CUTEst Unbounded Constrained Optimization.jl Benchmarks
CUTEst Unbounded Constrained Optimization.jl Benchmarks
This benchmark runs constrained CUTEst problems with free variables through the Optimization.jl interface using OptimizationNLPModels.
ENV["GKSwstype"] = "100"
using CUTEst
using DataFrames
using Plots
using StatsPlots
using StatsBase: countmap
using Statistics
using Printf
include(joinpath(isdefined(Main, :WEAVE_ARGS) ? WEAVE_ARGS[:folder] : @__DIR__,
"cutest_benchmark_utils.jl"))
unbounded_equality_problems = select_safe_problems(
collect(CUTEst.select_sif_problems(min_con = 1, only_equ_con = true,
only_free_var = true))
)
unbounded_inequality_problems = select_safe_problems(
collect(CUTEst.select_sif_problems(min_con = 1, only_ineq_con = true,
only_free_var = true))
)
println("Selected unbounded equality-constrained problems: ",
length(unbounded_equality_problems))
println("Selected unbounded inequality-constrained problems: ",
length(unbounded_inequality_problems))
unbounded_results = vcat(
run_benchmarks("unbounded equality constrained", unbounded_equality_problems,
CONSTRAINED_SOLVERS),
run_benchmarks("unbounded inequality constrained", unbounded_inequality_problems,
CONSTRAINED_SOLVERS),
)
display(unbounded_results)
unbounded_summary = summarize_results(unbounded_results)
plot_solve_times(unbounded_results, "CUTEst unbounded constrained Optimization.jl solve time")
plot_success_rates(unbounded_summary,
"CUTEst unbounded constrained Optimization.jl success rate")Selected unbounded equality-constrained problems: 50
Selected unbounded inequality-constrained problems: 50
Running unbounded equality constrained benchmarks
Problems: 50
Solvers: Ipopt
Ipopt GAUSS2
***************************************************************************
***
This program contains Ipopt, a library for large-scale nonlinear optimizati
on.
Ipopt is released as open source code under the Eclipse Public License (EP
L).
For more information visit https://github.com/coin-or/Ipopt
***************************************************************************
***
OK Failure 0.478s
Ipopt WAYSEA1NE OK Success 0.079s
Ipopt BROWNDENE OK Failure 0.002s
Ipopt HS79 OK Success 0.011s
Ipopt GULFNE OK Failure 0.002s
Ipopt JUDGENE OK Failure 0.002s
Ipopt STRTCHDVNE OK Success 0.011s
Ipopt TRIGON1NE OK Success 0.004s
Ipopt PENLT1NE OK Failure 0.002s
Ipopt BA-L1SP OK Success 0.008s
Ipopt EXPFITNE OK Failure 0.002s
Ipopt SSINE OK Success 0.416s
Ipopt LUKSAN17 OK Failure 0.008s
Ipopt HS7 OK Success 0.008s
Ipopt BOX3NE OK Failure 0.002s
Ipopt KSS OK Success 5.282s
Ipopt HS48 OK Success 0.010s
Ipopt BT9 OK Success 0.013s
Ipopt S308NE OK Failure 0.002s
Ipopt MGH17S OK Failure 0.002s
Ipopt DENSCHNDNE OK Success 0.020s
Ipopt CERI651B OK Failure 0.002s
Ipopt THURBER OK Failure 0.002s
Ipopt CERI651E OK Failure 0.002s
Ipopt ENSO OK Failure 0.003s
Ipopt BARDNE OK Failure 0.002s
Ipopt GOTTFR OK Success 0.005s
Ipopt STREGNE OK Success 0.004s
Ipopt PENLT2NE OK Failure 0.002s
Ipopt HS42 OK Success 0.010s
Ipopt HS27 OK Success 0.024s
Ipopt DENSCHNBNE OK Failure 0.002s
Ipopt DIXCHLNG OK Success 0.021s
Ipopt VARDIMNE OK Failure 0.002s
Ipopt COATINGNE OK Failure 0.018s
Ipopt HIMMELBE OK Success 0.003s
Ipopt CHWIRUT1 OK Failure 0.002s
Ipopt CERI651A OK Failure 0.002s
Ipopt MISRA1C OK Failure 0.002s
Ipopt SPIN2 OK Success 0.035s
Ipopt HATFLDG OK Success 0.008s
Ipopt BT11 OK Success 0.012s
Ipopt SPIN2OP OK Success 0.046s
Ipopt MARATOS OK Success 0.004s
Ipopt JENSMPNE OK Failure 0.002s
Ipopt MANCINONE OK Success 0.031s
Ipopt LSC1 OK Failure 0.002s
Ipopt CHWIRUT2 OK Failure 0.002s
Ipopt BT6 OK Success 0.021s
Ipopt ORTHREGB OK Success 0.007s
Running unbounded inequality constrained benchmarks
Problems: 50
Solvers: Ipopt
Ipopt POLAK4 OK Success 0.007s
Ipopt EXPFITA OK Success 0.043s
Ipopt S268 OK Success 0.098s
Ipopt MIFFLIN1 OK Success 0.009s
Ipopt HAIFAS OK Success 0.013s
Ipopt GIGOMEZ1 OK Success 0.012s
Ipopt EXPFITC OK Success 0.257s
Ipopt GMNCASE4 OK Success 0.158s
Ipopt GIGOMEZ2 OK Success 0.011s
Ipopt DEMYMALO OK Success 0.011s
Ipopt CHACONN1 OK Success 0.007s
Ipopt LHAIFAM OK Failure 0.012s
Ipopt TFI1 OK Success 0.068s
Ipopt KIWCRESC OK Success 0.011s
Ipopt HS100 OK Success 0.011s
Ipopt WOMFLET OK Success 0.022s
Ipopt POLAK3 OK MaxIters 0.687s
Ipopt HS113 OK Success 0.019s
Ipopt GIGOMEZ3 OK Success 0.009s
Ipopt TFI3 OK Success 0.062s
Ipopt MINMAXBD OK Success 0.046s
Ipopt HS10 OK Success 0.013s
Ipopt HS43 OK Success 0.012s
Ipopt MAKELA2 OK Success 0.010s
Ipopt GMNCASE1 OK Success 0.975s
Ipopt DIPIGRI OK Success 0.023s
Ipopt MIFFLIN2 OK Success 0.013s
Ipopt HS91 OK Success 0.057s
Ipopt EXPFITB OK Success 0.079s
Ipopt CHACONN2 OK Success 0.009s
Ipopt TFI2 OK Success 0.019s
Ipopt HALDMADS OK Success 0.048s
Ipopt ROSENMMX OK Success 0.041s
Ipopt SPIRAL OK MaxIters 0.507s
Ipopt CB2 OK Success 0.011s
Ipopt ELATTAR OK Success 0.233s
Ipopt HS88 OK Success 0.031s
Ipopt MAKELA3 OK Success 0.017s
Ipopt GOFFIN OK Success 0.019s
Ipopt HS100MOD OK Success 0.028s
Ipopt MADSEN OK Success 0.008s
Ipopt POLAK6 OK MaxIters 0.665s
Ipopt HS90 OK Success 0.045s
Ipopt HS11 OK Success 0.007s
Ipopt HS29 OK Success 0.016s
Ipopt POLAK1 OK Success 0.013s
Ipopt MAKELA4 OK Success 0.010s
Ipopt SNAKE OK Success 0.008s
Ipopt POLAK2 OK MaxIters 0.744s
Ipopt HS92 OK Success 0.078s
100×7 DataFrame
Row │ category problem solver n_vars secs
⋯
│ String String String Int64 Float6
4 ⋯
─────┼─────────────────────────────────────────────────────────────────────
─────
1 │ unbounded equality constrained GAUSS2 Ipopt 8 0.4781
81 ⋯
2 │ unbounded equality constrained WAYSEA1NE Ipopt 2 0.0790
42
3 │ unbounded equality constrained BROWNDENE Ipopt 4 0.0019
409
4 │ unbounded equality constrained HS79 Ipopt 5 0.0109
67
5 │ unbounded equality constrained GULFNE Ipopt 3 0.0018
830 ⋯
6 │ unbounded equality constrained JUDGENE Ipopt 2 0.0016
400
7 │ unbounded equality constrained STRTCHDVNE Ipopt 10 0.0111
06
8 │ unbounded equality constrained TRIGON1NE Ipopt 10 0.0041
480
⋮ │ ⋮ ⋮ ⋮ ⋮ ⋮
⋱
94 │ unbounded inequality constrained HS11 Ipopt 2 0.0073
7 ⋯
95 │ unbounded inequality constrained HS29 Ipopt 3 0.0161
381
96 │ unbounded inequality constrained POLAK1 Ipopt 3 0.0126
55
97 │ unbounded inequality constrained MAKELA4 Ipopt 21 0.0100
57
98 │ unbounded inequality constrained SNAKE Ipopt 2 0.0082
709 ⋯
99 │ unbounded inequality constrained POLAK2 Ipopt 11 0.7440
33
100 │ unbounded inequality constrained HS92 Ipopt 6 0.0780
54
3 columns and 85 rows om
itted
Return code distribution:
Success: 70
Failure: 26
MaxIters: 4
Summary:
2×8 DataFrame
Row │ category solver completed_runs successful
_ru ⋯
│ String String Int64 Int64
⋯
─────┼─────────────────────────────────────────────────────────────────────
─────
1 │ unbounded equality constrained Ipopt 50
⋯
2 │ unbounded inequality constrained Ipopt 50
5 columns om
itted
Appendix
These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: https://github.com/SciML/SciMLBenchmarks.jl. For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization https://sciml.ai.
To locally run this benchmark, do the following commands:
using SciMLBenchmarks
SciMLBenchmarks.weave_file("benchmarks/OptimizationCUTEst","CUTEst_unbounded.jmd")Computer Information:
Julia Version 1.12.7
Commit 6d172b025e4 (2026-08-15 08:05 UTC)
Build Info:
Official https://julialang.org release
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: 128 × AMD EPYC 7502 32-Core Processor
WORD_SIZE: 64
LLVM: libLLVM-18.1.7 (ORCJIT, znver2)
GC: Built with stock GC
Threads: 128 default, 1 interactive, 128 GC (on 128 virtual cores)
Environment:
JULIA_DEPOT_PATH = /home/crackauc/github-runners/amdci8-1/.julia
JULIA_NUM_THREADS = auto
Package Information:
Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/OptimizationCUTEst/Project.toml`
⌃ [1b53aba6] CUTEst v1.3.7
[a93c6f00] DataFrames v1.8.2
⌃ [b6b21f68] Ipopt v1.14.3
⌃ [b8f27783] MathOptInterface v1.51.0
[a4795742] NLPModels v0.21.12
⌃ [7f7a1694] Optimization v5.4.0
⌅ [fd9f6733] OptimizationMOI v0.5.11
⌃ [064b21be] OptimizationNLPModels v1.1.0
⌃ [36348300] OptimizationOptimJL v0.4.9
⌃ [42dfb2eb] OptimizationOptimisers v0.3.15
⌃ [91a5bcdd] Plots v1.41.6
⌃ [31c91b34] SciMLBenchmarks v0.1.3 [loaded: v0.2.1]
⌃ [10745b16] Statistics v1.11.1
⌃ [2913bbd2] StatsBase v0.34.10
[f3b207a7] StatsPlots v0.15.8
[de0858da] Printf v1.11.0
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`And the full manifest:
Status `~/github-runners/amdci8-1/_work/SciMLBenchmarks.jl/SciMLBenchmarks.jl/benchmarks/OptimizationCUTEst/Manifest.toml`
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⌃ [d3d80556] LineSearches v7.7.1
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⌅ [7ed4a6bd] LinearSolve v3.82.0
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[41fe7b60] Unzip v0.2.0
[81def892] VersionParsing v1.3.0
[44d3d7a6] Weave v0.10.12
⌃ [cc8bc4a8] Widgets v0.6.7
[efce3f68] WoodburyMatrices v1.1.0
[ddb6d928] YAML v0.4.16
[c2297ded] ZMQ v1.5.1
⌃ [ae81ac8f] ASL_jll v0.1.3+0
⌅ [68821587] Arpack_jll v3.5.2+0
[6e34b625] Bzip2_jll v1.0.9+0
⌃ [bb5f6f25] CUTEst_jll v2.6.0+0
[83423d85] Cairo_jll v1.18.7+0
[ee1fde0b] Dbus_jll v1.16.2+0
[2702e6a9] EpollShim_jll v0.0.20230411+1
⌃ [2e619515] Expat_jll v2.8.1+0
⌅ [b22a6f82] FFMPEG_jll v8.1.0+0
[a3f928ae] Fontconfig_jll v2.17.1+0
[d7e528f0] FreeType2_jll v2.14.3+1
[559328eb] FriBidi_jll v1.0.17+0
⌃ [0656b61e] GLFW_jll v3.4.1+1
⌅ [d2c73de3] GR_jll v0.73.24+0
⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
[61579ee1] Ghostscript_jll v9.55.1+0
[020c3dae] Git_LFS_jll v3.7.1+0
⌃ [f8c6e375] Git_jll v2.54.0+0
⌃ [7746bdde] Glib_jll v2.86.3+0
⌃ [3b182d85] Graphite2_jll v1.3.15+0
⌅ [2e76f6c2] HarfBuzz_jll v8.5.1+0
⌃ [e33a78d0] Hwloc_jll v2.13.0+1
[1d5cc7b8] IntelOpenMP_jll v2025.2.0+0
⌅ [9cc047cb] Ipopt_jll v300.1400.1901+0
⌃ [aacddb02] JpegTurbo_jll v3.1.5+0
[c1c5ebd0] LAME_jll v3.100.3+0
⌃ [88015f11] LERC_jll v4.1.0+0
⌃ [1d63c593] LLVMOpenMP_jll v18.1.8+0
⌅ [e9f186c6] Libffi_jll v3.4.7+0
[7e76a0d4] Libglvnd_jll v1.7.1+1
[94ce4f54] Libiconv_jll v1.18.0+0
[4b2f31a3] Libmount_jll v2.42.0+0
⌃ [89763e89] Libtiff_jll v4.7.2+0
[38a345b3] Libuuid_jll v2.42.0+0
[d00139f3] METIS_jll v5.1.3+0
[856f044c] MKL_jll v2025.2.0+0
⌅ [d7ed1dd3] MUMPS_seq_jll v500.800.200+0
[c8ffd9c3] MbedTLS_jll v2.28.1010+0
[e7412a2a] Ogg_jll v1.3.6+0
⌃ [656ef2d0] OpenBLAS32_jll v0.3.33+1
⌃ [9bd350c2] OpenSSH_jll v10.3.1+0
[efe28fd5] OpenSpecFun_jll v0.5.6+0
[91d4177d] Opus_jll v1.6.1+0
⌃ [36c8627f] Pango_jll v1.57.1+0
[30392449] Pixman_jll v0.46.4+0
[c0090381] Qt6Base_jll v6.10.2+2
⌃ [629bc702] Qt6Declarative_jll v6.10.2+1
[ce943373] Qt6ShaderTools_jll v6.10.2+1
[6de9746b] Qt6Svg_jll v6.10.2+0
[e99dba38] Qt6Wayland_jll v6.10.2+1
⌃ [f50d1b31] Rmath_jll v0.5.1+0
⌃ [54dcf436] SIFDecode_jll v3.1.0+0
⌃ [319450e9] SPRAL_jll v2025.9.18+0
[a44049a8] Vulkan_Loader_jll v1.3.243+0
[a2964d1f] Wayland_jll v1.24.0+0
⌅ [02c8fc9c] XML2_jll v2.13.9+0
[ffd25f8a] XZ_jll v5.8.3+0
[f67eecfb] Xorg_libICE_jll v1.1.2+0
[c834827a] Xorg_libSM_jll v1.2.6+0
[4f6342f7] Xorg_libX11_jll v1.8.13+0
[0c0b7dd1] Xorg_libXau_jll v1.0.13+0
[935fb764] Xorg_libXcursor_jll v1.2.4+0
[a3789734] Xorg_libXdmcp_jll v1.1.6+0
[1082639a] Xorg_libXext_jll v1.3.8+0
[d091e8ba] Xorg_libXfixes_jll v6.0.2+0
⌃ [a51aa0fd] Xorg_libXi_jll v1.8.3+0
[d1454406] Xorg_libXinerama_jll v1.1.7+0
[ec84b674] Xorg_libXrandr_jll v1.5.6+0
[ea2f1a96] Xorg_libXrender_jll v0.9.12+0
[a65dc6b1] Xorg_libpciaccess_jll v0.19.0+0
[c7cfdc94] Xorg_libxcb_jll v1.17.1+0
[cc61e674] Xorg_libxkbfile_jll v1.2.0+0
[e920d4aa] Xorg_xcb_util_cursor_jll v0.1.6+0
[12413925] Xorg_xcb_util_image_jll v0.4.1+0
[2def613f] Xorg_xcb_util_jll v0.4.1+0
[975044d2] Xorg_xcb_util_keysyms_jll v0.4.1+0
[0d47668e] Xorg_xcb_util_renderutil_jll v0.3.10+0
[c22f9ab0] Xorg_xcb_util_wm_jll v0.4.2+0
[35661453] Xorg_xkbcomp_jll v1.4.7+0
⌃ [33bec58e] Xorg_xkeyboard_config_jll v2.47.0+1
[c5fb5394] Xorg_xtrans_jll v1.6.0+0
[8f1865be] ZeroMQ_jll v4.3.6+0
[3161d3a3] Zstd_jll v1.5.7+1
[35ca27e7] eudev_jll v3.2.14+0
⌅ [214eeab7] fzf_jll v0.61.1+0
⌃ [a4ae2306] libaom_jll v3.13.3+0
⌃ [0ac62f75] libass_jll v0.17.4+0
[1183f4f0] libdecor_jll v0.2.2+0
⌃ [8e53e030] libdrm_jll v2.4.125+1
[2db6ffa8] libevdev_jll v1.13.4+0
[f638f0a6] libfdk_aac_jll v2.0.4+0
[36db933b] libinput_jll v1.28.1+0
[b53b4c65] libpng_jll v1.6.58+0
[a9144af2] libsodium_jll v1.0.21+0
[9a156e7d] libva_jll v2.23.0+0
[f27f6e37] libvorbis_jll v1.3.8+0
[009596ad] mtdev_jll v1.1.7+0
[1317d2d5] oneTBB_jll v2022.3.0+0
⌅ [1270edf5] x264_jll v10164.0.1+0
[dfaa095f] x265_jll v4.1.0+0
[d8fb68d0] xkbcommon_jll v1.13.0+0
[0dad84c5] ArgTools v1.1.2
[56f22d72] Artifacts v1.11.0
[2a0f44e3] Base64 v1.11.0
[ade2ca70] Dates v1.11.0
[8ba89e20] Distributed v1.11.0
[f43a241f] Downloads v1.7.0
[7b1f6079] FileWatching v1.11.0
[9fa8497b] Future v1.11.0
[b77e0a4c] InteractiveUtils v1.11.0
[ac6e5ff7] JuliaSyntaxHighlighting v1.12.0
[4af54fe1] LazyArtifacts v1.11.0
[b27032c2] LibCURL v0.6.4
[76f85450] LibGit2 v1.11.0
[8f399da3] Libdl v1.11.0
[37e2e46d] LinearAlgebra v1.12.0
[56ddb016] Logging v1.11.0
[d6f4376e] Markdown v1.11.0
[a63ad114] Mmap v1.11.0
[ca575930] NetworkOptions v1.3.0
[44cfe95a] Pkg v1.12.1
[de0858da] Printf v1.11.0
[3fa0cd96] REPL 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 v1.12.0
[f489334b] StyledStrings 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 v1.3.0+1
[deac9b47] LibCURL_jll v8.15.0+0
[e37daf67] LibGit2_jll v1.9.0+0
[29816b5a] LibSSH2_jll v1.11.3+1
[14a3606d] MozillaCACerts_jll v2025.11.4
[4536629a] OpenBLAS_jll v0.3.29+0
[05823500] OpenLibm_jll v0.8.7+0
[458c3c95] OpenSSL_jll v3.5.4+0
[efcefdf7] PCRE2_jll v10.44.0+1
[bea87d4a] SuiteSparse_jll v7.8.3+2
[83775a58] Zlib_jll v1.3.1+2
[8e850b90] libblastrampoline_jll v5.15.0+0
[8e850ede] nghttp2_jll v1.64.0+1
[3f19e933] p7zip_jll v17.7.0+0
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`