Package evaluation of MRIgeneralizedBloch on Julia 1.13.0-DEV.974 (7bbb213719*) started at 2025-08-13T05:10:11.091 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 9.26s ################################################################################ # Installation # Installing MRIgeneralizedBloch... Resolving package versions... Installed FastTransforms ─ v0.17.0 Updating `~/.julia/environments/v1.13/Project.toml` [9689932d] + MRIgeneralizedBloch v0.10.0 Updating `~/.julia/environments/v1.13/Manifest.toml` [47edcb42] + ADTypes v1.16.0 [621f4979] + AbstractFFTs v1.5.0 [7d9f7c33] + Accessors v0.1.42 [79e6a3ab] + Adapt v4.3.0 [66dad0bd] + AliasTables v1.1.3 [a95523ee] + AlmostBlockDiagonals v0.1.10 [28f2ccd6] + ApproxFun v0.13.28 [fbd15aa5] + ApproxFunBase v0.9.33 [59844689] + ApproxFunFourier v0.3.31 [b70543e2] + ApproxFunOrthogonalPolynomials v0.6.61 [f8fcb915] + ApproxFunSingularities v0.3.21 [ec485272] + ArnoldiMethod v0.4.0 [4fba245c] + ArrayInterface v7.19.0 [4c555306] + ArrayLayouts v1.11.2 [13072b0f] + AxisAlgorithms v1.1.0 [aae01518] + BandedMatrices v1.9.4 [0e736298] + Bessels v0.2.8 [62783981] + BitTwiddlingConvenienceFunctions v0.1.6 [8e7c35d0] + BlockArrays v1.7.0 [ffab5731] + BlockBandedMatrices v0.13.4 [764a87c0] + BoundaryValueDiffEq v5.18.0 [7227322d] + BoundaryValueDiffEqAscher v1.8.0 [56b672f2] + BoundaryValueDiffEqCore v1.11.1 [85d9eb09] + BoundaryValueDiffEqFIRK v1.9.0 [1a22d4ce] + BoundaryValueDiffEqMIRK v1.9.0 [9255f1d6] + BoundaryValueDiffEqMIRKN v1.8.0 [ed55bfe0] + BoundaryValueDiffEqShooting v1.9.0 [70df07ce] + BracketingNonlinearSolve v1.3.0 [fa961155] + CEnum v0.5.0 [2a0fbf3d] + CPUSummary v0.2.7 [49dc2e85] + Calculus v0.5.2 [d360d2e6] + ChainRulesCore v1.26.0 [fb6a15b2] + CloseOpenIntervals v0.1.13 [861a8166] + Combinatorics v1.0.3 [38540f10] + CommonSolve v0.2.4 [bbf7d656] + CommonSubexpressions v0.3.1 [f70d9fcc] + CommonWorldInvalidations v1.0.0 [34da2185] + Compat v4.18.0 [b152e2b5] + CompositeTypes v0.1.4 [a33af91c] + CompositionsBase v0.1.2 [2569d6c7] + ConcreteStructs v0.2.3 [187b0558] + ConstructionBase v1.6.0 [adafc99b] + CpuId v0.3.1 [a8cc5b0e] + Crayons v4.1.1 [667455a9] + Cubature v1.5.1 [717857b8] + DSP v0.8.4 [9a962f9c] + DataAPI v1.16.0 ⌅ [864edb3b] + DataStructures v0.18.22 [e2d170a0] + DataValueInterfaces v1.0.0 [bcd4f6db] + DelayDiffEq v5.58.0 [2b5f629d] + DiffEqBase v6.183.0 [459566f4] + DiffEqCallbacks v4.9.0 [77a26b50] + DiffEqNoiseProcess v5.24.1 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [0c46a032] + DifferentialEquations v7.16.1 [a0c0ee7d] + DifferentiationInterface v0.7.4 [b4f34e82] + Distances v0.10.12 [31c24e10] + Distributions v0.25.120 [ffbed154] + DocStringExtensions v0.9.5 [5b8099bc] + DomainSets v0.7.16 [4e289a0a] + EnumX v1.0.5 [f151be2c] + EnzymeCore v0.8.12 [d4d017d3] + ExponentialUtilities v1.27.0 [e2ba6199] + ExprTools v0.1.10 [55351af7] + ExproniconLite v0.10.14 [7a1cc6ca] + FFTW v1.9.0 [9d29842c] + FastAlmostBandedMatrices v0.1.5 [7034ab61] + FastBroadcast v0.3.5 [9aa1b823] + FastClosures v0.3.2 [442a2c76] + FastGaussQuadrature v1.0.2 [a4df4552] + FastPower v1.1.3 [057dd010] + FastTransforms v0.17.0 [1a297f60] + FillArrays v1.13.0 [6a86dc24] + FiniteDiff v2.27.0 [f6369f11] + ForwardDiff v1.0.1 [069b7b12] + FunctionWrappers v1.1.3 [77dc65aa] + FunctionWrappersWrappers v0.1.3 [d9f16b24] + Functors v0.5.2 [46192b85] + GPUArraysCore v0.2.0 [a8297547] + GenericFFT v0.1.6 [c145ed77] + GenericSchur v0.5.5 [86223c79] + Graphs v1.13.0 [f0d1745a] + HalfIntegers v1.6.0 [34004b35] + HypergeometricFunctions v0.3.28 [615f187c] + IfElse v0.1.1 [4858937d] + InfiniteArrays v0.15.6 [e1ba4f0e] + Infinities v0.1.11 [d25df0c9] + Inflate v0.1.5 [a98d9a8b] + Interpolations v0.16.1 [8197267c] + IntervalSets v0.7.11 [3587e190] + InverseFunctions v0.1.17 [92d709cd] + IrrationalConstants v0.2.4 [c8e1da08] + IterTools v1.10.0 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.1 [ae98c720] + Jieko v0.2.1 [ccbc3e58] + JumpProcesses v9.17.0 [ba0b0d4f] + Krylov v0.10.1 [b964fa9f] + LaTeXStrings v1.4.0 [10f19ff3] + LayoutPointers v0.1.17 [5078a376] + LazyArrays v2.6.2 [2d8b4e74] + LevyArea v1.0.0 [87fe0de2] + LineSearch v0.1.4 [d3d80556] + LineSearches v7.4.0 [7ed4a6bd] + LinearSolve v3.28.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [e65ccdef] + LowRankMatrices v1.0.2 [2fda8390] + LsqFit v0.15.1 [9689932d] + MRIgeneralizedBloch v0.10.0 [1914dd2f] + MacroTools v0.5.16 [d125e4d3] + ManualMemory v0.1.8 [a3b82374] + MatrixFactorizations v3.0.1 [bb5d69b7] + MaybeInplace v0.1.4 [e1d29d7a] + Missings v1.2.0 [2e0e35c7] + Moshi v0.3.7 [46d2c3a1] + MuladdMacro v0.2.4 [d41bc354] + NLSolversBase v7.10.0 [2774e3e8] + NLsolve v4.5.1 [77ba4419] + NaNMath v1.1.3 [8913a72c] + NonlinearSolve v4.10.0 [be0214bd] + NonlinearSolveBase v1.14.0 [5959db7a] + NonlinearSolveFirstOrder v1.7.0 [9a2c21bd] + NonlinearSolveQuasiNewton v1.8.0 [26075421] + NonlinearSolveSpectralMethods v1.3.0 [8d37c425] + OddEvenIntegers v0.1.12 [6fe1bfb0] + OffsetArrays v1.17.0 [429524aa] + Optim v1.13.2 [bac558e1] + OrderedCollections v1.8.1 [1dea7af3] + OrdinaryDiffEq v6.101.0 [89bda076] + OrdinaryDiffEqAdamsBashforthMoulton v1.5.0 ⌃ [6ad6398a] + OrdinaryDiffEqBDF v1.9.0 [bbf590c4] + OrdinaryDiffEqCore v1.30.0 ⌃ [50262376] + OrdinaryDiffEqDefault v1.7.0 ⌃ [4302a76b] + OrdinaryDiffEqDifferentiation v1.11.0 [9286f039] + OrdinaryDiffEqExplicitRK v1.4.0 ⌃ [e0540318] + OrdinaryDiffEqExponentialRK v1.7.0 ⌃ [becaefa8] + OrdinaryDiffEqExtrapolation v1.7.0 ⌃ [5960d6e9] + OrdinaryDiffEqFIRK v1.15.0 [101fe9f7] + OrdinaryDiffEqFeagin v1.4.0 [d3585ca7] + OrdinaryDiffEqFunctionMap v1.5.0 [d28bc4f8] + OrdinaryDiffEqHighOrderRK v1.5.0 ⌃ [9f002381] + OrdinaryDiffEqIMEXMultistep v1.6.0 [521117fe] + OrdinaryDiffEqLinear v1.6.0 [1344f307] + OrdinaryDiffEqLowOrderRK v1.6.0 [b0944070] + OrdinaryDiffEqLowStorageRK v1.6.0 ⌃ [127b3ac7] + OrdinaryDiffEqNonlinearSolve v1.12.0 [c9986a66] + OrdinaryDiffEqNordsieck v1.4.0 ⌃ [5dd0a6cf] + OrdinaryDiffEqPDIRK v1.5.0 [5b33eab2] + OrdinaryDiffEqPRK v1.4.0 [04162be5] + OrdinaryDiffEqQPRK v1.4.0 [af6ede74] + OrdinaryDiffEqRKN v1.5.0 ⌃ [43230ef6] + OrdinaryDiffEqRosenbrock v1.14.0 ⌃ [2d112036] + OrdinaryDiffEqSDIRK v1.6.0 [669c94d9] + OrdinaryDiffEqSSPRK v1.6.0 ⌃ [e3e12d00] + OrdinaryDiffEqStabilizedIRK v1.5.0 [358294b1] + OrdinaryDiffEqStabilizedRK v1.4.0 [fa646aed] + OrdinaryDiffEqSymplecticRK v1.7.0 [b1df2697] + OrdinaryDiffEqTsit5 v1.5.0 [79d7bb75] + OrdinaryDiffEqVerner v1.6.0 [90014a1f] + PDMats v0.11.35 [d96e819e] + Parameters v0.12.3 [e409e4f3] + PoissonRandom v0.4.6 [f517fe37] + Polyester v0.7.18 [1d0040c9] + PolyesterWeave v0.2.2 [f27b6e38] + Polynomials v4.1.0 [85a6dd25] + PositiveFactorizations v0.2.4 [d236fae5] + PreallocationTools v0.4.31 [aea7be01] + PrecompileTools v1.3.2 [21216c6a] + Preferences v1.5.0 [08abe8d2] + PrettyTables v2.4.0 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [74087812] + Random123 v1.7.1 [e6cf234a] + RandomNumbers v1.6.0 [c84ed2f1] + Ratios v0.4.5 [3cdcf5f2] + RecipesBase v1.3.4 [807425ed] + RecurrenceRelationships v0.2.0 [731186ca] + RecursiveArrayTools v3.37.0 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [ae5879a3] + ResettableStacks v1.1.1 [79098fc4] + Rmath v0.8.0 [7e49a35a] + RuntimeGeneratedFunctions v0.5.15 [94e857df] + SIMDTypes v0.1.0 [0bca4576] + SciMLBase v2.108.0 [19f34311] + SciMLJacobianOperators v0.1.8 [c0aeaf25] + SciMLOperators v1.5.0 [53ae85a6] + SciMLStructures v1.7.0 [efcf1570] + Setfield v1.1.2 [727e6d20] + SimpleNonlinearSolve v2.7.0 [699a6c99] + SimpleTraits v0.9.5 [ce78b400] + SimpleUnPack v1.1.0 [a2af1166] + SortingAlgorithms v1.2.2 [9f842d2f] + SparseConnectivityTracer v1.0.0 [0a514795] + SparseMatrixColorings v0.4.21 [276daf66] + SpecialFunctions v2.5.1 [aedffcd0] + Static v1.2.0 [0d7ed370] + StaticArrayInterface v1.8.0 [90137ffa] + StaticArrays v1.9.14 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.1 [2913bbd2] + StatsBase v0.34.6 [4c63d2b9] + StatsFuns v1.5.0 [9672c7b4] + SteadyStateDiffEq v2.5.0 [789caeaf] + StochasticDiffEq v6.81.0 [7792a7ef] + StrideArraysCore v0.5.7 [892a3eda] + StringManipulation v0.4.1 [c3572dad] + Sundials v4.28.0 [2efcf032] + SymbolicIndexingInterface v0.3.42 [3783bdb8] + TableTraits v1.0.1 [bd369af6] + Tables v1.12.1 [8290d209] + ThreadingUtilities v0.5.5 [a759f4b9] + TimerOutputs v0.5.29 [c751599d] + ToeplitzMatrices v0.8.5 [781d530d] + TruncatedStacktraces v1.4.0 [3a884ed6] + UnPack v1.0.2 [efce3f68] + WoodburyMatrices v1.0.0 [7bc98958] + Cubature_jll v1.0.5+0 [f5851436] + FFTW_jll v3.3.11+0 [34b6f7d7] + FastTransforms_jll v0.6.3+0 [1d5cc7b8] + IntelOpenMP_jll v2025.2.0+0 [1d63c593] + LLVMOpenMP_jll v18.1.8+0 [856f044c] + MKL_jll v2025.2.0+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 ⌅ [fb77eaff] + Sundials_jll v5.2.3+0 [1317d2d5] + oneTBB_jll v2022.0.0+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [f43a241f] + Downloads v1.7.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.12.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.13.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [1a1011a3] + SharedArrays v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [deac9b47] + LibCURL_jll v8.15.0+1 [e37daf67] + LibGit2_jll v1.9.1+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [3a97d323] + MPFR_jll v4.2.2+0 [14a3606d] + MozillaCACerts_jll v2025.7.15 [4536629a] + OpenBLAS_jll v0.3.29+0 [05823500] + OpenLibm_jll v0.8.5+0 [458c3c95] + OpenSSL_jll v3.5.2+0 [efcefdf7] + PCRE2_jll v10.45.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.1+2 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.13.1+0 [8e850ede] + nghttp2_jll v1.65.0+0 [3f19e933] + p7zip_jll v17.5.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Building FastTransforms → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/b41969ccec1379b33967c9b720a250d4687cfc2d/build.log` Installation completed after 13.27s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 483.54s ################################################################################ # Testing # Testing MRIgeneralizedBloch Status `/tmp/jl_bk3jc5/Project.toml` [6e4b80f9] BenchmarkTools v1.6.0 [0c46a032] DifferentialEquations v7.16.1 [26cc04aa] FiniteDifferences v0.12.32 [23992714] MAT v0.10.7 [9689932d] MRIgeneralizedBloch v0.10.0 [1fd47b50] QuadGK v2.11.2 [276daf66] SpecialFunctions v2.5.1 [90137ffa] StaticArrays v1.9.14 [37e2e46d] LinearAlgebra v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_bk3jc5/Manifest.toml` [47edcb42] ADTypes v1.16.0 [621f4979] AbstractFFTs v1.5.0 [7d9f7c33] Accessors v0.1.42 [79e6a3ab] Adapt v4.3.0 [66dad0bd] AliasTables v1.1.3 [a95523ee] AlmostBlockDiagonals v0.1.10 [28f2ccd6] ApproxFun v0.13.28 [fbd15aa5] ApproxFunBase v0.9.33 [59844689] ApproxFunFourier v0.3.31 [b70543e2] ApproxFunOrthogonalPolynomials v0.6.61 [f8fcb915] ApproxFunSingularities v0.3.21 [ec485272] ArnoldiMethod v0.4.0 [4fba245c] ArrayInterface v7.19.0 [4c555306] ArrayLayouts v1.11.2 [13072b0f] AxisAlgorithms v1.1.0 [aae01518] BandedMatrices v1.9.4 [6e4b80f9] BenchmarkTools v1.6.0 [0e736298] Bessels v0.2.8 [62783981] BitTwiddlingConvenienceFunctions v0.1.6 [8e7c35d0] BlockArrays v1.7.0 [ffab5731] BlockBandedMatrices v0.13.4 [764a87c0] BoundaryValueDiffEq v5.18.0 [7227322d] BoundaryValueDiffEqAscher v1.8.0 [56b672f2] BoundaryValueDiffEqCore v1.11.1 [85d9eb09] BoundaryValueDiffEqFIRK v1.9.0 [1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0 [9255f1d6] BoundaryValueDiffEqMIRKN v1.8.0 [ed55bfe0] BoundaryValueDiffEqShooting v1.9.0 [70df07ce] BracketingNonlinearSolve v1.3.0 [e1450e63] BufferedStreams v1.2.2 [fa961155] CEnum v0.5.0 [2a0fbf3d] CPUSummary v0.2.7 [49dc2e85] Calculus v0.5.2 [d360d2e6] ChainRulesCore v1.26.0 [fb6a15b2] CloseOpenIntervals v0.1.13 [944b1d66] CodecZlib v0.7.8 [861a8166] Combinatorics v1.0.3 [38540f10] CommonSolve v0.2.4 [bbf7d656] CommonSubexpressions v0.3.1 [f70d9fcc] CommonWorldInvalidations v1.0.0 [34da2185] Compat v4.18.0 [b152e2b5] CompositeTypes v0.1.4 [a33af91c] CompositionsBase v0.1.2 [2569d6c7] ConcreteStructs v0.2.3 [187b0558] ConstructionBase v1.6.0 [adafc99b] CpuId v0.3.1 [a8cc5b0e] Crayons v4.1.1 [667455a9] Cubature v1.5.1 [717857b8] DSP v0.8.4 [9a962f9c] DataAPI v1.16.0 ⌅ [864edb3b] DataStructures v0.18.22 [e2d170a0] DataValueInterfaces v1.0.0 [bcd4f6db] DelayDiffEq v5.58.0 [2b5f629d] DiffEqBase v6.183.0 [459566f4] DiffEqCallbacks v4.9.0 [77a26b50] DiffEqNoiseProcess v5.24.1 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [0c46a032] DifferentialEquations v7.16.1 [a0c0ee7d] DifferentiationInterface v0.7.4 [b4f34e82] Distances v0.10.12 [31c24e10] Distributions v0.25.120 [ffbed154] DocStringExtensions v0.9.5 [5b8099bc] DomainSets v0.7.16 [4e289a0a] EnumX v1.0.5 [f151be2c] EnzymeCore v0.8.12 [d4d017d3] ExponentialUtilities v1.27.0 [e2ba6199] ExprTools v0.1.10 [55351af7] ExproniconLite v0.10.14 [7a1cc6ca] FFTW v1.9.0 [9d29842c] FastAlmostBandedMatrices v0.1.5 [7034ab61] 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Jieko v0.2.1 [ccbc3e58] JumpProcesses v9.17.0 [ba0b0d4f] Krylov v0.10.1 [b964fa9f] LaTeXStrings v1.4.0 [10f19ff3] LayoutPointers v0.1.17 [5078a376] LazyArrays v2.6.2 [2d8b4e74] LevyArea v1.0.0 [87fe0de2] LineSearch v0.1.4 [d3d80556] LineSearches v7.4.0 [7ed4a6bd] LinearSolve v3.28.0 [2ab3a3ac] LogExpFunctions v0.3.29 [e65ccdef] LowRankMatrices v1.0.2 [2fda8390] LsqFit v0.15.1 [23992714] MAT v0.10.7 [3da0fdf6] MPIPreferences v0.1.11 [9689932d] MRIgeneralizedBloch v0.10.0 [1914dd2f] MacroTools v0.5.16 [d125e4d3] ManualMemory v0.1.8 [a3b82374] MatrixFactorizations v3.0.1 [bb5d69b7] MaybeInplace v0.1.4 [e1d29d7a] Missings v1.2.0 [2e0e35c7] Moshi v0.3.7 [46d2c3a1] MuladdMacro v0.2.4 [d41bc354] NLSolversBase v7.10.0 [2774e3e8] NLsolve v4.5.1 [77ba4419] NaNMath v1.1.3 [8913a72c] NonlinearSolve v4.10.0 [be0214bd] NonlinearSolveBase v1.14.0 [5959db7a] NonlinearSolveFirstOrder v1.7.0 [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0 [26075421] NonlinearSolveSpectralMethods v1.3.0 [8d37c425] 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[4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.15.0+1 [e37daf67] LibGit2_jll v1.9.1+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.7.15 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.5+0 [458c3c95] OpenSSL_jll v3.5.2+0 [efcefdf7] PCRE2_jll v10.45.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.1+2 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.13.1+0 [8e850ede] nghttp2_jll v1.65.0+0 [3f19e933] p7zip_jll v17.5.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... Precompiling packages... 23056.8 ms ✓ ApproxFunBase → ApproxFunBaseTestExt 1 dependency successfully precompiled in 24 seconds. 107 already precompiled. Precompiling packages... 2976.5 ms ✓ FiniteDifferences 1 dependency successfully precompiled in 3 seconds. 18 already precompiled. Precompiling packages... 2725.3 ms ✓ DifferentiationInterface → DifferentiationInterfaceFiniteDifferencesExt 1 dependency successfully precompiled in 4 seconds. 25 already precompiled. Time to pre-calculate the interpolation: 4.036 ms (72 allocations: 17.66 KiB) Time to evaluate the original super-Lorenzian Green's function: 4.780 μs (2 allocations: 32 bytes) Time to evaluate the interpolated super-Lorenzian Green's function: 354.391 ns (2 allocations: 32 bytes) Test Summary: | Pass Total Time Greens_Interpolation | 103 103 1m35.8s Test Summary: | Pass Total Time apply_hamiltonian_gbloch! | 50 50 5m04.2s apply_hamiltonian_gbloch! shaped RF pulses: Error During Test at /home/pkgeval/.julia/packages/MRIgeneralizedBloch/861wP/test/runtests.jl:14 Got exception outside of a @test LoadError: UndefRefError: access to undefined reference Stacktrace: [1] getproperty @ ./Base_compiler.jl:57 [inlined] [2] ode_interpolation(tval::Float64, id::OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, idxs::Nothing, ::Type{Val{0}}, p::Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, continuity::Symbol) @ OrdinaryDiffEqCore ~/.julia/packages/OrdinaryDiffEqCore/oFTse/src/dense/generic_dense.jl:794 ┌ [3] InterpolationData │ @ ~/.julia/packages/OrdinaryDiffEqCore/oFTse/src/interp_func.jl:46 [inlined] ╰──── repeated 2 times [5] (::DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}})(p::Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, t::Float64, ::Type{Val{0}}; idxs::Nothing) @ DelayDiffEq ~/.julia/packages/DelayDiffEq/irsJ6/src/history_function.jl:42 ┌ [6] HistoryFunction │ @ ~/.julia/packages/DelayDiffEq/irsJ6/src/history_function.jl:20 [inlined] ╰──── repeated 2 times [8] (::MRIgeneralizedBloch.var"#apply_hamiltonian_gbloch!##6#apply_hamiltonian_gbloch!##7"{DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}, Float64, Float64})(τ::Float64) @ MRIgeneralizedBloch ~/.julia/packages/MRIgeneralizedBloch/861wP/src/DiffEq_Hamiltonians.jl:163 [9] evalrule(f::MRIgeneralizedBloch.var"#apply_hamiltonian_gbloch!##6#apply_hamiltonian_gbloch!##7"{DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}, Float64, Float64}, a::Float64, b::Float64, x::Vector{Float64}, w::Vector{Float64}, wg::Vector{Float64}, nrm::typeof(LinearAlgebra.norm)) @ QuadGK ~/.julia/packages/QuadGK/7rND3/src/evalrule.jl:25 [10] #do_quadgk##4 @ ~/.julia/packages/QuadGK/7rND3/src/adapt.jl:54 [inlined] [11] ntuple @ ./ntuple.jl:50 [inlined] [12] do_quadgk(f::MRIgeneralizedBloch.var"#apply_hamiltonian_gbloch!##6#apply_hamiltonian_gbloch!##7"{DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}, Float64, Float64}, s::Tuple{Float64, Float64}, n::Int64, atol::Nothing, rtol::Nothing, maxevals::Int64, nrm::typeof(LinearAlgebra.norm), _segbuf::Nothing, eval_segbuf::Nothing) @ QuadGK ~/.julia/packages/QuadGK/7rND3/src/adapt.jl:52 [13] #28 @ ~/.julia/packages/QuadGK/7rND3/src/api.jl:83 [inlined] [14] handle_infinities(workfunc::QuadGK.var"#28#29"{Nothing, Nothing, Int64, Int64, typeof(LinearAlgebra.norm), Nothing, Nothing}, f::MRIgeneralizedBloch.var"#apply_hamiltonian_gbloch!##6#apply_hamiltonian_gbloch!##7"{DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}, Float64, Float64}, s::Tuple{Float64, Float64}) @ QuadGK ~/.julia/packages/QuadGK/7rND3/src/adapt.jl:189 [15] #quadgk#26 @ ~/.julia/packages/QuadGK/7rND3/src/api.jl:82 [inlined] [16] quadgk @ ~/.julia/packages/QuadGK/7rND3/src/api.jl:80 [inlined] [17] quadgk @ ~/.julia/packages/QuadGK/7rND3/src/api.jl:77 [inlined] [18] apply_hamiltonian_gbloch!(∂m∂t::Vector{Float64}, m::Vector{Float64}, mfun::DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, p::Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, t::Float64) @ MRIgeneralizedBloch ~/.julia/packages/MRIgeneralizedBloch/861wP/src/DiffEq_Hamiltonians.jl:163 [19] ODEFunctionWrapper @ ~/.julia/packages/DelayDiffEq/irsJ6/src/functionwrapper.jl:70 [inlined] [20] initialize! @ ~/.julia/packages/OrdinaryDiffEqTsit5/o07IY/src/tsit_perform_step.jl:175 [inlined] [21] initialize!(integrator::DelayDiffEq.DDEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Float64, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, DDEProblem{Vector{Float64}, Tuple{Float64, Float64}, Tuple{}, Tuple{}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DDEFunction{true, SciMLBase.FullSpecialize, typeof(apply_hamiltonian_gbloch!), LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing}, var"#55#56", @Kwargs{}, SciMLBase.StandardDDEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, true, Vector{Float64}, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Nothing, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}}, OrdinaryDiffEqCore.InterpolationData{DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, Vector{Int64}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}, SciMLBase.DEStats, Vector{Int64}, Nothing, Nothing, Nothing}, OrdinaryDiffEqCore.DefaultCache{OrdinaryDiffEqTsit5.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqVerner.Vern7Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, OrdinaryDiffEqRosenbrock.Rosenbrock23Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.Rosenbrock23Tableau{Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}, JCType, Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}, DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgDerivativePrep{Tuple{SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqBDF.FBDFCache{5, N, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)} where N<:(OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, jcType, LinearSolve.LinearCache{Matrix{Float64}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, LinearSolve.DefaultLinearSolver, LinearSolve.DefaultLinearSolverInit{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, LinearAlgebra.QRCompactWY{Float64, Matrix{Float64}, Matrix{Float64}}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Vector{Int64}}, Nothing, Nothing, Nothing, LinearAlgebra.SVD{Float64, Float64, Matrix{Float64}, Vector{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, LinearAlgebra.Cholesky{Float64, Matrix{Float64}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int32}}, Base.RefValue{Int32}}, Tuple{LinearAlgebra.LU{Float64, Matrix{Float64}, Vector{Int64}}, Base.RefValue{Int64}}, LinearAlgebra.QRPivoted{Float64, Matrix{Float64}, Vector{Float64}, Vector{Int64}}, Nothing, Nothing}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64} where jcType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}), OrdinaryDiffEqBDF.FBDFCache{5, OrdinaryDiffEqNonlinearSolve.NLSolver{NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, true, Vector{Float64}, Rational{Int64}, Nothing, Float64, OrdinaryDiffEqNonlinearSolve.NLNewtonCache{Vector{Float64}, Float64, Float64, Vector{Float64}, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, SciMLBase.UJacobianWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Tuple{Nothing, Nothing}, LinearSolve.LinearCache{OrdinaryDiffEqDifferentiation.WOperator{true, Any, LinearAlgebra.UniformScaling{Bool}, Float64, OrdinaryDiffEqDifferentiation.JVPCache{Float64}, Vector{Float64}, Nothing, OrdinaryDiffEqDifferentiation.JVPCache{Float64}}, Vector{Float64}, Vector{Float64}, SciMLBase.NullParameters, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, Krylov.GmresWorkspace{Float64, Float64, Vector{Float64}}, LinearSolve.InvPreconditioner{LinearAlgebra.Diagonal{Float64, Vector{Float64}}}, LinearAlgebra.Diagonal{Float64, Vector{Float64}}, Float64, Bool, LinearSolveAdjoint{Missing}}}, Float64}, Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, SMatrix{5, 6, Rational{Int64}, 30}, Float64, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Tuple{Vector{Float64}, Vector{Float64}, DataType, DataType, DataType, Vector{Float64}, Vector{Float64}, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), var"#55#56", LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Float64, Float64, Float64, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}, Bool, Val{true}}, OrdinaryDiffEqCore.AutoSwitchCache{Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}}, Tuple{Rosenbrock23{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, Nothing}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, Nothing}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}}, Rational{Int64}, Int64}, Vector{Float64}}, Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing}, Vector{Float64}, Tuple{Float64, Float64, Float64, Int64, Float64, ApproxFunBase.Fun{ApproxFunOrthogonalPolynomials.Chebyshev{IntervalSets.ClosedInterval{Float64}, Float64}, Float64, Vector{Float64}}}}, Vector{Float64}, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Float64, Tuple{}}, ForwardDiff.DerivativeConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, Tuple{}}}, Float64, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)} where JCType<:Tuple{DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A), DifferentiationInterfaceForwardDiffExt.ForwardDiffTwoArgJacobianPrep{Nothing, C, Tuple{}} where C<:(ForwardDiff.JacobianConfig{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A, <:Tuple{Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A, Array{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, _A}, 1} where _A}} where _A)}, OrdinaryDiffEqRosenbrock.RosenbrockCache{Vector{Float64}, Vector{Float64}, Float64, Vector{Float64}, Matrix{Float64}, Matrix{Float64}, OrdinaryDiffEqRosenbrock.RodasTableau{Float64, Float64}, SciMLBase.TimeGradientWrapper{true, DelayDiffEq.ODEFunctionWrapper{true, typeof(apply_hamiltonian_gbloch!), DelayDiffEq.HistoryFunction{var"#55#56", DelayDiffEq.HistoryODEIntegrator{CompositeAlgorithm{0, Tuple{Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Vern7{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}, Rosenbrock23{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, Rodas5P{0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, Nothing, NLNewton{Rational{Int64}, Rational{Int64}, Rational{Int64}, Nothing}, typeof(OrdinaryDiffEqCore.DEFAULT_PRECS), Val{:forward}(), true, nothing, Nothing, Nothing, typeof(OrdinaryDiffEqCore.trivial_limiter!)}, FBDF{5, 0, AutoForwardDiff{nothing, ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}}, KrylovJL{typeof(Krylov.gmres!), Int64, Nothing, Tuple{}, @Kwargs{}}, NLNewton{Rati PkgEval terminated after 1147.22s: test log exceeded the size limit