Package evaluation of PortHamiltonianModelReduction on Julia 1.13.0-DEV.959 (b35c4f471f*) started at 2025-08-08T02:55:02.767 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 9.67s ################################################################################ # Installation # Installing PortHamiltonianModelReduction... Resolving package versions... Updating `~/.julia/environments/v1.13/Project.toml` [b1e0afa7] + PortHamiltonianModelReduction v1.0.0 Updating `~/.julia/environments/v1.13/Manifest.toml` [47edcb42] + ADTypes v1.16.0 [14f7f29c] + AMD v0.5.3 [7d9f7c33] + Accessors v0.1.42 [79e6a3ab] + Adapt v4.3.0 [66dad0bd] + AliasTables v1.1.3 [4fba245c] + ArrayInterface v7.19.0 [4c555306] + ArrayLayouts v1.11.2 [6e4b80f9] + BenchmarkTools v1.6.0 [62783981] + BitTwiddlingConvenienceFunctions v0.1.6 [70df07ce] + BracketingNonlinearSolve v1.3.0 [1e616198] + COSMO v0.8.9 [bbd8fffe] + COSMOAccelerators v0.1.0 [2a0fbf3d] + CPUSummary v0.2.6 [d360d2e6] + ChainRulesCore v1.25.2 [fb6a15b2] + CloseOpenIntervals v0.1.13 [523fee87] + CodecBzip2 v0.8.5 [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 [a33af91c] + CompositionsBase v0.1.2 [2569d6c7] + ConcreteStructs v0.2.3 [187b0558] + ConstructionBase v1.6.0 [a6e380b2] + ControlSystems v1.14.0 [aaaaaaaa] + ControlSystemsBase v1.18.1 [adafc99b] + CpuId v0.3.1 [a8cc5b0e] + Crayons v4.1.1 [9a962f9c] + DataAPI v1.16.0 ⌅ [864edb3b] + DataStructures v0.18.22 [e2d170a0] + DataValueInterfaces v1.0.0 [bcd4f6db] + DelayDiffEq v5.55.0 [2b5f629d] + DiffEqBase v6.182.0 [459566f4] + DiffEqCallbacks v4.9.0 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [a0c0ee7d] + DifferentiationInterface v0.7.4 [ffbed154] + DocStringExtensions v0.9.5 [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 [7034ab61] + FastBroadcast v0.3.5 [9aa1b823] + FastClosures v0.3.2 [442a2c76] + FastGaussQuadrature v1.0.2 [a4df4552] + FastPower v1.1.3 [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 [14197337] + GenericLinearAlgebra v0.3.18 [c145ed77] + GenericSchur v0.5.5 [e91730f6] + Hungarian v0.7.0 [b99e6be6] + Hypatia v0.9.0 [615f187c] + IfElse v0.1.1 [3587e190] + InverseFunctions v0.1.17 [92d709cd] + IrrationalConstants v0.2.4 [c8e1da08] + IterTools v1.10.0 [42fd0dbc] + IterativeSolvers v0.9.4 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.1 [682c06a0] + JSON v0.21.4 [0f8b85d8] + JSON3 v1.14.3 [ae98c720] + Jieko v0.2.1 [4076af6c] + JuMP v1.28.0 [ba0b0d4f] + Krylov v0.10.1 ⌅ [0b1a1467] + KrylovKit v0.9.5 [b964fa9f] + LaTeXStrings v1.4.0 [10f19ff3] + LayoutPointers v0.1.17 [5078a376] + LazyArrays v2.6.2 [87fe0de2] + LineSearch v0.1.4 [d3d80556] + LineSearches v7.4.0 [7a12625a] + LinearMaps v3.11.4 [5c8ed15e] + LinearOperators v2.10.0 [7ed4a6bd] + LinearSolve v3.25.1 [2ab3a3ac] + LogExpFunctions v0.3.29 [607ca3ad] + LowRankOpt v0.2.1 [1914dd2f] + MacroTools v0.5.16 [d125e4d3] + 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v1.1.0 [e0540318] + OrdinaryDiffEqExponentialRK v1.5.0 [becaefa8] + OrdinaryDiffEqExtrapolation v1.5.0 [5960d6e9] + OrdinaryDiffEqFIRK v1.13.0 [101fe9f7] + OrdinaryDiffEqFeagin v1.1.0 [d3585ca7] + OrdinaryDiffEqFunctionMap v1.2.0 [d28bc4f8] + OrdinaryDiffEqHighOrderRK v1.2.0 [9f002381] + OrdinaryDiffEqIMEXMultistep v1.4.0 [521117fe] + OrdinaryDiffEqLinear v1.3.0 [1344f307] + OrdinaryDiffEqLowOrderRK v1.3.0 [b0944070] + OrdinaryDiffEqLowStorageRK v1.3.0 [127b3ac7] + OrdinaryDiffEqNonlinearSolve v1.11.0 [c9986a66] + OrdinaryDiffEqNordsieck v1.1.0 [5dd0a6cf] + OrdinaryDiffEqPDIRK v1.3.1 [5b33eab2] + OrdinaryDiffEqPRK v1.1.0 [04162be5] + OrdinaryDiffEqQPRK v1.1.0 [af6ede74] + OrdinaryDiffEqRKN v1.2.0 [43230ef6] + OrdinaryDiffEqRosenbrock v1.12.0 [2d112036] + OrdinaryDiffEqSDIRK v1.4.0 [669c94d9] + OrdinaryDiffEqSSPRK v1.3.0 [e3e12d00] + OrdinaryDiffEqStabilizedIRK v1.3.0 [358294b1] + OrdinaryDiffEqStabilizedRK v1.2.0 [fa646aed] + OrdinaryDiffEqSymplecticRK v1.4.0 [b1df2697] + OrdinaryDiffEqTsit5 v1.2.0 [79d7bb75] + OrdinaryDiffEqVerner v1.3.0 [65ce6f38] + PackageExtensionCompat v1.0.2 [d96e819e] + Parameters v0.12.3 [69de0a69] + Parsers v2.8.3 [f517fe37] + Polyester v0.7.18 [1d0040c9] + PolyesterWeave v0.2.2 [3a141323] + PolynomialRoots v1.0.0 [f27b6e38] + Polynomials v4.1.0 [b1e0afa7] + PortHamiltonianModelReduction v1.0.0 [6ff9205f] + PortHamiltonianSystems v1.0.0 [85a6dd25] + PositiveFactorizations v0.2.4 [d236fae5] + PreallocationTools v0.4.29 [aea7be01] + PrecompileTools v1.3.2 [21216c6a] + Preferences v1.4.3 [08abe8d2] + PrettyTables v2.4.0 [43287f4e] + PtrArrays v1.3.0 [bfc457fd] + QDLDL v0.4.1 [7e166fd4] + QuadraticOutputSystems v1.0.1 [3cdcf5f2] + RecipesBase v1.3.4 [731186ca] + RecursiveArrayTools v3.36.0 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [7e49a35a] + RuntimeGeneratedFunctions v0.5.15 [94e857df] + SIMDTypes v0.1.0 [0bca4576] + SciMLBase v2.108.0 [19f34311] + SciMLJacobianOperators v0.1.8 [c0aeaf25] + SciMLOperators v1.4.0 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To see why use `status --outdated -m` Installation completed after 6.89s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 1280.02s ################################################################################ # Testing # Testing PortHamiltonianModelReduction Status `/tmp/jl_qx2JB9/Project.toml` [4c88cf16] Aqua v0.8.14 [1e616198] COSMO v0.8.9 [aaaaaaaa] ControlSystemsBase v1.18.1 [26cc04aa] FiniteDifferences v0.12.32 [b99e6be6] Hypatia v0.9.0 [4076af6c] JuMP v1.28.0 [d3d80556] LineSearches v7.4.0 [99c1a7ee] MatrixEquations v2.5.3 [429524aa] Optim v1.13.2 [1dea7af3] OrdinaryDiffEq v6.101.0 [b1e0afa7] PortHamiltonianModelReduction v1.0.0 [6ff9205f] PortHamiltonianSystems v1.0.0 [7e166fd4] QuadraticOutputSystems v1.0.1 [5c889d49] SkewLinearAlgebra v1.0.0 [80703ced] VectorizationTransformations v0.1.0 [37e2e46d] LinearAlgebra v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_qx2JB9/Manifest.toml` [47edcb42] ADTypes v1.16.0 [14f7f29c] AMD v0.5.3 [7d9f7c33] Accessors v0.1.42 [79e6a3ab] Adapt v4.3.0 [66dad0bd] AliasTables v1.1.3 [4c88cf16] Aqua v0.8.14 [4fba245c] ArrayInterface 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DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [a0c0ee7d] DifferentiationInterface v0.7.4 [ffbed154] DocStringExtensions v0.9.5 [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 [7034ab61] FastBroadcast v0.3.5 [9aa1b823] FastClosures v0.3.2 [442a2c76] FastGaussQuadrature v1.0.2 [a4df4552] FastPower v1.1.3 [1a297f60] FillArrays v1.13.0 [6a86dc24] FiniteDiff v2.27.0 [26cc04aa] FiniteDifferences v0.12.32 [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 [14197337] GenericLinearAlgebra v0.3.18 [c145ed77] GenericSchur v0.5.5 [e91730f6] Hungarian v0.7.0 [b99e6be6] Hypatia v0.9.0 [615f187c] IfElse v0.1.1 [3587e190] InverseFunctions v0.1.17 [92d709cd] IrrationalConstants v0.2.4 [c8e1da08] IterTools v1.10.0 [42fd0dbc] IterativeSolvers v0.9.4 [82899510] IteratorInterfaceExtensions v1.0.0 [692b3bcd] JLLWrappers v1.7.1 [682c06a0] JSON v0.21.4 [0f8b85d8] JSON3 v1.14.3 [ae98c720] Jieko v0.2.1 [4076af6c] JuMP v1.28.0 [ba0b0d4f] Krylov v0.10.1 ⌅ [0b1a1467] KrylovKit v0.9.5 [b964fa9f] LaTeXStrings v1.4.0 [10f19ff3] LayoutPointers v0.1.17 [5078a376] LazyArrays v2.6.2 [87fe0de2] LineSearch v0.1.4 [d3d80556] LineSearches v7.4.0 [7a12625a] LinearMaps v3.11.4 [5c8ed15e] LinearOperators v2.10.0 [7ed4a6bd] LinearSolve v3.25.1 [2ab3a3ac] LogExpFunctions v0.3.29 [607ca3ad] LowRankOpt v0.2.1 [1914dd2f] MacroTools v0.5.16 [d125e4d3] ManualMemory v0.1.8 [b8f27783] MathOptInterface v1.42.1 [99c1a7ee] MatrixEquations v2.5.3 [48965c70] MatrixPencils v1.8.5 [bb5d69b7] MaybeInplace v0.1.4 [e1d29d7a] Missings v1.2.0 [2e0e35c7] Moshi v0.3.7 [46d2c3a1] MuladdMacro v0.2.4 [d8a4904e] MutableArithmetics v1.6.4 [a4795742] NLPModels v0.21.5 [792afdf1] NLPModelsJuMP v0.13.2 [d41bc354] NLSolversBase v7.10.0 [77ba4419] NaNMath v1.1.3 [8913a72c] NonlinearSolve v4.10.0 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Testing Running tests... [ Info: Using eps = 1.0e-8 Iter Function value Gradient norm 0 2.939327e+00 1.547396e+06 * time: 0.09626197814941406 ┌ Info: α = 0.001, f = 0.8473638459823979, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.473638e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 8.45e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 1 (vs limit Inf) │ Iterations: 11 │ f(x) calls: 60 │ ∇f(x) calls: 11 └ ) Iter Function value Gradient norm 0 8.491739e-01 2.849231e-03 * time: 1.5020370483398438e-5 ┌ Info: α = 0.0001, f = 0.8491739070793208, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.491739e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 2.20e-14 ≰ 0.0e+00 │ |x - x'|/|x'| = 4.64e-14 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.52e-13 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 4 │ f(x) calls: 8 │ ∇f(x) calls: 5 └ ) Iter Function value Gradient norm 0 8.493549e-01 2.850845e-04 * time: 1.0967254638671875e-5 ┌ Info: α = 1.0e-5, f = 0.8493549104304914, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493549e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.82e-14 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 3 │ f(x) calls: 7 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493730e-01 2.850922e-05 * time: 6.9141387939453125e-6 ┌ Info: α = 1.0e-6, f = 0.8493730107380113, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493730e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 4.45e-15 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 5 │ f(x) calls: 7 │ ∇f(x) calls: 5 └ ) Iter Function value Gradient norm 0 8.493748e-01 2.850930e-06 * time: 1.0967254638671875e-5 ┌ Info: α = 1.0e-7, f = 0.8493748207684899, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493748e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 3.51e-15 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 3 │ f(x) calls: 5 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493750e-01 2.850930e-07 * time: 8.821487426757812e-6 ┌ Info: α = 1.0e-8, f = 0.849375001771528, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.47e-09 ≰ 0.0e+00 │ |x - x'|/|x'| = 3.11e-09 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.18e-10 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 3 │ f(x) calls: 11 │ ∇f(x) calls: 4 └ ) Iter Function value Gradient norm 0 8.493750e-01 2.862778e-08 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-9, f = 0.8493750198718325, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.86e-08 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 1 │ f(x) calls: 12 │ ∇f(x) calls: 1 └ ) Iter Function value Gradient norm 0 8.493750e-01 3.147871e-08 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-10, f = 0.849375021681863, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.91e-12 ≰ 0.0e+00 │ |x - x'|/|x'| = 4.04e-12 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 3.07e-08 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 9 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493750e-01 3.094416e-08 * time: 8.821487426757812e-6 ┌ Info: α = 1.0e-11, f = 0.849375021862866, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 3.09e-13 ≰ 0.0e+00 │ |x - x'|/|x'| = 6.54e-13 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 3.09e-08 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 17 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493750e-01 3.092254e-08 * time: 8.106231689453125e-6 ┌ Info: α = 1.0e-12, f = 0.8493750218809663, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.60e-10 ≰ 0.0e+00 │ |x - x'|/|x'| = 3.38e-10 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.55e-14 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 6 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493750e-01 2.866461e-12 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-13, f = 0.8493750218827764, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 0.00e+00 ≤ 0.0e+00 │ |x - x'|/|x'| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 4.36e-11 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 8 │ ∇f(x) calls: 2 └ ) Iter Function value Gradient norm 0 8.493750e-01 4.328952e-11 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-14, f = 0.8493750218829573, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 4.30e-12 ≰ 0.0e+00 │ |x - x'|/|x'| = 9.09e-12 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 6.27e-09 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 4 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 8.493750e-01 6.272682e-09 * time: 1.0967254638671875e-5 ┌ Info: α = 1.0e-15, f = 0.8493750218829754, │ * Status: success │ │ * Candidate solution │ Final objective value: 8.493750e-01 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 5.89e-10 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.24e-09 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 3.17e-15 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 4 │ ∇f(x) calls: 3 └ ) [ Info: Using eps = 1.000000181107467e-8 Iter Function value Gradient norm 0 4.442971e+00 1.497651e+06 * time: 4.696846008300781e-5 100 3.402901e+00 1.212757e+05 * time: 0.007889032363891602 200 3.196417e+00 4.284778e+05 * time: 0.014023065567016602 300 2.969556e+00 1.724599e+05 * time: 0.020205974578857422 400 2.742074e+00 2.312314e+05 * time: 0.026695966720581055 500 2.552020e+00 1.619548e+05 * time: 0.032952070236206055 600 2.330454e+00 4.451995e+04 * time: 0.03929591178894043 700 2.148960e+00 6.492309e+04 * time: 0.045660972595214844 800 1.958330e+00 1.734189e+05 * time: 0.05188894271850586 900 1.720228e+00 5.572439e+04 * time: 0.05815410614013672 1000 1.463533e+00 4.216550e+04 * time: 0.0644071102142334 1100 1.247464e+00 6.682686e+04 * time: 0.07056593894958496 1200 1.049007e+00 1.093446e+05 * time: 0.07668805122375488 1300 8.710963e-01 6.734261e+04 * time: 0.08269000053405762 1400 6.461105e-01 8.172202e+03 * time: 0.08870410919189453 1500 4.716140e-01 2.241326e+03 * time: 0.09480094909667969 ┌ Info: α = 0.001, f = -0.002772994117019856, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772994e-03 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 2.52e-17 ≰ 0.0e+00 │ |x - x'|/|x'| = 5.03e-17 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.84e-08 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 1553 │ f(x) calls: 2489 │ ∇f(x) calls: 1554 └ ) Iter Function value Gradient norm 0 -2.769353e-04 1.798934e-03 * time: 1.0967254638671875e-5 ┌ Info: α = 0.0001, f = -0.0002772629350889336, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772629e-04 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.92e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 3.84e-18 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 9.60e-15 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 8 │ f(x) calls: 22 │ ∇f(x) calls: 9 └ ) Iter Function value Gradient norm 0 -2.772264e-05 1.799893e-04 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-5, f = -2.7725927964452895e-5, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772593e-05 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 2.53e-19 ≰ 0.0e+00 │ |x - x'|/|x'| = 5.06e-19 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 3.18e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 14 │ f(x) calls: 79 │ ∇f(x) calls: 15 └ ) Iter Function value Gradient norm 0 -2.772556e-06 1.795436e-05 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-6, f = -2.7725891351816598e-6, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772589e-06 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 2.46e-17 ≰ 0.0e+00 │ |x - x'|/|x'| = 4.92e-17 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.16e-09 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 7 │ f(x) calls: 35 │ ∇f(x) calls: 8 └ ) Iter Function value Gradient norm 0 -2.772585e-07 1.802161e-06 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-7, f = -2.7725886739210823e-7, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772589e-07 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 5.19e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.04e-17 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 5.64e-09 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 9 │ f(x) calls: 50 │ ∇f(x) calls: 10 └ ) Iter Function value Gradient norm 0 -2.772587e-08 1.856427e-07 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-8, f = -2.772587394944158e-8, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772587e-08 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 3.03e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 6.06e-18 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 1.86e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 38 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -2.772575e-09 2.036427e-07 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-9, f = -2.7725746051749146e-9, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772575e-09 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 8.20e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.64e-17 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.04e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 35 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -2.772447e-10 2.054427e-07 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-10, f = -2.7724467074824777e-10, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.772447e-10 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 9.22e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.84e-17 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.05e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 27 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -2.771168e-11 2.056227e-07 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-11, f = -2.771167730558109e-11, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.771168e-11 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.24e-18 ≰ 0.0e+00 │ |x - x'|/|x'| = 2.48e-18 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.06e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 29 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -2.758378e-12 2.056407e-07 * time: 1.0013580322265625e-5 ┌ Info: α = 1.0e-12, f = -2.7583779613144275e-12, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.758378e-12 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 8.41e-19 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.68e-18 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.06e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 33 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -2.630480e-13 2.056425e-07 * time: 1.0967254638671875e-5 ┌ Info: α = 1.0e-13, f = -2.6304802688776095e-13, │ * Status: success │ │ * Candidate solution │ Final objective value: -2.630480e-13 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 1.95e-19 ≰ 0.0e+00 │ |x - x'|/|x'| = 3.91e-19 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.06e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 33 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 -1.351503e-14 2.056427e-07 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-14, f = -1.351503344509429e-14, │ * Status: success │ │ * Candidate solution │ Final objective value: -1.351503e-14 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 3.74e-21 ≰ 0.0e+00 │ |x - x'|/|x'| = 7.47e-21 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.06e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 39 │ ∇f(x) calls: 3 └ ) Iter Function value Gradient norm 0 1.143827e-14 2.056427e-07 * time: 9.059906005859375e-6 ┌ Info: α = 1.0e-15, f = 1.1438265899172374e-14, │ * Status: success │ │ * Candidate solution │ Final objective value: 1.143827e-14 │ │ * Found with │ Algorithm: BFGS │ │ * Convergence measures │ |x - x'| = 6.01e-21 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.20e-20 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 2.06e-07 ≰ 1.0e-16 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 2 │ f(x) calls: 49 │ ∇f(x) calls: 3 └ ) iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 -8.9790e+00 1.5700e+00 | 5.00e+00 6.68e-01 2.79e-01 | 1.00e+00 1.00e+00 1.00e+00 | 1 -1.5149e+01 -2.8738e+00 | 1.49e+00 6.39e-01 2.67e-01 | 3.14e-01 9.84e-01 3.00e-01 | 1.4e-14 4.6e-01 co-a 7.00e-01 2 -3.1110e+01 -1.9125e+01 | 4.34e-01 4.43e-01 1.85e-01 | 1.36e-01 7.67e-01 8.96e-02 | 4.9e-15 6.8e-01 co-a 7.00e-01 3 -2.6615e+01 -1.9590e+01 | 1.23e-01 2.07e-01 8.66e-02 | 8.71e-02 3.54e-01 2.56e-02 | 1.8e-15 6.6e-01 co-a 7.00e-01 4 -1.8483e+01 -1.4240e+01 | 3.63e-02 9.72e-02 4.07e-02 | 5.57e-02 1.59e-01 7.52e-03 | 2.1e-15 5.2e-01 co-a 7.00e-01 5 -7.1270e+00 -4.7702e+00 | 7.10e-03 3.32e-02 1.39e-02 | 3.26e-02 6.14e-02 1.52e-03 | 1.3e-14 7.1e-01 co-a 8.00e-01 6 -1.3771e+00 -7.6120e-01 | 2.33e-03 1.08e-02 4.52e-03 | 3.01e-02 1.39e-02 4.57e-04 | 4.3e-14 5.6e-01 co-a 7.00e-01 7 5.9256e-01 6.4645e-01 | 2.21e-04 1.08e-03 4.54e-04 | 2.99e-02 1.15e-03 4.25e-05 | 1.8e-15 7.4e-01 co-a 9.00e-01 8 8.2893e-01 8.3435e-01 | 2.26e-05 1.03e-04 4.30e-05 | 3.16e-02 1.25e-04 4.42e-06 | 1.5e-13 5.6e-01 co-a 9.00e-01 9 8.4704e-01 8.4765e-01 | 2.07e-06 1.11e-05 4.65e-06 | 2.92e-02 1.31e-05 4.09e-07 | 2.4e-13 3.1e-01 co-a 9.00e-01 10 8.4926e-01 8.4929e-01 | 9.94e-08 5.82e-07 2.44e-07 | 2.79e-02 6.34e-07 1.95e-08 | 2.7e-12 4.8e-01 co-a 9.50e-01 11 8.4936e-01 8.4937e-01 | 9.18e-09 6.24e-08 2.61e-08 | 2.60e-02 6.70e-08 1.82e-09 | 4.6e-11 2.2e-01 co-a 9.00e-01 12 8.4937e-01 8.4937e-01 | 2.70e-10 1.94e-09 8.10e-10 | 2.52e-02 1.88e-09 5.28e-11 | 3.4e-11 5.2e-01 co-a 9.70e-01 13 8.4937e-01 8.4937e-01 | 2.47e-11 2.00e-10 8.72e-11 | 2.34e-02 1.99e-10 4.90e-12 | 2.3e-09 2.6e-01 co-a 9.00e-01 optimal solution found; terminating status is Optimal after 13 iterations and 38.348 seconds ------------------------------------------------------------------ COSMO v0.8.9 - A Quadratic Objective Conic Solver Michael Garstka University of Oxford, 2017 - 2022 ------------------------------------------------------------------ Problem: x ∈ R^{1}, constraints: A ∈ R^{4x1} (3 nnz), matrix size to factor: 5x5, Floating-point precision: Float64 Sets: DensePsdConeTriangle of dim: 3 (2x2) DensePsdConeTriangle of dim: 1 (1x1) Settings: ϵ_abs = 1.0e-07, ϵ_rel = 1.0e-07, ϵ_prim_inf = 1.0e-04, ϵ_dual_inf = 1.0e-04, ρ = 0.1, σ = 1e-06, α = 1.6, max_iter = 100000, scaling iter = 10 (on), check termination every 25 iter, check infeasibility every 40 iter, KKT system solver: COSMO.QdldlKKTSolver Acc: Anderson Type2{QRDecomp}, Memory size = 5, RestartedMemory, Safeguarded: true, tol: 2.0 Setup Time: 4975.21ms Iter: Objective: Primal Res: Dual Res: Rho: 1 -1.6628e+01 5.0912e+00 2.2214e+01 1.0000e-01 25 -1.8151e+01 2.8640e-11 3.1972e-10 1.0000e-01 ------------------------------------------------------------------ >>> Results Status: Solved Iterations: 25 Optimal objective: -18.15 Runtime: 19.742s (19741.79ms) [ Info: IRKA converged after 2 iterations [ Info: IRKA converged after 8 iterations [ Info: IRKA converged after 8 iterations [ Info: Found a better rom with h2 = 2.1664534451014386 [ Info: IRKA converged after 8 iterations [ Info: Found a better rom with h2 = 2.16645311618452 [ Info: IRKA converged after 7 iterations iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 1.7783e+00 -8.8388e-02 | 7.00e+00 4.60e-01 6.08e-01 | 1.00e+00 1.00e+00 1.00e+00 | 1 3.7043e-01 -1.7408e-02 | 1.44e+00 8.20e-02 1.08e-01 | 1.12e+00 1.38e-01 2.00e-01 | 2.2e-16 6.3e-01 co-a 8.00e-01 2 2.1795e-01 7.5875e-02 | 5.42e-01 3.61e-02 4.77e-02 | 1.02e+00 8.44e-02 7.85e-02 | 1.5e-15 7.9e-01 co-a 6.00e-01 3 2.9726e-01 2.5367e-01 | 1.57e-01 1.50e-02 1.98e-02 | 7.35e-01 3.68e-02 2.30e-02 | 1.2e-14 6.9e-01 co-a 7.00e-01 4 3.5372e-01 3.5048e-01 | 8.02e-03 7.71e-04 1.02e-03 | 7.16e-01 1.12e-03 1.10e-03 | 2.7e-15 6.9e-01 co-a 9.50e-01 5 3.5701e-01 3.5685e-01 | 3.90e-04 3.93e-05 5.19e-05 | 7.03e-01 6.17e-05 5.42e-05 | 4.9e-15 9.3e-01 co-a 9.50e-01 6 3.5706e-01 3.5704e-01 | 5.15e-05 6.53e-06 8.62e-06 | 6.35e-01 1.13e-05 7.34e-06 | 3.0e-13 4.3e-01 co-a 8.50e-01 7 3.5709e-01 3.5709e-01 | 5.17e-06 6.63e-07 8.75e-07 | 6.25e-01 9.71e-07 7.22e-07 | 6.4e-13 4.8e-01 co-a 9.00e-01 8 3.5709e-01 3.5709e-01 | 2.31e-07 3.63e-08 4.79e-08 | 5.71e-01 5.79e-08 3.30e-08 | 1.5e-11 9.4e-01 co-a 9.50e-01 9 3.5709e-01 3.5709e-01 | 3.51e-08 5.61e-09 7.41e-09 | 5.54e-01 6.07e-09 4.80e-09 | 1.4e-10 7.5e-01 co-a 8.50e-01 10 3.5709e-01 3.5709e-01 | 5.54e-09 1.29e-09 1.73e-09 | 4.75e-01 2.10e-09 8.18e-10 | 3.1e-10 4.6e-01 co-a 8.00e-01 optimal solution found; terminating status is Optimal after 10 iterations and 7.017 seconds iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 1.7783e+00 -3.5541e-01 | 5.00e+00 3.02e-01 5.07e-01 | 1.00e+00 1.00e+00 1.00e+00 | 1 5.9139e-01 2.6650e-01 | 7.59e-01 4.43e-02 7.44e-02 | 1.02e+00 1.38e-01 1.50e-01 | 2.6e-16 7.8e-01 co-a 8.50e-01 2 3.9760e-01 3.0137e-01 | 1.95e-01 1.64e-02 2.76e-02 | 8.28e-01 6.13e-02 4.09e-02 | 6.9e-16 6.7e-01 co-a 7.00e-01 3 3.6696e-01 3.4982e-01 | 3.03e-02 2.67e-03 4.49e-03 | 7.63e-01 8.08e-03 6.08e-03 | 7.8e-16 6.7e-01 co-a 8.50e-01 4 3.5855e-01 3.5651e-01 | 3.02e-03 2.84e-04 4.77e-04 | 7.18e-01 6.51e-04 5.82e-04 | 1.6e-15 6.2e-01 co-a 9.00e-01 5 3.5720e-01 3.5699e-01 | 2.70e-04 3.10e-05 5.20e-05 | 6.58e-01 7.59e-05 5.34e-05 | 7.3e-15 3.6e-01 co-a 9.00e-01 6 3.5710e-01 3.5708e-01 | 2.62e-05 3.22e-06 5.41e-06 | 6.33e-01 7.32e-06 5.13e-06 | 2.0e-13 7.4e-01 co-a 9.00e-01 7 3.5709e-01 3.5709e-01 | 2.64e-06 3.39e-07 5.69e-07 | 6.01e-01 4.76e-07 4.87e-07 | 1.9e-12 8.1e-01 co-a 9.00e-01 8 3.5709e-01 3.5709e-01 | 1.92e-07 4.05e-08 6.79e-08 | 5.04e-01 1.06e-07 4.08e-08 | 1.1e-11 6.3e-01 co-a 9.00e-01 9 3.5709e-01 3.5709e-01 | 2.41e-08 3.59e-09 6.03e-09 | 5.68e-01 6.13e-09 4.60e-09 | 1.0e-10 8.2e-01 co-a 9.00e-01 10 3.5709e-01 3.5709e-01 | 4.26e-09 7.85e-10 1.32e-09 | 5.21e-01 1.54e-09 8.44e-10 | 3.2e-10 8.3e-01 co-a 8.00e-01 optimal solution found; terminating status is Optimal after 10 iterations and 3.075 seconds iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 1.7783e+00 -8.8388e-02 | 7.00e+00 4.60e-01 6.08e-01 | 1.00e+00 1.00e+00 1.00e+00 | 1 3.7043e-01 -1.7408e-02 | 1.44e+00 8.20e-02 1.08e-01 | 1.12e+00 1.38e-01 2.00e-01 | 2.2e-16 6.3e-01 co-a 8.00e-01 2 2.1795e-01 7.5875e-02 | 5.42e-01 3.61e-02 4.77e-02 | 1.02e+00 8.44e-02 7.85e-02 | 1.5e-15 7.9e-01 co-a 6.00e-01 3 2.9726e-01 2.5367e-01 | 1.57e-01 1.50e-02 1.98e-02 | 7.35e-01 3.68e-02 2.30e-02 | 1.2e-14 6.9e-01 co-a 7.00e-01 4 3.5372e-01 3.5048e-01 | 8.02e-03 7.71e-04 1.02e-03 | 7.16e-01 1.12e-03 1.10e-03 | 2.7e-15 6.9e-01 co-a 9.50e-01 5 3.5701e-01 3.5685e-01 | 3.90e-04 3.93e-05 5.19e-05 | 7.03e-01 6.17e-05 5.42e-05 | 4.9e-15 9.3e-01 co-a 9.50e-01 6 3.5706e-01 3.5704e-01 | 5.15e-05 6.53e-06 8.62e-06 | 6.35e-01 1.13e-05 7.34e-06 | 3.0e-13 4.3e-01 co-a 8.50e-01 7 3.5709e-01 3.5709e-01 | 5.17e-06 6.63e-07 8.75e-07 | 6.25e-01 9.71e-07 7.22e-07 | 6.4e-13 4.8e-01 co-a 9.00e-01 8 3.5709e-01 3.5709e-01 | 2.31e-07 3.63e-08 4.79e-08 | 5.71e-01 5.79e-08 3.30e-08 | 1.5e-11 9.4e-01 co-a 9.50e-01 9 3.5709e-01 3.5709e-01 | 3.51e-08 5.61e-09 7.41e-09 | 5.54e-01 6.07e-09 4.80e-09 | 1.4e-10 7.5e-01 co-a 8.50e-01 10 3.5709e-01 3.5709e-01 | 5.54e-09 1.29e-09 1.73e-09 | 4.75e-01 2.10e-09 8.18e-10 | 3.1e-10 4.6e-01 co-a 8.00e-01 optimal solution found; terminating status is Optimal after 10 iterations and 0.004 seconds Iter Function value Gradient norm 0 8.101562e+00 1.196875e+01 * time: 0.00011610984802246094 1 4.097375e+00 3.482024e+00 * time: 3.096196174621582 2 2.905439e+00 2.827505e-01 * time: 3.096341133117676 3 2.845646e+00 1.368515e-01 * time: 3.096405029296875 4 2.808431e+00 5.038015e-01 * time: 3.096494197845459 5 2.805354e+00 6.794430e-01 * time: 3.096553087234497 6 2.508427e+00 1.281971e-01 * time: 3.0966460704803467 7 2.503801e+00 1.108591e-01 * time: 3.0966951847076416 8 2.500019e+00 1.802558e-02 * time: 3.0967421531677246 9 2.500000e+00 6.496474e-04 * time: 3.0967910289764404 10 2.500000e+00 9.755644e-07 * time: 3.096834182739258 11 2.500000e+00 1.584157e-10 * time: 3.0968751907348633 12 2.500000e+00 8.881784e-16 * time: 3.0969300270080566 ┌ Info: Optimization result: * Status: success │ │ * Candidate solution │ Final objective value: 2.500000e+00 │ │ * Found with │ Algorithm: L-BFGS │ │ * Convergence measures │ |x - x'| = 1.58e-10 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.58e-10 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 8.88e-16 ≤ 1.0e-12 │ │ * Work counters │ Seconds run: 3 (vs limit Inf) │ Iterations: 12 │ f(x) calls: 37 └ ∇f(x) calls: 37 Iter Function value Gradient norm 0 3.407031e+01 6.190625e+01 * time: 5.1021575927734375e-5 1 7.214904e+00 1.618983e+01 * time: 0.0001480579376220703 2 2.236105e+00 2.447472e+00 * time: 0.000225067138671875 3 1.173097e+00 1.349851e+00 * time: 0.00028204917907714844 4 1.046232e+00 1.700684e+00 * time: 0.00032401084899902344 5 6.067828e-01 1.809678e+00 * time: 0.0003809928894042969 6 1.395675e-01 3.191334e-01 * time: 0.0004379749298095703 7 1.315563e-01 2.130084e-01 * time: 0.0004889965057373047 8 1.275301e-01 1.648107e-02 * time: 0.0005321502685546875 9 1.275130e-01 9.338744e-04 * time: 0.0005850791931152344 10 1.275129e-01 5.328534e-06 * time: 0.0006351470947265625 11 1.275129e-01 8.093325e-10 * time: 0.0006890296936035156 12 1.275129e-01 4.996004e-16 * time: 0.0007550716400146484 ┌ Info: Optimization result: * Status: success │ │ * Candidate solution │ Final objective value: 1.275129e-01 │ │ * Found with │ Algorithm: L-BFGS │ │ * Convergence measures │ |x - x'| = 2.60e-10 ≰ 0.0e+00 │ |x - x'|/|x'| = 2.76e-10 ≰ 0.0e+00 │ |f(x) - f(x')| = 2.78e-17 ≰ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 2.18e-16 ≰ 0.0e+00 │ |g(x)| = 5.00e-16 ≤ 1.0e-12 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 12 │ f(x) calls: 34 └ ∇f(x) calls: 34 Iter Function value Gradient norm 0 8.101562e+00 1.196875e+01 * time: 4.887580871582031e-5 1 4.097375e+00 3.482024e+00 * time: 0.00026297569274902344 2 2.905439e+00 2.827505e-01 * time: 0.00032591819763183594 3 2.845646e+00 1.368515e-01 * time: 0.0003879070281982422 4 2.808431e+00 5.038015e-01 * time: 0.00048279762268066406 5 2.805354e+00 6.794430e-01 * time: 0.0005428791046142578 6 2.508427e+00 1.281971e-01 * time: 0.0006248950958251953 7 2.503801e+00 1.108591e-01 * time: 0.0006649494171142578 8 2.500019e+00 1.802558e-02 * time: 0.0007088184356689453 9 2.500000e+00 6.496474e-04 * time: 0.0007529258728027344 10 2.500000e+00 9.755644e-07 * time: 0.0008008480072021484 11 2.500000e+00 1.584157e-10 * time: 0.00084686279296875 12 2.500000e+00 8.881784e-16 * time: 0.0009038448333740234 ┌ Info: Optimization result: * Status: success │ │ * Candidate solution │ Final objective value: 2.500000e+00 │ │ * Found with │ Algorithm: L-BFGS │ │ * Convergence measures │ |x - x'| = 1.58e-10 ≰ 0.0e+00 │ |x - x'|/|x'| = 1.58e-10 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 8.88e-16 ≤ 1.0e-12 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 12 │ f(x) calls: 37 └ ∇f(x) calls: 37 [ Info: Checking eigvals of Y ... [ Info: Possible stuck in local minimum, performing unconstrained gradient step ... ┌ Warning: The system was not passive after the unconstrained gradient step. Perturbation ΔD = 1.0e-8 was used. │ Consider decreasing α or increasing ε. └ @ PortHamiltonianModelReduction ~/.julia/packages/PortHamiltonianModelReduction/UoPq2/src/passivation.jl:76 Iter Function value Gradient norm 0 2.500000e+00 1.500000e+00 * time: 1.2874603271484375e-5 1 6.987193e-01 1.380273e+00 * time: 0.000125885009765625 2 1.450800e-01 6.604913e-01 * time: 0.0001800060272216797 3 1.341649e-01 1.770500e-01 * time: 0.00023698806762695312 4 1.284732e-01 9.971572e-02 * time: 0.00029397010803222656 5 1.275390e-01 2.671713e-02 * time: 0.00034499168395996094 6 1.275130e-01 1.964163e-04 * time: 0.000392913818359375 7 1.275129e-01 8.677650e-07 * time: 0.00045800209045410156 8 1.275129e-01 1.087147e-11 * time: 0.000514984130859375 9 1.275129e-01 6.106227e-16 * time: 0.0005810260772705078 ┌ Info: Optimization result: * Status: success │ │ * Candidate solution │ Final objective value: 1.275129e-01 │ │ * Found with │ Algorithm: L-BFGS │ │ * Convergence measures │ |x - x'| = 7.51e-12 ≰ 0.0e+00 │ |x - x'|/|x'| = 7.97e-12 ≰ 0.0e+00 │ |f(x) - f(x')| = 0.00e+00 ≤ 0.0e+00 │ |f(x) - f(x')|/|f(x')| = 0.00e+00 ≤ 0.0e+00 │ |g(x)| = 6.11e-16 ≤ 1.0e-12 │ │ * Work counters │ Seconds run: 0 (vs limit Inf) │ Iterations: 9 │ f(x) calls: 26 └ ∇f(x) calls: 26 [ Info: Checking eigvals of Y ... [ Info: Global minimum detected, no restart needed. iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 3.0244e+00 0.0000e+00 | 7.00e+00 4.20e-01 2.60e-02 | 1.00e+00 1.00e+00 1.00e+00 | 1 4.7516e-01 -1.9618e-01 | 1.41e+00 9.64e-02 5.96e-03 | 8.72e-01 2.20e-01 2.00e-01 | 8.9e-16 6.3e-01 co-a 8.00e-01 2 1.0775e-01 -2.2721e-02 | 2.82e-01 1.88e-02 1.16e-03 | 8.95e-01 4.42e-02 4.02e-02 | 1.9e-15 6.4e-01 co-a 8.00e-01 3 2.8452e-02 8.3845e-03 | 4.23e-02 2.76e-03 1.71e-04 | 9.13e-01 5.82e-03 5.95e-03 | 3.1e-15 8.1e-01 co-a 8.50e-01 4 3.7289e-03 -3.6341e-04 | 6.88e-03 6.64e-04 4.10e-05 | 7.60e-01 1.72e-03 1.02e-03 | 2.2e-14 8.6e-01 co-a 8.00e-01 5 9.6389e-04 2.1828e-04 | 1.12e-03 9.78e-05 6.04e-06 | 7.74e-01 1.48e-04 1.55e-04 | 2.3e-13 6.4e-01 co-a 8.50e-01 6 8.0582e-05 4.8156e-06 | 9.89e-05 1.10e-05 6.78e-07 | 6.89e-01 2.02e-05 1.41e-05 | 3.6e-13 9.1e-01 co-a 9.00e-01 7 1.7566e-05 4.3951e-06 | 1.52e-05 1.69e-06 1.04e-07 | 6.73e-01 2.00e-06 2.06e-06 | 6.6e-12 7.7e-01 co-a 8.50e-01 8 2.3243e-06 -1.9867e-07 | 2.54e-06 3.88e-07 2.40e-08 | 5.85e-01 6.97e-07 3.68e-07 | 2.6e-11 8.7e-01 co-a 8.00e-01 9 5.7909e-07 1.3459e-07 | 4.00e-07 5.81e-08 3.59e-09 | 5.87e-01 6.53e-08 5.48e-08 | 1.5e-10 6.6e-01 co-a 8.50e-01 10 6.7360e-08 1.9904e-09 | 5.31e-08 9.62e-09 5.94e-10 | 5.31e-01 1.42e-08 7.57e-09 | 2.3e-11 8.1e-01 co-a 8.50e-01 11 2.0321e-08 1.3754e-08 | 7.51e-09 5.55e-09 6.92e-11 | 4.56e-01 1.90e-09 1.05e-09 | 1.0e-08 5.7e-01 co-a 9.00e-01 optimal solution found; terminating status is Optimal after 11 iterations and 0.005 seconds iter p_obj d_obj | abs_gap x_feas z_feas | tau kap mu | dir_res prox step alpha 0 3.0244e+00 0.0000e+00 | 5.00e+00 4.20e-01 1.58e-02 | 1.00e+00 1.00e+00 1.00e+00 | 1 3.9470e-01 -1.0241e-01 | 7.37e-01 7.79e-02 2.93e-03 | 8.09e-01 2.01e-01 1.50e-01 | 1.4e-16 6.0e-01 co-a 8.50e-01 2 9.6961e-02 2.3573e-02 | 1.18e-01 1.07e-02 4.01e-04 | 8.85e-01 2.56e-02 2.35e-02 | 1.2e-15 7.0e-01 co-a 8.50e-01 3 9.3335e-03 -2.1022e-03 | 1.58e-02 1.72e-03 6.44e-05 | 8.27e-01 4.13e-03 3.19e-03 | 1.8e-15 8.4e-01 co-a 8.50e-01 4 1.5892e-03 4.5407e-04 | 1.51e-03 1.70e-04 6.38e-06 | 8.35e-01 4.10e-04 3.09e-04 | 1.3e-13 9.6e-01 co-a 9.00e-01 5 3.8588e-04 3.6210e-06 | 3.95e-04 5.82e-05 2.18e-06 | 7.31e-01 1.28e-04 8.14e-05 | 3.1e-13 8.9e-01 co-a 7.00e-01 6 4.8886e-05 6.0157e-06 | 3.93e-05 6.07e-06 2.28e-07 | 7.01e-01 1.07e-05 7.79e-06 | 2.9e-12 7.3e-01 co-a 9.00e-01 7 7.8403e-06 9.9144e-07 | 5.55e-06 9.67e-07 3.63e-08 | 6.60e-01 1.59e-06 1.10e-06 | 8.6e-12 9.2e-01 co-a 8.50e-01 8 1.5651e-06 1.2035e-07 | 1.00e-06 2.11e-07 7.91e-09 | 6.06e-01 3.47e-07 2.02e-07 | 4.6e-11 8.2e-01 co-a 8.00e-01 9 2.6148e-07 2.7664e-08 | 1.43e-07 3.35e-08 1.26e-09 | 5.72e-01 4.96e-08 2.86e-08 | 1.2e-10 7.4e-01 co-a 8.50e-01 10 4.3867e-08 6.1794e-09 | 2.08e-08 5.26e-09 1.97e-10 | 5.46e-01 6.92e-09 4.09e-09 | 1.6e-11 8.8e-01 co-a 8.50e-01 11 7.4882e-09 -4.3386e-10 | 3.48e-09 1.35e-09 4.17e-11 | 5.17e-01 1.41e-09 7.01e-10 | 9.2e-10 9.8e-01 co-a 8.00e-01 optimal solution found; terminating status is Optimal after 11 iterations and 0.004 seconds [ Info: pHIRKA converged after 3 iterations [ Info: pHIRKA converged after 4 iterations [ Info: pHIRKA converged after 4 iterations [ Info: pHIRKA converged after 4 iterations Test Summary: | Pass Total Time PortHamiltonianModelReduction.jl | 99 99 17m56.0s Testing PortHamiltonianModelReduction tests passed Testing completed after 1150.33s PkgEval succeeded after 2489.84s