Package evaluation to test SDPLRPlus on Julia 1.14.0-DEV.1886 (984ad247db*) started at 2026-03-12T20:10:37.297 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 14.13s ################################################################################ # Installation # Installing SDPLRPlus... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [9040bce9] + SDPLRPlus v0.2.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [6e4b80f9] + BenchmarkTools v1.6.3 [523fee87] + CodecBzip2 v0.8.5 [944b1d66] + CodecZlib v0.7.8 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.18.1 [187b0558] + ConstructionBase v1.6.0 [a8cc5b0e] + Crayons v4.1.1 [9a962f9c] + DataAPI v1.16.0 [e2d170a0] + DataValueInterfaces v1.0.0 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [ffbed154] + DocStringExtensions v0.9.5 [e2ba6199] + ExprTools v0.1.10 [9aa1b823] + FastClosures v0.3.2 [1a297f60] + FillArrays v1.16.0 [f6369f11] + ForwardDiff v1.3.2 [408c25d7] + GenericArpack v0.2.1 [92d709cd] + IrrationalConstants v0.2.6 [82899510] + IteratorInterfaceExtensions v1.0.0 [692b3bcd] + JLLWrappers v1.7.1 [682c06a0] + JSON v1.4.0 [4076af6c] + JuMP v1.30.0 ⌅ [0b1a1467] + KrylovKit v0.9.5 [b964fa9f] + LaTeXStrings v1.4.0 [5c8ed15e] + LinearOperators v2.13.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [607ca3ad] + LowRankOpt v0.2.1 [d05aeea4] + LuxurySparse v0.8.1 [33e6dc65] + MKL v0.9.1 [0c723cd3] + MKLSparse v3.0.0 [1914dd2f] + MacroTools v0.5.16 [b8f27783] + MathOptInterface v1.49.0 [d8a4904e] + MutableArithmetics v1.6.7 [a4795742] + NLPModels v0.21.11 [792afdf1] + NLPModelsJuMP v0.13.5 [77ba4419] + NaNMath v1.1.3 [bac558e1] + OrderedCollections v1.8.1 [65ce6f38] + PackageExtensionCompat v1.0.2 [d96e819e] + Parameters v0.12.3 [69de0a69] + Parsers v2.8.3 [3a141323] + PolynomialRoots v1.0.0 [f27b6e38] + Polynomials v4.1.1 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.2 [08abe8d2] + PrettyTables v3.2.3 [189a3867] + Reexport v1.2.2 [9040bce9] + SDPLRPlus v0.2.0 [efcf1570] + Setfield v1.1.2 [ff4d7338] + SolverCore v0.3.10 [276daf66] + SpecialFunctions v2.7.1 [90137ffa] + StaticArrays v1.9.18 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [892a3eda] + StringManipulation v0.4.4 [ec057cc2] + StructUtils v2.6.3 [3783bdb8] + TableTraits v1.0.1 [bd369af6] + Tables v1.12.1 [a759f4b9] + TimerOutputs v0.5.29 [3bb67fe8] + TranscodingStreams v0.11.3 [3a884ed6] + UnPack v1.0.2 [c4a57d5a] + UnsafeArrays v1.0.8 [409d34a3] + VectorInterface v0.5.0 [6e34b625] + Bzip2_jll v1.0.9+0 [1d5cc7b8] + IntelOpenMP_jll v2025.2.0+0 [856f044c] + MKL_jll v2025.2.0+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [1317d2d5] + oneTBB_jll v2022.0.0+1 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates 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 v1.13.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.14.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [3fa0cd96] + REPL v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.13.0 [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 v8.18.0+1 [e37daf67] + LibGit2_jll v1.9.2+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [14a3606d] + MozillaCACerts_jll v2025.12.2 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.5+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.2+0 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.68.0+1 [3f19e933] + p7zip_jll v17.8.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 6.24s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 21978.3 ms ✓ SDPLRPlus 1 dependency successfully precompiled in 25 seconds. 126 already precompiled. Precompilation completed after 50.47s ################################################################################ # Testing # Testing SDPLRPlus Status `/tmp/jl_BQiQZu/Project.toml` [6a86dc24] FiniteDiff v2.29.0 [d05aeea4] LuxurySparse v0.8.1 [9040bce9] SDPLRPlus v0.2.0 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [2f01184e] SparseArrays v1.13.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_BQiQZu/Manifest.toml` [79e6a3ab] Adapt v4.5.0 [4fba245c] ArrayInterface v7.23.0 [6e4b80f9] BenchmarkTools v1.6.3 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.8 [bbf7d656] CommonSubexpressions v0.3.1 [34da2185] Compat v4.18.1 [187b0558] ConstructionBase v1.6.0 [a8cc5b0e] Crayons v4.1.1 [9a962f9c] DataAPI v1.16.0 [e2d170a0] DataValueInterfaces v1.0.0 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [e2ba6199] ExprTools v0.1.10 [9aa1b823] FastClosures v0.3.2 [1a297f60] FillArrays v1.16.0 [6a86dc24] FiniteDiff v2.29.0 [f6369f11] ForwardDiff v1.3.2 [408c25d7] GenericArpack v0.2.1 [92d709cd] IrrationalConstants v0.2.6 [82899510] IteratorInterfaceExtensions v1.0.0 [692b3bcd] JLLWrappers v1.7.1 [682c06a0] JSON v1.4.0 [4076af6c] JuMP v1.30.0 ⌅ [0b1a1467] KrylovKit v0.9.5 [b964fa9f] LaTeXStrings v1.4.0 [5c8ed15e] LinearOperators v2.13.0 [2ab3a3ac] LogExpFunctions v0.3.29 [607ca3ad] LowRankOpt v0.2.1 [d05aeea4] LuxurySparse v0.8.1 [33e6dc65] MKL v0.9.1 [0c723cd3] MKLSparse v3.0.0 [1914dd2f] MacroTools v0.5.16 [b8f27783] MathOptInterface v1.49.0 [d8a4904e] MutableArithmetics v1.6.7 [a4795742] NLPModels v0.21.11 [792afdf1] NLPModelsJuMP v0.13.5 [77ba4419] NaNMath v1.1.3 [bac558e1] OrderedCollections v1.8.1 [65ce6f38] PackageExtensionCompat v1.0.2 [d96e819e] Parameters v0.12.3 [69de0a69] Parsers v2.8.3 [3a141323] PolynomialRoots v1.0.0 [f27b6e38] Polynomials v4.1.1 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.2 [08abe8d2] PrettyTables v3.2.3 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [9040bce9] SDPLRPlus v0.2.0 [efcf1570] Setfield v1.1.2 [ff4d7338] SolverCore v0.3.10 [276daf66] SpecialFunctions v2.7.1 [90137ffa] StaticArrays v1.9.18 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [892a3eda] StringManipulation v0.4.4 [ec057cc2] StructUtils v2.6.3 [3783bdb8] TableTraits v1.0.1 [bd369af6] Tables v1.12.1 [a759f4b9] TimerOutputs v0.5.29 [3bb67fe8] TranscodingStreams v0.11.3 [3a884ed6] UnPack v1.0.2 [c4a57d5a] UnsafeArrays v1.0.8 [409d34a3] VectorInterface v0.5.0 [6e34b625] Bzip2_jll v1.0.9+0 [1d5cc7b8] IntelOpenMP_jll v2025.2.0+0 [856f044c] MKL_jll v2025.2.0+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [1317d2d5] oneTBB_jll v2022.0.0+1 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates 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 v1.13.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.14.0 [de0858da] Printf v1.11.0 [9abbd945] Profile v1.11.0 [3fa0cd96] REPL v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [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 v8.18.0+1 [e37daf67] LibGit2_jll v1.9.2+0 [29816b5a] LibSSH2_jll v1.11.3+1 [14a3606d] MozillaCACerts_jll v2025.12.2 [4536629a] OpenBLAS_jll v0.3.30+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.5+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.2+0 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.68.0+1 [3f19e933] p7zip_jll v17.8.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... Test Summary: | Pass Total Time SymLowRankMatrix tests | 200 200 5.9s [ Info: Max Cut SDP is formed. ========================================================================================================================= SDPLRPlus.jl: a julia implementation of SDPLR with objval gap bound ========================================================================================================================= [ Info: Finish classifying constraints. ┌─────────┬───┬───────┬─────────┬──────────┬───────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼───────────┼──────────┼──────────┼── │ │ 1 │ 1 │ 1 │ 7.64E-01 │ -2.35E-01 │ 2.00E+00 │ 5.00E-01 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴───────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = -0.23531440306577972 max_dual_value = -2.6798959739489687 duality_gap = 10.388576045639805 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 2 │ 6 │ 7 │ -1.06E+00 │ -7.01E-02 │ 2.00E+00 │ 2.50E-01 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 3 │ 4 │ 11 │ -1.77E+00 │ -1.33E+00 │ 4.00E+00 │ 2.50E-01 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.3323104389932319 max_dual_value = -1.0146882791398553 duality_gap = -0.31302437052157817 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 4 │ 2 │ 13 │ -1.00E+00 │ -9.98E-01 │ 4.00E+00 │ 6.25E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9977233519006058 max_dual_value = -0.9969000409027059 duality_gap = -0.0008258711647301936 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 5 │ 1 │ 14 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 1.56E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.000102280350264 max_dual_value = -0.9969000409027059 duality_gap = -0.003212197127265009 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 6 │ 1 │ 15 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 3.91E-03 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0002736331731452 max_dual_value = -0.9969000409027059 duality_gap = -0.00338408278866604 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 7 │ 1 │ 16 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 9.77E-04 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0000137051256022 max_dual_value = -0.9969000409027059 duality_gap = -0.003123346469197463 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 8 │ 1 │ 17 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 2.44E-04 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9999975837474011 max_dual_value = -0.9969000409027059 duality_gap = -0.0031071749599792834 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 9 │ 1 │ 18 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 6.10E-05 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9999998460250479 max_dual_value = -0.9969000409027059 duality_gap = -0.0031094442724017416 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 10 │ 0 │ 18 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 1.53E-05 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999998460250479 max_dual_value = -0.9969000409027059 duality_gap = -0.0031094442724017416 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 11 │ 1 │ 19 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 3.81E-06 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000002708601172 max_dual_value = -0.9969000409027059 duality_gap = -0.0031098704285376783 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 12 │ 1 │ 20 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 9.54E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000000068793615 max_dual_value = -0.9969000409027059 duality_gap = -0.003109605626907757 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 13 │ 1 │ 21 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 2.38E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999999986973779 max_dual_value = -0.9969000409027059 duality_gap = -0.0031095974194814253 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 13 │ -1 │ 21 │ -1.00E+00 │ -1.00E+00 │ 4.00E+00 │ 2.38E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted ========================================================================================================================= End of SDPLRPlus.jl ========================================================================================================================= [ Info: Max Cut SDP is formed. ========================================================================================================================= SDPLRPlus.jl: a julia implementation of SDPLR with objval gap bound ========================================================================================================================= [ Info: Finish classifying constraints. ┌─────────┬───┬───────┬─────────┬──────────┬───────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼───────────┼──────────┼──────────┼── │ │ 1 │ 7 │ 7 │ 1.13E-06 │ -1.80E-09 │ 1.00E+01 │ 1.00E-01 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴───────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = -1.800929738403524e-9 max_dual_value = -0.748119828688357 duality_gap = 4.154075591814123e8 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 2 │ 1 │ 8 │ -1.14E-06 │ -1.72E-09 │ 1.00E+01 │ 1.00E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.7249794318746941e-9 max_dual_value = -0.3531637979216244 duality_gap = 2.047350766454237e8 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 3 │ 1 │ 9 │ -5.97E-12 │ -3.65E-12 │ 1.00E+01 │ 1.00E-03 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -3.653395451843697e-12 max_dual_value = -0.3531637979216244 duality_gap = 9.666727913063608e10 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 4 │ 1 │ 10 │ -4.25E-11 │ -1.02E-12 │ 1.00E+01 │ 1.00E-04 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0222113894338226e-12 max_dual_value = -0.3139281249733772 duality_gap = 3.0710685501775903e11 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 5 │ 1 │ 11 │ -3.07E-14 │ -2.55E-16 │ 1.00E+01 │ 1.00E-05 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -2.5512509978134113e-16 max_dual_value = -0.3139281249733772 duality_gap = 1.2304870247671978e15 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 6 │ 1 │ 12 │ -1.81E-15 │ -6.32E-17 │ 1.00E+01 │ 1.00E-06 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -6.316675075032203e-17 max_dual_value = -0.3139281249733772 duality_gap = 4.969831774539656e15 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 7 │ 1 │ 13 │ -3.07E-17 │ -2.50E-17 │ 1.00E+01 │ 1.00E-07 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -2.495008136279545e-17 max_dual_value = -0.2670532512658577 duality_gap = 1.070350222040064e16 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 8 │ 1 │ 14 │ -5.55E-17 │ -5.54E-17 │ 1.00E+01 │ 1.00E-08 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -5.5411303018518184e-17 max_dual_value = -0.07930347699363785 duality_gap = 1.4311787067547385e15 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 9 │ 0 │ 14 │ 9.30E-20 │ 0.00E+00 │ 1.00E+01 │ 1.00E-08 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.0 max_dual_value = -0.07930347699363785 duality_gap = Inf ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 10 │ 1 │ 15 │ -9.40E-20 │ -3.10E-22 │ 1.00E+01 │ 1.00E-08 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -3.096164966431458e-22 max_dual_value = -0.07930347699363785 duality_gap = 2.561345337003814e20 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 11 │ 0 │ 15 │ 1.02E-19 │ 0.00E+00 │ 1.00E+01 │ 1.00E-08 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.0 max_dual_value = -0.07930347699363785 duality_gap = Inf ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 12 │ 1 │ 16 │ -1.02E-19 │ -1.39E-22 │ 1.00E+01 │ 1.00E-08 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.3876613570307274e-22 max_dual_value = -0.07930347699363785 duality_gap = 5.7149013044024554e20 [ Info: rank doubled, newrank is 2. ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 13 │ 9 │ 25 │ -1.02E+00 │ -1.05E+00 │ 1.00E+01 │ 1.00E-01 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0498856954075741 max_dual_value = -0.9977913461884744 duality_gap = -0.05220966228871215 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 14 │ 1 │ 26 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-02 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0001068250282266 max_dual_value = -0.9977913461884744 duality_gap = -0.0023206042511765422 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 15 │ 3 │ 29 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-03 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000003493180432 max_dual_value = -0.9977913461884744 duality_gap = -0.0022138928524556172 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 16 │ 1 │ 30 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-04 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999997592976247 max_dual_value = -0.9977913461884744 duality_gap = -0.0022133015260017794 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 17 │ 1 │ 31 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-05 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999999805754994 max_dual_value = -0.9977913461884744 duality_gap = -0.002213523293684507 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 18 │ 2 │ 33 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-06 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000000174046098 max_dual_value = -0.9977913461884744 duality_gap = -0.0022135602043176347 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 19 │ 1 │ 34 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999999877778557 max_dual_value = -0.9977913461884744 duality_gap = -0.0022135305119834977 ┌─────────┬────┬─────────┬─────────┬───────────┬───────────┬──────────┬───────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ⋯ ├─────────┼────┼─────────┼─────────┼───────────┼───────────┼──────────┼───────── │ │ 20 │ 2020105 │ 2020139 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E- ⋯ └─────────┴────┴─────────┴─────────┴───────────┴───────────┴──────────┴───────── 6 columns omitted ┌─────────┬────┬─────────┬─────────┬───────────┬───────────┬──────────┬───────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ⋯ ├─────────┼────┼─────────┼─────────┼───────────┼───────────┼──────────┼───────── │ │ 20 │ 4067979 │ 4068013 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E- ⋯ └─────────┴────┴─────────┴─────────┴───────────┴───────────┴──────────┴───────── 6 columns omitted ┌─────────┬────┬─────────┬─────────┬───────────┬───────────┬──────────┬───────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ⋯ ├─────────┼────┼─────────┼─────────┼───────────┼───────────┼──────────┼───────── │ │ 20 │ 6109557 │ 6109591 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E- ⋯ └─────────┴────┴─────────┴─────────┴───────────┴───────────┴──────────┴───────── 6 columns omitted ┌─────────┬────┬─────────┬─────────┬───────────┬───────────┬──────────┬───────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ⋯ ├─────────┼────┼─────────┼─────────┼───────────┼───────────┼──────────┼───────── │ │ 20 │ 8146586 │ 8146620 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E- ⋯ └─────────┴────┴─────────┴─────────┴───────────┴───────────┴──────────┴───────── 6 columns omitted ┌─────────┬────┬─────────┬──────────┬───────────┬───────────┬──────────┬──────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ⋯ ├─────────┼────┼─────────┼──────────┼───────────┼───────────┼──────────┼──────── │ │ 20 │ 9999967 │ 10000001 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E ⋯ └─────────┴────┴─────────┴──────────┴───────────┴───────────┴──────────┴──────── 6 columns omitted ┌ Warning: Iteration limit exceeded. Stop optimizing. └ @ SDPLRPlus ~/.julia/packages/SDPLRPlus/9Bx3j/src/sdplr.jl:304 ┌─────────┬────┬───────┬──────────┬───────────┬───────────┬──────────┬────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ η ⋯ ├─────────┼────┼───────┼──────────┼───────────┼───────────┼──────────┼────────── │ │ 20 │ -1 │ 10000001 │ -1.00E+00 │ -1.00E+00 │ 1.00E+01 │ 1.00E-0 ⋯ └─────────┴────┴───────┴──────────┴───────────┴───────────┴──────────┴────────── 6 columns omitted ========================================================================================================================= End of SDPLRPlus.jl ========================================================================================================================= [ Info: Max Cut SDP is formed. ========================================================================================================================= SDPLRPlus.jl: a julia implementation of SDPLR with objval gap bound ========================================================================================================================= [ Info: Finish classifying constraints. ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 1 │ 2 │ 2 │ -1.12E+00 │ -1.23E+00 │ 2.00E+00 │ 5.00E-01 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.227106964839848 max_dual_value = -0.908734310117515 duality_gap = -0.35034734704928433 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 2 │ 1 │ 3 │ -1.00E+00 │ -1.02E+00 │ 2.00E+00 │ 2.50E-01 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0238652950742082 max_dual_value = -0.908734310117515 duality_gap = -0.1266937802115172 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 3 │ 1 │ 4 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.25E-01 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0004008443240147 max_dual_value = -0.908734310117515 duality_gap = -0.10087275586045118 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 4 │ 1 │ 5 │ -1.00E+00 │ -9.99E-01 │ 2.00E+00 │ 6.25E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9986098515018713 max_dual_value = -0.908734310117515 duality_gap = -0.09890189066673824 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 5 │ 0 │ 5 │ -1.00E+00 │ -9.99E-01 │ 2.00E+00 │ 3.12E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9986098515018712 max_dual_value = -0.908734310117515 duality_gap = -0.09890189066673812 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 6 │ 1 │ 6 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.56E-02 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.00110163877623 max_dual_value = -0.908734310117515 duality_gap = -0.10164393225867106 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 7 │ 1 │ 7 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 7.81E-03 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0001606386326407 max_dual_value = -0.908734310117515 duality_gap = -0.1006084259141736 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 8 │ 0 │ 7 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 3.91E-03 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -1.0001606386326407 max_dual_value = -0.908734310117515 duality_gap = -0.1006084259141736 ┌─────────┬───┬───────┬─────────┬───────────┬───────────┬──────────┬──────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼───┼───────┼─────────┼───────────┼───────────┼──────────┼──────────── │ │ 9 │ 1 │ 8 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.95E-03 ⋯ └─────────┴───┴───────┴─────────┴───────────┴───────────┴──────────┴──────────── 5 columns omitted var.obj[] = -0.9997922815763679 max_dual_value = -0.908734310117515 duality_gap = -0.10020307414944803 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 10 │ 1 │ 9 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 9.77E-04 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999785229083933 max_dual_value = -0.908734310117515 duality_gap = -0.10040802000650641 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 11 │ 0 │ 9 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 4.88E-04 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999785229083933 max_dual_value = -0.908734310117515 duality_gap = -0.10040802000650641 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 12 │ 1 │ 10 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 2.44E-04 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000285098120316 max_dual_value = -0.908734310117515 duality_gap = -0.10046302717755937 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 13 │ 1 │ 11 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.22E-04 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000036430427346 max_dual_value = -0.908734310117515 duality_gap = -0.10043566299749027 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 14 │ 1 │ 12 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 6.10E-05 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999986399220122 max_dual_value = -0.908734310117515 duality_gap = -0.10043015740507819 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 15 │ 0 │ 12 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 3.05E-05 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999986399220124 max_dual_value = -0.908734310117515 duality_gap = -0.10043015740507844 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 16 │ 1 │ 13 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.53E-05 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000010191395732 max_dual_value = -0.908734310117515 duality_gap = -0.10043277557139421 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 17 │ 1 │ 14 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 7.63E-06 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000002568071775 max_dual_value = -0.908734310117515 duality_gap = -0.1004319366766951 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 18 │ 0 │ 14 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 3.81E-06 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -1.0000002568071773 max_dual_value = -0.908734310117515 duality_gap = -0.10043193667669485 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 19 │ 1 │ 15 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 1.91E-06 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999996675925887 max_dual_value = -0.908734310117515 duality_gap = -0.10043128828631055 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 20 │ 1 │ 16 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 9.54E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted var.obj[] = -0.9999999992782809 max_dual_value = -0.908734310117515 duality_gap = -0.10043165328374538 ┌─────────┬────┬───────┬─────────┬───────────┬───────────┬──────────┬─────────── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ ⋯ ├─────────┼────┼───────┼─────────┼───────────┼───────────┼──────────┼─────────── │ │ 20 │ -1 │ 16 │ -1.00E+00 │ -1.00E+00 │ 2.00E+00 │ 9.54E-07 ⋯ └─────────┴────┴───────┴─────────┴───────────┴───────────┴──────────┴─────────── 5 columns omitted ========================================================================================================================= End of SDPLRPlus.jl ========================================================================================================================= Test Summary: | Pass Total Time Max Cut | 3 3 6m23.4s [ Info: Minimum Bisection SDP is formed. ========================================================================================================================= SDPLRPlus.jl: a julia implementation of SDPLR with objval gap bound ========================================================================================================================= [ Info: Finish classifying constraints. ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 1 │ 4 │ 4 │ 8.77E-01 │ 7.28E-01 │ 2.00E+00 │ 5.00E-01 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.7282831293874974 max_dual_value = 0.6519974984094556 duality_gap = 0.11700295041643585 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 2 │ 1 │ 5 │ 9.98E-01 │ 1.02E+00 │ 2.00E+00 │ 2.50E-01 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 1.02349942474327 max_dual_value = 0.6519974984094556 duality_gap = 0.5697904167425356 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 3 │ 1 │ 6 │ 1.00E+00 │ 9.98E-01 │ 2.00E+00 │ 1.25E-01 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.9978220203637052 max_dual_value = 0.6519974984094556 duality_gap = 0.5304077435847324 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 4 │ 1 │ 7 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 6.25E-02 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 1.0001800718669331 max_dual_value = 0.6519974984094556 duality_gap = 0.534024400870965 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 5 │ 0 │ 7 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 3.12E-02 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 1.0001800718669331 max_dual_value = 0.9012847546354599 duality_gap = 0.10972704988388846 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 6 │ 1 │ 8 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 1.56E-02 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.9995822453377371 max_dual_value = 0.9720236935578246 duality_gap = 0.028351728422423568 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 7 │ 1 │ 9 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 7.81E-03 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 1.0001368648580362 max_dual_value = 0.9720236935578246 duality_gap = 0.0289223107281584 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 8 │ 1 │ 10 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 3.91E-03 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.9999203601877128 max_dual_value = 0.9720236935578246 duality_gap = 0.028699574727216945 ┌─────────┬───┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬─── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼───┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼─── │ │ 9 │ 0 │ 10 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 1.95E-03 │ ⋯ └─────────┴───┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴─── 5 columns omitted var.obj[] = 0.9999203601877129 max_dual_value = 0.9805341005049246 duality_gap = 0.019771122363623418 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 10 │ 1 │ 11 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 9.77E-04 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 1.0000977988772926 max_dual_value = 0.9805341005049246 duality_gap = 0.019952083626967827 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 11 │ 1 │ 12 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 4.88E-04 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999998803680155 max_dual_value = 0.9931144026536713 duality_gap = 0.006933217055301618 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 12 │ 0 │ 12 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 2.44E-04 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999998803680156 max_dual_value = 0.9931144026536713 duality_gap = 0.0069332170553017295 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 13 │ 0 │ 12 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 1.22E-04 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999998803680156 max_dual_value = 0.9931144026536713 duality_gap = 0.0069332170553017295 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 14 │ 0 │ 12 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 6.10E-05 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999998803680156 max_dual_value = 0.9931144026536713 duality_gap = 0.0069332170553017295 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 15 │ 1 │ 13 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 3.05E-05 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 1.0000004285384383 max_dual_value = 0.9931144026536713 duality_gap = 0.006933769026375007 [ Info: rank doubled, newrank is 2. ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 16 │ 2 │ 15 │ 8.66E-01 │ 6.89E-01 │ 2.00E+00 │ 5.00E-01 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.6891052205810803 max_dual_value = 0.9406434669244688 duality_gap = -0.3650215363791348 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 17 │ 3 │ 18 │ 9.98E-01 │ 1.02E+00 │ 2.00E+00 │ 2.50E-01 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 1.0221651664364833 max_dual_value = 0.9654712640398839 duality_gap = 0.05872148090598923 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 18 │ 1 │ 19 │ 1.00E+00 │ 9.89E-01 │ 2.00E+00 │ 1.25E-01 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9887667845864252 max_dual_value = 0.9997770959208269 duality_gap = -0.011135397654975827 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 19 │ 3 │ 22 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 6.25E-02 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999509665847277 max_dual_value = 0.9999674605322366 duality_gap = -1.6494756303146607e-5 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 20 │ 0 │ 22 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 3.12E-02 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 0.9999509665847277 max_dual_value = 1.000157825143647 duality_gap = -0.0002068687023982122 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 21 │ 1 │ 23 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 1.56E-02 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 1.000031370323981 max_dual_value = 1.000157825143647 duality_gap = -0.00012645085286177787 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 22 │ 1 │ 24 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 7.81E-03 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted var.obj[] = 1.0000061525652961 max_dual_value = 1.000157825143647 duality_gap = -0.00015167164518110272 ┌─────────┬────┬───────┬─────────┬──────────┬──────────┬──────────┬──────────┬── │ dataset │ T │ Iterₜ │ TotIter │ ℒ │ pobj │ σ │ ηₜ │ ⋯ ├─────────┼────┼───────┼─────────┼──────────┼──────────┼──────────┼──────────┼── │ │ 22 │ -1 │ 24 │ 1.00E+00 │ 1.00E+00 │ 2.00E+00 │ 7.81E-03 │ ⋯ └─────────┴────┴───────┴─────────┴──────────┴──────────┴──────────┴──────────┴── 5 columns omitted ========================================================================================================================= End of SDPLRPlus.jl ========================================================================================================================= Test Summary: | Pass Total Time Minimum Bisection | 1 1 1.9s Test Summary: | Total Time Lovasz Theta | 0 0.0s Test Summary: | Total Time Cut Norm | 0 0.0s [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Cut Norm SDP is formed. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. Test Summary: | Pass Total Time f!, g! and linesearch! | 252 252 22.5s [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. Test Summary: | Pass Total Time f!, g! with inequality constraints | 108 108 0.7s [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Max Cut SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Lovasz Theta SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Minimum Bisection SDP is formed. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. [ Info: μ-Conductance (inequality) SDP is formed. [ Info: Finish classifying constraints. Test Summary: | Pass Total Time 𝒜t! operator | 216 216 5.1s Testing SDPLRPlus tests passed Testing completed after 450.71s PkgEval succeeded after 535.24s