Package evaluation of NonconvexJuniper on Julia 1.11.5 (32ac370b68*) started at 2025-06-29T20:04:41.027 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 8.78s ################################################################################ # Installation # Installing NonconvexJuniper... Resolving package versions... Updating `~/.julia/environments/v1.11/Project.toml` [611adb69] + NonconvexJuniper v0.3.1 Updating `~/.julia/environments/v1.11/Manifest.toml` [47edcb42] + ADTypes v1.15.0 ⌅ [c29ec348] + AbstractDifferentiation v0.4.4 [621f4979] + AbstractFFTs v1.5.0 [1520ce14] + AbstractTrees v0.4.5 [7d9f7c33] + Accessors v0.1.42 [79e6a3ab] + Adapt v4.3.0 [66dad0bd] + AliasTables v1.1.3 [ec485272] + ArnoldiMethod v0.4.0 [4fba245c] + ArrayInterface v7.19.0 [a9b6321e] + Atomix v1.1.1 [6e4b80f9] + BenchmarkTools v1.6.0 ⌅ [e2ed5e7c] + Bijections v0.1.10 [fa961155] + CEnum v0.5.0 [96374032] + CRlibm v1.0.2 [082447d4] + ChainRules v1.72.5 [d360d2e6] + ChainRulesCore v1.25.2 [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 v4.16.0 [b152e2b5] + CompositeTypes v0.1.4 [a33af91c] + CompositionsBase v0.1.2 ⌅ [187b0558] + ConstructionBase v1.5.6 [a8cc5b0e] + Crayons v4.1.1 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.22 [e2d170a0] + DataValueInterfaces v1.0.0 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [c78775a3] + DifferentiableFlatten v0.1.1 [31c24e10] + Distributions v0.25.120 [ffbed154] + DocStringExtensions v0.9.5 [5b8099bc] + DomainSets v0.7.15 ⌅ [7c1d4256] + DynamicPolynomials v0.5.7 [4e289a0a] + EnumX v1.0.5 [90fa49ef] + ErrorfreeArithmetic v0.5.2 [e2ba6199] + ExprTools v0.1.10 [55351af7] + ExproniconLite v0.10.14 [9aa1b823] + FastClosures v0.3.2 [fa42c844] + FastRounding v0.3.1 [1a297f60] + FillArrays v1.13.0 [6a86dc24] + FiniteDiff v2.27.0 [1fa38f19] + Format v1.3.7 ⌅ [f6369f11] + ForwardDiff v0.10.38 [069b7b12] + FunctionWrappers v1.1.3 [77dc65aa] + FunctionWrappersWrappers v0.1.3 [0c68f7d7] + GPUArrays v11.2.3 [46192b85] + GPUArraysCore v0.2.0 [86223c79] + Graphs v1.13.0 [076d061b] + HashArrayMappedTries v0.2.0 [34004b35] + HypergeometricFunctions v0.3.28 [7869d1d1] + IRTools v0.4.15 [615f187c] + IfElse v0.1.1 [d25df0c9] + Inflate v0.1.5 ⌅ [d1acc4aa] + IntervalArithmetic v0.20.9 [8197267c] + IntervalSets v0.7.11 [3587e190] + InverseFunctions v0.1.17 [b6b21f68] + Ipopt v1.10.6 [92d709cd] + IrrationalConstants v0.2.4 [42fd0dbc] + IterativeSolvers v0.9.4 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.0 [682c06a0] + JSON v0.21.4 [0f8b85d8] + JSON3 v1.14.3 [ae98c720] + Jieko v0.2.1 [4076af6c] + JuMP v1.26.0 [2ddba703] + Juniper v0.9.3 [63c18a36] + KernelAbstractions v0.9.35 [929cbde3] + LLVM v9.4.2 [b964fa9f] + LaTeXStrings v1.4.0 [2ee39098] + LabelledArrays v1.16.1 ⌅ [984bce1d] + LambertW v0.4.6 [23fbe1c1] + Latexify v0.16.8 [7a12625a] + LinearMaps v3.11.4 [5c8ed15e] + LinearOperators v2.10.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.16 [b8f27783] + MathOptInterface v1.41.0 [e1d29d7a] + Missings v1.2.0 [2e0e35c7] + Moshi v0.3.6 [102ac46a] + MultivariatePolynomials v0.5.9 [d8a4904e] + MutableArithmetics v1.6.4 [a4795742] + NLPModels v0.21.5 [77ba4419] + NaNMath v1.1.3 [d9ec5142] + NamedTupleTools v0.14.3 [035190e5] + NonconvexCore v1.4.3 [bf347577] + NonconvexIpopt v0.4.3 [611adb69] + NonconvexJuniper v0.3.1 [c48e48a2] + NonconvexUtils v0.4.3 [bac558e1] + OrderedCollections v1.8.1 [90014a1f] + PDMats v0.11.35 [65ce6f38] + PackageExtensionCompat v1.0.2 [d96e819e] + Parameters v0.12.3 [69de0a69] + Parsers v2.8.3 [d236fae5] + PreallocationTools v0.4.27 ⌅ [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [08abe8d2] + PrettyTables v2.4.0 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [c1ae055f] + RealDot v0.1.0 [3cdcf5f2] + RecipesBase v1.3.4 [731186ca] + RecursiveArrayTools v3.33.0 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [79098fc4] + Rmath v0.8.0 [5eaf0fd0] + RoundingEmulator v0.2.1 [7e49a35a] + RuntimeGeneratedFunctions v0.5.15 ⌃ [0bca4576] + SciMLBase v2.87.0 ⌅ [c0aeaf25] + SciMLOperators v0.3.13 [53ae85a6] + SciMLStructures v1.7.0 [7e506255] + ScopedValues v1.3.0 [3cc68bcd] + SetRounding v0.2.1 [efcf1570] + Setfield v1.1.2 [699a6c99] + SimpleTraits v0.9.4 [ff4d7338] + SolverCore v0.3.8 [a2af1166] + SortingAlgorithms v1.2.1 ⌃ [47a9eef4] + SparseDiffTools v2.23.1 [dc90abb0] + SparseInverseSubset v0.1.2 [276daf66] + SpecialFunctions v2.5.1 [aedffcd0] + Static v1.2.0 [0d7ed370] + StaticArrayInterface v1.8.0 [90137ffa] + StaticArrays v1.9.13 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.1 [2913bbd2] + StatsBase v0.34.5 [4c63d2b9] + StatsFuns v1.5.0 [892a3eda] + StringManipulation v0.4.1 [09ab397b] + StructArrays v0.7.1 [856f2bd8] + StructTypes v1.11.0 [2efcf032] + SymbolicIndexingInterface v0.3.41 ⌃ [19f23fe9] + SymbolicLimits v0.2.1 ⌅ [d1185830] + SymbolicUtils v2.1.3 ⌅ [0c5d862f] + Symbolics v5.36.0 [3783bdb8] + TableTraits v1.0.1 [bd369af6] + Tables v1.12.1 ⌅ [8ea1fca8] + TermInterface v0.4.1 [a759f4b9] + TimerOutputs v0.5.29 [3bb67fe8] + TranscodingStreams v0.11.3 [3a884ed6] + UnPack v1.0.2 [a7c27f48] + Unityper v0.1.6 [013be700] + UnsafeAtomics v0.3.0 [19fa3120] + VertexSafeGraphs v0.2.0 ⌅ [e88e6eb3] + Zygote v0.6.77 [700de1a5] + ZygoteRules v0.2.7 [ae81ac8f] + ASL_jll v0.1.3+0 [6e34b625] + Bzip2_jll v1.0.9+0 [4e9b3aee] + CRlibm_jll v1.0.1+0 [e33a78d0] + Hwloc_jll v2.12.1+0 [9cc047cb] + Ipopt_jll v300.1400.1701+0 [dad2f222] + LLVMExtra_jll v0.0.37+2 [d00139f3] + METIS_jll v5.1.3+0 [d7ed1dd3] + MUMPS_seq_jll v500.800.0+0 [656ef2d0] + OpenBLAS32_jll v0.3.29+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [f50d1b31] + Rmath_jll v0.5.1+0 [319450e9] + SPRAL_jll v2025.5.20+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 v1.6.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile 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 v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.5+0 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+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` Installation completed after 8.52s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 27.99s ################################################################################ # Testing # Testing NonconvexJuniper Status `/tmp/jl_pjRxYP/Project.toml` [b6b21f68] Ipopt v1.10.6 [4076af6c] JuMP v1.26.0 [2ddba703] Juniper v0.9.3 [b8f27783] MathOptInterface v1.41.0 [035190e5] NonconvexCore v1.4.3 [bf347577] NonconvexIpopt v0.4.3 [611adb69] NonconvexJuniper v0.3.1 [d96e819e] Parameters v0.12.3 [189a3867] Reexport v1.2.2 ⌅ [e88e6eb3] Zygote v0.6.77 [37e2e46d] LinearAlgebra v1.11.0 [2f01184e] SparseArrays v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_pjRxYP/Manifest.toml` [47edcb42] ADTypes v1.15.0 ⌅ [c29ec348] AbstractDifferentiation v0.4.4 [621f4979] AbstractFFTs v1.5.0 [1520ce14] AbstractTrees v0.4.5 [7d9f7c33] Accessors v0.1.42 [79e6a3ab] Adapt v4.3.0 [66dad0bd] AliasTables v1.1.3 [ec485272] ArnoldiMethod v0.4.0 [4fba245c] ArrayInterface v7.19.0 [a9b6321e] Atomix v1.1.1 [6e4b80f9] BenchmarkTools v1.6.0 ⌅ [e2ed5e7c] Bijections v0.1.10 [fa961155] CEnum v0.5.0 [96374032] CRlibm v1.0.2 [082447d4] ChainRules v1.72.5 [d360d2e6] ChainRulesCore v1.25.2 [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 v4.16.0 [b152e2b5] CompositeTypes v0.1.4 [a33af91c] CompositionsBase v0.1.2 ⌅ [187b0558] ConstructionBase v1.5.6 [a8cc5b0e] Crayons v4.1.1 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.18.22 [e2d170a0] DataValueInterfaces v1.0.0 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [c78775a3] DifferentiableFlatten v0.1.1 [31c24e10] Distributions v0.25.120 [ffbed154] DocStringExtensions v0.9.5 [5b8099bc] DomainSets v0.7.15 ⌅ [7c1d4256] DynamicPolynomials v0.5.7 [4e289a0a] EnumX v1.0.5 [90fa49ef] ErrorfreeArithmetic v0.5.2 [e2ba6199] ExprTools v0.1.10 [55351af7] ExproniconLite v0.10.14 [9aa1b823] FastClosures v0.3.2 [fa42c844] FastRounding v0.3.1 [1a297f60] FillArrays v1.13.0 [6a86dc24] FiniteDiff v2.27.0 [1fa38f19] Format v1.3.7 ⌅ [f6369f11] ForwardDiff v0.10.38 [069b7b12] FunctionWrappers v1.1.3 [77dc65aa] FunctionWrappersWrappers v0.1.3 [0c68f7d7] GPUArrays v11.2.3 [46192b85] GPUArraysCore v0.2.0 [86223c79] Graphs v1.13.0 [076d061b] HashArrayMappedTries v0.2.0 [34004b35] HypergeometricFunctions v0.3.28 [7869d1d1] IRTools v0.4.15 [615f187c] IfElse v0.1.1 [d25df0c9] Inflate v0.1.5 ⌅ [d1acc4aa] IntervalArithmetic v0.20.9 [8197267c] IntervalSets v0.7.11 [3587e190] InverseFunctions v0.1.17 [b6b21f68] Ipopt v1.10.6 [92d709cd] IrrationalConstants v0.2.4 [42fd0dbc] IterativeSolvers v0.9.4 [82899510] IteratorInterfaceExtensions v1.0.0 [692b3bcd] JLLWrappers v1.7.0 [682c06a0] JSON v0.21.4 [0f8b85d8] JSON3 v1.14.3 [ae98c720] Jieko v0.2.1 [4076af6c] JuMP v1.26.0 [2ddba703] Juniper v0.9.3 [63c18a36] KernelAbstractions v0.9.35 [929cbde3] LLVM v9.4.2 [b964fa9f] LaTeXStrings v1.4.0 [2ee39098] LabelledArrays v1.16.1 ⌅ [984bce1d] LambertW v0.4.6 [23fbe1c1] Latexify v0.16.8 [7a12625a] LinearMaps v3.11.4 [5c8ed15e] LinearOperators v2.10.0 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [b8f27783] MathOptInterface v1.41.0 [e1d29d7a] Missings v1.2.0 [2e0e35c7] Moshi v0.3.6 [102ac46a] MultivariatePolynomials v0.5.9 [d8a4904e] MutableArithmetics v1.6.4 [a4795742] NLPModels v0.21.5 [77ba4419] NaNMath v1.1.3 [d9ec5142] NamedTupleTools v0.14.3 [035190e5] NonconvexCore v1.4.3 [bf347577] NonconvexIpopt v0.4.3 [611adb69] NonconvexJuniper v0.3.1 [c48e48a2] NonconvexUtils v0.4.3 [bac558e1] OrderedCollections v1.8.1 [90014a1f] PDMats v0.11.35 [65ce6f38] PackageExtensionCompat v1.0.2 [d96e819e] Parameters v0.12.3 [69de0a69] Parsers v2.8.3 [d236fae5] PreallocationTools v0.4.27 ⌅ [aea7be01] PrecompileTools v1.2.1 [21216c6a] Preferences v1.4.3 [08abe8d2] PrettyTables v2.4.0 [43287f4e] PtrArrays v1.3.0 [1fd47b50] QuadGK v2.11.2 [c1ae055f] RealDot v0.1.0 [3cdcf5f2] RecipesBase v1.3.4 [731186ca] RecursiveArrayTools v3.33.0 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [79098fc4] Rmath v0.8.0 [5eaf0fd0] RoundingEmulator v0.2.1 [7e49a35a] RuntimeGeneratedFunctions v0.5.15 ⌃ [0bca4576] SciMLBase v2.87.0 ⌅ [c0aeaf25] SciMLOperators v0.3.13 [53ae85a6] SciMLStructures v1.7.0 [7e506255] ScopedValues v1.3.0 [3cc68bcd] SetRounding v0.2.1 [efcf1570] Setfield v1.1.2 [699a6c99] SimpleTraits v0.9.4 [ff4d7338] SolverCore v0.3.8 [a2af1166] SortingAlgorithms v1.2.1 ⌃ [47a9eef4] SparseDiffTools v2.23.1 [dc90abb0] SparseInverseSubset v0.1.2 [276daf66] SpecialFunctions v2.5.1 [aedffcd0] Static v1.2.0 [0d7ed370] StaticArrayInterface v1.8.0 [90137ffa] StaticArrays v1.9.13 [1e83bf80] StaticArraysCore v1.4.3 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.7.1 [2913bbd2] StatsBase v0.34.5 [4c63d2b9] StatsFuns v1.5.0 [892a3eda] StringManipulation v0.4.1 [09ab397b] StructArrays v0.7.1 [856f2bd8] StructTypes v1.11.0 [2efcf032] SymbolicIndexingInterface v0.3.41 ⌃ [19f23fe9] SymbolicLimits v0.2.1 ⌅ [d1185830] SymbolicUtils v2.1.3 ⌅ [0c5d862f] Symbolics v5.36.0 [3783bdb8] TableTraits v1.0.1 [bd369af6] Tables v1.12.1 ⌅ [8ea1fca8] TermInterface v0.4.1 [a759f4b9] TimerOutputs v0.5.29 [3bb67fe8] TranscodingStreams v0.11.3 [3a884ed6] UnPack v1.0.2 [a7c27f48] Unityper v0.1.6 [013be700] UnsafeAtomics v0.3.0 [19fa3120] VertexSafeGraphs v0.2.0 ⌅ [e88e6eb3] Zygote v0.6.77 [700de1a5] ZygoteRules v0.2.7 [ae81ac8f] ASL_jll v0.1.3+0 [6e34b625] Bzip2_jll v1.0.9+0 [4e9b3aee] CRlibm_jll v1.0.1+0 [e33a78d0] Hwloc_jll v2.12.1+0 [9cc047cb] Ipopt_jll v300.1400.1701+0 [dad2f222] LLVMExtra_jll v0.0.37+2 [d00139f3] METIS_jll v5.1.3+0 [d7ed1dd3] MUMPS_seq_jll v500.800.0+0 [656ef2d0] OpenBLAS32_jll v0.3.29+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [f50d1b31] Rmath_jll v0.5.1+0 [319450e9] SPRAL_jll v2025.5.20+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 v1.6.0 [7b1f6079] FileWatching v1.11.0 [9fa8497b] Future v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.11.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.2.0 [44cfe95a] Pkg v1.11.0 [de0858da] Printf v1.11.0 [9abbd945] Profile 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 v1.11.0 [4607b0f0] SuiteSparse [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] LibCURL_jll v8.6.0+0 [e37daf67] LibGit2_jll v1.7.2+0 [29816b5a] LibSSH2_jll v1.11.0+1 [c8ffd9c3] MbedTLS_jll v2.28.6+0 [14a3606d] MozillaCACerts_jll v2023.12.12 [4536629a] OpenBLAS_jll v0.3.27+1 [05823500] OpenLibm_jll v0.8.5+0 [bea87d4a] SuiteSparse_jll v7.7.0+0 [83775a58] Zlib_jll v1.2.13+1 [8e850b90] libblastrampoline_jll v5.11.0+0 [8e850ede] nghttp2_jll v1.59.0+0 [3f19e933] p7zip_jll v17.4.0+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... nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min ****************************************************************************** This program contains Ipopt, a library for large-scale nonlinear optimization. Ipopt is released as open source code under the Eclipse Public License (EPL). For more information visit https://github.com/coin-or/Ipopt ****************************************************************************** This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 7.553 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310447862308 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 33.469419956207275 Relaxation Obj: 0.5443310447862308 Obj: 0.5443310447862308 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 5.58e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.1501508e+00 5.11e+00 1.10e+01 -0.6 1.27e+01 - 1.57e-01 5.96e-01h 1 2 3.1621566e+00 5.03e+00 6.09e+01 -1.1 4.91e+00 - 1.00e+00 1.54e-02h 1 3 3.1622761e+00 5.03e+00 3.27e+04 0.3 4.72e+00 - 1.00e+00 2.34e-03h 1 4 3.1622777e+00 5.03e+00 1.36e+09 -1.0 4.62e+00 - 1.00e+00 2.39e-05h 1 5r 3.1622777e+00 5.03e+00 1.00e+03 0.7 0.00e+00 - 0.00e+00 1.19e-07R 2 6r 3.1622693e+00 5.03e+00 3.16e-05 -1.3 4.98e-03 - 1.00e+00 1.00e+00f 1 7r 3.1622776e+00 5.03e+00 4.23e-07 -7.3 1.32e-04 - 9.93e-01 9.93e-01f 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 3.1622776759763256e+00 3.1622776759763256e+00 Dual infeasibility......: 1.5811388219060518e-01 1.5811388219060518e-01 Constraint violation....: 5.0326471220217686e+00 5.0326471220217686e+00 Variable bound violation: 9.9978231915542892e-08 9.9978231915542892e-08 Complementarity.........: 2.1767476710005451e-08 2.1767476710005451e-08 Overall NLP error.......: 5.0326471220217686e+00 5.0326471220217686e+00 Number of objective function evaluations = 11 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 10 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.015 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.018 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.05240797996520996 Relaxation Obj: 0.5443310447862308 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.04e-01 3.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0790174e+00 0.00e+00 4.90e-01 -0.7 8.68e-01 - 3.10e-01 1.00e+00f 1 2 1.0664329e+00 0.00e+00 4.33e-03 -5.8 2.70e-02 - 9.87e-01 1.00e+00f 1 3 1.0148819e+00 0.00e+00 4.30e-02 -7.5 1.07e-01 - 9.78e-01 1.00e+00f 1 4 1.0001499e+00 0.00e+00 1.49e-02 -4.6 3.75e-02 - 1.00e+00 7.92e-01f 1 5 1.0000015e+00 0.00e+00 1.34e-04 -6.4 3.28e-04 - 1.00e+00 9.04e-01f 1 6 1.0000000e+00 0.00e+00 1.25e-06 -8.3 2.99e-06 - 1.00e+00 1.00e+00f 1 7 1.0000000e+00 0.00e+00 3.62e-09 -11.0 8.70e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 9.9999999500996750e-01 9.9999999500996750e-01 Dual infeasibility......: 3.6231452837931499e-09 3.6231452837931499e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000048221461369e-11 1.0000048221461369e-11 Overall NLP error.......: 3.6231452837931499e-09 3.6231452837931499e-09 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.95e+00 9.98e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 5.4581230e-01 7.70e+00 2.61e+01 -5.5 3.22e-01 - 8.41e-01 3.07e-02h 1 2 2.8443012e+00 1.54e-04 1.56e+01 -0.9 7.79e+00 - 1.00e+00 1.00e+00h 1 3 2.8445650e+00 0.00e+00 1.46e-03 -1.8 1.50e-03 - 1.00e+00 1.00e+00f 1 4 2.8367611e+00 0.00e+00 8.64e-02 -7.8 4.43e-02 - 9.68e-01 1.00e+00f 1 5 2.8285054e+00 2.23e-05 1.47e-01 -5.1 5.97e-02 - 1.00e+00 7.84e-01h 1 6 2.8284393e+00 0.00e+00 3.09e-01 -4.8 4.65e-04 - 1.00e+00 8.04e-01h 1 7 2.8284274e+00 0.00e+00 1.25e-06 -6.8 8.48e-05 - 1.00e+00 9.98e-01h 1 8 2.8284271e+00 0.00e+00 2.01e-08 -11.0 1.75e-06 - 1.00e+00 1.00e+00h 1 9 2.8284271e+00 0.00e+00 1.45e-13 -11.0 8.53e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 2.8284270805720162e+00 2.8284270805720162e+00 Dual infeasibility......: 1.4516166046973922e-13 1.4516166046973922e-13 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9976430467663135e-09 9.9976430467663135e-09 Complementarity.........: 1.0000000169848391e-11 1.0000000169848391e-11 Overall NLP error.......: 1.0000000169848391e-11 1.0000000169848391e-11 Number of objective function evaluations = 10 Number of objective gradient evaluations = 10 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 10 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 10 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 8.3 0 - #branches: 1 Obj: 0.9999999950099675 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.95e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.23e+00 4.69e-02 -5.5 3.47e-01 - 9.52e-01 1.00e+00h 1 2 1.5313393e+00 5.44e-01 7.99e-02 -2.5 1.74e-01 - 9.96e-01 1.00e+00h 1 3 1.5313393e+00 0.00e+00 1.92e-02 -4.0 4.95e-02 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 3.17e-04 -4.9 4.27e-03 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 1.26e-08 -10.8 2.82e-05 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 3.90e-13 -11.0 6.85e-04 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 3.8993788847455310e-13 3.8993788847455310e-13 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.1152059506788248e-11 1.1152059506788248e-11 Overall NLP error.......: 1.1152059506788248e-11 1.1152059506788248e-11 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.014 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.020 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.041712045669555664 Relaxation Obj: 0.5443310447862308 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 3.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.41e+01 -5.6 3.67e-01 - 9.85e-01 2.70e-02h 1 2 0.0000000e+00 2.96e-01 6.10e+03 -1.5 8.56e-01 - 1.00e+00 5.82e-03h 1 3 0.0000000e+00 2.96e-01 8.69e+07 0.8 7.04e-01 - 1.00e+00 7.06e-05h 1 4r 0.0000000e+00 2.96e-01 1.00e+03 2.9 0.00e+00 - 0.00e+00 4.34e-07R 2 5r 0.0000000e+00 4.06e-01 2.95e+02 0.5 9.32e-01 - 1.00e+00 8.27e-01f 1 6r 0.0000000e+00 3.65e-01 2.23e+02 0.8 1.53e-01 - 1.00e+00 6.71e-01f 1 7r 0.0000000e+00 4.07e-01 1.39e+02 0.5 4.70e-02 - 9.97e-01 1.00e+00h 1 8r 0.0000000e+00 4.03e-01 5.52e-01 -0.5 6.08e-03 - 9.99e-01 1.00e+00f 1 9r 0.0000000e+00 4.03e-01 1.32e-02 -2.7 4.24e-04 - 9.97e-01 9.96e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 1.24e-03 -8.5 1.08e-05 - 9.98e-01 9.98e-01f 1 11r 0.0000000e+00 4.03e-01 6.63e-07 -9.0 3.45e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.2810718293668142e-06 2.2810718293668142e-06 Constraint violation....: 4.0324947972274006e-01 4.0324947972274006e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000000018333e-09 1.0000000000018333e-09 Overall NLP error.......: 4.0324947972274006e-01 4.0324947972274006e-01 Number of objective function evaluations = 15 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 15 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 14 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.026 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 6.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0025995e+00 0.00e+00 1.10e-02 -5.5 5.52e-03 - 9.89e-01 1.00e+00f 1 2 1.0000260e+00 0.00e+00 2.73e-03 -7.4 5.42e-03 - 9.89e-01 9.74e-01f 1 3 1.0000030e+00 0.00e+00 2.34e-05 -5.5 5.52e-05 - 1.00e+00 1.00e+00h 1 4 1.0000000e+00 0.00e+00 3.12e-06 -11.0 5.97e-06 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 6.06e-11 -11.0 1.47e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999500999903e-01 9.9999999500999903e-01 Dual infeasibility......: 6.0585177246821139e-11 6.0585177246821139e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9800018249496247e-09 9.9800018249496247e-09 Complementarity.........: 1.0000000020444421e-11 1.0000000020444421e-11 Overall NLP error.......: 6.0585177246821139e-11 6.0585177246821139e-11 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.008 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.999999995009999 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 2.6870743e-01 5.02e+00 4.02e+00 -5.4 2.60e+00 - 7.44e-01 8.97e-01h 1 2 2.6216141e-01 1.34e+00 6.02e-01 -1.3 2.99e-01 - 9.83e-01 1.00e+00h 1 3 4.9214002e-01 2.23e-01 1.98e+00 -1.0 1.73e-01 - 5.88e-01 1.00e+00h 1 4 5.3865580e-01 2.28e-02 1.37e-01 -1.7 1.40e-01 - 1.00e+00 9.90e-01h 1 5 5.4457981e-01 9.04e-05 5.22e-03 -3.2 6.81e-03 - 9.99e-01 9.84e-01h 1 6 5.4433082e-01 8.97e-07 1.06e-03 -5.1 1.72e-03 - 1.00e+00 9.87e-01h 1 7 5.4433106e-01 6.05e-09 6.93e-09 -7.3 8.87e-06 - 1.00e+00 9.96e-01h 1 8 5.4433104e-01 0.00e+00 8.26e-11 -11.0 1.05e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 5.4433104480404437e-01 5.4433104480404437e-01 Dual infeasibility......: 8.2561679715098535e-11 8.2561679715098535e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 4.3650080888523034e-11 4.3650080888523034e-11 Overall NLP error.......: 8.2561679715098535e-11 8.2561679715098535e-11 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 9 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 9 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.406 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310448040444 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 2.6870743e-01 5.02e+00 4.02e+00 -5.4 2.60e+00 - 7.44e-01 8.97e-01h 1 2 2.6216141e-01 1.34e+00 6.02e-01 -1.3 2.99e-01 - 9.83e-01 1.00e+00h 1 3 4.9214002e-01 2.23e-01 1.98e+00 -1.0 1.73e-01 - 5.88e-01 1.00e+00h 1 4 5.3865580e-01 2.28e-02 1.37e-01 -1.7 1.40e-01 - 1.00e+00 9.90e-01h 1 5 5.4457981e-01 9.04e-05 5.22e-03 -3.2 6.81e-03 - 9.99e-01 9.84e-01h 1 6 5.4433082e-01 8.97e-07 1.06e-03 -5.1 1.72e-03 - 1.00e+00 9.87e-01h 1 7 5.4433106e-01 6.05e-09 6.93e-09 -7.3 8.87e-06 - 1.00e+00 9.96e-01h 1 8 5.4433104e-01 0.00e+00 8.26e-11 -11.0 1.05e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 5.4433104480404437e-01 5.4433104480404437e-01 Dual infeasibility......: 8.2561679715098535e-11 8.2561679715098535e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 4.3650080888523034e-11 4.3650080888523034e-11 Overall NLP error.......: 8.2561679715098535e-11 8.2561679715098535e-11 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 9 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 9 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.017 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.6152608394622803 Relaxation Obj: 0.5443310448040444 Obj: 0.5443310448040444 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.00e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5307935e+00 1.27e+01 1.13e+03 -5.5 1.53e+01 - 7.41e-01 6.48e-04h 1 2r 1.5307935e+00 1.27e+01 1.00e+03 1.1 0.00e+00 - 0.00e+00 4.05e-07R 5 3r 1.5373534e+00 1.27e+01 3.56e-02 -1.2 2.66e-02 - 9.90e-01 9.93e-01f 1 4r 1.5354114e+00 1.27e+01 5.15e-04 -6.9 6.09e-03 - 9.89e-01 9.90e-01f 1 5r 1.5350237e+00 1.27e+01 5.40e-07 -8.9 1.19e-03 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 1.5333048432399126e+00 1.5333048432399126e+00 Dual infeasibility......: 3.2609298977554380e-01 3.2609298977554380e-01 Constraint violation....: 1.2681623479697027e+01 1.2681623479697027e+01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 3.0291097359209559e-09 3.0291097359209559e-09 Overall NLP error.......: 1.2681623479697027e+01 1.2681623479697027e+01 Number of objective function evaluations = 12 Number of objective gradient evaluations = 4 Number of equality constraint evaluations = 12 Number of inequality constraint evaluations = 12 Number of equality constraint Jacobian evaluations = 8 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.279 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 4.1581058e-01 4.35e+00 3.32e+00 -5.4 2.24e+00 - 7.71e-01 1.00e+00h 1 2 7.4519461e-01 1.48e-01 1.32e+00 -0.4 2.30e+00 - 9.98e-01 1.00e+00f 1 3 7.6693579e-01 0.00e+00 4.70e-02 -2.3 2.27e+00 - 1.00e+00 1.00e+00h 1 4 7.6403727e-01 0.00e+00 2.86e-03 -3.6 3.37e-02 - 9.90e-01 1.00e+00h 1 5 7.6317908e-01 0.00e+00 1.96e-05 -5.5 6.96e-03 - 1.00e+00 1.00e+00h 1 6 7.6317679e-01 0.00e+00 1.93e-09 -11.0 3.53e-05 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 7.6317679208651090e-01 7.6317679208651090e-01 Dual infeasibility......: 1.9284158714327759e-09 1.9284158714327759e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.4917707646182787e-10 1.4917707646182787e-10 Overall NLP error.......: 1.9284158714327759e-09 1.9284158714327759e-09 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 7 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 7 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.013 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.4296081066131592 Relaxation Obj: 0.7631767920865109 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 7.6317679e-01 4.18e-01 1.00e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 9.9791001e-01 4.18e-03 5.60e-01 -0.4 4.18e-01 - 1.00e+00 9.90e-01h 1 2 9.9997912e-01 4.18e-05 1.21e-01 -2.5 4.18e-03 - 9.94e-01 9.90e-01h 1 3 9.9999979e-01 4.17e-07 2.24e-14 -4.0 4.18e-05 - 1.00e+00 9.90e-01h 1 4 1.0000000e+00 0.00e+00 2.24e-14 -10.2 4.17e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 4 (scaled) (unscaled) Objective...............: 9.9999999500996750e-01 9.9999999500996750e-01 Dual infeasibility......: 2.2427295557838963e-14 2.2427295557838963e-14 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 8.5924866627022688e-09 8.5924866627022688e-09 Overall NLP error.......: 8.5924866627022688e-09 8.5924866627022688e-09 Number of objective function evaluations = 5 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 5 Number of inequality constraint evaluations = 5 Number of equality constraint Jacobian evaluations = 5 Number of inequality constraint Jacobian evaluations = 5 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 7.6317679e-01 7.66e+00 1.01e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 7.5777453e-01 7.43e+00 2.99e+01 -5.5 3.24e-01 - 9.56e-01 3.06e-02h 1 2 7.5727500e-01 7.43e+00 2.07e+04 -2.0 6.35e+00 - 1.00e+00 1.49e-03h 1 3 7.5726743e-01 7.43e+00 9.43e+08 -3.0 6.86e+00 - 1.00e+00 2.17e-05h 1 4r 7.5726743e-01 7.43e+00 1.00e+03 0.9 0.00e+00 - 0.00e+00 1.09e-07R 2 5r 7.6334964e-01 7.42e+00 1.54e+01 -1.5 1.23e-02 - 9.84e-01 9.88e-01f 1 6r 7.6278797e-01 7.42e+00 1.41e-01 -6.9 9.46e-04 - 9.90e-01 9.75e-01f 1 7r 7.6243828e-01 7.42e+00 8.91e-04 -8.7 5.38e-04 - 9.94e-01 9.94e-01f 1 8r 7.6515523e-01 7.41e+00 1.33e-05 -7.0 4.15e-03 - 1.00e+00 1.00e+00f 1 9r 7.5729350e-01 7.43e+00 1.06e-05 -9.0 1.20e-02 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 7.5737156214505386e-01 7.5737156214505386e-01 Dual infeasibility......: 6.6017793898956922e-01 6.6017793898956922e-01 Constraint violation....: 7.4263880668549218e+00 7.4263880668549218e+00 Variable bound violation: 9.9999600822187062e-09 9.9999600822187062e-09 Complementarity.........: 9.9999999999999965e-10 9.9999999999999965e-10 Overall NLP error.......: 7.4263880668549218e+00 7.4263880668549218e+00 Number of objective function evaluations = 13 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 13 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 12 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.030 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. 0 2 1.0 0.76 23.68% 0.0 0 - #branches: 1 Obj: 0.9999999950099675 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.00e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 1.02e+00 1.38e+05 -5.5 6.94e+01 - 1.43e-04 5.44e-01h 1 2 1.5313393e+00 1.01e+00 1.36e+05 0.4 3.54e+01 - 1.00e+00 1.19e-02h 1 3 1.5313393e+00 1.01e+00 2.23e+06 0.4 3.50e+01 - 1.00e+00 1.21e-04h 1 4r 1.5313393e+00 1.01e+00 1.00e+03 1.5 0.00e+00 - 0.00e+00 3.02e-07R 3 5r 1.5313393e+00 1.01e+00 5.42e-03 1.6 3.09e+04 - 1.00e+00 1.12e-03f 1 6r 1.5313393e+00 1.01e+00 1.75e+01 0.1 8.00e-01 - 1.00e+00 8.94e-01f 1 7r 1.5313393e+00 1.01e+00 2.13e+00 -0.9 5.49e-02 - 9.93e-01 9.68e-01f 1 8r 1.5313393e+00 1.01e+00 5.11e-04 -2.3 5.21e-04 - 9.93e-01 9.99e-01f 1 9r 1.5313393e+00 1.01e+00 1.34e-06 -8.2 1.44e-05 - 9.98e-01 9.98e-01f 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 5.3727702861346025e-11 5.3727702861346025e-11 Constraint violation....: 1.0122980592591628e+00 1.0122980592591628e+00 Variable bound violation: 9.9990013424294564e-09 9.9990013424294564e-09 Complementarity.........: 1.0010551215517307e-09 1.0010551215517307e-09 Overall NLP error.......: 1.0122980592591628e+00 1.0122980592591628e+00 Number of objective function evaluations = 14 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 14 Number of inequality constraint evaluations = 14 Number of equality constraint Jacobian evaluations = 12 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.283 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 7.0479426e-01 4.18e+00 2.44e+00 -5.4 1.91e+00 - 7.97e-01 1.00e+00h 1 2 9.2228421e-01 4.58e-02 8.72e-01 -0.5 2.10e+00 - 9.89e-01 1.00e+00f 1 3 9.3920932e-01 0.00e+00 3.40e-02 -2.6 1.95e+00 - 9.95e-01 1.00e+00h 1 4 9.2854439e-01 0.00e+00 1.12e-02 -3.6 1.28e-01 - 9.61e-01 1.00e+00h 1 5 9.2610104e-01 0.00e+00 2.28e-04 -5.0 3.31e-02 - 1.00e+00 9.95e-01h 1 6 9.2609448e-01 0.00e+00 2.17e-08 -10.9 3.33e-04 - 1.00e+00 1.00e+00h 1 7 9.2609447e-01 0.00e+00 7.08e-14 -11.0 1.47e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 9.2609447160317393e-01 9.2609447160317393e-01 Dual infeasibility......: 7.0776717819853729e-14 7.0776717819853729e-14 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0004153191186290e-11 1.0004153191186290e-11 Overall NLP error.......: 1.0004153191186290e-11 1.0004153191186290e-11 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 8 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 8 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.017 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.4402179718017578 Relaxation Obj: 0.9260944716031739 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 8.58e-01 1.00e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 8.66e-01 6.36e+02 -0.1 5.51e+00 - 9.99e-01 1.80e-03h 1 2 0.0000000e+00 8.66e-01 3.54e+07 1.2 5.53e+00 - 1.00e+00 1.79e-05h 1 3r 0.0000000e+00 8.66e-01 1.00e+03 1.5 0.00e+00 - 0.00e+00 8.95e-08R 2 4r 0.0000000e+00 8.79e-01 9.80e+02 -4.7 1.22e+01 - 1.83e-01 1.03e-02f 1 5r 0.0000000e+00 1.03e+00 7.80e+02 1.0 3.55e+00 - 9.99e-01 2.11e-01f 1 6r 0.0000000e+00 1.10e+00 1.11e+03 0.8 1.68e-01 - 6.80e-01 7.73e-01h 1 7r 0.0000000e+00 9.90e-01 3.07e+02 0.9 2.35e-01 - 9.12e-01 1.00e+00f 1 8r 0.0000000e+00 1.02e+00 1.83e+02 0.1 6.12e-02 - 1.00e+00 8.48e-01h 1 9r 0.0000000e+00 1.02e+00 3.97e-01 -0.2 2.03e-02 - 9.99e-01 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 1.02e+00 3.32e-02 -6.2 1.07e-03 - 9.90e-01 9.88e-01f 1 11r 0.0000000e+00 1.02e+00 2.65e-04 -4.3 2.69e-05 - 1.00e+00 1.00e+00f 1 12r 0.0000000e+00 1.02e+00 2.93e-04 -9.0 1.33e-07 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 5.0672640169057159e-06 5.0672640169057159e-06 Constraint violation....: 1.0163376085266995e+00 1.0163376085266995e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000001500755984e-09 1.0000001500755984e-09 Overall NLP error.......: 1.0163376085266995e+00 1.0163376085266995e+00 Number of objective function evaluations = 16 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 16 Number of inequality constraint evaluations = 16 Number of equality constraint Jacobian evaluations = 15 Number of inequality constraint Jacobian evaluations = 15 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.037 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 1.52e-01 9.05e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0000500e+00 1.37e-01 3.06e+00 -5.5 2.13e-01 - 4.12e-01 1.04e-01h 1 2 1.0017725e+00 2.22e-16 2.36e-01 -1.8 7.42e-01 - 9.78e-01 1.00e+00f 1 3 1.0260962e+00 0.00e+00 1.48e-02 -1.3 5.12e-02 - 1.00e+00 1.00e+00f 1 4 1.0080244e+00 2.22e-16 6.70e-02 -7.3 1.24e-01 - 8.75e-01 1.00e+00h 1 5 1.0000806e+00 0.00e+00 2.41e-02 -3.6 6.88e-02 - 1.00e+00 9.16e-01h 1 6 1.0000040e+00 0.00e+00 4.36e-05 -5.1 3.32e-03 - 1.00e+00 1.00e+00h 1 7 1.0000000e+00 0.00e+00 4.29e-06 -11.0 2.97e-05 - 1.00e+00 1.00e+00h 1 8 1.0000000e+00 2.22e-16 1.76e-10 -11.0 1.82e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 9.9999999500999392e-01 9.9999999500999392e-01 Dual infeasibility......: 1.7633514237094489e-10 1.7633514237094489e-10 Constraint violation....: 2.2204460492503131e-16 2.2204460492503131e-16 Variable bound violation: 9.9800121500237537e-09 9.9800121500237537e-09 Complementarity.........: 1.0000003716237597e-11 1.0000003716237597e-11 Overall NLP error.......: 1.7633514237094489e-10 1.7633514237094489e-10 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 9 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 9 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. 0 2 1.0 0.93 7.39% 0.1 0 - #branches: 1 Obj: 0.9999999950099939 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.288 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310447862308 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.017 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.43425989151000977 Relaxation Obj: 0.5443310447862308 Obj: 0.5443310447862308 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 5.58e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.1501508e+00 5.11e+00 1.10e+01 -0.6 1.27e+01 - 1.57e-01 5.96e-01h 1 2 3.1621566e+00 5.03e+00 6.09e+01 -1.1 4.91e+00 - 1.00e+00 1.54e-02h 1 3 3.1622761e+00 5.03e+00 3.27e+04 0.3 4.72e+00 - 1.00e+00 2.34e-03h 1 4 3.1622777e+00 5.03e+00 1.36e+09 -1.0 4.62e+00 - 1.00e+00 2.39e-05h 1 5r 3.1622777e+00 5.03e+00 1.00e+03 0.7 0.00e+00 - 0.00e+00 1.19e-07R 2 6r 3.1622693e+00 5.03e+00 3.16e-05 -1.3 4.98e-03 - 1.00e+00 1.00e+00f 1 7r 3.1622776e+00 5.03e+00 4.23e-07 -7.3 1.32e-04 - 9.93e-01 9.93e-01f 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 3.1622776759763256e+00 3.1622776759763256e+00 Dual infeasibility......: 1.5811388219060518e-01 1.5811388219060518e-01 Constraint violation....: 5.0326471220217686e+00 5.0326471220217686e+00 Variable bound violation: 9.9978231915542892e-08 9.9978231915542892e-08 Complementarity.........: 2.1767476710005451e-08 2.1767476710005451e-08 Overall NLP error.......: 5.0326471220217686e+00 5.0326471220217686e+00 Number of objective function evaluations = 11 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 10 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.035333871841430664 Relaxation Obj: 0.5443310447862308 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.04e-01 3.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0790174e+00 0.00e+00 4.90e-01 -0.7 8.68e-01 - 3.10e-01 1.00e+00f 1 2 1.0664329e+00 0.00e+00 4.33e-03 -5.8 2.70e-02 - 9.87e-01 1.00e+00f 1 3 1.0148819e+00 0.00e+00 4.30e-02 -7.5 1.07e-01 - 9.78e-01 1.00e+00f 1 4 1.0001499e+00 0.00e+00 1.49e-02 -4.6 3.75e-02 - 1.00e+00 7.92e-01f 1 5 1.0000015e+00 0.00e+00 1.34e-04 -6.4 3.28e-04 - 1.00e+00 9.04e-01f 1 6 1.0000000e+00 0.00e+00 1.25e-06 -8.3 2.99e-06 - 1.00e+00 1.00e+00f 1 7 1.0000000e+00 0.00e+00 3.62e-09 -11.0 8.70e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 9.9999999500996750e-01 9.9999999500996750e-01 Dual infeasibility......: 3.6231452837931499e-09 3.6231452837931499e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000048221461369e-11 1.0000048221461369e-11 Overall NLP error.......: 3.6231452837931499e-09 3.6231452837931499e-09 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.009 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.95e+00 9.98e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 5.4581230e-01 7.70e+00 2.61e+01 -5.5 3.22e-01 - 8.41e-01 3.07e-02h 1 2 2.8443012e+00 1.54e-04 1.56e+01 -0.9 7.79e+00 - 1.00e+00 1.00e+00h 1 3 2.8445650e+00 0.00e+00 1.46e-03 -1.8 1.50e-03 - 1.00e+00 1.00e+00f 1 4 2.8367611e+00 0.00e+00 8.64e-02 -7.8 4.43e-02 - 9.68e-01 1.00e+00f 1 5 2.8285054e+00 2.23e-05 1.47e-01 -5.1 5.97e-02 - 1.00e+00 7.84e-01h 1 6 2.8284393e+00 0.00e+00 3.09e-01 -4.8 4.65e-04 - 1.00e+00 8.04e-01h 1 7 2.8284274e+00 0.00e+00 1.25e-06 -6.8 8.48e-05 - 1.00e+00 9.98e-01h 1 8 2.8284271e+00 0.00e+00 2.01e-08 -11.0 1.75e-06 - 1.00e+00 1.00e+00h 1 9 2.8284271e+00 0.00e+00 1.45e-13 -11.0 8.53e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 2.8284270805720162e+00 2.8284270805720162e+00 Dual infeasibility......: 1.4516166046973922e-13 1.4516166046973922e-13 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9976430467663135e-09 9.9976430467663135e-09 Complementarity.........: 1.0000000169848391e-11 1.0000000169848391e-11 Overall NLP error.......: 1.0000000169848391e-11 1.0000000169848391e-11 Number of objective function evaluations = 10 Number of objective gradient evaluations = 10 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 10 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 10 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999950099675 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.95e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.23e+00 4.69e-02 -5.5 3.47e-01 - 9.52e-01 1.00e+00h 1 2 1.5313393e+00 5.44e-01 7.99e-02 -2.5 1.74e-01 - 9.96e-01 1.00e+00h 1 3 1.5313393e+00 0.00e+00 1.92e-02 -4.0 4.95e-02 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 3.17e-04 -4.9 4.27e-03 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 1.26e-08 -10.8 2.82e-05 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 3.90e-13 -11.0 6.85e-04 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 3.8993788847455310e-13 3.8993788847455310e-13 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.1152059506788248e-11 1.1152059506788248e-11 Overall NLP error.......: 1.1152059506788248e-11 1.1152059506788248e-11 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4839416e+00 3.30e+00 1.57e-01 -5.4 3.51e-01 - 9.52e-01 1.00e+00h 1 2 1.3048472e+00 8.02e-01 3.19e-01 -6.7 4.99e-01 - 9.30e-01 1.00e+00h 1 3 1.0533955e+00 9.73e-02 4.48e-01 -2.6 6.61e-01 - 1.00e+00 1.00e+00h 1 4 5.8982897e-01 0.00e+00 8.25e-01 -3.6 9.23e-01 - 1.00e+00 1.00e+00h 1 5 4.0024267e-01 3.68e-01 1.10e+00 -1.7 1.63e+00 - 1.00e+00 3.42e-01h 1 6 5.9531365e-01 4.06e-03 1.04e+00 -2.0 2.70e-01 - 8.80e-01 1.00e+00h 1 7 5.5076681e-01 0.00e+00 2.84e-01 -2.7 2.49e-01 - 1.00e+00 1.00e+00h 1 8 5.4546369e-01 2.21e-04 5.12e-03 -3.4 2.70e-02 - 1.00e+00 9.67e-01h 1 9 5.4435008e-01 0.00e+00 1.90e-02 -5.4 2.07e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433135e-01 0.00e+00 1.11e-04 -7.1 2.84e-05 - 1.00e+00 9.76e-01h 1 11 5.4433104e-01 0.00e+00 8.90e-07 -11.0 5.32e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 1.23e-10 -11.0 1.98e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623084e-01 5.4433104478623084e-01 Dual infeasibility......: 1.2290779505264027e-10 1.2290779505264027e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000026449328530e-11 1.0000026449328530e-11 Overall NLP error.......: 1.2290779505264027e-10 1.2290779505264027e-10 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.018 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.03664994239807129 Relaxation Obj: 0.5443310447862308 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 3.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.41e+01 -5.6 3.67e-01 - 9.85e-01 2.70e-02h 1 2 0.0000000e+00 2.96e-01 6.10e+03 -1.5 8.56e-01 - 1.00e+00 5.82e-03h 1 3 0.0000000e+00 2.96e-01 8.69e+07 0.8 7.04e-01 - 1.00e+00 7.06e-05h 1 4r 0.0000000e+00 2.96e-01 1.00e+03 2.9 0.00e+00 - 0.00e+00 4.34e-07R 2 5r 0.0000000e+00 4.06e-01 2.95e+02 0.5 9.32e-01 - 1.00e+00 8.27e-01f 1 6r 0.0000000e+00 3.65e-01 2.23e+02 0.8 1.53e-01 - 1.00e+00 6.71e-01f 1 7r 0.0000000e+00 4.07e-01 1.39e+02 0.5 4.70e-02 - 9.97e-01 1.00e+00h 1 8r 0.0000000e+00 4.03e-01 5.52e-01 -0.5 6.08e-03 - 9.99e-01 1.00e+00f 1 9r 0.0000000e+00 4.03e-01 1.32e-02 -2.7 4.24e-04 - 9.97e-01 9.96e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 1.24e-03 -8.5 1.08e-05 - 9.98e-01 9.98e-01f 1 11r 0.0000000e+00 4.03e-01 6.63e-07 -9.0 3.45e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.2810718293668142e-06 2.2810718293668142e-06 Constraint violation....: 4.0324947972274006e-01 4.0324947972274006e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000000018333e-09 1.0000000000018333e-09 Overall NLP error.......: 4.0324947972274006e-01 4.0324947972274006e-01 Number of objective function evaluations = 15 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 15 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 14 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.023 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 6.60e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0025995e+00 0.00e+00 1.10e-02 -5.5 5.52e-03 - 9.89e-01 1.00e+00f 1 2 1.0000260e+00 0.00e+00 2.73e-03 -7.4 5.42e-03 - 9.89e-01 9.74e-01f 1 3 1.0000030e+00 0.00e+00 2.34e-05 -5.5 5.52e-05 - 1.00e+00 1.00e+00h 1 4 1.0000000e+00 0.00e+00 3.12e-06 -11.0 5.97e-06 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 6.06e-11 -11.0 1.47e-10 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999500999903e-01 9.9999999500999903e-01 Dual infeasibility......: 6.0585177246821139e-11 6.0585177246821139e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9800018249496247e-09 9.9800018249496247e-09 Complementarity.........: 1.0000000020444421e-11 1.0000000020444421e-11 Overall NLP error.......: 6.0585177246821139e-11 6.0585177246821139e-11 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.007 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.999999995009999 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4803481e+00 3.30e+00 1.65e-01 -5.8 3.52e-01 - 1.00e+00 1.00e+00h 1 2 1.2685150e+00 8.40e-01 3.48e-01 -6.8 5.82e-01 - 1.00e+00 1.00e+00h 1 3 9.5252729e-01 4.30e-02 5.03e-01 -2.6 7.84e-01 - 9.95e-01 1.00e+00h 1 4 5.1212396e-01 5.54e-02 9.50e-01 -4.2 1.18e+00 - 1.00e+00 6.85e-01h 1 5 3.9391736e-01 4.69e-01 1.13e+00 -2.2 2.27e+00 - 1.00e+00 2.07e-01h 1 6 5.1846953e-01 6.49e-02 5.53e-01 -1.9 8.69e-01 - 1.00e+00 4.80e-01h 1 7 5.4557200e-01 6.15e-03 2.98e-01 -2.1 4.21e-01 - 1.00e+00 9.90e-01h 1 8 5.4591049e-01 0.00e+00 9.06e-03 -3.9 5.29e-03 - 1.00e+00 1.00e+00h 1 9 5.4435013e-01 0.00e+00 3.03e-03 -5.4 2.19e-03 - 1.00e+00 9.98e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433113e-01 0.00e+00 1.60e-05 -7.2 2.40e-05 - 1.00e+00 9.98e-01h 1 11 5.4433104e-01 0.00e+00 6.93e-08 -11.0 1.61e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 4.71e-12 -11.0 5.58e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 4.7062354013860386e-12 4.7062354013860386e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000274257271e-11 1.0000000274257271e-11 Overall NLP error.......: 1.0000000274257271e-11 1.0000000274257271e-11 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.199 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310447862307 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4803481e+00 3.30e+00 1.65e-01 -5.8 3.52e-01 - 1.00e+00 1.00e+00h 1 2 1.2685150e+00 8.40e-01 3.48e-01 -6.8 5.82e-01 - 1.00e+00 1.00e+00h 1 3 9.5252729e-01 4.30e-02 5.03e-01 -2.6 7.84e-01 - 9.95e-01 1.00e+00h 1 4 5.1212396e-01 5.54e-02 9.50e-01 -4.2 1.18e+00 - 1.00e+00 6.85e-01h 1 5 3.9391736e-01 4.69e-01 1.13e+00 -2.2 2.27e+00 - 1.00e+00 2.07e-01h 1 6 5.1846953e-01 6.49e-02 5.53e-01 -1.9 8.69e-01 - 1.00e+00 4.80e-01h 1 7 5.4557200e-01 6.15e-03 2.98e-01 -2.1 4.21e-01 - 1.00e+00 9.90e-01h 1 8 5.4591049e-01 0.00e+00 9.06e-03 -3.9 5.29e-03 - 1.00e+00 1.00e+00h 1 9 5.4435013e-01 0.00e+00 3.03e-03 -5.4 2.19e-03 - 1.00e+00 9.98e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433113e-01 0.00e+00 1.60e-05 -7.2 2.40e-05 - 1.00e+00 9.98e-01h 1 11 5.4433104e-01 0.00e+00 6.93e-08 -11.0 1.61e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 4.71e-12 -11.0 5.58e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 4.7062354013860386e-12 4.7062354013860386e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000274257271e-11 1.0000000274257271e-11 Overall NLP error.......: 1.0000000274257271e-11 1.0000000274257271e-11 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.3157341480255127 Relaxation Obj: 0.5443310447862307 Obj: 0.5443310447862307 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 8.91e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.8772943e+00 0.00e+00 1.48e+00 -0.6 1.27e+01 - 1.57e-01 1.00e+00h 1 2 3.8773657e+00 0.00e+00 1.85e-04 -2.6 5.54e-04 - 1.00e+00 1.00e+00f 1 3 3.8786180e+00 0.00e+00 3.25e-03 -2.8 9.71e-03 - 1.00e+00 1.00e+00f 1 4 3.8774388e+00 0.00e+00 3.06e-03 -4.3 9.15e-03 - 1.00e+00 1.00e+00f 1 5 3.8772390e+00 0.00e+00 5.19e-04 -4.3 1.55e-03 - 1.00e+00 1.00e+00f 1 6 3.8771958e+00 0.00e+00 1.13e-04 -10.3 3.38e-04 - 1.00e+00 9.90e-01f 1 7 3.8771958e+00 0.00e+00 5.83e-08 -11.0 1.74e-07 - 1.00e+00 9.98e-01h 1 8 3.8771958e+00 0.00e+00 1.94e-11 -11.0 5.79e-11 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 3.8771957936216666e+00 3.8771957936216666e+00 Dual infeasibility......: 1.9371616371855289e-11 1.9371616371855289e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000010116389723e-11 1.0000010116389723e-11 Overall NLP error.......: 1.9371616371855289e-11 1.9371616371855289e-11 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4803481e+00 3.30e+00 1.65e-01 -5.8 3.52e-01 - 1.00e+00 1.00e+00h 1 2 1.2685150e+00 8.40e-01 3.48e-01 -6.8 5.82e-01 - 1.00e+00 1.00e+00h 1 3 9.5252729e-01 4.30e-02 5.03e-01 -2.6 7.84e-01 - 9.95e-01 1.00e+00h 1 4 5.1212396e-01 5.54e-02 9.50e-01 -4.2 1.18e+00 - 1.00e+00 6.85e-01h 1 5 3.9391736e-01 4.69e-01 1.13e+00 -2.2 2.27e+00 - 1.00e+00 2.07e-01h 1 6 5.1846953e-01 6.49e-02 5.53e-01 -1.9 8.69e-01 - 1.00e+00 4.80e-01h 1 7 5.4557200e-01 6.15e-03 2.98e-01 -2.1 4.21e-01 - 1.00e+00 9.90e-01h 1 8 5.4591049e-01 0.00e+00 9.06e-03 -3.9 5.29e-03 - 1.00e+00 1.00e+00h 1 9 5.4435013e-01 0.00e+00 3.03e-03 -5.4 2.19e-03 - 1.00e+00 9.98e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433113e-01 0.00e+00 1.60e-05 -7.2 2.40e-05 - 1.00e+00 9.98e-01h 1 11 5.4433104e-01 0.00e+00 6.93e-08 -11.0 1.61e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 4.71e-12 -11.0 5.58e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 4.7062354013860386e-12 4.7062354013860386e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000274257271e-11 1.0000000274257271e-11 Overall NLP error.......: 1.0000000274257271e-11 1.0000000274257271e-11 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.0326848030090332 Relaxation Obj: 0.5443310447862307 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.04e-01 6.94e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0004214e+00 0.00e+00 6.92e-01 -1.3 7.05e-01 - 3.09e-01 1.00e+00h 1 2 1.0003695e+00 0.00e+00 4.32e-05 -3.8 1.04e-04 - 1.00e+00 1.00e+00f 1 3 1.0000002e+00 0.00e+00 3.08e-04 -9.6 7.39e-04 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.82e-07 -8.9 4.37e-07 - 1.00e+00 1.00e+00f 1 5 1.0000000e+00 0.00e+00 6.71e-10 -11.0 1.61e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999500999914e-01 9.9999999500999914e-01 Dual infeasibility......: 6.7125577318805085e-10 6.7125577318805085e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000001947231736e-11 1.0000001947231736e-11 Overall NLP error.......: 6.7125577318805085e-10 6.7125577318805085e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.007 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433104e-01 7.95e+00 9.58e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 5.4582632e-01 7.70e+00 2.53e+01 -6.8 3.22e-01 - 8.40e-01 3.07e-02h 1 2 2.2730599e+00 2.94e+00 2.64e+02 -0.6 7.86e+00 - 1.00e+00 6.19e-01h 1 3 2.8618037e+00 0.00e+00 1.11e+01 0.3 3.02e+00 - 1.00e+00 1.00e+00f 1 4 2.8614629e+00 0.00e+00 3.64e-03 -2.3 1.95e-03 - 1.00e+00 1.00e+00h 1 5 2.8451993e+00 0.00e+00 9.38e-02 -8.0 9.28e-02 - 1.00e+00 1.00e+00f 1 6 2.8285991e+00 0.00e+00 9.52e-02 -4.8 9.42e-02 - 1.00e+00 1.00e+00f 1 7 2.8284406e+00 0.00e+00 9.07e-01 -4.5 1.50e-03 - 1.00e+00 5.97e-01h 1 8 2.8284278e+00 0.00e+00 3.66e-05 -6.3 1.32e-04 - 1.00e+00 1.00e+00h 1 9 2.8284271e+00 0.00e+00 2.06e-06 -11.0 4.10e-06 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 2.8284271e+00 0.00e+00 2.96e-11 -11.0 5.90e-11 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 2.8284270805720158e+00 2.8284270805720158e+00 Dual infeasibility......: 2.9560368042247376e-11 2.9560368042247376e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9976430467663135e-09 9.9976430467663135e-09 Complementarity.........: 1.0000000000051105e-11 1.0000000000051105e-11 Overall NLP error.......: 2.9560368042247376e-11 2.9560368042247376e-11 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999950099991 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.67e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.23e+00 4.42e-02 -5.9 3.47e-01 - 1.00e+00 1.00e+00h 1 2 1.5313393e+00 5.32e-01 7.76e-02 -2.9 1.75e-01 - 9.98e-01 1.00e+00h 1 3 1.5313393e+00 0.00e+00 1.77e-02 -7.8 4.92e-02 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 2.88e-04 -4.9 4.84e-03 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 1.02e-08 -10.8 2.85e-05 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 3.95e-13 -11.0 8.40e-04 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 3.9502221210343226e-13 3.9502221210343226e-13 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.1128457216012258e-11 1.1128457216012258e-11 Overall NLP error.......: 1.1128457216012258e-11 1.1128457216012258e-11 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4803481e+00 3.30e+00 1.65e-01 -5.8 3.52e-01 - 1.00e+00 1.00e+00h 1 2 1.2685150e+00 8.40e-01 3.48e-01 -6.8 5.82e-01 - 1.00e+00 1.00e+00h 1 3 9.5252729e-01 4.30e-02 5.03e-01 -2.6 7.84e-01 - 9.95e-01 1.00e+00h 1 4 5.1212396e-01 5.54e-02 9.50e-01 -4.2 1.18e+00 - 1.00e+00 6.85e-01h 1 5 3.9391736e-01 4.69e-01 1.13e+00 -2.2 2.27e+00 - 1.00e+00 2.07e-01h 1 6 5.1846953e-01 6.49e-02 5.53e-01 -1.9 8.69e-01 - 1.00e+00 4.80e-01h 1 7 5.4557200e-01 6.15e-03 2.98e-01 -2.1 4.21e-01 - 1.00e+00 9.90e-01h 1 8 5.4591049e-01 0.00e+00 9.06e-03 -3.9 5.29e-03 - 1.00e+00 1.00e+00h 1 9 5.4435013e-01 0.00e+00 3.03e-03 -5.4 2.19e-03 - 1.00e+00 9.98e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433113e-01 0.00e+00 1.60e-05 -7.2 2.40e-05 - 1.00e+00 9.98e-01h 1 11 5.4433104e-01 0.00e+00 6.93e-08 -11.0 1.61e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 4.71e-12 -11.0 5.58e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 4.7062354013860386e-12 4.7062354013860386e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000274257271e-11 1.0000000274257271e-11 Overall NLP error.......: 1.0000000274257271e-11 1.0000000274257271e-11 Number of objective function evaluations = 13 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.0325319766998291 Relaxation Obj: 0.5443310447862307 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 8.99e-02 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.47e+01 -6.9 3.67e-01 - 1.00e+00 2.70e-02h 1 2 0.0000000e+00 2.96e-01 6.18e+03 -1.5 8.56e-01 - 1.00e+00 5.82e-03h 1 3 0.0000000e+00 2.96e-01 8.94e+07 0.8 7.14e-01 - 1.00e+00 6.97e-05h 1 4r 0.0000000e+00 2.96e-01 1.00e+03 2.1 0.00e+00 - 0.00e+00 3.82e-07R 2 5r 0.0000000e+00 5.01e-01 1.50e+03 1.8 3.15e-01 - 9.90e-01 1.00e+00f 1 6r 0.0000000e+00 4.43e-01 5.84e+02 0.3 1.56e-01 - 7.92e-01 5.27e-01f 1 7r 0.0000000e+00 3.96e-01 7.95e+01 -0.4 8.53e-02 - 1.00e+00 1.00e+00f 1 8r 0.0000000e+00 4.03e-01 2.30e+00 -1.7 8.95e-03 - 1.00e+00 1.00e+00h 1 9r 0.0000000e+00 4.03e-01 8.25e-04 -3.4 3.03e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 5.19e-04 -9.0 6.79e-07 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.2811214434972859e-06 2.2811214434972859e-06 Constraint violation....: 4.0324947972271680e-01 4.0324947972271680e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000115287546315e-09 1.0000115287546315e-09 Overall NLP error.......: 4.0324947972271680e-01 4.0324947972271680e-01 Number of objective function evaluations = 14 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 14 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.021 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 9.83e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0043596e+00 0.00e+00 2.75e-03 -2.4 1.53e-03 - 9.97e-01 1.00e+00f 1 2 1.0000329e+00 0.00e+00 4.57e-03 -4.3 8.87e-03 - 1.00e+00 9.95e-01f 1 3 1.0000001e+00 0.00e+00 3.42e-05 -6.2 6.79e-05 - 1.00e+00 9.94e-01h 1 4 1.0000000e+00 0.00e+00 1.58e-07 -11.0 3.01e-07 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 7.19e-12 -11.0 2.44e-11 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999500999992e-01 9.9999999500999992e-01 Dual infeasibility......: 7.1905888939631670e-12 7.1905888939631670e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.9800000485927853e-09 9.9800000485927853e-09 Complementarity.........: 1.0000000876977990e-11 1.0000000876977990e-11 Overall NLP error.......: 1.0000000876977990e-11 1.0000000876977990e-11 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.007 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999950099999 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 2 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.02e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4690145e+00 3.32e+00 2.50e-01 -5.3 3.53e-01 - 9.52e-01 1.00e+00h 1 2 1.0730106e+00 8.85e-01 3.93e-01 -1.8 1.01e+00 - 9.48e-01 1.00e+00h 1 3 3.9950642e-01 2.19e-01 1.15e+00 -3.1 1.57e+00 - 9.93e-01 7.20e-01h 1 4 1.3885368e-01 1.46e+00 3.35e+00 -1.2 5.11e+00 - 1.00e+00 2.08e-01f 1 5 3.1878883e-01 4.30e-01 2.51e+00 -0.7 3.88e+00 - 1.00e+00 2.56e-01f 2 6 5.5694773e-01 3.87e-02 8.73e-01 -1.3 1.01e+00 - 1.00e+00 9.84e-01h 1 7 5.6054691e-01 0.00e+00 7.86e-02 -3.3 2.03e-02 - 1.00e+00 1.00e+00h 1 8 5.4533935e-01 4.78e-05 4.17e-02 -4.0 2.38e-02 - 1.00e+00 1.00e+00h 1 9 5.4433825e-01 6.17e-06 4.41e-03 -5.6 1.77e-03 - 1.00e+00 9.61e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433111e-01 0.00e+00 1.25e-05 -7.5 1.72e-05 - 1.00e+00 9.97e-01h 1 11 5.4433104e-01 0.00e+00 7.49e-08 -11.0 1.02e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 3.54e-12 -11.0 5.00e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 3.5390579355976115e-12 3.5390579355976115e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000288335918e-11 1.0000000288335918e-11 Overall NLP error.......: 1.0000000288335918e-11 1.0000000288335918e-11 Number of objective function evaluations = 17 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.189 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310447862307 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 2 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.02e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4690145e+00 3.32e+00 2.50e-01 -5.3 3.53e-01 - 9.52e-01 1.00e+00h 1 2 1.0730106e+00 8.85e-01 3.93e-01 -1.8 1.01e+00 - 9.48e-01 1.00e+00h 1 3 3.9950642e-01 2.19e-01 1.15e+00 -3.1 1.57e+00 - 9.93e-01 7.20e-01h 1 4 1.3885368e-01 1.46e+00 3.35e+00 -1.2 5.11e+00 - 1.00e+00 2.08e-01f 1 5 3.1878883e-01 4.30e-01 2.51e+00 -0.7 3.88e+00 - 1.00e+00 2.56e-01f 2 6 5.5694773e-01 3.87e-02 8.73e-01 -1.3 1.01e+00 - 1.00e+00 9.84e-01h 1 7 5.6054691e-01 0.00e+00 7.86e-02 -3.3 2.03e-02 - 1.00e+00 1.00e+00h 1 8 5.4533935e-01 4.78e-05 4.17e-02 -4.0 2.38e-02 - 1.00e+00 1.00e+00h 1 9 5.4433825e-01 6.17e-06 4.41e-03 -5.6 1.77e-03 - 1.00e+00 9.61e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433111e-01 0.00e+00 1.25e-05 -7.5 1.72e-05 - 1.00e+00 9.97e-01h 1 11 5.4433104e-01 0.00e+00 7.49e-08 -11.0 1.02e-07 - 1.00e+00 1.00e+00h 1 12 5.4433104e-01 0.00e+00 3.54e-12 -11.0 5.00e-12 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 3.5390579355976115e-12 3.5390579355976115e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000288335918e-11 1.0000000288335918e-11 Overall NLP error.......: 1.0000000288335918e-11 1.0000000288335918e-11 Number of objective function evaluations = 17 Number of objective gradient evaluations = 13 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.016 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.327319860458374 Relaxation Obj: 0.5443310447862307 Obj: 0.5443310447862307 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "limited-memory"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4629199e+00 3.33e+00 2.20e-01 -5.9 3.53e-01 - 1.00e+00 1.00e+00h 1 2 9.0633301e-01 0.00e+00 4.67e-01 -1.5 3.32e+00 - 1.00e+00 1.00e+00f 1 3 6.0440883e-01 1.57e-02 4.83e-01 -0.6 2.83e+00 - 1.00e+00 1.00e+00h 1 4 6.0956472e-01 2.33e-01 7.42e-01 -0.9 6.38e-01 - 1.00e+00 7.71e-01h 1 5 5.3465681e-01 1.44e-02 3.56e-01 -1.6 2.39e-01 - 1.00e+00 9.80e-01h 1 6 5.5531677e-01 4.24e-03 4.13e-02 -1.9 8.60e-02 - 1.00e+00 9.48e-01h 1 7 5.4465719e-01 2.02e-04 2.91e-02 -8.2 2.04e-02 - 1.00e+00 1.00e+00h 1 8 5.4433569e-01 0.00e+00 1.14e-03 -5.5 7.03e-04 - 1.00e+00 9.87e-01h 1 9 5.4433105e-01 0.00e+00 9.69e-06 -11.0 7.11e-06 - 1.00e+00 9.99e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433104e-01 0.00e+00 3.91e-08 -11.0 2.19e-08 - 1.00e+00 1.00e+00h 1 11 5.4433104e-01 0.00e+00 1.61e-12 -11.0 8.27e-13 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 1.6078249842621517e-12 1.6078249842621517e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000038739021e-11 1.0000000038739021e-11 Overall NLP error.......: 1.0000000038739021e-11 1.0000000038739021e-11 Number of objective function evaluations = 12 Number of objective gradient evaluations = 12 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 12 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.206 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310447862307 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 0 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4629199e+00 3.33e+00 2.20e-01 -5.9 3.53e-01 - 1.00e+00 1.00e+00h 1 2 9.0633301e-01 0.00e+00 4.67e-01 -1.5 3.32e+00 - 1.00e+00 1.00e+00f 1 3 6.0440883e-01 1.57e-02 4.83e-01 -0.6 2.83e+00 - 1.00e+00 1.00e+00h 1 4 6.0956472e-01 2.33e-01 7.42e-01 -0.9 6.38e-01 - 1.00e+00 7.71e-01h 1 5 5.3465681e-01 1.44e-02 3.56e-01 -1.6 2.39e-01 - 1.00e+00 9.80e-01h 1 6 5.5531677e-01 4.24e-03 4.13e-02 -1.9 8.60e-02 - 1.00e+00 9.48e-01h 1 7 5.4465719e-01 2.02e-04 2.91e-02 -8.2 2.04e-02 - 1.00e+00 1.00e+00h 1 8 5.4433569e-01 0.00e+00 1.14e-03 -5.5 7.03e-04 - 1.00e+00 9.87e-01h 1 9 5.4433105e-01 0.00e+00 9.69e-06 -11.0 7.11e-06 - 1.00e+00 9.99e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433104e-01 0.00e+00 3.91e-08 -11.0 2.19e-08 - 1.00e+00 1.00e+00h 1 11 5.4433104e-01 0.00e+00 1.61e-12 -11.0 8.27e-13 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 5.4433104478623073e-01 5.4433104478623073e-01 Dual infeasibility......: 1.6078249842621517e-12 1.6078249842621517e-12 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.0000000038739021e-11 1.0000000038739021e-11 Overall NLP error.......: 1.0000000038739021e-11 1.0000000038739021e-11 Number of objective function evaluations = 12 Number of objective gradient evaluations = 12 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 12 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 0 Total seconds in IPOPT = 0.025 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.36618995666503906 Relaxation Obj: 0.5443310447862307 Obj: 0.5443310447862307 Test Summary: | Pass Total Time First order - true | 20 20 4m32.9s nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 2.698 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310497361841 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.031 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 3.4655778408050537 Relaxation Obj: 0.5443310497361841 Obj: 0.5443310497361841 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 5.58e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.0445433e+00 5.76e+00 3.97e+00 -1.0 1.27e+01 - 1.56e-01 5.46e-01h 1 2 3.1611220e+00 5.04e+00 4.48e+00 -1.0 5.80e+00 - 1.00e+00 1.25e-01h 1 3 3.1622661e+00 5.03e+00 3.76e+03 -1.0 3.08e+00 - 1.00e+00 2.35e-03h 1 4 3.1622776e+00 5.03e+00 1.03e+08 -1.0 3.04e+00 - 1.00e+00 3.63e-05h 1 5r 3.1622776e+00 5.03e+00 1.00e+03 0.7 0.00e+00 - 0.00e+00 1.82e-07R 2 6r 3.1614818e+00 5.04e+00 5.03e-05 0.7 1.01e-02 - 1.00e+00 1.00e+00f 1 7r 3.1622689e+00 5.03e+00 4.81e-04 -1.4 1.25e-02 - 9.97e-01 9.97e-01f 1 8r 3.1622776e+00 5.03e+00 7.23e-09 -3.1 1.30e-04 - 1.00e+00 1.00e+00f 1 9r 3.1622777e+00 5.03e+00 1.94e-10 -7.1 1.81e-06 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 3.1622776759796238e+00 3.1622776759796238e+00 Dual infeasibility......: 1.5811388221572997e-01 1.5811388221572997e-01 Constraint violation....: 5.0326471220009106e+00 5.0326471220009106e+00 Variable bound violation: 9.9999089897551130e-08 9.9999089897551130e-08 Complementarity.........: 9.0949470177292731e-10 9.0949470177292731e-10 Overall NLP error.......: 5.0326471220009106e+00 5.0326471220009106e+00 Number of objective function evaluations = 13 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.022 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.019 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.049597978591918945 Relaxation Obj: 0.5443310497361841 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433105e-01 7.04e-01 3.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 6.6792419e-01 5.54e-01 5.67e-01 -5.0 6.69e-01 - 3.07e-01 2.24e-01h 1 2 1.0000025e+00 0.00e+00 2.16e-01 -5.0 5.54e-01 - 1.00e+00 1.00e+00h 1 3 1.0000140e+00 0.00e+00 1.01e-10 -5.0 2.32e-05 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.47e-10 -7.5 2.80e-05 - 1.00e+00 1.00e+00f 1 5 1.0000000e+00 0.00e+00 9.10e-15 -9.0 6.00e-08 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908650e-01 9.9999999590908650e-01 Dual infeasibility......: 9.1038288019262836e-15 9.1038288019262836e-15 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909276820630459e-10 9.0909276820630459e-10 Overall NLP error.......: 9.0909276820630459e-10 9.0909276820630459e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433105e-01 7.95e+00 9.98e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 5.4646286e-01 7.70e+00 2.47e+01 -5.0 3.21e-01 - 7.99e-01 3.11e-02h 1 2 2.8447890e+00 0.00e+00 2.76e+02 -5.0 7.79e+00 - 3.71e-02 1.00e+00h 1 3 2.8412579e+00 0.00e+00 1.13e-01 -5.0 2.01e-02 - 9.90e-01 1.00e+00f 1 4 2.8287030e+00 0.00e+00 5.17e-06 -5.0 7.12e-02 - 1.00e+00 1.00e+00f 1 5 2.8284470e+00 0.00e+00 2.17e-09 -5.0 1.45e-03 - 1.00e+00 1.00e+00f 1 6 2.8284271e+00 0.00e+00 1.64e-10 -7.5 1.13e-04 - 1.00e+00 1.00e+00f 1 7 2.8284271e+00 0.00e+00 9.09e-15 -9.0 3.48e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 2.8284270823701996e+00 2.8284270823701996e+00 Dual infeasibility......: 9.0909090910998750e-15 9.0909090910998750e-15 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.7857250080934932e-09 9.7857250080934932e-09 Complementarity.........: 9.0909225288596223e-10 9.0909225288596223e-10 Overall NLP error.......: 9.0909225288596223e-10 9.0909225288596223e-10 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 7 Total seconds in IPOPT = 0.012 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090865 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.95e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.18e+00 3.71e-01 -1.0 3.50e-01 - 9.63e-01 1.00e+00h 1 2 1.5313393e+00 0.00e+00 1.54e-01 -1.0 2.59e+00 - 1.00e+00 1.00e+00f 1 3 1.5313393e+00 0.00e+00 8.69e-02 -1.0 7.58e-01 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 5.07e-03 -1.7 2.08e-01 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 7.31e-06 -3.8 6.87e-04 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 2.23e-07 -5.7 4.58e-04 - 1.00e+00 1.00e+00h 1 7 1.5313393e+00 0.00e+00 3.01e-10 -8.6 5.20e-05 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 3.0087338237013734e-10 3.0087338237013734e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5623377737693957e-09 2.5623377737693957e-09 Overall NLP error.......: 2.5623377737693957e-09 2.5623377737693957e-09 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 7 Total seconds in IPOPT = 0.015 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.020 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.04143786430358887 Relaxation Obj: 0.5443310497361841 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 3.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.43e+01 -5.0 3.66e-01 - 9.95e-01 2.73e-02h 1 2 0.0000000e+00 2.96e-01 3.94e+03 -5.0 8.87e-01 - 5.99e-01 5.54e-03h 1 3r 0.0000000e+00 2.96e-01 1.00e+03 -0.5 0.00e+00 - 0.00e+00 2.84e-08R 2 4r 0.0000000e+00 4.71e-01 9.98e+02 -0.5 1.16e+02 - 5.10e-03 2.55e-03f 1 5r 0.0000000e+00 4.54e-01 5.32e+02 -0.5 9.93e-02 - 5.60e-03 1.00e+00h 1 6r 0.0000000e+00 4.15e-01 1.23e+02 -0.5 3.97e-02 - 1.00e+00 1.00e+00f 1 7r 0.0000000e+00 4.03e-01 1.21e+00 -0.5 1.42e-02 - 1.00e+00 1.00e+00h 1 8r 0.0000000e+00 4.03e-01 2.61e-02 -1.9 5.05e-04 - 1.00e+00 1.00e+00f 1 9r 0.0000000e+00 4.03e-01 7.35e-03 -4.3 3.31e-05 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 3.87e-09 -4.3 7.13e-07 - 1.00e+00 1.00e+00h 1 11r 0.0000000e+00 4.03e-01 4.51e-04 -6.5 1.19e-07 - 1.00e+00 1.00e+00f 1 12r 0.0000000e+00 4.03e-01 1.53e-11 -6.5 4.35e-08 - 1.00e+00 1.00e+00h 1 13r 0.0000000e+00 4.03e-01 3.83e-05 -9.0 8.11e-10 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 13 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.1749207546740267e-06 2.1749207546740267e-06 Constraint violation....: 4.0324947973308023e-01 4.0324947973308023e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909090909139445e-10 9.0909090909139445e-10 Overall NLP error.......: 4.0324947973308023e-01 4.0324947973308023e-01 Number of objective function evaluations = 17 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 16 Number of Lagrangian Hessian evaluations = 14 Total seconds in IPOPT = 0.028 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 6.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0025752e+00 0.00e+00 3.01e-03 -5.0 5.36e-03 - 9.99e-01 1.00e+00f 1 2 1.0000000e+00 0.00e+00 3.45e-04 -5.0 5.46e-03 - 1.00e+00 9.75e-01f 1 3 1.0000100e+00 0.00e+00 7.92e-06 -5.0 5.60e-03 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.36e-08 -7.5 1.82e-04 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 4.19e-10 -9.0 1.20e-03 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908473e-01 9.9999999590908473e-01 Dual infeasibility......: 4.1852577754766179e-10 4.1852577754766179e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 8.1818305464054220e-09 8.1818305464054220e-09 Complementarity.........: 9.6638873075616875e-10 9.6638873075616875e-10 Overall NLP error.......: 9.6638873075616875e-10 9.6638873075616875e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090847 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 2.6953208e-01 4.97e+00 1.58e+00 -1.0 2.60e+00 - 7.51e-01 8.98e-01h 1 2 2.9869177e-01 1.17e+00 7.56e-01 -1.0 5.38e-01 - 6.89e-01 1.00e+00h 1 3 5.0075056e-01 1.84e-01 9.79e-01 -1.0 5.18e-01 - 5.48e-01 1.00e+00h 1 4 5.1079492e-01 1.40e-01 3.57e-01 -1.7 2.21e-01 - 1.00e+00 5.39e-01h 1 5 5.5474500e-01 4.08e-03 3.00e-01 -1.7 5.94e-02 - 1.00e+00 9.94e-01h 1 6 5.4169563e-01 1.06e-02 3.74e+00 -1.7 1.18e-01 - 1.00e+00 5.06e-01h 1 7 5.4635784e-01 7.47e-04 3.81e+00 -1.7 1.52e-02 - 1.00e+00 7.15e-01h 1 8 5.4395038e-01 1.52e-03 1.93e+01 -1.7 2.13e-02 - 1.00e+00 5.33e-01h 1 9 5.4471966e-01 1.41e-04 3.56e+01 -1.7 3.35e-03 - 1.00e+00 6.17e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4449421e-01 5.93e-05 1.65e+02 -1.7 3.76e-03 - 1.00e+00 2.87e-01f 2 11 5.4431181e-01 7.68e-05 8.54e+01 -1.7 1.35e-03 - 1.00e+00 8.06e-01h 1 12 5.4433602e-01 1.80e-06 1.14e+03 -1.7 3.26e-04 - 1.00e+00 2.33e-01f 2 13 5.4433805e-01 2.54e-06 5.11e+02 -1.7 5.75e-05 - 1.00e+00 8.29e-01h 1 14 5.4433377e-01 9.82e-07 8.86e+03 -1.7 9.24e-05 - 1.00e+00 2.12e-01f 2 15 5.4433074e-01 1.23e-06 3.53e+03 -1.7 2.34e-05 - 1.00e+00 8.43e-01h 1 16 5.4433117e-01 3.83e-08 7.10e+04 -1.7 7.01e-06 - 1.00e+00 2.02e-01f 2 17 5.4433116e-01 3.52e-08 2.50e+04 -1.7 1.18e-06 - 1.00e+00 8.59e-01h 1 18 5.4433109e-01 1.11e-08 5.66e+05 -1.7 1.47e-06 - 1.00e+00 2.02e-01f 2 19 5.4433105e-01 4.23e-09 7.53e+04 -1.7 3.19e-07 - 1.00e+00 9.44e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 5.4433105e-01 0.00e+00 3.40e+06 -1.7 1.20e-07 - 1.00e+00 2.55e-01f 2 21 5.4433105e-01 0.00e+00 1.10e-02 -1.7 6.90e-09 - 1.00e+00 1.00e+00h 1 22 5.4433105e-01 0.00e+00 1.83e-01 -8.6 5.41e-15 - 1.00e+00 1.00e+00h 1 23 5.4433105e-01 0.00e+00 6.08e-01 -8.6 2.69e-08 - 1.00e+00 4.99e-01h 2 24 5.4433105e-01 0.00e+00 9.41e-10 -8.6 4.53e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 24 (scaled) (unscaled) Objective...............: 5.4433104992194070e-01 5.4433104992194070e-01 Dual infeasibility......: 9.4077788656834036e-10 9.4077788656834036e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.6990875552312226e-09 2.6990875552312226e-09 Overall NLP error.......: 2.6990875552312226e-09 2.6990875552312226e-09 Number of objective function evaluations = 33 Number of objective gradient evaluations = 25 Number of equality constraint evaluations = 33 Number of inequality constraint evaluations = 33 Number of equality constraint Jacobian evaluations = 25 Number of inequality constraint Jacobian evaluations = 25 Number of Lagrangian Hessian evaluations = 24 Total seconds in IPOPT = 1.167 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310499219407 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 2.6953208e-01 4.97e+00 1.58e+00 -1.0 2.60e+00 - 7.51e-01 8.98e-01h 1 2 2.9869177e-01 1.17e+00 7.56e-01 -1.0 5.38e-01 - 6.89e-01 1.00e+00h 1 3 5.0075056e-01 1.84e-01 9.79e-01 -1.0 5.18e-01 - 5.48e-01 1.00e+00h 1 4 5.1079492e-01 1.40e-01 3.57e-01 -1.7 2.21e-01 - 1.00e+00 5.39e-01h 1 5 5.5474500e-01 4.08e-03 3.00e-01 -1.7 5.94e-02 - 1.00e+00 9.94e-01h 1 6 5.4169563e-01 1.06e-02 3.74e+00 -1.7 1.18e-01 - 1.00e+00 5.06e-01h 1 7 5.4635784e-01 7.47e-04 3.81e+00 -1.7 1.52e-02 - 1.00e+00 7.15e-01h 1 8 5.4395038e-01 1.52e-03 1.93e+01 -1.7 2.13e-02 - 1.00e+00 5.33e-01h 1 9 5.4471966e-01 1.41e-04 3.56e+01 -1.7 3.35e-03 - 1.00e+00 6.17e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4449421e-01 5.93e-05 1.65e+02 -1.7 3.76e-03 - 1.00e+00 2.87e-01f 2 11 5.4431181e-01 7.68e-05 8.54e+01 -1.7 1.35e-03 - 1.00e+00 8.06e-01h 1 12 5.4433602e-01 1.80e-06 1.14e+03 -1.7 3.26e-04 - 1.00e+00 2.33e-01f 2 13 5.4433805e-01 2.54e-06 5.11e+02 -1.7 5.75e-05 - 1.00e+00 8.29e-01h 1 14 5.4433377e-01 9.82e-07 8.86e+03 -1.7 9.24e-05 - 1.00e+00 2.12e-01f 2 15 5.4433074e-01 1.23e-06 3.53e+03 -1.7 2.34e-05 - 1.00e+00 8.43e-01h 1 16 5.4433117e-01 3.83e-08 7.10e+04 -1.7 7.01e-06 - 1.00e+00 2.02e-01f 2 17 5.4433116e-01 3.52e-08 2.50e+04 -1.7 1.18e-06 - 1.00e+00 8.59e-01h 1 18 5.4433109e-01 1.11e-08 5.66e+05 -1.7 1.47e-06 - 1.00e+00 2.02e-01f 2 19 5.4433105e-01 4.23e-09 7.53e+04 -1.7 3.19e-07 - 1.00e+00 9.44e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 5.4433105e-01 0.00e+00 3.40e+06 -1.7 1.20e-07 - 1.00e+00 2.55e-01f 2 21 5.4433105e-01 0.00e+00 1.10e-02 -1.7 6.90e-09 - 1.00e+00 1.00e+00h 1 22 5.4433105e-01 0.00e+00 1.83e-01 -8.6 5.41e-15 - 1.00e+00 1.00e+00h 1 23 5.4433105e-01 0.00e+00 6.08e-01 -8.6 2.69e-08 - 1.00e+00 4.99e-01h 2 24 5.4433105e-01 0.00e+00 9.41e-10 -8.6 4.53e-09 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 24 (scaled) (unscaled) Objective...............: 5.4433104992194070e-01 5.4433104992194070e-01 Dual infeasibility......: 9.4077788656834036e-10 9.4077788656834036e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.6990875552312226e-09 2.6990875552312226e-09 Overall NLP error.......: 2.6990875552312226e-09 2.6990875552312226e-09 Number of objective function evaluations = 33 Number of objective gradient evaluations = 25 Number of equality constraint evaluations = 33 Number of inequality constraint evaluations = 33 Number of equality constraint Jacobian evaluations = 25 Number of inequality constraint Jacobian evaluations = 25 Number of Lagrangian Hessian evaluations = 24 Total seconds in IPOPT = 0.069 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.370898962020874 Relaxation Obj: 0.5443310499219407 Obj: 0.5443310499219407 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5307935e+00 1.27e+01 1.15e+03 -1.0 1.53e+01 - 7.48e-01 6.48e-04h 1 2r 1.5307935e+00 1.27e+01 1.00e+03 1.1 0.00e+00 - 0.00e+00 4.05e-07R 5 3r 2.4497003e+00 9.03e+00 2.09e+00 1.1 3.66e+00 - 6.99e-01 1.00e+00f 1 4r 2.2028677e+00 1.02e+01 1.67e+00 -1.0 1.16e+00 - 7.82e-01 9.96e-01f 1 5r 2.1421357e+00 1.04e+01 9.50e-02 -1.7 2.64e-01 - 9.77e-01 1.00e+00f 1 6r 1.9274885e+00 1.13e+01 2.30e-02 -2.5 8.74e-01 - 9.87e-01 1.00e+00f 1 7r 1.7445294e+00 1.20e+01 5.27e-03 -3.8 6.72e-01 - 1.00e+00 1.00e+00f 1 8r 1.6408104e+00 1.23e+01 8.12e-04 -5.7 3.51e-01 - 9.63e-01 1.00e+00f 1 9r 1.5982380e+00 1.25e+01 1.96e-11 -5.7 1.38e-01 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 1.5360631e+00 1.27e+01 4.52e-06 -8.6 1.95e-01 - 9.76e-01 1.00e+00f 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 1.5318761989837957e+00 1.5318761989837957e+00 Dual infeasibility......: 3.2639710195046856e-01 3.2639710195046856e-01 Constraint violation....: 1.2686002532986958e+01 1.2686002532986958e+01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 3.5164275897626531e-08 3.5164275897626531e-08 Overall NLP error.......: 1.2686002532986958e+01 1.2686002532986958e+01 Number of objective function evaluations = 17 Number of objective gradient evaluations = 4 Number of equality constraint evaluations = 17 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 13 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 11 Total seconds in IPOPT = 1.104 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 4.1899171e-01 4.31e+00 9.89e-01 -1.0 2.24e+00 - 7.79e-01 1.00e+00h 1 2 6.7619428e-01 8.22e-01 1.68e+00 -1.0 4.59e-01 - 3.69e-01 1.00e+00h 1 3 8.1762691e-01 0.00e+00 6.16e-01 -1.0 3.14e-01 - 1.00e+00 1.00e+00h 1 4 7.5538450e-01 6.28e-02 6.21e-02 -1.7 8.62e-01 - 8.77e-01 1.00e+00h 1 5 7.6571794e-01 0.00e+00 4.79e-03 -2.5 1.79e-02 - 1.00e+00 1.00e+00h 1 6 7.6333484e-01 0.00e+00 1.77e-04 -3.8 2.11e-02 - 1.00e+00 1.00e+00h 1 7 7.6317865e-01 0.00e+00 4.48e-07 -5.7 1.37e-03 - 1.00e+00 1.00e+00h 1 8 7.6317680e-01 0.00e+00 9.04e-11 -8.6 1.52e-05 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 7.6317679541752603e-01 7.6317679541752603e-01 Dual infeasibility......: 9.0405300265513036e-11 9.0405300265513036e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5239500058452538e-09 2.5239500058452538e-09 Overall NLP error.......: 2.5239500058452538e-09 2.5239500058452538e-09 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 9 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 9 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 8 Total seconds in IPOPT = 0.022 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.2497179508209229 Relaxation Obj: 0.763176795417526 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 7.6317680e-01 4.18e-01 1.00e+00 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 9.9999795e-01 4.10e-06 7.17e-01 -5.0 4.18e-01 - 5.82e-01 1.00e+00h 1 2 1.0000000e+00 0.00e+00 1.11e-16 -5.0 4.10e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 2 (scaled) (unscaled) Objective...............: 9.9999999590908650e-01 9.9999999590908650e-01 Dual infeasibility......: 1.1102230246251565e-16 1.1102230246251565e-16 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 0.0000000000000000e+00 0.0000000000000000e+00 Overall NLP error.......: 1.1102230246251565e-16 1.1102230246251565e-16 Number of objective function evaluations = 3 Number of objective gradient evaluations = 3 Number of equality constraint evaluations = 3 Number of inequality constraint evaluations = 3 Number of equality constraint Jacobian evaluations = 3 Number of inequality constraint Jacobian evaluations = 3 Number of Lagrangian Hessian evaluations = 2 Total seconds in IPOPT = 0.008 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 7.6317680e-01 7.66e+00 1.01e+00 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 7.5771986e-01 7.43e+00 3.03e+01 -5.0 3.24e-01 - 9.65e-01 3.09e-02h 1 2 7.5726507e-01 7.43e+00 2.45e+04 -5.0 8.01e+00 - 9.43e-01 1.20e-03h 1 3r 7.5726507e-01 7.43e+00 1.00e+03 0.9 0.00e+00 - 0.00e+00 6.66e-09R 2 4r 1.3952693e+00 6.23e+00 1.43e+04 0.9 1.38e+00 - 4.18e-01 1.00e+00f 1 5r 1.5024955e+00 5.74e+00 4.23e+02 0.9 1.05e+00 - 1.00e+00 4.68e-01f 1 6r 1.3383551e+00 6.21e+00 1.83e+00 0.2 4.69e-01 - 1.00e+00 1.00e+00f 1 7r 1.1569585e+00 6.66e+00 9.51e-01 -2.9 4.54e-01 - 9.33e-01 9.99e-01f 1 8r 1.1442571e+00 6.69e+00 3.54e-08 -2.9 2.92e-02 - 1.00e+00 1.00e+00f 1 9r 9.1782683e-01 7.16e+00 8.01e-03 -4.3 4.67e-01 - 9.67e-01 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 8.6352893e-01 7.25e+00 1.08e-03 -6.5 9.67e-02 - 1.00e+00 1.00e+00f 1 11r 8.3717664e-01 7.30e+00 3.21e-12 -6.5 4.48e-02 - 1.00e+00 1.00e+00f 1 12r 7.7011402e-01 7.41e+00 1.07e-05 -9.0 1.08e-01 - 9.88e-01 1.00e+00f 1 Number of Iterations....: 12 (scaled) (unscaled) Objective...............: 7.6245328921004207e-01 7.6245328921004207e-01 Dual infeasibility......: 6.5577764017457107e-01 6.5577764017457107e-01 Constraint violation....: 7.4186647317736636e+00 7.4186647317736636e+00 Variable bound violation: 9.9999636349323850e-09 9.9999636349323850e-09 Complementarity.........: 4.2133776967103527e-08 4.2133776967103527e-08 Overall NLP error.......: 7.4186647317736636e+00 7.4186647317736636e+00 Number of objective function evaluations = 16 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 16 Number of inequality constraint evaluations = 16 Number of equality constraint Jacobian evaluations = 15 Number of inequality constraint Jacobian evaluations = 15 Number of Lagrangian Hessian evaluations = 13 Total seconds in IPOPT = 0.035 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. 0 2 1.0 0.76 23.68% 0.0 0 - #branches: 1 Obj: 0.9999999959090865 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 1.02e+00 1.38e+05 -1.0 6.93e+01 - 1.43e-04 5.45e-01f 1 2 1.5313393e+00 1.01e+00 1.36e+05 -1.0 3.54e+01 - 9.06e-01 1.20e-02h 1 3 1.5313393e+00 1.01e+00 5.40e+05 -1.0 3.50e+01 - 1.00e+00 1.21e-04h 1 4r 1.5313393e+00 1.01e+00 1.00e+03 1.5 0.00e+00 - 0.00e+00 3.03e-07R 3 5r 1.5313393e+00 1.01e+00 9.66e+02 1.5 3.45e+04 - 1.00e+00 1.00e-03f 1 6r 1.5313393e+00 1.02e+00 2.36e+01 0.8 7.79e-01 - 1.00e+00 9.76e-01f 1 7r 1.5313393e+00 1.01e+00 1.76e+00 -0.6 2.50e-02 - 1.00e+00 9.68e-01f 1 8r 1.5313393e+00 1.01e+00 4.35e-04 -2.0 6.12e-04 - 1.00e+00 1.00e+00f 1 9r 1.5313393e+00 1.01e+00 6.68e-07 -4.4 3.24e-05 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 1.5313393e+00 1.01e+00 7.25e-09 -6.6 1.20e-07 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 6.2910257901226213e-10 6.2910257901226213e-10 Constraint violation....: 1.0095735687287200e+00 1.0095735687287200e+00 Variable bound violation: 9.9990909093021935e-09 9.9990909093021935e-09 Complementarity.........: 9.0909105875174152e-10 9.0909105875174152e-10 Overall NLP error.......: 1.0095735687287200e+00 1.0095735687287200e+00 Number of objective function evaluations = 15 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 15 Number of inequality constraint evaluations = 15 Number of equality constraint Jacobian evaluations = 13 Number of inequality constraint Jacobian evaluations = 13 Number of Lagrangian Hessian evaluations = 11 Total seconds in IPOPT = 1.380 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.01e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 7.0855116e-01 4.13e+00 4.55e-01 -1.0 1.91e+00 - 8.06e-01 1.00e+00h 1 2 8.8055969e-01 6.30e-01 6.97e-01 -1.0 5.91e-01 - 7.01e-01 1.00e+00h 1 3 9.8761886e-01 2.22e-16 3.40e-01 -1.0 3.75e-01 - 1.00e+00 1.00e+00h 1 4 9.5109087e-01 2.22e-16 3.54e-02 -1.7 7.65e-01 - 9.75e-01 1.00e+00h 1 5 9.2870802e-01 2.22e-16 8.94e-04 -2.5 2.76e-01 - 1.00e+00 1.00e+00h 1 6 9.2749778e-01 2.22e-16 4.51e-05 -3.8 3.32e-02 - 1.00e+00 1.00e+00h 1 7 9.2733742e-01 0.00e+00 5.54e-07 -5.7 1.97e-03 - 1.00e+00 1.00e+00h 1 8 9.2733551e-01 2.22e-16 8.08e-11 -8.6 2.38e-05 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 8 (scaled) (unscaled) Objective...............: 9.2733551436473083e-01 9.2733551436473083e-01 Dual infeasibility......: 8.0789227653645293e-11 8.0789227653645293e-11 Constraint violation....: 2.2204460492503131e-16 2.2204460492503131e-16 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5285835227946036e-09 2.5285835227946036e-09 Overall NLP error.......: 2.5285835227946036e-09 2.5285835227946036e-09 Number of objective function evaluations = 9 Number of objective gradient evaluations = 9 Number of equality constraint evaluations = 9 Number of inequality constraint evaluations = 9 Number of equality constraint Jacobian evaluations = 9 Number of inequality constraint Jacobian evaluations = 9 Number of Lagrangian Hessian evaluations = 8 Total seconds in IPOPT = 0.025 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.54227614402771 Relaxation Obj: 0.9273355143647308 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 1 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 8.60e-01 1.00e+00 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 8.68e-01 9.77e+00 -5.0 5.54e+00 - 1.77e-02 1.81e-03h 1 2r 0.0000000e+00 8.68e-01 9.99e+02 -0.1 0.00e+00 - 0.00e+00 9.00e-09R 2 3r 0.0000000e+00 8.69e-01 1.00e+03 -0.1 6.23e+02 - 7.53e-03 9.27e-05f 1 4r 0.0000000e+00 1.02e+00 9.86e+02 -0.1 6.04e+01 - 1.33e-02 1.34e-02f 1 5r 0.0000000e+00 1.03e+00 9.64e+02 -0.1 7.11e-01 - 1.99e-01 2.76e-02f 1 6r 0.0000000e+00 9.24e-01 8.95e+02 -0.1 3.78e+00 - 1.92e-01 6.65e-02f 2 7r 0.0000000e+00 1.00e+00 6.73e+02 -0.1 1.02e+00 - 1.00e+00 2.48e-01f 1 8r 0.0000000e+00 1.11e+00 1.54e+03 -0.1 2.05e-01 - 8.02e-01 1.00e+00h 1 9r 0.0000000e+00 9.87e-01 3.97e+02 -0.1 2.35e-01 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 1.03e+00 1.87e+02 -0.1 8.55e-02 - 1.00e+00 1.00e+00h 1 11r 0.0000000e+00 1.02e+00 3.46e+00 -0.1 2.95e-02 - 1.00e+00 1.00e+00h 1 12r 0.0000000e+00 1.02e+00 1.16e-01 -1.5 1.29e-03 - 1.00e+00 1.00e+00f 1 13r 0.0000000e+00 1.02e+00 2.62e-02 -3.3 9.54e-05 - 1.00e+00 1.00e+00f 1 14r 0.0000000e+00 1.02e+00 3.11e-03 -4.9 4.49e-06 - 1.00e+00 1.00e+00f 1 15r 0.0000000e+00 1.02e+00 5.47e-10 -4.9 3.88e-07 - 1.00e+00 1.00e+00h 1 16r 0.0000000e+00 1.02e+00 5.21e-04 -7.4 2.84e-08 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 16 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 3.2529526186735771e-05 3.2529526186735771e-05 Constraint violation....: 1.0190620976183256e+00 1.0190620976183256e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 4.0993603424710094e-08 4.0993603424710094e-08 Overall NLP error.......: 1.0190620976183256e+00 1.0190620976183256e+00 Number of objective function evaluations = 23 Number of objective gradient evaluations = 4 Number of equality constraint evaluations = 23 Number of inequality constraint evaluations = 23 Number of equality constraint Jacobian evaluations = 19 Number of inequality constraint Jacobian evaluations = 19 Number of Lagrangian Hessian evaluations = 17 Total seconds in IPOPT = 0.056 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 2 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 1 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 1.50e-01 9.05e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0000000e+00 1.34e-01 3.19e+00 -5.0 2.02e-01 - 4.26e-01 1.05e-01h 1 2 1.0000011e+00 0.00e+00 1.70e-01 -5.0 7.11e-01 - 9.86e-01 1.00e+00h 1 3 1.0000059e+00 0.00e+00 3.09e-06 -5.0 1.84e-01 - 1.00e+00 1.00e+00h 1 4 1.0000100e+00 0.00e+00 1.30e-07 -5.0 3.05e-05 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 2.22e-16 5.70e-09 -7.5 7.37e-05 - 1.00e+00 1.00e+00h 1 6 1.0000000e+00 0.00e+00 5.48e-14 -9.0 2.27e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 9.9999999590908573e-01 9.9999999590908573e-01 Dual infeasibility......: 5.4780685616517710e-14 5.4780685616517710e-14 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 8.1818285480039776e-09 8.1818285480039776e-09 Complementarity.........: 9.0910124122469904e-10 9.0910124122469904e-10 Overall NLP error.......: 9.0910124122469904e-10 9.0910124122469904e-10 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 7 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 7 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 6 Total seconds in IPOPT = 0.021 EXIT: Optimal Solution Found. 0 2 1.0 0.93 7.27% 0.1 0 - #branches: 1 Obj: 0.9999999959090857 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 1.027 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310497361841 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.015 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.1776461601257324 Relaxation Obj: 0.5443310497361841 Obj: 0.5443310497361841 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 5.58e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.0445433e+00 5.76e+00 3.97e+00 -1.0 1.27e+01 - 1.56e-01 5.46e-01h 1 2 3.1611220e+00 5.04e+00 4.48e+00 -1.0 5.80e+00 - 1.00e+00 1.25e-01h 1 3 3.1622661e+00 5.03e+00 3.76e+03 -1.0 3.08e+00 - 1.00e+00 2.35e-03h 1 4 3.1622776e+00 5.03e+00 1.03e+08 -1.0 3.04e+00 - 1.00e+00 3.63e-05h 1 5r 3.1622776e+00 5.03e+00 1.00e+03 0.7 0.00e+00 - 0.00e+00 1.82e-07R 2 6r 3.1614818e+00 5.04e+00 5.03e-05 0.7 1.01e-02 - 1.00e+00 1.00e+00f 1 7r 3.1622689e+00 5.03e+00 4.81e-04 -1.4 1.25e-02 - 9.97e-01 9.97e-01f 1 8r 3.1622776e+00 5.03e+00 7.23e-09 -3.1 1.30e-04 - 1.00e+00 1.00e+00f 1 9r 3.1622777e+00 5.03e+00 1.94e-10 -7.1 1.81e-06 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 9 (scaled) (unscaled) Objective...............: 3.1622776759796238e+00 3.1622776759796238e+00 Dual infeasibility......: 1.5811388221572997e-01 1.5811388221572997e-01 Constraint violation....: 5.0326471220009106e+00 5.0326471220009106e+00 Variable bound violation: 9.9999089897551130e-08 9.9999089897551130e-08 Complementarity.........: 9.0949470177292731e-10 9.0949470177292731e-10 Overall NLP error.......: 5.0326471220009106e+00 5.0326471220009106e+00 Number of objective function evaluations = 13 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 13 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.017 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. Start values are not feasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.020 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.047888994216918945 Relaxation Obj: 0.5443310497361841 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433105e-01 7.04e-01 3.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 6.6792419e-01 5.54e-01 5.67e-01 -5.0 6.69e-01 - 3.07e-01 2.24e-01h 1 2 1.0000025e+00 0.00e+00 2.16e-01 -5.0 5.54e-01 - 1.00e+00 1.00e+00h 1 3 1.0000140e+00 0.00e+00 1.01e-10 -5.0 2.32e-05 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.47e-10 -7.5 2.80e-05 - 1.00e+00 1.00e+00f 1 5 1.0000000e+00 0.00e+00 9.10e-15 -9.0 6.00e-08 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908650e-01 9.9999999590908650e-01 Dual infeasibility......: 9.1038288019262836e-15 9.1038288019262836e-15 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909276820630459e-10 9.0909276820630459e-10 Overall NLP error.......: 9.0909276820630459e-10 9.0909276820630459e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.011 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433105e-01 7.95e+00 9.98e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 5.4646286e-01 7.70e+00 2.47e+01 -5.0 3.21e-01 - 7.99e-01 3.11e-02h 1 2 2.8447890e+00 0.00e+00 2.76e+02 -5.0 7.79e+00 - 3.71e-02 1.00e+00h 1 3 2.8412579e+00 0.00e+00 1.13e-01 -5.0 2.01e-02 - 9.90e-01 1.00e+00f 1 4 2.8287030e+00 0.00e+00 5.17e-06 -5.0 7.12e-02 - 1.00e+00 1.00e+00f 1 5 2.8284470e+00 0.00e+00 2.17e-09 -5.0 1.45e-03 - 1.00e+00 1.00e+00f 1 6 2.8284271e+00 0.00e+00 1.64e-10 -7.5 1.13e-04 - 1.00e+00 1.00e+00f 1 7 2.8284271e+00 0.00e+00 9.09e-15 -9.0 3.48e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 2.8284270823701996e+00 2.8284270823701996e+00 Dual infeasibility......: 9.0909090910998750e-15 9.0909090910998750e-15 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 9.7857250080934932e-09 9.7857250080934932e-09 Complementarity.........: 9.0909225288596223e-10 9.0909225288596223e-10 Overall NLP error.......: 9.0909225288596223e-10 9.0909225288596223e-10 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 7 Total seconds in IPOPT = 0.013 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090865 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.95e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.18e+00 3.71e-01 -1.0 3.50e-01 - 9.63e-01 1.00e+00h 1 2 1.5313393e+00 0.00e+00 1.54e-01 -1.0 2.59e+00 - 1.00e+00 1.00e+00f 1 3 1.5313393e+00 0.00e+00 8.69e-02 -1.0 7.58e-01 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 5.07e-03 -1.7 2.08e-01 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 7.31e-06 -3.8 6.87e-04 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 2.23e-07 -5.7 4.58e-04 - 1.00e+00 1.00e+00h 1 7 1.5313393e+00 0.00e+00 3.01e-10 -8.6 5.20e-05 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 3.0087338237013734e-10 3.0087338237013734e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5623377737693957e-09 2.5623377737693957e-09 Overall NLP error.......: 2.5623377737693957e-09 2.5623377737693957e-09 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 7 Total seconds in IPOPT = 0.011 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4484970e+00 3.30e+00 3.07e-01 -1.0 3.57e-01 - 9.62e-01 1.00e+00h 1 2 2.1043058e-01 8.80e-01 1.86e+00 -1.0 2.28e+00 - 1.00e+00 9.04e-01f 1 3 3.2980207e-01 4.23e-01 4.10e+00 -1.0 4.55e-01 2.0 1.00e+00 1.80e-01h 1 4 4.6319322e-01 3.06e-01 5.95e-01 -1.0 2.44e+00 - 9.89e-01 8.73e-01h 1 5 6.6990631e-01 0.00e+00 3.13e-01 -1.7 2.34e-01 - 5.12e-01 1.00e+00h 1 6 5.5374056e-01 0.00e+00 3.02e-02 -1.7 1.76e-01 - 1.00e+00 9.76e-01h 1 7 5.5036374e-01 0.00e+00 1.43e-03 -2.5 2.24e-02 - 1.00e+00 1.00e+00h 1 8 5.4452410e-01 0.00e+00 1.55e-04 -3.8 9.33e-03 - 1.00e+00 1.00e+00h 1 9 5.4433455e-01 0.00e+00 4.85e-07 -5.7 4.15e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.71e-11 -8.6 5.86e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973618407e-01 5.4433104973618407e-01 Dual infeasibility......: 5.7061556166857168e-11 5.7061556166857168e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5314665751256565e-09 2.5314665751256565e-09 Overall NLP error.......: 2.5314665751256565e-09 2.5314665751256565e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.013 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.031162023544311523 Relaxation Obj: 0.5443310497361841 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 0 variables with lower and upper bounds: 1 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 3.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.43e+01 -5.0 3.66e-01 - 9.95e-01 2.73e-02h 1 2 0.0000000e+00 2.96e-01 3.94e+03 -5.0 8.87e-01 - 5.99e-01 5.54e-03h 1 3r 0.0000000e+00 2.96e-01 1.00e+03 -0.5 0.00e+00 - 0.00e+00 2.84e-08R 2 4r 0.0000000e+00 4.71e-01 9.98e+02 -0.5 1.16e+02 - 5.10e-03 2.55e-03f 1 5r 0.0000000e+00 4.54e-01 5.32e+02 -0.5 9.93e-02 - 5.60e-03 1.00e+00h 1 6r 0.0000000e+00 4.15e-01 1.23e+02 -0.5 3.97e-02 - 1.00e+00 1.00e+00f 1 7r 0.0000000e+00 4.03e-01 1.21e+00 -0.5 1.42e-02 - 1.00e+00 1.00e+00h 1 8r 0.0000000e+00 4.03e-01 2.61e-02 -1.9 5.05e-04 - 1.00e+00 1.00e+00f 1 9r 0.0000000e+00 4.03e-01 7.35e-03 -4.3 3.31e-05 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 3.87e-09 -4.3 7.13e-07 - 1.00e+00 1.00e+00h 1 11r 0.0000000e+00 4.03e-01 4.51e-04 -6.5 1.19e-07 - 1.00e+00 1.00e+00f 1 12r 0.0000000e+00 4.03e-01 1.53e-11 -6.5 4.35e-08 - 1.00e+00 1.00e+00h 1 13r 0.0000000e+00 4.03e-01 3.83e-05 -9.0 8.11e-10 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 13 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.1749207546740267e-06 2.1749207546740267e-06 Constraint violation....: 4.0324947973308023e-01 4.0324947973308023e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909090909139445e-10 9.0909090909139445e-10 Overall NLP error.......: 4.0324947973308023e-01 4.0324947973308023e-01 Number of objective function evaluations = 17 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 16 Number of Lagrangian Hessian evaluations = 14 Total seconds in IPOPT = 0.019 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 2 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 6.60e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0025752e+00 0.00e+00 3.01e-03 -5.0 5.36e-03 - 9.99e-01 1.00e+00f 1 2 1.0000000e+00 0.00e+00 3.45e-04 -5.0 5.46e-03 - 1.00e+00 9.75e-01f 1 3 1.0000100e+00 0.00e+00 7.92e-06 -5.0 5.60e-03 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.36e-08 -7.5 1.82e-04 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 4.19e-10 -9.0 1.20e-03 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908473e-01 9.9999999590908473e-01 Dual infeasibility......: 4.1852577754766179e-10 4.1852577754766179e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 8.1818305464054220e-09 8.1818305464054220e-09 Complementarity.........: 9.6638873075616875e-10 9.6638873075616875e-10 Overall NLP error.......: 9.6638873075616875e-10 9.6638873075616875e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.007 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090847 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4490742e+00 3.30e+00 8.58e-02 -1.0 3.57e-01 - 1.00e+00 1.00e+00h 1 2 2.2755650e-01 8.25e-01 1.66e+00 -1.0 3.75e+00 - 1.00e+00 7.42e-01f 1 3 3.3098130e-01 4.07e-01 3.60e+00 -1.0 5.73e-01 2.0 7.98e-01 1.35e-01h 1 4 4.8167709e-01 2.51e-01 6.93e-01 -1.0 3.11e+00 - 9.23e-01 9.15e-01h 1 5 6.4325076e-01 0.00e+00 4.35e-01 -1.7 1.82e-01 - 5.89e-01 1.00e+00h 1 6 5.8432785e-01 0.00e+00 1.04e-02 -1.7 1.07e-01 - 1.00e+00 1.00e+00h 1 7 5.4588161e-01 0.00e+00 1.44e-02 -3.8 5.60e-02 - 1.00e+00 8.48e-01f 1 8 5.4462843e-01 0.00e+00 1.66e-04 -3.8 4.58e-03 - 1.00e+00 1.00e+00f 1 9 5.4433445e-01 0.00e+00 4.01e-07 -5.7 4.87e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.88e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973717050e-01 5.4433104973717050e-01 Dual infeasibility......: 5.8794991563483915e-11 5.8794991563483915e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5310347354892312e-09 2.5310347354892312e-09 Overall NLP error.......: 2.5310347354892312e-09 2.5310347354892312e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 1.079 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310497371705 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4490742e+00 3.30e+00 8.58e-02 -1.0 3.57e-01 - 1.00e+00 1.00e+00h 1 2 2.2755650e-01 8.25e-01 1.66e+00 -1.0 3.75e+00 - 1.00e+00 7.42e-01f 1 3 3.3098130e-01 4.07e-01 3.60e+00 -1.0 5.73e-01 2.0 7.98e-01 1.35e-01h 1 4 4.8167709e-01 2.51e-01 6.93e-01 -1.0 3.11e+00 - 9.23e-01 9.15e-01h 1 5 6.4325076e-01 0.00e+00 4.35e-01 -1.7 1.82e-01 - 5.89e-01 1.00e+00h 1 6 5.8432785e-01 0.00e+00 1.04e-02 -1.7 1.07e-01 - 1.00e+00 1.00e+00h 1 7 5.4588161e-01 0.00e+00 1.44e-02 -3.8 5.60e-02 - 1.00e+00 8.48e-01f 1 8 5.4462843e-01 0.00e+00 1.66e-04 -3.8 4.58e-03 - 1.00e+00 1.00e+00f 1 9 5.4433445e-01 0.00e+00 4.01e-07 -5.7 4.87e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.88e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973717050e-01 5.4433104973717050e-01 Dual infeasibility......: 5.8794991563483915e-11 5.8794991563483915e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5310347354892312e-09 2.5310347354892312e-09 Overall NLP error.......: 2.5310347354892312e-09 2.5310347354892312e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.019 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.2345390319824219 Relaxation Obj: 0.5443310497371705 Obj: 0.5443310497371705 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 8.91e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 3.8782836e+00 0.00e+00 7.73e+00 -1.0 1.27e+01 - 1.55e-01 1.00e+00h 1 2 3.8835496e+00 0.00e+00 1.00e-06 -1.0 4.09e-02 - 1.00e+00 1.00e+00f 1 3 3.8796395e+00 0.00e+00 1.68e-07 -2.5 3.04e-02 - 1.00e+00 1.00e+00f 1 4 3.8773381e+00 0.00e+00 6.66e-08 -3.8 1.79e-02 - 1.00e+00 1.00e+00f 1 5 3.8771976e+00 0.00e+00 2.35e-10 -5.7 1.09e-03 - 1.00e+00 1.00e+00f 1 6 3.8771958e+00 0.00e+00 2.51e-14 -8.6 1.41e-05 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 6 (scaled) (unscaled) Objective...............: 3.8771957961132482e+00 3.8771957961132482e+00 Dual infeasibility......: 2.5059035587193448e-14 2.5059035587193448e-14 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5076390456074198e-09 2.5076390456074198e-09 Overall NLP error.......: 2.5076390456074198e-09 2.5076390456074198e-09 Number of objective function evaluations = 7 Number of objective gradient evaluations = 7 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 7 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 7 Number of Lagrangian Hessian evaluations = 6 Total seconds in IPOPT = 0.014 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4490742e+00 3.30e+00 8.58e-02 -1.0 3.57e-01 - 1.00e+00 1.00e+00h 1 2 2.2755650e-01 8.25e-01 1.66e+00 -1.0 3.75e+00 - 1.00e+00 7.42e-01f 1 3 3.3098130e-01 4.07e-01 3.60e+00 -1.0 5.73e-01 2.0 7.98e-01 1.35e-01h 1 4 4.8167709e-01 2.51e-01 6.93e-01 -1.0 3.11e+00 - 9.23e-01 9.15e-01h 1 5 6.4325076e-01 0.00e+00 4.35e-01 -1.7 1.82e-01 - 5.89e-01 1.00e+00h 1 6 5.8432785e-01 0.00e+00 1.04e-02 -1.7 1.07e-01 - 1.00e+00 1.00e+00h 1 7 5.4588161e-01 0.00e+00 1.44e-02 -3.8 5.60e-02 - 1.00e+00 8.48e-01f 1 8 5.4462843e-01 0.00e+00 1.66e-04 -3.8 4.58e-03 - 1.00e+00 1.00e+00f 1 9 5.4433445e-01 0.00e+00 4.01e-07 -5.7 4.87e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.88e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973717050e-01 5.4433104973717050e-01 Dual infeasibility......: 5.8794991563483915e-11 5.8794991563483915e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5310347354892312e-09 2.5310347354892312e-09 Overall NLP error.......: 2.5310347354892312e-09 2.5310347354892312e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.021 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.04195213317871094 Relaxation Obj: 0.5443310497371705 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 5.4433105e-01 7.04e-01 6.94e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 6.6970403e-01 5.51e-01 8.06e-01 -5.0 6.70e-01 - 3.07e-01 2.27e-01h 1 2 1.0000025e+00 0.00e+00 2.12e-01 -5.0 5.52e-01 - 1.00e+00 1.00e+00h 1 3 1.0000155e+00 0.00e+00 1.00e-10 -5.0 2.61e-05 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.80e-10 -7.5 3.10e-05 - 1.00e+00 1.00e+00f 1 5 1.0000000e+00 0.00e+00 9.10e-15 -9.0 5.97e-08 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908628e-01 9.9999999590908628e-01 Dual infeasibility......: 9.1038288019262836e-15 9.1038288019262836e-15 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909276142653335e-10 9.0909276142653335e-10 Overall NLP error.......: 9.0909276142653335e-10 9.0909276142653335e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.010 EXIT: Optimal Solution Found. 1 5.4663433e-01 7.70e+00 2.35e+01 -5.0 3.21e-01 - 7.86e-01 3.11e-02h 1 2 2.8448183e+00 0.00e+00 2.79e+02 -5.0 7.79e+00 - 3.71e-02 1.00e+00h 1 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090863 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 1 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.67e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.5313393e+00 3.18e+00 8.12e-02 -1.0 3.50e-01 - 1.00e+00 1.00e+00h 1 2 1.5313393e+00 0.00e+00 2.53e-01 -1.0 6.29e+00 - 1.00e+00 1.00e+00f 1 3 1.5313393e+00 0.00e+00 2.35e-02 -1.0 4.82e+00 - 1.00e+00 1.00e+00h 1 4 1.5313393e+00 0.00e+00 8.46e-03 -2.5 6.45e-02 - 1.00e+00 1.00e+00h 1 5 1.5313393e+00 0.00e+00 7.84e-05 -3.8 4.22e-03 - 1.00e+00 1.00e+00h 1 6 1.5313393e+00 0.00e+00 8.62e-07 -5.7 2.05e-03 - 1.00e+00 1.00e+00h 1 7 1.5313393e+00 0.00e+00 1.17e-09 -8.6 2.24e-04 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 7 (scaled) (unscaled) Objective...............: 1.5313392831113555e+00 1.5313392831113555e+00 Dual infeasibility......: 1.1678916883328444e-09 1.1678916883328444e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.6853912224588246e-09 2.6853912224588246e-09 Overall NLP error.......: 2.6853912224588246e-09 2.6853912224588246e-09 Number of objective function evaluations = 8 Number of objective gradient evaluations = 8 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 8 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 8 Number of Lagrangian Hessian evaluations = 7 Total seconds in IPOPT = 0.017 EXIT: Optimal Solution Found. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.72e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.4490742e+00 3.30e+00 8.58e-02 -1.0 3.57e-01 - 1.00e+00 1.00e+00h 1 2 2.2755650e-01 8.25e-01 1.66e+00 -1.0 3.75e+00 - 1.00e+00 7.42e-01f 1 3 3.3098130e-01 4.07e-01 3.60e+00 -1.0 5.73e-01 2.0 7.98e-01 1.35e-01h 1 4 4.8167709e-01 2.51e-01 6.93e-01 -1.0 3.11e+00 - 9.23e-01 9.15e-01h 1 5 6.4325076e-01 0.00e+00 4.35e-01 -1.7 1.82e-01 - 5.89e-01 1.00e+00h 1 6 5.8432785e-01 0.00e+00 1.04e-02 -1.7 1.07e-01 - 1.00e+00 1.00e+00h 1 7 5.4588161e-01 0.00e+00 1.44e-02 -3.8 5.60e-02 - 1.00e+00 8.48e-01f 1 8 5.4462843e-01 0.00e+00 1.66e-04 -3.8 4.58e-03 - 1.00e+00 1.00e+00f 1 9 5.4433445e-01 0.00e+00 4.01e-07 -5.7 4.87e-04 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.88e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 10 (scaled) (unscaled) Objective...............: 5.4433104973717050e-01 5.4433104973717050e-01 Dual infeasibility......: 5.8794991563483915e-11 5.8794991563483915e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5310347354892312e-09 2.5310347354892312e-09 Overall NLP error.......: 2.5310347354892312e-09 2.5310347354892312e-09 Number of objective function evaluations = 11 Number of objective gradient evaluations = 11 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 11 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 11 Number of Lagrangian Hessian evaluations = 10 Total seconds in IPOPT = 0.022 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 0.04696798324584961 Relaxation Obj: 0.5443310497371705 ONodes CLevel Incumbent BestBound Gap Time Restarts GainGap ============================================================================================================ This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 2 Number of nonzeros in Lagrangian Hessian.............: 1 Total number of variables............................: 1 variables with only lower bounds: 1 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 0.0000000e+00 2.96e-01 8.99e-02 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 0.0000000e+00 2.98e-01 3.46e+01 -5.0 3.66e-01 - 1.00e+00 2.73e-02h 1 2 0.0000000e+00 2.96e-01 3.98e+03 -5.0 8.87e-01 - 5.99e-01 5.52e-03h 1 3r 0.0000000e+00 2.96e-01 1.00e+03 -0.5 0.00e+00 - 0.00e+00 2.79e-08R 2 4r 0.0000000e+00 4.71e-01 9.98e+02 -0.5 1.16e+02 - 5.10e-03 2.55e-03f 1 5r 0.0000000e+00 4.54e-01 5.32e+02 -0.5 9.93e-02 - 5.60e-03 1.00e+00h 1 6r 0.0000000e+00 4.15e-01 1.23e+02 -0.5 3.97e-02 - 1.00e+00 1.00e+00f 1 7r 0.0000000e+00 4.03e-01 1.21e+00 -0.5 1.42e-02 - 1.00e+00 1.00e+00h 1 8r 0.0000000e+00 4.03e-01 2.61e-02 -1.9 5.08e-04 - 1.00e+00 1.00e+00f 1 9r 0.0000000e+00 4.03e-01 7.35e-03 -4.3 3.32e-05 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10r 0.0000000e+00 4.03e-01 3.40e-09 -4.3 7.13e-07 - 1.00e+00 1.00e+00h 1 11r 0.0000000e+00 4.03e-01 4.51e-04 -6.5 1.19e-07 - 1.00e+00 1.00e+00f 1 12r 0.0000000e+00 4.03e-01 1.20e-11 -6.5 4.35e-08 - 1.00e+00 1.00e+00h 1 13r 0.0000000e+00 4.03e-01 3.83e-05 -9.0 8.14e-10 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 13 (scaled) (unscaled) Objective...............: 0.0000000000000000e+00 0.0000000000000000e+00 Dual infeasibility......: 2.1749201757744373e-06 2.1749201757744373e-06 Constraint violation....: 4.0324947973307124e-01 4.0324947973307124e-01 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 9.0909090909139445e-10 9.0909090909139445e-10 Overall NLP error.......: 4.0324947973307124e-01 4.0324947973307124e-01 Number of objective function evaluations = 17 Number of objective gradient evaluations = 5 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 17 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 16 Number of Lagrangian Hessian evaluations = 14 Total seconds in IPOPT = 0.033 EXIT: Converged to a point of local infeasibility. Problem may be infeasible. This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 2 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0049876e+00 0.00e+00 9.83e-01 -5.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.0025722e+00 0.00e+00 2.39e-03 -5.0 5.42e-03 - 1.00e+00 1.00e+00f 1 2 1.0000000e+00 0.00e+00 3.35e-04 -5.0 5.39e-03 - 1.00e+00 9.76e-01f 1 3 1.0000100e+00 0.00e+00 8.69e-06 -5.0 6.50e-03 - 1.00e+00 1.00e+00f 1 4 1.0000000e+00 0.00e+00 1.46e-08 -7.5 2.04e-04 - 1.00e+00 1.00e+00h 1 5 1.0000000e+00 0.00e+00 4.58e-10 -9.0 1.31e-03 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 5 (scaled) (unscaled) Objective...............: 9.9999999590908450e-01 9.9999999590908450e-01 Dual infeasibility......: 4.5778951495288083e-10 4.5778951495288083e-10 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 8.1818309904946318e-09 8.1818309904946318e-09 Complementarity.........: 9.7198383787050430e-10 9.7198383787050430e-10 Overall NLP error.......: 9.7198383787050430e-10 9.7198383787050430e-10 Number of objective function evaluations = 6 Number of objective gradient evaluations = 6 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 6 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 6 Number of Lagrangian Hessian evaluations = 5 Total seconds in IPOPT = 0.011 EXIT: Optimal Solution Found. 0 2 1.0 0.54 45.57% 0.0 0 - #branches: 1 Obj: 0.9999999959090845 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 2 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.02e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.3152082e+00 3.48e+00 4.58e-01 -1.0 6.76e-01 - 9.28e-01 1.00e+00h 1 2 2.3233168e-01 1.69e+00 1.63e+00 -1.0 3.10e+00 - 6.81e-01 5.41e-01f 1 3 7.6681915e-01 0.00e+00 1.15e+01 -1.0 5.34e-01 0.0 7.94e-02 1.00e+00h 1 4 1.0221640e+00 3.50e-01 2.63e+01 -1.0 4.57e-01 1.3 1.00e+00 1.00e+00h 1 5 1.2744385e+00 0.00e+00 1.05e+00 -1.0 5.79e-01 - 1.00e+00 1.00e+00h 1 6 2.8189586e-01 2.49e-01 1.22e+00 -1.0 7.46e+00 - 1.00e+00 2.16e-01f 1 7 3.7611839e-01 1.60e-01 1.46e+00 -1.0 1.11e+01 - 9.47e-03 7.81e-03h 8 8 7.2167068e-01 0.00e+00 2.30e+00 -1.0 3.79e-01 0.9 1.00e+00 1.00e+00h 1 9 7.5161527e-01 0.00e+00 1.45e-01 -1.0 5.80e-02 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4633758e-01 2.01e-03 9.12e-02 -2.5 4.36e-01 - 9.89e-01 7.81e-01f 1 11 5.5002805e-01 0.00e+00 1.34e-03 -2.5 1.08e-02 - 1.00e+00 1.00e+00h 1 12 5.4458379e-01 0.00e+00 1.34e-04 -3.8 8.43e-03 - 1.00e+00 1.00e+00h 1 13 5.4433461e-01 0.00e+00 2.88e-07 -5.7 4.58e-04 - 1.00e+00 1.00e+00h 1 14 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.95e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 14 (scaled) (unscaled) Objective...............: 5.4433104975650781e-01 5.4433104975650781e-01 Dual infeasibility......: 5.8836496508612802e-11 5.8836496508612802e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5060492882576081e-09 2.5060492882576081e-09 Overall NLP error.......: 2.5060492882576081e-09 2.5060492882576081e-09 Number of objective function evaluations = 23 Number of objective gradient evaluations = 15 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 23 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 15 Number of Lagrangian Hessian evaluations = 14 Total seconds in IPOPT = 1.082 EXIT: Optimal Solution Found. Incumbent using start values: 0.5443310497565078 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 2 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 1.02e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.3152082e+00 3.48e+00 4.58e-01 -1.0 6.76e-01 - 9.28e-01 1.00e+00h 1 2 2.3233168e-01 1.69e+00 1.63e+00 -1.0 3.10e+00 - 6.81e-01 5.41e-01f 1 3 7.6681915e-01 0.00e+00 1.15e+01 -1.0 5.34e-01 0.0 7.94e-02 1.00e+00h 1 4 1.0221640e+00 3.50e-01 2.63e+01 -1.0 4.57e-01 1.3 1.00e+00 1.00e+00h 1 5 1.2744385e+00 0.00e+00 1.05e+00 -1.0 5.79e-01 - 1.00e+00 1.00e+00h 1 6 2.8189586e-01 2.49e-01 1.22e+00 -1.0 7.46e+00 - 1.00e+00 2.16e-01f 1 7 3.7611839e-01 1.60e-01 1.46e+00 -1.0 1.11e+01 - 9.47e-03 7.81e-03h 8 8 7.2167068e-01 0.00e+00 2.30e+00 -1.0 3.79e-01 0.9 1.00e+00 1.00e+00h 1 9 7.5161527e-01 0.00e+00 1.45e-01 -1.0 5.80e-02 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4633758e-01 2.01e-03 9.12e-02 -2.5 4.36e-01 - 9.89e-01 7.81e-01f 1 11 5.5002805e-01 0.00e+00 1.34e-03 -2.5 1.08e-02 - 1.00e+00 1.00e+00h 1 12 5.4458379e-01 0.00e+00 1.34e-04 -3.8 8.43e-03 - 1.00e+00 1.00e+00h 1 13 5.4433461e-01 0.00e+00 2.88e-07 -5.7 4.58e-04 - 1.00e+00 1.00e+00h 1 14 5.4433105e-01 0.00e+00 5.88e-11 -8.6 5.95e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 14 (scaled) (unscaled) Objective...............: 5.4433104975650781e-01 5.4433104975650781e-01 Dual infeasibility......: 5.8836496508612802e-11 5.8836496508612802e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5060492882576081e-09 2.5060492882576081e-09 Overall NLP error.......: 2.5060492882576081e-09 2.5060492882576081e-09 Number of objective function evaluations = 23 Number of objective gradient evaluations = 15 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 23 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 15 Number of Lagrangian Hessian evaluations = 14 Total seconds in IPOPT = 0.027 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.2368130683898926 Relaxation Obj: 0.5443310497565078 Obj: 0.5443310497565078 nl_solver : MathOptInterface.OptimizerWithAttributes(IpoptMathOptInterfaceExt.Optimizer, Pair{MathOptInterface.AbstractOptimizerAttribute, Any}[MathOptInterface.RawOptimizerAttribute("jac_c_constant") => "no", MathOptInterface.RawOptimizerAttribute("jac_d_constant") => "no", MathOptInterface.RawOptimizerAttribute("hessian_approximation") => "exact"]) feasibility_pump : false log_levels : [:Options, :Table, :Info] #Variables: 2 #IntBinVar: 0 Obj Sense: Min This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.2651266e+00 3.55e+00 1.22e-01 -1.0 8.05e-01 - 9.84e-01 1.00e+00h 1 2 2.5789869e-01 2.63e-01 1.36e+00 -1.0 9.93e+00 - 1.00e+00 6.17e-01f 1 3 3.7666621e-01 2.75e-01 2.15e+01 -1.0 1.98e+00 2.0 1.00e+00 3.81e-02h 1 4 6.5032938e-01 0.00e+00 7.56e-01 -1.0 5.90e+00 - 9.89e-01 1.00e+00h 1 5 6.6128824e-01 0.00e+00 1.44e+00 -1.7 4.33e-02 1.5 1.00e+00 1.00e+00f 1 6 5.4849577e-01 4.52e-02 3.35e-01 -1.7 3.38e-01 - 1.00e+00 8.29e-01f 1 7 6.0093934e-01 0.00e+00 1.93e-02 -1.7 1.25e-01 - 1.00e+00 1.00e+00f 1 8 5.4624835e-01 6.43e-04 1.13e-02 -2.5 1.20e-01 - 1.00e+00 9.77e-01h 1 9 5.4463069e-01 0.00e+00 1.08e-04 -3.8 9.83e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433459e-01 0.00e+00 4.07e-07 -5.7 5.22e-04 - 1.00e+00 1.00e+00h 1 11 5.4433105e-01 0.00e+00 5.82e-11 -8.6 5.97e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 5.4433104975581004e-01 5.4433104975581004e-01 Dual infeasibility......: 5.8172133776679402e-11 5.8172133776679402e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5020610141602264e-09 2.5020610141602264e-09 Overall NLP error.......: 2.5020610141602264e-09 2.5020610141602264e-09 Number of objective function evaluations = 12 Number of objective gradient evaluations = 12 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 12 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 11 Total seconds in IPOPT = 1.116 EXIT: Optimal Solution Found. Incumbent using start values: 0.54433104975581 This is Ipopt version 3.14.17, running with linear solver MUMPS 5.8.0. Number of nonzeros in equality constraint Jacobian...: 0 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 3 Total number of variables............................: 2 variables with only lower bounds: 0 variables with lower and upper bounds: 0 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 2 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 2 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.5313393e+00 1.27e+01 9.97e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.2651266e+00 3.55e+00 1.22e-01 -1.0 8.05e-01 - 9.84e-01 1.00e+00h 1 2 2.5789869e-01 2.63e-01 1.36e+00 -1.0 9.93e+00 - 1.00e+00 6.17e-01f 1 3 3.7666621e-01 2.75e-01 2.15e+01 -1.0 1.98e+00 2.0 1.00e+00 3.81e-02h 1 4 6.5032938e-01 0.00e+00 7.56e-01 -1.0 5.90e+00 - 9.89e-01 1.00e+00h 1 5 6.6128824e-01 0.00e+00 1.44e+00 -1.7 4.33e-02 1.5 1.00e+00 1.00e+00f 1 6 5.4849577e-01 4.52e-02 3.35e-01 -1.7 3.38e-01 - 1.00e+00 8.29e-01f 1 7 6.0093934e-01 0.00e+00 1.93e-02 -1.7 1.25e-01 - 1.00e+00 1.00e+00f 1 8 5.4624835e-01 6.43e-04 1.13e-02 -2.5 1.20e-01 - 1.00e+00 9.77e-01h 1 9 5.4463069e-01 0.00e+00 1.08e-04 -3.8 9.83e-03 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 5.4433459e-01 0.00e+00 4.07e-07 -5.7 5.22e-04 - 1.00e+00 1.00e+00h 1 11 5.4433105e-01 0.00e+00 5.82e-11 -8.6 5.97e-06 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 11 (scaled) (unscaled) Objective...............: 5.4433104975581004e-01 5.4433104975581004e-01 Dual infeasibility......: 5.8172133776679402e-11 5.8172133776679402e-11 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Variable bound violation: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 2.5020610141602264e-09 2.5020610141602264e-09 Overall NLP error.......: 2.5020610141602264e-09 2.5020610141602264e-09 Number of objective function evaluations = 12 Number of objective gradient evaluations = 12 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 12 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 12 Number of Lagrangian Hessian evaluations = 11 Total seconds in IPOPT = 0.028 EXIT: Optimal Solution Found. Status of relaxation: LOCALLY_SOLVED Time for relaxation: 1.2792999744415283 Relaxation Obj: 0.54433104975581 Obj: 0.54433104975581 Test Summary: | Pass Total Time First order - false | 20 20 1m25.5s Testing NonconvexJuniper tests passed Testing completed after 393.94s PkgEval succeeded after 447.57s