Package evaluation to test ClusteredLowRankSolver on Julia 1.14.0-DEV.1826 (44c835795b*) started at 2026-03-02T14:34:41.722 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 14.16s ################################################################################ # Installation # Installing ClusteredLowRankSolver... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [cadeb640] + ClusteredLowRankSolver v2.0.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.48.4 [fb37089c] + Arblib v1.7.0 [0a1fb500] + BlockDiagonals v0.2.0 [cadeb640] + ClusteredLowRankSolver v2.0.0 [861a8166] + Combinatorics v1.1.0 [ffbed154] + DocStringExtensions v0.9.5 [1a297f60] + FillArrays v1.16.0 [14197337] + GenericLinearAlgebra v0.3.19 [076d061b] + HashArrayMappedTries v0.2.0 [92d709cd] + IrrationalConstants v0.2.6 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.7.1 [0b1a1467] + KrylovKit v0.10.2 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.16 [2edaba10] + Nemo v0.54.1 [65ce6f38] + PackageExtensionCompat v1.0.2 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.2 [fb686558] + RandomExtensions v0.4.4 [af85af4c] + RowEchelon v0.2.1 [7e506255] + ScopedValues v1.5.0 [276daf66] + SpecialFunctions v2.7.1 [409d34a3] + VectorInterface v0.5.0 [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.30+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [56f22d72] + Artifacts v1.11.0 [ade2ca70] + Dates v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [fa267f1f] + TOML v1.0.3 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [3a97d323] + MPFR_jll v4.2.2+0 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Installation completed after 5.7s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 33064.3 ms ✓ Nemo 26368.8 ms ✓ Arblib 84056.5 ms ✓ MathOptInterface 2721.9 ms ✓ Arblib → ArblibForwardDiffExt 12068.0 ms ✓ ClusteredLowRankSolver 64897.2 ms ✓ JuMP 13328.8 ms ✓ ClusteredLowRankSolver → MOIExt 19064.8 ms ✓ ClusteredLowRankSolver → JuMPExt 8 dependencies successfully precompiled in 258 seconds. 69 already precompiled. Precompilation completed after 282.18s ################################################################################ # Testing # Testing ClusteredLowRankSolver Status `/tmp/jl_PaIE2n/Project.toml` [c3fe647b] AbstractAlgebra v0.48.4 [cadeb640] ClusteredLowRankSolver v2.0.0 [4076af6c] JuMP v1.29.4 [b8f27783] MathOptInterface v1.49.0 [2edaba10] Nemo v0.54.1 [1fd47b50] QuadGK v2.11.2 [276daf66] SpecialFunctions v2.7.1 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_PaIE2n/Manifest.toml` [c3fe647b] AbstractAlgebra v0.48.4 [fb37089c] Arblib v1.7.0 [6e4b80f9] BenchmarkTools v1.6.3 [0a1fb500] BlockDiagonals v0.2.0 [cadeb640] ClusteredLowRankSolver v2.0.0 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.8 [861a8166] Combinatorics v1.1.0 [bbf7d656] CommonSubexpressions v0.3.1 [34da2185] Compat v4.18.1 [864edb3b] DataStructures v0.19.3 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [1a297f60] FillArrays v1.16.0 [f6369f11] ForwardDiff v1.3.2 [14197337] GenericLinearAlgebra v0.3.19 [076d061b] HashArrayMappedTries v0.2.0 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.7.1 [682c06a0] JSON v1.4.0 [4076af6c] JuMP v1.29.4 [0b1a1467] KrylovKit v0.10.2 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [b8f27783] MathOptInterface v1.49.0 [d8a4904e] MutableArithmetics v1.6.7 [77ba4419] NaNMath v1.1.3 [2edaba10] Nemo v0.54.1 [bac558e1] OrderedCollections v1.8.1 [65ce6f38] PackageExtensionCompat v1.0.2 [69de0a69] Parsers v2.8.3 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.2 [1fd47b50] QuadGK v2.11.2 [fb686558] RandomExtensions v0.4.4 [af85af4c] RowEchelon v0.2.1 [7e506255] ScopedValues v1.5.0 [276daf66] SpecialFunctions v2.7.1 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [ec057cc2] StructUtils v2.6.3 [3bb67fe8] TranscodingStreams v0.11.3 [409d34a3] VectorInterface v0.5.0 [6e34b625] Bzip2_jll v1.0.9+0 [e134572f] FLINT_jll v301.400.1+0 [656ef2d0] OpenBLAS32_jll v0.3.30+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [de0858da] Printf v1.11.0 [9abbd945] Profile v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [fa267f1f] TOML v1.0.3 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [3a97d323] MPFR_jll v4.2.2+0 [4536629a] OpenBLAS_jll v0.3.30+0 [05823500] OpenLibm_jll v0.8.7+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.2+0 [8e850b90] libblastrampoline_jll v5.15.0+0 Testing Running tests... iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 31.8 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 1.95e+10 7.42e-01 7.10e-01 3.00e-01 2 35.6 3.995e+19 1.999e+11 -2.907e+09 1.03e+00 2.58e+09 2.58e-01 5.65e+09 7.46e-01 7.17e-01 3.00e-01 3 35.6 1.576e+19 3.079e+11 -4.779e+09 1.03e+00 6.53e+08 6.53e-02 1.60e+09 7.32e-01 7.31e-01 3.00e-01 4 35.6 6.100e+18 4.277e+11 -6.725e+09 1.03e+00 1.75e+08 1.75e-02 4.31e+08 7.20e-01 7.22e-01 3.00e-01 5 35.6 2.433e+18 5.963e+11 -9.362e+09 1.03e+00 4.92e+07 4.92e-03 1.20e+08 7.11e-01 7.14e-01 3.00e-01 6 35.6 9.953e+17 8.401e+11 -1.309e+10 1.03e+00 1.42e+07 1.42e-03 3.42e+07 7.07e-01 7.10e-01 3.00e-01 7 35.6 4.128e+17 1.191e+12 -1.842e+10 1.03e+00 4.16e+06 4.16e-04 9.93e+06 7.05e-01 7.07e-01 3.00e-01 8 35.6 1.725e+17 1.693e+12 -2.598e+10 1.03e+00 1.23e+06 1.23e-04 2.91e+06 7.04e-01 7.06e-01 3.00e-01 9 35.6 7.238e+16 2.410e+12 -3.671e+10 1.03e+00 3.64e+05 3.64e-05 8.56e+05 7.03e-01 7.05e-01 3.00e-01 10 35.6 3.044e+16 3.431e+12 -5.194e+10 1.03e+00 1.08e+05 1.08e-05 2.53e+05 7.03e-01 7.04e-01 3.00e-01 11 35.7 1.281e+16 4.886e+12 -7.353e+10 1.03e+00 3.20e+04 3.20e-06 7.48e+04 7.03e-01 7.04e-01 3.00e-01 12 35.7 5.398e+15 6.956e+12 -1.042e+11 1.03e+00 9.51e+03 9.51e-07 2.21e+04 7.03e-01 7.04e-01 3.00e-01 13 35.7 2.275e+15 9.899e+12 -1.476e+11 1.03e+00 2.82e+03 2.82e-07 6.55e+03 7.03e-01 7.04e-01 3.00e-01 14 35.7 9.587e+14 1.407e+13 -2.094e+11 1.03e+00 8.38e+02 8.38e-08 1.94e+03 7.04e-01 7.05e-01 3.00e-01 15 35.7 4.036e+14 1.993e+13 -2.971e+11 1.03e+00 2.48e+02 2.48e-08 5.71e+02 7.06e-01 7.09e-01 3.00e-01 16 35.7 1.692e+14 2.789e+13 -4.222e+11 1.03e+00 7.31e+01 7.31e-09 1.66e+02 7.12e-01 7.22e-01 3.00e-01 17 35.7 7.003e+13 3.756e+13 -6.021e+11 1.03e+00 2.10e+01 2.10e-09 4.62e+01 7.31e-01 7.65e-01 3.00e-01 18 35.7 2.773e+13 4.485e+13 -8.676e+11 1.04e+00 5.66e+00 5.66e-10 1.08e+01 7.79e-01 9.17e-01 3.00e-01 19 35.7 9.540e+12 3.941e+13 -1.292e+12 1.07e+00 1.25e+00 1.25e-10 8.99e-01 9.22e-01 1.00e+00 3.00e-01 20 35.8 2.995e+12 1.720e+13 -1.811e+12 1.24e+00 9.79e-02 9.79e-12 2.17e-52 1.00e+00 1.00e+00 3.00e-01 21 35.8 8.988e+11 4.388e+12 -1.903e+12 2.53e+00 2.65e-65 0.00e+00 9.84e-52 1.00e+00 1.00e+00 3.00e-01 22 35.8 2.696e+11 1.339e+12 -5.487e+11 2.39e+00 3.28e-65 2.37e-66 5.14e-52 8.90e-01 8.90e-01 1.00e-01 23 35.8 5.361e+10 2.688e+11 -1.065e+11 2.31e+00 2.67e-66 8.90e-67 5.83e-53 8.70e-01 8.70e-01 1.00e-01 24 35.8 1.161e+10 5.819e+10 -2.310e+10 2.32e+00 7.42e-67 7.42e-68 9.21e-54 8.52e-01 8.52e-01 1.00e-01 25 35.8 2.713e+09 1.355e+10 -5.443e+09 2.34e+00 9.60e-68 7.42e-68 1.27e-54 8.36e-01 8.36e-01 1.00e-01 26 35.8 6.711e+08 3.370e+09 -1.328e+09 2.30e+00 6.03e-68 3.25e-68 2.08e-55 8.30e-01 8.30e-01 1.00e-01 27 35.8 1.696e+08 8.422e+08 -3.452e+08 2.39e+00 1.39e-68 1.16e-68 3.52e-56 8.10e-01 8.10e-01 1.00e-01 28 35.8 4.599e+07 2.340e+08 -8.791e+07 2.20e+00 3.48e-69 4.93e-69 6.71e-57 8.18e-01 8.18e-01 1.00e-01 29 35.9 1.213e+07 5.873e+07 -2.619e+07 2.61e+00 6.07e-70 1.30e-69 1.22e-57 7.63e-01 7.63e-01 1.00e-01 30 35.9 3.798e+06 2.001e+07 -6.576e+06 1.98e+00 1.59e-70 4.53e-70 2.89e-58 8.24e-01 8.24e-01 1.00e-01 31 35.9 9.800e+05 4.616e+06 -2.245e+06 2.89e+00 4.64e-71 1.13e-70 5.08e-59 7.75e-01 7.75e-01 1.00e-01 32 35.9 2.963e+05 1.559e+06 -5.151e+05 1.99e+00 1.33e-71 3.85e-71 1.14e-59 8.39e-01 8.39e-01 1.00e-01 33 35.9 7.263e+04 3.436e+05 -1.649e+05 2.85e+00 7.24e-72 9.06e-72 1.84e-60 7.97e-01 7.97e-01 1.00e-01 34 35.9 2.051e+04 1.063e+05 -3.733e+04 2.08e+00 1.64e-72 2.41e-72 3.73e-61 8.41e-01 8.41e-01 1.00e-01 35 35.9 4.988e+03 2.366e+04 -1.125e+04 2.81e+00 3.87e-73 6.37e-73 5.93e-62 8.01e-01 8.01e-01 1.00e-01 36 35.9 1.393e+03 7.141e+03 -2.612e+03 2.15e+00 8.43e-74 1.15e-73 1.18e-62 8.38e-01 8.38e-01 1.00e-01 37 35.9 3.422e+02 1.603e+03 -7.929e+02 2.96e+00 1.89e-74 1.77e-74 1.91e-63 7.97e-01 7.97e-01 1.00e-01 38 36.0 9.665e+01 4.860e+02 -1.905e+02 2.29e+00 6.70e-75 3.87e-75 3.88e-64 8.39e-01 8.39e-01 1.00e-01 39 36.0 2.366e+01 1.051e+02 -6.048e+01 3.71e+00 1.11e-75 2.00e-75 6.24e-65 8.03e-01 8.03e-01 1.00e-01 40 36.0 6.562e+00 2.998e+01 -1.595e+01 3.28e+00 3.80e-76 3.28e-76 1.23e-65 8.57e-01 8.57e-01 1.00e-01 41 36.0 1.499e+00 4.629e+00 -5.866e+00 8.49e+00 8.64e-77 1.73e-77 1.75e-66 8.75e-01 8.75e-01 1.00e-01 42 36.0 3.183e-01 -4.666e-01 -2.695e+00 7.05e-01 3.45e-77 2.59e-77 2.19e-67 9.64e-01 9.64e-01 1.00e-01 43 36.0 4.224e-02 -1.900e+00 -2.195e+00 7.22e-02 8.64e-78 0.00e+00 7.96e-69 9.83e-01 9.83e-01 1.00e-01 44 36.0 4.861e-03 -2.089e+00 -2.123e+00 8.08e-03 1.73e-77 4.32e-77 1.33e-70 9.97e-01 9.97e-01 1.00e-01 45 36.0 5.004e-04 -2.110e+00 -2.114e+00 8.29e-04 1.73e-77 2.59e-77 4.36e-73 9.99e-01 9.99e-01 1.00e-01 46 36.0 5.050e-05 -2.113e+00 -2.113e+00 8.37e-05 8.64e-78 8.64e-78 6.63e-75 1.00e+00 1.00e+00 1.00e-01 47 36.0 5.060e-06 -2.113e+00 -2.113e+00 8.38e-06 8.64e-78 0.00e+00 2.90e-75 1.00e+00 1.00e+00 1.00e-01 48 36.1 5.062e-07 -2.113e+00 -2.113e+00 8.39e-07 8.64e-78 3.45e-77 5.25e-75 1.00e+00 1.00e+00 1.00e-01 49 36.1 5.063e-08 -2.113e+00 -2.113e+00 8.39e-08 8.64e-78 3.45e-77 1.06e-74 1.00e+00 1.00e+00 1.00e-01 50 36.1 5.064e-09 -2.113e+00 -2.113e+00 8.39e-09 1.73e-77 4.32e-77 8.84e-75 1.00e+00 1.00e+00 1.00e-01 51 36.1 5.064e-10 -2.113e+00 -2.113e+00 8.39e-10 8.64e-78 3.45e-77 1.21e-73 1.00e+00 1.00e+00 1.00e-01 52 36.1 5.065e-11 -2.113e+00 -2.113e+00 8.39e-11 1.73e-77 8.64e-78 1.48e-73 1.00e+00 1.00e+00 1.00e-01 53 36.1 5.065e-12 -2.113e+00 -2.113e+00 8.39e-12 8.64e-78 3.45e-77 1.16e-73 1.00e+00 1.00e+00 1.00e-01 54 36.1 5.066e-13 -2.113e+00 -2.113e+00 8.39e-13 1.73e-77 1.73e-77 4.00e-73 1.00e+00 1.00e+00 1.00e-01 55 36.1 5.066e-14 -2.113e+00 -2.113e+00 8.39e-14 8.64e-78 2.59e-77 2.11e-73 1.00e+00 1.00e+00 1.00e-01 56 36.1 5.067e-15 -2.113e+00 -2.113e+00 8.39e-15 8.64e-78 2.59e-77 9.14e-73 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 36.187546 seconds (11.28 M allocations: 675.686 MiB, 2.86% gc time, 96.93% compilation time: <1% of which was recompilation) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:-2.112913881423605414376676491370370804094293924621340541377849930530720275819247 Dual objective:-2.112913881423601867258576663791969760799542539531822957804369617174632355774866 duality gap:8.393901263589741577970249036919818114096506697273318655829561172497523635731337e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.8 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 2.10e+11 7.15e-01 8.46e-01 3.00e-01 2 1.3 4.213e+19 -7.841e+09 2.996e+11 1.05e+00 2.85e+09 2.85e-01 3.23e+10 7.79e-01 1.00e+00 3.00e-01 3 1.4 1.478e+19 1.359e+09 5.379e+11 9.95e-01 6.29e+08 6.29e-02 1.60e-65 8.20e-01 1.00e+00 3.00e-01 4 1.5 4.264e+18 4.397e+08 8.578e+11 9.99e-01 1.13e+08 1.13e-02 7.15e-65 8.92e-01 1.00e+00 3.00e-01 5 1.5 7.344e+17 4.931e+07 1.370e+12 1.00e+00 1.22e+07 1.22e-03 1.94e-64 8.98e-01 1.00e+00 3.00e-01 6 1.6 1.198e+17 4.867e+06 2.189e+12 1.00e+00 1.24e+06 1.24e-04 2.45e-64 8.95e-01 1.00e+00 3.00e-01 7 1.6 2.010e+16 5.242e+05 3.499e+12 1.00e+00 1.30e+05 1.30e-05 3.80e-64 8.99e-01 1.00e+00 3.00e-01 8 1.7 3.262e+15 5.203e+04 5.596e+12 1.00e+00 1.32e+04 1.32e-06 1.05e-63 8.97e-01 1.00e+00 3.00e-01 9 1.7 5.394e+14 5.483e+03 8.950e+12 1.00e+00 1.37e+03 1.37e-07 1.22e-63 8.99e-01 1.00e+00 3.00e-01 10 1.8 8.742e+13 5.525e+02 1.430e+13 1.00e+00 1.38e+02 1.38e-08 1.92e-63 8.99e-01 1.00e+00 3.00e-01 11 1.9 1.453e+13 6.378e+01 2.266e+13 1.00e+00 1.40e+01 1.40e-09 3.29e-63 8.96e-01 1.00e+00 3.00e-01 12 1.9 2.995e+12 1.385e+01 3.308e+13 1.00e+00 1.45e+00 1.45e-10 3.76e-63 8.80e-01 1.00e+00 3.00e-01 13 2.0 1.001e+12 9.125e+00 2.897e+13 1.00e+00 1.74e-01 1.74e-11 4.90e-63 8.85e-01 1.00e+00 3.00e-01 14 2.0 3.229e+11 8.728e+00 1.226e+13 1.00e+00 2.01e-02 2.01e-12 3.78e-63 8.77e-01 1.00e+00 3.00e-01 15 2.1 9.802e+10 8.791e+00 3.989e+12 1.00e+00 2.47e-03 2.47e-13 1.37e-63 1.00e+00 1.00e+00 3.00e-01 16 2.2 2.964e+10 8.979e+00 1.245e+12 1.00e+00 5.18e-77 1.73e-77 2.20e-64 1.00e+00 1.00e+00 3.00e-01 17 2.2 8.892e+09 9.036e+00 3.735e+11 1.00e+00 4.10e-77 1.73e-77 1.19e-65 9.97e-01 9.97e-01 1.00e-01 18 2.3 9.112e+08 9.041e+00 3.827e+10 1.00e+00 3.45e-77 3.45e-77 1.19e-65 1.00e+00 1.00e+00 1.00e-01 19 2.3 9.117e+07 9.046e+00 3.829e+09 1.00e+00 3.45e-77 2.59e-77 1.08e-66 1.00e+00 1.00e+00 1.00e-01 20 2.4 9.118e+06 9.050e+00 3.830e+08 1.00e+00 3.45e-77 1.73e-77 3.71e-68 1.00e+00 1.00e+00 1.00e-01 21 2.5 9.119e+05 9.054e+00 3.830e+07 1.00e+00 5.18e-77 1.73e-77 3.17e-69 1.00e+00 1.00e+00 1.00e-01 22 2.5 9.120e+04 9.058e+00 3.830e+06 1.00e+00 3.45e-77 1.73e-77 4.60e-70 1.00e+00 1.00e+00 1.00e-01 23 2.6 9.121e+03 9.061e+00 3.831e+05 1.00e+00 5.18e-77 3.45e-77 4.08e-71 1.00e+00 1.00e+00 1.00e-01 24 2.6 9.123e+02 9.064e+00 3.832e+04 1.00e+00 5.18e-77 2.59e-77 3.26e-72 1.00e+00 1.00e+00 1.00e-01 25 2.7 9.154e+01 9.069e+00 3.854e+03 9.95e-01 2.59e-77 4.32e-77 9.90e-73 9.96e-01 9.96e-01 1.00e-01 26 2.8 9.453e+00 9.090e+00 4.061e+02 9.56e-01 3.45e-77 2.59e-77 2.65e-74 9.67e-01 9.67e-01 1.00e-01 27 2.8 1.226e+00 9.266e+00 6.078e+01 7.35e-01 1.73e-77 2.59e-77 4.65e-75 8.41e-01 8.41e-01 1.00e-01 28 2.9 2.985e-01 1.028e+01 2.281e+01 3.79e-01 5.18e-77 2.59e-77 2.76e-75 7.57e-01 7.57e-01 1.00e-01 29 3.4 9.522e-02 1.184e+01 1.584e+01 1.45e-01 5.18e-77 2.59e-77 5.28e-75 5.18e-01 5.18e-01 1.00e-01 30 3.5 5.085e-02 1.263e+01 1.477e+01 7.79e-02 5.13e-77 2.59e-77 1.38e-74 6.13e-01 6.13e-01 1.00e-01 31 3.6 2.282e-02 1.280e+01 1.376e+01 3.61e-02 4.26e-77 2.59e-77 5.78e-75 8.46e-01 8.46e-01 1.00e-01 32 3.6 5.436e-03 1.307e+01 1.330e+01 8.66e-03 3.45e-77 1.73e-77 5.80e-75 8.46e-01 8.46e-01 1.00e-01 33 3.7 1.296e-03 1.314e+01 1.319e+01 2.07e-03 5.49e-77 3.45e-77 7.83e-74 8.17e-01 8.17e-01 1.00e-01 34 3.8 3.428e-04 1.315e+01 1.317e+01 5.47e-04 5.40e-77 2.59e-77 3.61e-73 8.07e-01 8.07e-01 1.00e-01 35 3.8 9.373e-05 1.316e+01 1.316e+01 1.50e-04 5.23e-77 2.59e-77 1.22e-72 7.58e-01 7.58e-01 1.00e-01 36 3.9 2.978e-05 1.316e+01 1.316e+01 4.75e-05 3.45e-77 1.73e-77 1.01e-72 8.83e-01 8.83e-01 1.00e-01 37 4.0 6.117e-06 1.316e+01 1.316e+01 9.76e-06 3.94e-77 1.73e-77 2.48e-72 8.72e-01 8.72e-01 1.00e-01 38 4.0 1.315e-06 1.316e+01 1.316e+01 2.10e-06 4.18e-77 3.45e-77 1.26e-72 9.01e-01 9.01e-01 1.00e-01 39 4.1 2.487e-07 1.316e+01 1.316e+01 3.97e-07 5.18e-77 2.59e-77 2.90e-72 9.70e-01 9.70e-01 1.00e-01 40 4.2 3.167e-08 1.316e+01 1.316e+01 5.05e-08 1.16e-76 2.59e-77 9.55e-72 9.98e-01 9.98e-01 1.00e-01 41 4.2 3.234e-09 1.316e+01 1.316e+01 5.16e-09 3.56e-77 1.73e-77 6.65e-72 9.98e-01 9.98e-01 1.00e-01 42 4.3 3.294e-10 1.316e+01 1.316e+01 5.26e-10 3.80e-77 1.73e-77 1.36e-71 1.00e+00 1.00e+00 1.00e-01 43 4.4 3.303e-11 1.316e+01 1.316e+01 5.27e-11 3.45e-77 1.73e-77 9.52e-72 1.00e+00 1.00e+00 1.00e-01 44 4.4 3.303e-12 1.316e+01 1.316e+01 5.27e-12 6.91e-77 3.45e-77 5.39e-72 1.00e+00 1.00e+00 1.00e-01 45 4.5 3.304e-13 1.316e+01 1.316e+01 5.27e-13 5.58e-77 3.45e-77 8.04e-72 1.00e+00 1.00e+00 1.00e-01 46 4.5 3.304e-14 1.316e+01 1.316e+01 5.27e-14 6.91e-77 2.59e-77 1.18e-71 1.00e+00 1.00e+00 1.00e-01 47 4.6 3.304e-15 1.316e+01 1.316e+01 5.27e-15 7.09e-77 1.73e-77 1.04e-71 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 4.616560 seconds (5.52 M allocations: 370.431 MiB, 40.76% gc time, 6.32% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:13.15831434739031265893880053659350892258371337947468558867385562429004886930754 Dual objective:13.15831434739029877940066451956160599663911455254874027555624079746193995868162 duality gap:5.274056299912673394771775508075154088958471419141516237251436606735544938770652e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.2 1.000e+20 1.585e-02 1.585e-02 0.00e+00 1.00e+10 3.02e+20 8.43e+10 7.03e-01 7.57e-01 3.00e-01 2 0.3 4.190e+19 -2.320e+10 -2.620e+08 9.78e-01 2.97e+09 8.99e+19 2.04e+10 7.89e-01 7.78e-01 3.00e-01 3 0.4 1.306e+19 -4.643e+10 -1.742e+09 9.28e-01 6.28e+08 1.90e+19 4.53e+09 8.17e-01 7.43e-01 3.00e-01 4 1.0 3.686e+18 -7.438e+10 -1.494e+09 9.61e-01 1.15e+08 3.48e+18 1.17e+09 8.25e-01 8.15e-01 3.00e-01 5 1.1 9.725e+17 -1.038e+11 1.515e+08 1.00e+00 2.01e+07 6.09e+17 2.16e+08 7.94e-01 7.63e-01 3.00e-01 6 1.2 3.020e+17 -1.438e+11 3.329e+09 1.05e+00 4.16e+06 1.26e+17 5.11e+07 7.09e-01 7.99e-01 3.00e-01 7 1.3 1.203e+17 -1.906e+11 1.626e+10 1.19e+00 1.21e+06 3.65e+16 1.03e+07 7.49e-01 8.14e-01 3.00e-01 8 1.4 4.286e+16 -2.882e+11 3.009e+10 1.23e+00 3.03e+05 9.15e+15 1.92e+06 7.63e-01 8.17e-01 3.00e-01 9 1.5 1.468e+16 -4.788e+11 5.004e+10 1.23e+00 7.18e+04 2.17e+15 3.51e+05 7.82e-01 6.89e-01 3.00e-01 10 1.6 4.729e+15 -8.435e+11 8.455e+10 1.22e+00 1.57e+04 4.74e+14 1.09e+05 6.46e-01 6.36e-01 3.00e-01 11 1.7 2.321e+15 -1.155e+12 1.377e+11 1.27e+00 5.54e+03 1.67e+14 3.98e+04 6.72e-01 6.11e-01 3.00e-01 12 1.8 1.063e+15 -1.592e+12 1.951e+11 1.28e+00 1.81e+03 5.49e+13 1.55e+04 5.62e-01 9.01e-01 3.00e-01 13 2.0 6.779e+14 -2.021e+12 2.787e+11 1.32e+00 7.94e+02 2.40e+13 1.53e+03 8.24e-01 9.11e-01 3.00e-01 14 2.1 1.835e+14 -5.984e+12 4.300e+11 1.15e+00 1.40e+02 4.23e+12 1.36e+02 8.55e-01 1.00e+00 3.00e-01 15 2.2 4.247e+13 -1.546e+13 6.864e+11 1.09e+00 2.03e+01 6.13e+11 1.48e-48 8.97e-01 1.00e+00 3.00e-01 16 2.3 7.181e+12 -1.302e+13 1.093e+12 1.18e+00 2.08e+00 6.30e+10 5.96e-48 8.89e-01 1.00e+00 3.00e-01 17 2.4 1.329e+12 -3.359e+12 1.724e+12 3.11e+00 2.31e-01 6.99e+09 5.68e-49 8.33e-01 1.00e+00 3.00e-01 18 2.5 3.857e+11 -8.933e+11 2.306e+12 2.26e+00 3.86e-02 1.17e+09 1.05e-47 7.07e-01 1.00e+00 3.00e-01 19 2.6 1.766e+11 -3.434e+11 1.375e+12 1.67e+00 1.13e-02 3.42e+08 3.65e-48 8.44e-01 8.41e-01 3.00e-01 20 2.7 4.903e+10 -9.837e+10 7.115e+11 1.32e+00 1.77e-03 5.34e+07 3.63e-47 8.56e-01 1.00e+00 3.00e-01 21 2.8 1.622e+10 -2.672e+10 4.770e+11 1.12e+00 2.54e-04 7.67e+06 2.78e-47 7.71e-01 1.00e+00 3.00e-01 22 2.9 5.589e+09 -9.867e+09 1.839e+11 1.11e+00 5.81e-05 1.76e+06 8.85e-48 8.65e-01 8.10e-01 3.00e-01 23 3.0 2.102e+09 -2.786e+09 8.647e+10 1.07e+00 7.86e-06 2.38e+05 7.51e-49 7.54e-01 1.00e+00 3.00e-01 24 3.1 6.491e+08 -1.160e+09 2.539e+10 1.10e+00 1.93e-06 5.84e+04 7.25e-49 9.04e-01 9.19e-01 3.00e-01 25 3.3 2.210e+08 -2.876e+08 9.863e+09 1.06e+00 1.86e-07 5.62e+03 2.62e-48 9.41e-01 1.00e+00 3.00e-01 26 3.4 6.517e+07 -7.947e+07 3.067e+09 1.05e+00 1.11e-08 3.34e+02 2.14e-47 1.00e+00 1.00e+00 3.00e-01 27 3.5 1.954e+07 -1.955e+07 9.380e+08 1.04e+00 1.16e-63 5.58e-45 2.16e-47 1.00e+00 1.00e+00 3.00e-01 28 3.6 5.862e+06 -5.862e+06 2.814e+08 1.04e+00 1.03e-63 4.84e-43 3.36e-48 1.00e+00 1.00e+00 1.00e-01 29 3.7 5.873e+05 -5.873e+05 2.819e+07 1.04e+00 7.88e-64 5.71e-43 9.96e-50 1.00e+00 1.00e+00 1.00e-01 30 4.3 5.874e+04 -5.874e+04 2.819e+06 1.04e+00 1.04e-63 1.14e-43 1.88e-50 1.00e+00 1.00e+00 1.00e-01 31 4.4 5.874e+03 -5.874e+03 2.820e+05 1.04e+00 1.23e-63 1.95e-43 8.63e-52 1.00e+00 1.00e+00 1.00e-01 32 4.5 5.875e+02 -5.874e+02 2.820e+04 1.04e+00 1.28e-63 1.09e-43 1.04e-52 1.00e+00 1.00e+00 1.00e-01 33 4.6 5.876e+01 -5.866e+01 2.821e+03 1.04e+00 1.82e-63 7.02e-44 9.37e-54 1.00e+00 1.00e+00 1.00e-01 34 4.7 5.883e+00 -5.788e+00 2.825e+02 1.04e+00 2.27e-63 5.24e-43 7.05e-55 9.99e-01 9.99e-01 1.00e-01 35 4.8 5.954e-01 -4.995e-01 2.867e+01 1.04e+00 1.61e-63 3.62e-43 2.73e-55 9.88e-01 9.88e-01 1.00e-01 36 4.9 6.616e-02 3.259e-02 3.274e+00 9.80e-01 1.14e-63 1.22e-43 2.41e-55 9.22e-01 9.22e-01 1.00e-01 37 5.0 1.126e-02 1.068e-01 6.584e-01 5.52e-01 9.92e-64 2.38e-43 2.64e-55 8.48e-01 8.48e-01 1.00e-01 38 5.1 2.667e-03 1.882e-01 3.188e-01 1.31e-01 1.92e-63 4.78e-44 1.66e-55 8.38e-01 8.38e-01 1.00e-01 39 5.2 6.553e-04 2.394e-01 2.715e-01 3.21e-02 1.46e-63 1.99e-42 6.31e-57 8.06e-01 8.06e-01 1.00e-01 40 5.3 1.798e-04 2.495e-01 2.583e-01 8.81e-03 1.55e-63 7.16e-43 4.75e-57 8.23e-01 8.23e-01 1.00e-01 41 5.4 4.661e-05 2.526e-01 2.549e-01 2.28e-03 1.22e-63 1.62e-43 7.44e-57 7.89e-01 7.89e-01 1.00e-01 42 5.5 1.350e-05 2.534e-01 2.540e-01 6.61e-04 1.15e-63 1.79e-42 1.81e-56 7.75e-01 7.75e-01 1.00e-01 43 5.6 4.080e-06 2.536e-01 2.538e-01 2.00e-04 1.06e-63 2.00e-42 8.39e-56 7.61e-01 7.61e-01 1.00e-01 44 5.7 1.286e-06 2.537e-01 2.538e-01 6.30e-05 1.48e-63 1.33e-42 4.63e-55 9.61e-01 9.61e-01 1.00e-01 45 5.8 1.739e-07 2.537e-01 2.537e-01 8.52e-06 2.06e-63 1.70e-42 7.86e-55 9.60e-01 9.60e-01 1.00e-01 46 5.9 2.369e-08 2.537e-01 2.537e-01 1.16e-06 1.92e-63 3.44e-43 7.40e-55 9.77e-01 9.77e-01 1.00e-01 47 6.0 2.854e-09 2.537e-01 2.537e-01 1.40e-07 1.46e-63 1.30e-42 3.66e-55 9.93e-01 9.93e-01 1.00e-01 48 6.1 3.031e-10 2.537e-01 2.537e-01 1.49e-08 1.26e-63 7.07e-43 8.75e-55 9.99e-01 9.99e-01 1.00e-01 49 6.3 3.050e-11 2.537e-01 2.537e-01 1.49e-09 1.72e-63 9.02e-43 9.66e-55 1.00e+00 1.00e+00 1.00e-01 50 6.4 3.051e-12 2.537e-01 2.537e-01 1.49e-10 1.11e-63 1.35e-43 3.74e-55 1.00e+00 1.00e+00 1.00e-01 51 6.5 3.051e-13 2.537e-01 2.537e-01 1.49e-11 1.52e-63 1.68e-42 4.98e-55 1.00e+00 1.00e+00 1.00e-01 52 6.6 3.051e-14 2.537e-01 2.537e-01 1.50e-12 1.39e-63 8.37e-43 3.78e-55 1.00e+00 1.00e+00 1.00e-01 53 6.7 3.052e-15 2.537e-01 2.537e-01 1.50e-13 9.78e-64 1.00e-42 6.71e-55 1.00e+00 1.00e+00 1.00e-01 54 6.8 3.052e-16 2.537e-01 2.537e-01 1.50e-14 1.43e-63 5.09e-43 1.48e-54 1.00e+00 1.00e+00 1.00e-01 55 6.9 3.052e-17 2.537e-01 2.537e-01 1.50e-15 1.63e-63 4.78e-43 3.80e-55 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 6.944907 seconds (7.91 M allocations: 466.681 MiB, 24.57% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.2537404272210648845822207130786057602344196344324280622091877289275526742818994 Dual objective:0.2537404272210647350119869192971316709325465255307679592634218158874952702195397 duality gap:1.495702337937814740893018731089016601029457659130400574040623597389486923131002e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 1.3 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 1.00e+00 8.43e+10 6.32e-01 5.24e-01 3.00e-01 2 2.0 5.118e+19 7.190e+07 1.164e+10 9.88e-01 3.68e+09 3.68e-01 4.01e+10 6.36e-01 6.99e-01 3.00e-01 3 2.7 2.570e+19 6.028e+07 2.506e+10 9.95e-01 1.34e+09 1.34e-01 1.21e+10 7.82e-01 7.56e-01 3.00e-01 4 3.3 8.263e+18 1.502e+07 4.098e+10 9.99e-01 2.93e+08 2.93e-02 2.94e+09 8.07e-01 8.00e-01 3.00e-01 5 3.9 2.367e+18 3.547e+06 6.396e+10 1.00e+00 5.64e+07 5.64e-03 5.87e+08 8.04e-01 7.46e-01 3.00e-01 6 4.7 7.008e+17 8.038e+05 9.568e+10 1.00e+00 1.11e+07 1.11e-03 1.49e+08 8.14e-01 7.81e-01 3.00e-01 7 5.8 1.972e+17 1.837e+05 1.446e+11 1.00e+00 2.06e+06 2.06e-04 3.27e+07 7.79e-01 7.96e-01 3.00e-01 8 6.4 6.361e+16 4.687e+04 2.206e+11 1.00e+00 4.56e+05 4.56e-05 6.67e+06 7.28e-01 7.70e-01 3.00e-01 9 7.1 2.470e+16 1.204e+04 3.288e+11 1.00e+00 1.24e+05 1.24e-05 1.54e+06 7.29e-01 7.91e-01 3.00e-01 10 7.7 9.586e+15 3.109e+03 5.041e+11 1.00e+00 3.37e+04 3.37e-06 3.21e+05 7.58e-01 7.85e-01 3.00e-01 11 8.5 3.375e+15 7.627e+02 8.164e+11 1.00e+00 8.17e+03 8.17e-07 6.90e+04 6.24e-01 7.24e-01 3.00e-01 12 9.5 1.763e+15 3.251e+02 1.508e+12 1.00e+00 3.07e+03 3.07e-07 1.91e+04 5.66e-01 4.74e-01 3.00e-01 13 10.1 1.006e+15 3.029e+02 2.709e+12 1.00e+00 1.33e+03 1.33e-07 1.00e+04 6.70e-01 6.86e-01 3.00e-01 14 10.7 4.647e+14 3.925e+02 4.272e+12 1.00e+00 4.40e+02 4.40e-08 3.14e+03 5.67e-01 6.23e-01 3.00e-01 15 11.4 2.709e+14 6.587e+02 6.050e+12 1.00e+00 1.91e+02 1.91e-08 1.18e+03 4.25e-01 9.14e-01 3.00e-01 16 12.1 2.367e+14 6.300e+01 9.859e+12 1.00e+00 1.10e+02 1.10e-08 1.01e+02 7.83e-01 1.00e+00 3.00e-01 17 13.3 8.205e+13 7.894e+01 1.584e+13 1.00e+00 2.37e+01 2.37e-09 4.66e-58 8.13e-01 1.00e+00 3.00e-01 18 14.0 2.463e+13 1.886e+01 2.504e+13 1.00e+00 4.43e+00 4.43e-10 1.16e-57 8.84e-01 1.00e+00 3.00e-01 19 14.6 4.808e+12 2.447e+00 3.732e+13 1.00e+00 5.16e-01 5.16e-11 4.36e-57 8.88e-01 1.00e+00 3.00e-01 20 15.3 1.084e+12 3.495e-01 3.941e+13 1.00e+00 5.77e-02 5.77e-12 4.85e-57 8.56e-01 1.00e+00 3.00e-01 21 16.0 3.431e+11 1.295e-01 2.400e+13 1.00e+00 8.33e-03 8.33e-13 1.17e-57 8.25e-01 1.00e+00 3.00e-01 22 17.1 1.158e+11 9.545e-02 1.061e+13 1.00e+00 1.46e-03 1.46e-13 6.16e-58 8.40e-01 8.07e-01 3.00e-01 23 17.8 4.557e+10 8.306e-02 4.818e+12 1.00e+00 2.34e-04 2.34e-14 8.01e-59 7.20e-01 1.00e+00 3.00e-01 24 18.5 1.417e+10 8.217e-02 1.436e+12 1.00e+00 6.54e-05 6.54e-15 3.80e-60 8.96e-01 8.18e-01 3.00e-01 25 19.1 5.688e+09 7.650e-02 6.445e+11 1.00e+00 6.79e-06 6.79e-16 3.25e-59 9.34e-01 1.00e+00 3.00e-01 26 19.8 1.690e+09 7.658e-02 1.988e+11 1.00e+00 4.49e-07 4.49e-17 3.98e-59 1.00e+00 1.00e+00 3.00e-01 27 20.9 5.061e+08 7.648e-02 6.022e+10 1.00e+00 3.98e-74 4.93e-51 1.73e-58 1.00e+00 1.00e+00 3.00e-01 28 21.6 1.518e+08 7.648e-02 1.807e+10 1.00e+00 3.48e-74 1.72e-51 2.70e-58 1.00e+00 1.00e+00 1.00e-01 29 22.3 1.524e+07 7.648e-02 1.814e+09 1.00e+00 2.13e-74 4.61e-51 1.10e-59 1.00e+00 1.00e+00 1.00e-01 30 23.0 1.524e+06 7.649e-02 1.814e+08 1.00e+00 2.85e-74 2.91e-51 6.53e-61 1.00e+00 1.00e+00 1.00e-01 31 23.6 1.525e+05 7.649e-02 1.814e+07 1.00e+00 2.45e-74 3.96e-51 2.68e-62 1.00e+00 1.00e+00 1.00e-01 32 24.7 1.525e+04 7.649e-02 1.814e+06 1.00e+00 4.29e-74 7.64e-51 1.69e-63 1.00e+00 1.00e+00 1.00e-01 33 25.4 1.525e+03 7.649e-02 1.815e+05 1.00e+00 2.36e-74 2.02e-51 1.93e-64 1.00e+00 1.00e+00 1.00e-01 34 26.0 1.525e+02 7.649e-02 1.815e+04 1.00e+00 3.22e-74 7.02e-51 3.78e-65 1.00e+00 1.00e+00 1.00e-01 35 26.7 1.529e+01 7.653e-02 1.820e+03 1.00e+00 1.53e-74 3.37e-51 1.44e-66 9.97e-01 9.97e-01 1.00e-01 36 27.4 1.564e+00 7.692e-02 1.862e+02 9.99e-01 3.83e-74 3.53e-51 4.51e-67 9.76e-01 9.76e-01 1.00e-01 37 28.5 1.897e-01 8.062e-02 2.266e+01 9.93e-01 4.51e-74 4.53e-51 3.70e-68 8.77e-01 8.77e-01 1.00e-01 38 29.1 3.990e-02 1.073e-01 4.856e+00 9.57e-01 3.39e-74 9.79e-51 1.31e-68 9.21e-01 9.21e-01 1.00e-01 39 29.8 6.811e-03 1.612e-01 9.717e-01 7.15e-01 4.59e-74 3.90e-51 1.54e-68 8.71e-01 8.71e-01 1.00e-01 40 30.4 1.473e-03 2.059e-01 3.812e-01 1.75e-01 2.91e-74 6.19e-51 1.10e-68 8.63e-01 8.63e-01 1.00e-01 41 31.1 3.291e-04 2.437e-01 2.829e-01 3.92e-02 5.83e-74 5.61e-51 1.99e-69 8.93e-01 8.93e-01 1.00e-01 42 32.2 6.458e-05 2.517e-01 2.594e-01 7.69e-03 8.69e-74 1.40e-50 4.31e-69 8.48e-01 8.48e-01 1.00e-01 43 32.8 1.529e-05 2.532e-01 2.550e-01 1.82e-03 3.44e-74 7.20e-51 2.82e-68 8.38e-01 8.38e-01 1.00e-01 44 33.5 3.758e-06 2.536e-01 2.540e-01 4.47e-04 7.18e-74 5.11e-51 2.25e-67 8.60e-01 8.60e-01 1.00e-01 45 34.2 8.506e-07 2.537e-01 2.538e-01 1.01e-04 5.35e-74 7.24e-51 1.33e-66 9.32e-01 9.32e-01 1.00e-01 46 34.9 1.372e-07 2.537e-01 2.538e-01 1.63e-05 3.94e-74 3.11e-51 3.03e-66 9.60e-01 9.60e-01 1.00e-01 47 36.0 1.861e-08 2.537e-01 2.537e-01 2.21e-06 4.75e-74 7.02e-51 9.97e-67 9.53e-01 9.53e-01 1.00e-01 48 36.7 2.646e-09 2.537e-01 2.537e-01 3.15e-07 4.46e-74 5.81e-51 2.02e-66 9.65e-01 9.65e-01 1.00e-01 49 37.3 3.469e-10 2.537e-01 2.537e-01 4.13e-08 4.05e-74 5.86e-51 4.41e-66 9.73e-01 9.73e-01 1.00e-01 50 38.0 4.314e-11 2.537e-01 2.537e-01 5.13e-09 3.92e-74 3.60e-51 2.54e-66 9.75e-01 9.75e-01 1.00e-01 51 38.7 5.269e-12 2.537e-01 2.537e-01 6.27e-10 4.03e-74 4.55e-51 7.13e-66 9.79e-01 9.79e-01 1.00e-01 52 39.8 6.243e-13 2.537e-01 2.537e-01 7.43e-11 4.26e-74 5.97e-51 9.95e-64 9.96e-01 9.96e-01 1.00e-01 53 40.4 6.487e-14 2.537e-01 2.537e-01 7.72e-12 5.46e-74 3.96e-51 3.93e-63 1.00e+00 1.00e+00 1.00e-01 54 41.0 6.499e-15 2.537e-01 2.537e-01 7.73e-13 6.01e-74 5.44e-51 2.72e-62 1.00e+00 1.00e+00 1.00e-01 55 41.7 6.501e-16 2.537e-01 2.537e-01 7.74e-14 3.34e-74 2.01e-51 2.77e-61 1.00e+00 1.00e+00 1.00e-01 56 42.3 6.502e-17 2.537e-01 2.537e-01 7.74e-15 4.84e-74 3.54e-51 2.16e-60 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 42.352637 seconds (50.93 M allocations: 3.285 GiB, 18.92% gc time, 0.60% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.25374042722106534373529711210288176484812158752603623578513925679402715896607432331087753643 Dual objective:0.25374042722106456993447614835571378347619703754699191513377655040250542351844025481569728206 duality gap:7.7380082096374716798137192454997904432065136270639152173544763406849518025437626604763071196e-16 [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.4 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 0.6 5.015e+05 5.164e+02 3.088e+03 7.13e-01 3.47e+02 0.00e+00 1.12e+06 4.22e-01 6.07e-01 3.00e-01 3 0.9 3.499e+05 6.688e+02 8.065e+03 8.47e-01 2.00e+02 0.00e+00 4.38e+05 5.84e-01 4.21e-01 3.00e-01 4 1.1 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 1.4 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.1 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.4 1.728e+04 2.822e+01 1.690e+05 1.00e+00 1.88e+00 0.00e+00 2.28e-66 8.75e-01 1.00e+00 3.00e-01 8 2.6 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 2.9 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.1 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 3.4 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 3.6 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 3.9 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.1 1.654e+00 8.507e+00 1.392e+02 8.85e-01 1.00e-73 0.00e+00 3.59e-69 9.78e-01 9.78e-01 1.00e-01 15 4.5 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 5.2 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.5 1.245e-02 9.486e+00 1.047e+01 4.93e-02 3.84e-74 0.00e+00 2.62e-69 7.62e-01 7.62e-01 1.00e-01 18 5.7 3.917e-03 9.841e+00 1.015e+01 1.55e-02 6.66e-74 0.00e+00 6.69e-69 7.52e-01 7.52e-01 1.00e-01 19 6.0 1.267e-03 9.941e+00 1.004e+01 5.01e-03 1.18e-73 0.00e+00 3.31e-69 8.14e-01 8.14e-01 1.00e-01 20 6.2 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.5 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 6.8 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.0 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 7.3 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 7.6 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 8.3 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 8.6 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 8.8 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.1 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.3 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 9.6 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 9.8 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 9.823925 seconds (12.08 M allocations: 801.455 MiB, 25.83% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:10.0000000000000046419724074448082497942161656245626939603359779955727984532867 Dual objective:9.999999999999988697806312364629586633761075931040260493586399230528324306359606 duality gap:7.972083047540091986372085578494245942129327859993373175844167487250928694314984e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.1 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.1 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.1 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.2 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.2 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.2 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.2 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.2 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.2 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.2 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.2 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.2 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.2 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.3 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.3 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.3 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.3 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.3 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.3 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.3 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.3 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.3 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.3 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.3 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.3 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.3 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.3 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.4 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.4 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.4 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.4 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.4 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.4 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.4 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.4 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.4 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.416495 seconds (32.31 k allocations: 3.055 MiB, 82.75% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 1.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.1 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 8.43e-81 1.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.1 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 1.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 1.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 3.37e-80 1.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 1.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 1.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 1.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 2.70e-79 9.95e+01 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 9.50e+00 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 5.00e-01 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 5.40e-79 0.00e+00 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 14 0.2 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 1.35e-79 2.45e-91 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 1.69e-80 1.23e-90 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 2.64e-82 1.23e-90 1.00e+00 1.00e+00 1.00e-01 18 0.2 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 1.65e-83 9.82e-91 1.00e+00 1.00e+00 1.00e-01 19 0.2 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 1.03e-84 7.36e-91 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 1.61e-86 4.91e-91 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 7.36e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 1.10e-88 9.82e-91 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 1.77e-89 4.91e-91 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 9.82e-91 9.82e-91 1.47e-90 9.25e-01 9.25e-01 1.00e-01 26 0.3 4.423e-02 1.057e+00 9.685e-01 4.37e-02 4.91e-91 9.82e-91 1.47e-90 9.82e-01 9.82e-01 1.00e-01 27 0.3 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 9.82e-91 4.91e-91 9.90e-01 9.90e-01 1.00e-01 28 0.3 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 9.82e-91 2.45e-90 9.98e-01 9.98e-01 1.00e-01 29 0.3 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 1.96e-90 4.91e-91 1.00e+00 1.00e+00 1.00e-01 30 0.3 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.3 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 9.82e-91 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.3 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 33 0.3 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 34 0.3 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 9.82e-91 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.3 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 1.96e-90 1.47e-90 1.00e+00 1.00e+00 1.00e-01 36 0.3 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 9.82e-91 4.91e-91 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 38 0.4 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 1.96e-90 1.96e-90 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 9.82e-91 1.58e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.358169 seconds (36.10 k allocations: 3.241 MiB, 83.89% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.99999999999999943082767216337127209759143460468258988906557772435476604996095098262648013301 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279658 duality gap:5.6917232783663520704518407084868243898485833877975145389337569723019498653208233770743335244e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.5 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.5 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.5 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.6 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.6 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.6 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.6 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.6 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.6 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.6 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.6 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.7 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.7 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.7 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.7 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.7 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.7 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.7 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.7 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.7 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.7 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.7 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.8 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.8 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.8 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.8 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.8 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.8 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.8 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.8 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.8 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.8 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.8 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.9 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.9 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.9 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.9 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.9 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.9 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.911388 seconds (475.79 k allocations: 26.977 MiB, 36.24% gc time, 48.34% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.0 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.1 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.1 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.1 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.2 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.2 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.2 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.2 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.2 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.3 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.3 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.3 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.3 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.3 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.3 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.3 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.3 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.3 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.318748 seconds (32.35 k allocations: 3.059 MiB, 83.64% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.0 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.0 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.0 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.1 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.2 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.2 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.3 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.3 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.3 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.3 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 0.3 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 0.3 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.3 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.3 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.3 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.3 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.3 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.3 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.356919 seconds (38.16 k allocations: 3.311 MiB, 80.81% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Dual objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.3 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 0.3 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 0.3 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 0.4 8.970e+18 3.260e+10 1.789e+11 6.92e-01 3.78e+08 0.00e+00 1.12e+09 7.73e-01 1.00e+00 3.00e-01 5 0.4 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 5.40e-143 8.40e-01 1.00e+00 3.00e-01 6 0.4 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 4.83e-142 8.95e-01 1.00e+00 3.00e-01 7 0.4 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 1.64e-141 8.90e-01 1.00e+00 3.00e-01 8 0.4 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 4.65e-141 8.97e-01 1.00e+00 3.00e-01 9 0.5 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 1.65e-141 8.94e-01 1.00e+00 3.00e-01 10 0.5 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 9.24e-141 8.99e-01 1.00e+00 3.00e-01 11 0.5 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 1.33e-140 8.99e-01 1.00e+00 3.00e-01 12 0.5 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 2.41e-140 9.13e-01 1.00e+00 3.00e-01 13 0.5 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 3.81e-140 1.00e+00 1.00e+00 3.00e-01 14 0.5 1.007e+12 1.188e+02 1.410e+13 1.00e+00 1.91e-152 0.00e+00 5.64e-140 1.00e+00 1.00e+00 3.00e-01 15 0.6 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 1.13e-141 9.99e-01 9.99e-01 1.00e-01 16 0.6 3.062e+10 1.199e+02 4.287e+11 1.00e+00 9.55e-153 0.00e+00 1.78e-142 1.00e+00 1.00e+00 1.00e-01 17 0.6 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 1.64e-143 1.00e+00 1.00e+00 1.00e-01 18 0.6 3.063e+08 1.201e+02 4.288e+09 1.00e+00 9.55e-153 0.00e+00 9.06e-144 1.00e+00 1.00e+00 1.00e-01 19 0.6 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 8.40e-145 1.00e+00 1.00e+00 1.00e-01 20 0.6 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 1.58e-146 1.00e+00 1.00e+00 1.00e-01 21 0.7 3.064e+05 1.203e+02 4.290e+06 1.00e+00 1.91e-152 0.00e+00 1.26e-147 1.00e+00 1.00e+00 1.00e-01 22 0.7 3.065e+04 1.203e+02 4.292e+05 9.99e-01 9.55e-153 0.00e+00 6.06e-148 1.00e+00 1.00e+00 1.00e-01 23 0.7 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 8.41e-149 9.97e-01 9.97e-01 1.00e-01 24 0.7 3.167e+02 1.211e+02 4.554e+03 9.48e-01 9.55e-153 0.00e+00 7.08e-150 9.70e-01 9.70e-01 1.00e-01 25 0.7 4.021e+01 1.274e+02 6.904e+02 6.88e-01 1.91e-152 0.00e+00 1.60e-150 8.70e-01 8.70e-01 1.00e-01 26 0.8 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 3.37e-150 9.15e-01 9.15e-01 1.00e-01 27 0.8 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 1.03e-150 9.82e-01 9.82e-01 1.00e-01 28 0.8 1.800e-01 2.389e+02 2.414e+02 5.25e-03 1.91e-152 0.00e+00 2.39e-151 9.89e-01 9.89e-01 1.00e-01 29 0.8 1.986e-02 2.399e+02 2.401e+02 5.79e-04 3.82e-152 0.00e+00 1.47e-151 9.97e-01 9.97e-01 1.00e-01 30 0.8 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 8.98e-151 1.00e+00 1.00e+00 1.00e-01 31 0.8 2.034e-04 2.400e+02 2.400e+02 5.93e-06 1.91e-152 0.00e+00 1.09e-150 1.00e+00 1.00e+00 1.00e-01 32 0.9 2.035e-05 2.400e+02 2.400e+02 5.93e-07 3.82e-152 0.00e+00 6.51e-151 1.00e+00 1.00e+00 1.00e-01 33 0.9 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 1.55e-150 1.00e+00 1.00e+00 1.00e-01 34 0.9 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 1.48e-150 1.00e+00 1.00e+00 1.00e-01 35 0.9 2.035e-08 2.400e+02 2.400e+02 5.94e-10 1.91e-152 0.00e+00 2.39e-151 1.00e+00 1.00e+00 1.00e-01 36 0.9 2.036e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 8.93e-151 1.00e+00 1.00e+00 1.00e-01 37 0.9 2.036e-10 2.400e+02 2.400e+02 5.94e-12 9.55e-153 0.00e+00 1.47e-150 1.00e+00 1.00e+00 1.00e-01 38 1.0 2.036e-11 2.400e+02 2.400e+02 5.94e-13 9.55e-153 0.00e+00 8.22e-151 1.00e+00 1.00e+00 1.00e-01 39 1.0 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 1.75e-150 1.00e+00 1.00e+00 1.00e-01 40 1.0 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 9.57e-151 1.00e+00 1.00e+00 1.00e-01 41 1.0 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 3.08e-150 1.00e+00 1.00e+00 1.00e-01 42 1.0 2.037e-15 2.400e+02 2.400e+02 5.94e-17 9.55e-153 0.00e+00 2.07e-151 1.00e+00 1.00e+00 1.00e-01 43 1.0 2.037e-16 2.400e+02 2.400e+02 5.94e-18 1.91e-152 0.00e+00 4.68e-150 1.00e+00 1.00e+00 1.00e-01 44 1.1 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 7.11e-150 1.00e+00 1.00e+00 1.00e-01 45 1.1 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 3.26e-149 1.00e+00 1.00e+00 1.00e-01 46 1.1 2.038e-19 2.400e+02 2.400e+02 5.94e-21 1.91e-152 0.00e+00 1.29e-148 1.00e+00 1.00e+00 1.00e-01 47 1.1 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 5.88e-149 1.00e+00 1.00e+00 1.00e-01 48 1.1 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 3.36e-148 1.00e+00 1.00e+00 1.00e-01 49 1.1 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 6.40e-148 1.00e+00 1.00e+00 1.00e-01 50 1.2 2.038e-23 2.400e+02 2.400e+02 5.95e-25 3.82e-152 0.00e+00 7.75e-148 1.00e+00 1.00e+00 1.00e-01 51 1.2 2.039e-24 2.400e+02 2.400e+02 5.95e-26 9.55e-153 0.00e+00 5.57e-147 1.00e+00 1.00e+00 1.00e-01 52 1.2 2.039e-25 2.400e+02 2.400e+02 5.95e-27 3.82e-152 0.00e+00 2.99e-147 1.00e+00 1.00e+00 1.00e-01 53 1.2 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 1.30e-146 1.00e+00 1.00e+00 1.00e-01 54 1.2 2.039e-27 2.400e+02 2.400e+02 5.95e-29 1.91e-152 0.00e+00 5.92e-146 1.00e+00 1.00e+00 1.00e-01 55 1.2 2.039e-28 2.400e+02 2.400e+02 5.95e-30 1.91e-152 0.00e+00 6.39e-146 1.00e+00 1.00e+00 1.00e-01 56 1.3 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 1.75e-145 1.00e+00 1.00e+00 1.00e-01 57 1.3 2.040e-30 2.400e+02 2.400e+02 5.95e-32 1.91e-152 0.00e+00 2.81e-146 1.00e+00 1.00e+00 1.00e-01 58 1.3 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 3.05e-145 1.00e+00 1.00e+00 1.00e-01 59 1.3 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 6.20e-145 1.00e+00 1.00e+00 1.00e-01 60 1.3 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 5.54e-145 1.00e+00 1.00e+00 1.00e-01 61 1.3 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 5.74e-144 1.00e+00 1.00e+00 1.00e-01 62 1.4 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 3.06e-144 1.00e+00 1.00e+00 1.00e-01 63 1.4 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 9.07e-144 1.00e+00 1.00e+00 1.00e-01 64 1.4 2.041e-37 2.400e+02 2.400e+02 5.95e-39 9.55e-153 0.00e+00 5.73e-144 1.00e+00 1.00e+00 1.00e-01 65 1.4 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 1.70e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.403078 seconds (869.91 k allocations: 55.036 MiB, 67.40% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291734391441841461982052618714169709112198575906205301821600343440097492709764264719303879950186962247233558106085 Dual objective:239.999999999999999999999999999999999999985708265608558158538017947381285830290923040390104588379049152398675114340709729944399091977210257881285605118222729 duality gap:5.95488932976743394249252192446423737878940795537533685891092665515937149000000671289141354283630261499137126984745236995372339480943211069205548830051355396e-41 ** Starting computation of basis transformations ** Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 5 of size 1 x 1 Block 2 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 6 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 3 x 3 Block B has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block A of size 4 x 4 Block A has 4 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (10.18548998s) ** ** Transforming the problem and the solution ** (6.319029306s) ** Projection the solution into the affine space ** Reducing the system from 7 columns to 7 columns Constructing the linear system... (8.58475696s) Preprocessing to get an integer system... (0.000114528s) Finding the pivots of A using RREF mod p... (0.000186029 0.000101319 s) Solving the system of size 7 x 7 using the pseudoinverse... 0.820445394s ** Finished projection into affine space (12.411353144s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.180860846) [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.4 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 0.6 5.015e+05 5.164e+02 3.088e+03 7.13e-01 3.47e+02 0.00e+00 1.12e+06 4.22e-01 6.07e-01 3.00e-01 3 0.9 3.499e+05 6.688e+02 8.065e+03 8.47e-01 2.00e+02 0.00e+00 4.38e+05 5.84e-01 4.21e-01 3.00e-01 4 1.1 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 2.1 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.4 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.6 1.728e+04 2.822e+01 1.690e+05 1.00e+00 1.88e+00 0.00e+00 2.28e-66 8.75e-01 1.00e+00 3.00e-01 8 2.9 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 3.1 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.4 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 3.6 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 3.9 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 4.1 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.4 1.654e+00 8.507e+00 1.392e+02 8.85e-01 1.00e-73 0.00e+00 3.59e-69 9.78e-01 9.78e-01 1.00e-01 15 4.6 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 4.9 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.8 1.245e-02 9.486e+00 1.047e+01 4.93e-02 3.84e-74 0.00e+00 2.62e-69 7.62e-01 7.62e-01 1.00e-01 18 6.0 3.917e-03 9.841e+00 1.015e+01 1.55e-02 6.66e-74 0.00e+00 6.69e-69 7.52e-01 7.52e-01 1.00e-01 19 6.3 1.267e-03 9.941e+00 1.004e+01 5.01e-03 1.18e-73 0.00e+00 3.31e-69 8.14e-01 8.14e-01 1.00e-01 20 6.5 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.8 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 7.0 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.3 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 7.5 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 7.8 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 8.0 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 8.3 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 8.6 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.5 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.8 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 10.0 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 10.2 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 33 10.5 2.018e-16 1.000e+01 1.000e+01 7.97e-16 1.06e-73 0.00e+00 2.48e-69 1.00e+00 1.00e+00 1.00e-01 34 10.7 2.018e-17 1.000e+01 1.000e+01 7.97e-17 8.57e-74 0.00e+00 1.04e-68 1.00e+00 1.00e+00 1.00e-01 35 11.0 2.019e-18 1.000e+01 1.000e+01 7.97e-18 1.53e-73 0.00e+00 1.01e-68 1.00e+00 1.00e+00 1.00e-01 36 11.3 2.019e-19 1.000e+01 1.000e+01 7.97e-19 2.09e-73 0.00e+00 7.46e-69 1.00e+00 1.00e+00 1.00e-01 37 11.5 2.019e-20 1.000e+01 1.000e+01 7.98e-20 7.79e-74 0.00e+00 1.06e-68 1.00e+00 1.00e+00 1.00e-01 38 11.8 2.019e-21 1.000e+01 1.000e+01 7.98e-21 1.18e-73 0.00e+00 5.27e-69 1.00e+00 1.00e+00 1.00e-01 39 12.0 2.019e-22 1.000e+01 1.000e+01 7.98e-22 3.59e-74 0.00e+00 1.50e-68 1.00e+00 1.00e+00 1.00e-01 40 12.3 2.020e-23 1.000e+01 1.000e+01 7.98e-23 2.51e-73 0.00e+00 9.26e-69 1.00e+00 1.00e+00 1.00e-01 41 13.2 2.020e-24 1.000e+01 1.000e+01 7.98e-24 2.20e-73 0.00e+00 6.34e-69 1.00e+00 1.00e+00 1.00e-01 42 13.4 2.020e-25 1.000e+01 1.000e+01 7.98e-25 1.82e-73 0.00e+00 7.06e-68 1.00e+00 1.00e+00 1.00e-01 43 13.7 2.020e-26 1.000e+01 1.000e+01 7.98e-26 9.12e-74 0.00e+00 1.15e-67 1.00e+00 1.00e+00 1.00e-01 44 13.9 2.020e-27 1.000e+01 1.000e+01 7.98e-27 7.13e-74 0.00e+00 3.77e-68 1.00e+00 1.00e+00 1.00e-01 45 14.2 2.021e-28 1.000e+01 1.000e+01 7.98e-28 2.41e-73 0.00e+00 3.80e-67 1.00e+00 1.00e+00 1.00e-01 46 14.4 2.021e-29 1.000e+01 1.000e+01 7.98e-29 1.08e-73 0.00e+00 2.58e-67 1.00e+00 1.00e+00 1.00e-01 47 14.7 2.021e-30 1.000e+01 1.000e+01 7.98e-30 1.40e-73 0.00e+00 6.93e-67 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 14.680780 seconds (17.72 M allocations: 1.147 GiB, 28.02% gc time, 0.14% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:10.0000000000000000000000000000046489405146108261082604283244516865152603560218 Dual objective:9.999999999999999999999999999988680840486164945127713739788275650369666256828954 duality gap:7.984050014222940490273344268090680840901830913002519384164968896587007525658183e-31 ** Starting computation of basis transformations ** Block (:trivariatesos, 2, 2) of size 1 x 1 Block (:F, 4) of size 1 x 1 Block (:F, 4) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 4, 3) of size 1 x 1 Block (:trivariatesos, 4, 1) of size 2 x 2 Block (:trivariatesos, 1, 2) of size 2 x 2 Block (:F, 3) of size 2 x 2 Block (:F, 3) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 3, 3) of size 3 x 3 Block (:trivariatesos, 3, 3) has 1 kernel vectors. The maximum numerator and denominator are 7 and 6 After reduction, the maximum number of the basis transformation matrix is 7 Block (:F, 2) of size 3 x 3 Block (:F, 2) has 1 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 5, 3) of size 3 x 3 Block (:trivariatesos, 5, 3) has 2 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 3, 1) of size 4 x 4 Block (:trivariatesos, 3, 1) has 1 kernel vectors. The maximum numerator and denominator are 49 and 36 After reduction, the maximum number of the basis transformation matrix is 49 Block (:univariatesos, 2) of size 4 x 4 Block (:univariatesos, 2) has 1 kernel vectors. The maximum numerator and denominator are 22 and 27 After reduction, the maximum number of the basis transformation matrix is 27 Block (:trivariatesos, 5, 1) of size 4 x 4 Block (:trivariatesos, 5, 1) has 3 kernel vectors. The maximum numerator and denominator are 1 and 6 After reduction, the maximum number of the basis transformation matrix is 3 Block (:F, 1) of size 4 x 4 Block (:F, 0) of size 5 x 5 Block (:F, 0) has 1 kernel vectors. The maximum numerator and denominator are 23 and 144 After reduction, the maximum number of the basis transformation matrix is 144 Block (:univariatesos, 1) of size 5 x 5 Block (:univariatesos, 1) has 2 kernel vectors. The maximum numerator and denominator are 35 and 81 After reduction, the maximum number of the basis transformation matrix is 81 Block (:trivariatesos, 2, 3) of size 6 x 6 Block (:trivariatesos, 2, 3) has 2 kernel vectors. The maximum numerator and denominator are 13 and 36 After reduction, the maximum number of the basis transformation matrix is 36 Block (:trivariatesos, 2, 1) of size 7 x 7 Block (:trivariatesos, 2, 1) has 2 kernel vectors. The maximum numerator and denominator are 67 and 36 After reduction, the maximum number of the basis transformation matrix is 66 Block (:trivariatesos, 1, 3) of size 11 x 11 Block (:trivariatesos, 1, 3) has 2 kernel vectors. The maximum numerator and denominator are 67 and 72 After reduction, the maximum number of the basis transformation matrix is 72 Block (:trivariatesos, 1, 1) of size 11 x 11 Block (:trivariatesos, 1, 1) has 3 kernel vectors. The maximum numerator and denominator are 49 and 432 After reduction, the maximum number of the basis transformation matrix is 432 ** Finished computation of basis transformations (8.968151121s) ** ** Transforming the problem and the solution ** (1.898355985s) ** Projection the solution into the affine space ** Reducing the system from 161 columns to 161 columns Constructing the linear system... (3.162634858s) Preprocessing to get an integer system... (0.028124114s) Finding the pivots of A using RREF mod p... (0.020496546 0.018778542 s) Solving the system of size 50 x 52 using the pseudoinverse... 0.33230665s ** Finished projection into affine space (4.775040634s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.321600321) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.2 1.000e+20 1.000e+00 1.900e+11 1.00e+00 1.00e+10 0.00e+00 2.18e+11 3.69e-01 5.95e-01 3.00e-01 2 0.2 6.494e+19 1.223e+10 1.739e+11 8.69e-01 6.31e+09 0.00e+00 8.84e+10 7.31e-01 6.03e-01 3.00e-01 3 0.3 2.817e+19 3.102e+10 2.208e+11 7.54e-01 1.70e+09 0.00e+00 3.51e+10 6.85e-01 7.10e-01 3.00e-01 4 0.3 1.230e+19 3.546e+10 3.600e+11 8.21e-01 5.34e+08 0.00e+00 1.02e+10 5.57e-01 1.00e+00 3.00e-01 5 0.5 8.216e+18 2.178e+10 8.065e+11 9.47e-01 2.37e+08 0.00e+00 3.31e-78 7.69e-01 1.00e+00 3.00e-01 6 1.1 3.035e+18 5.560e+09 1.290e+12 9.91e-01 5.47e+07 0.00e+00 2.96e-77 8.01e-01 1.00e+00 3.00e-01 7 1.2 9.665e+17 1.150e+09 2.064e+12 9.99e-01 1.09e+07 0.00e+00 4.49e-77 8.65e-01 1.00e+00 3.00e-01 8 1.3 2.092e+17 1.573e+08 3.302e+12 1.00e+00 1.47e+06 0.00e+00 1.93e-76 8.98e-01 1.00e+00 3.00e-01 9 1.3 3.428e+16 1.603e+07 5.284e+12 1.00e+00 1.51e+05 0.00e+00 3.88e-77 8.88e-01 1.00e+00 3.00e-01 10 1.4 6.127e+15 1.797e+06 8.453e+12 1.00e+00 1.68e+04 0.00e+00 9.12e-77 8.99e-01 1.00e+00 3.00e-01 11 1.4 9.935e+14 1.816e+05 1.352e+13 1.00e+00 1.71e+03 0.00e+00 4.02e-77 8.93e-01 1.00e+00 3.00e-01 12 1.5 1.699e+14 1.946e+04 2.163e+13 1.00e+00 1.82e+02 0.00e+00 7.58e-76 9.00e-01 1.00e+00 3.00e-01 13 1.6 2.794e+13 2.009e+03 3.442e+13 1.00e+00 1.82e+01 0.00e+00 2.12e-75 8.98e-01 1.00e+00 3.00e-01 14 1.6 5.597e+12 2.662e+02 5.231e+13 1.00e+00 1.86e+00 0.00e+00 2.60e-75 8.79e-01 1.00e+00 3.00e-01 15 1.7 2.030e+12 9.171e+01 5.562e+13 1.00e+00 2.25e-01 0.00e+00 1.13e-75 7.97e-01 1.00e+00 3.00e-01 16 1.7 7.056e+11 7.350e+01 2.417e+13 1.00e+00 4.58e-02 0.00e+00 3.91e-76 8.24e-01 1.00e+00 3.00e-01 17 1.8 2.136e+11 7.073e+01 7.703e+12 1.00e+00 8.06e-03 0.00e+00 1.58e-76 1.00e+00 1.00e+00 3.00e-01 18 1.9 6.305e+10 6.979e+01 2.396e+12 1.00e+00 6.28e-89 0.00e+00 2.17e-75 1.00e+00 1.00e+00 3.00e-01 19 1.9 1.891e+10 6.985e+01 7.188e+11 1.00e+00 6.28e-89 0.00e+00 9.84e-75 9.94e-01 9.94e-01 1.00e-01 20 2.0 1.996e+09 6.986e+01 7.583e+10 1.00e+00 3.14e-89 0.00e+00 6.49e-77 1.00e+00 1.00e+00 1.00e-01 21 2.0 2.003e+08 6.986e+01 7.613e+09 1.00e+00 6.28e-89 0.00e+00 4.03e-77 1.00e+00 1.00e+00 1.00e-01 22 2.1 2.005e+07 6.987e+01 7.619e+08 1.00e+00 3.14e-89 0.00e+00 1.24e-78 1.00e+00 1.00e+00 1.00e-01 23 2.2 2.005e+06 6.987e+01 7.619e+07 1.00e+00 6.28e-89 0.00e+00 5.88e-80 1.00e+00 1.00e+00 1.00e-01 24 2.2 2.005e+05 6.988e+01 7.620e+06 1.00e+00 6.28e-89 0.00e+00 3.06e-80 1.00e+00 1.00e+00 1.00e-01 25 2.3 2.006e+04 6.988e+01 7.622e+05 1.00e+00 3.14e-89 0.00e+00 1.14e-81 1.00e+00 1.00e+00 1.00e-01 26 2.3 2.008e+03 6.989e+01 7.636e+04 9.98e-01 6.28e-89 0.00e+00 1.58e-82 9.99e-01 9.99e-01 1.00e-01 27 2.4 2.026e+02 6.998e+01 7.769e+03 9.82e-01 6.28e-89 0.00e+00 1.22e-83 9.90e-01 9.90e-01 1.00e-01 28 2.5 2.205e+01 7.086e+01 9.088e+02 8.55e-01 6.28e-89 0.00e+00 3.01e-84 9.26e-01 9.26e-01 1.00e-01 29 2.5 3.667e+00 7.788e+01 2.172e+02 4.72e-01 6.28e-89 0.00e+00 2.44e-84 8.10e-01 8.10e-01 1.00e-01 30 2.6 9.926e-01 1.015e+02 1.392e+02 1.57e-01 3.14e-89 0.00e+00 4.21e-84 6.72e-01 6.72e-01 1.00e-01 31 2.7 3.920e-01 1.120e+02 1.269e+02 6.23e-02 1.26e-88 0.00e+00 1.67e-84 8.04e-01 8.04e-01 1.00e-01 32 2.7 1.082e-01 1.179e+02 1.220e+02 1.71e-02 1.89e-88 0.00e+00 6.25e-85 8.72e-01 8.72e-01 1.00e-01 33 2.8 2.331e-02 1.195e+02 1.204e+02 3.69e-03 6.28e-89 0.00e+00 1.90e-84 9.67e-01 9.67e-01 1.00e-01 34 2.8 3.027e-03 1.199e+02 1.201e+02 4.79e-04 1.26e-88 0.00e+00 4.98e-84 9.83e-01 9.83e-01 1.00e-01 35 2.9 3.478e-04 1.200e+02 1.200e+02 5.51e-05 6.28e-89 0.00e+00 3.35e-84 9.94e-01 9.94e-01 1.00e-01 36 3.0 3.681e-05 1.200e+02 1.200e+02 5.83e-06 1.26e-88 0.00e+00 2.41e-84 9.99e-01 9.99e-01 1.00e-01 37 3.0 3.725e-06 1.200e+02 1.200e+02 5.90e-07 6.28e-89 0.00e+00 4.22e-85 1.00e+00 1.00e+00 1.00e-01 38 3.1 3.731e-07 1.200e+02 1.200e+02 5.91e-08 6.28e-89 0.00e+00 4.96e-84 1.00e+00 1.00e+00 1.00e-01 39 3.1 3.732e-08 1.200e+02 1.200e+02 5.91e-09 6.28e-89 0.00e+00 6.14e-85 1.00e+00 1.00e+00 1.00e-01 40 3.2 3.733e-09 1.200e+02 1.200e+02 5.91e-10 6.28e-89 0.00e+00 1.18e-84 1.00e+00 1.00e+00 1.00e-01 41 3.3 3.733e-10 1.200e+02 1.200e+02 5.91e-11 3.14e-89 0.00e+00 3.06e-84 1.00e+00 1.00e+00 1.00e-01 42 3.3 3.733e-11 1.200e+02 1.200e+02 5.91e-12 6.28e-89 0.00e+00 5.73e-84 1.00e+00 1.00e+00 1.00e-01 43 3.4 3.734e-12 1.200e+02 1.200e+02 5.91e-13 6.28e-89 0.00e+00 2.71e-84 1.00e+00 1.00e+00 1.00e-01 44 3.4 3.734e-13 1.200e+02 1.200e+02 5.91e-14 1.26e-88 0.00e+00 3.64e-85 1.00e+00 1.00e+00 1.00e-01 45 3.5 3.734e-14 1.200e+02 1.200e+02 5.91e-15 6.28e-89 0.00e+00 3.72e-84 1.00e+00 1.00e+00 1.00e-01 46 3.6 3.735e-15 1.200e+02 1.200e+02 5.91e-16 6.28e-89 0.00e+00 1.43e-83 1.00e+00 1.00e+00 1.00e-01 47 3.6 3.735e-16 1.200e+02 1.200e+02 5.91e-17 6.28e-89 0.00e+00 2.22e-83 1.00e+00 1.00e+00 1.00e-01 48 3.7 3.736e-17 1.200e+02 1.200e+02 5.91e-18 6.28e-89 0.00e+00 5.73e-83 1.00e+00 1.00e+00 1.00e-01 49 3.7 3.736e-18 1.200e+02 1.200e+02 5.92e-19 1.26e-88 0.00e+00 1.45e-82 1.00e+00 1.00e+00 1.00e-01 50 3.8 3.736e-19 1.200e+02 1.200e+02 5.92e-20 1.26e-88 0.00e+00 9.72e-83 1.00e+00 1.00e+00 1.00e-01 51 3.9 3.737e-20 1.200e+02 1.200e+02 5.92e-21 6.28e-89 0.00e+00 8.73e-83 1.00e+00 1.00e+00 1.00e-01 52 3.9 3.737e-21 1.200e+02 1.200e+02 5.92e-22 6.28e-89 0.00e+00 8.97e-82 1.00e+00 1.00e+00 1.00e-01 53 4.1 3.737e-22 1.200e+02 1.200e+02 5.92e-23 3.14e-89 0.00e+00 1.36e-81 1.00e+00 1.00e+00 1.00e-01 54 4.7 3.738e-23 1.200e+02 1.200e+02 5.92e-24 6.28e-89 0.00e+00 7.95e-81 1.00e+00 1.00e+00 1.00e-01 55 4.8 3.738e-24 1.200e+02 1.200e+02 5.92e-25 6.28e-89 0.00e+00 1.15e-80 1.00e+00 1.00e+00 1.00e-01 56 4.8 3.739e-25 1.200e+02 1.200e+02 5.92e-26 6.28e-89 0.00e+00 3.26e-81 1.00e+00 1.00e+00 1.00e-01 57 4.9 3.739e-26 1.200e+02 1.200e+02 5.92e-27 6.28e-89 0.00e+00 2.92e-80 1.00e+00 1.00e+00 1.00e-01 58 5.0 3.739e-27 1.200e+02 1.200e+02 5.92e-28 6.28e-89 0.00e+00 2.57e-80 1.00e+00 1.00e+00 1.00e-01 59 5.0 3.740e-28 1.200e+02 1.200e+02 5.92e-29 6.28e-89 0.00e+00 1.74e-79 1.00e+00 1.00e+00 1.00e-01 60 5.1 3.740e-29 1.200e+02 1.200e+02 5.92e-30 3.14e-89 0.00e+00 2.28e-79 1.00e+00 1.00e+00 1.00e-01 61 5.1 3.740e-30 1.200e+02 1.200e+02 5.92e-31 6.28e-89 0.00e+00 6.23e-79 1.00e+00 1.00e+00 1.00e-01 62 5.2 3.741e-31 1.200e+02 1.200e+02 5.92e-32 3.14e-89 0.00e+00 2.13e-78 1.00e+00 1.00e+00 1.00e-01 63 5.3 3.741e-32 1.200e+02 1.200e+02 5.92e-33 6.28e-89 0.00e+00 1.71e-78 1.00e+00 1.00e+00 1.00e-01 64 5.3 3.742e-33 1.200e+02 1.200e+02 5.92e-34 6.28e-89 0.00e+00 1.67e-78 1.00e+00 1.00e+00 1.00e-01 65 5.4 3.742e-34 1.200e+02 1.200e+02 5.92e-35 6.28e-89 0.00e+00 1.97e-78 1.00e+00 1.00e+00 1.00e-01 66 5.5 3.742e-35 1.200e+02 1.200e+02 5.93e-36 3.14e-89 0.00e+00 1.39e-77 1.00e+00 1.00e+00 1.00e-01 67 5.5 3.743e-36 1.200e+02 1.200e+02 5.93e-37 6.28e-89 0.00e+00 1.85e-77 1.00e+00 1.00e+00 1.00e-01 68 5.6 3.743e-37 1.200e+02 1.200e+02 5.93e-38 6.28e-89 0.00e+00 9.48e-77 1.00e+00 1.00e+00 1.00e-01 69 5.6 3.743e-38 1.200e+02 1.200e+02 5.93e-39 6.28e-89 0.00e+00 6.88e-77 1.00e+00 1.00e+00 1.00e-01 70 5.7 3.744e-39 1.200e+02 1.200e+02 5.93e-40 1.26e-88 0.00e+00 2.86e-76 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.697315 seconds (6.70 M allocations: 431.344 MiB, 45.47% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:120.00000000000000000000000000000000000000599073730540359812481005961417692658989302548191855 Dual objective:119.99999999999999999999999999999999999999176273620507005257838616803050672593897611158515414 duality gap:5.9283337918056439776766214931959169378821029493139321160776747113317617725618261892320355143e-41 ** Starting computation of basis transformations ** Block 14 of size 1 x 1 Block 11 of size 1 x 1 Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 8 of size 1 x 1 Block 5 of size 1 x 1 Block 16 of size 1 x 1 Block 2 of size 1 x 1 Block 13 of size 1 x 1 Block 10 of size 1 x 1 Block 7 of size 1 x 1 Block 18 of size 1 x 1 Block 15 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 12 of size 1 x 1 Block 12 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 9 of size 1 x 1 Block 6 of size 1 x 1 Block 17 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 9 x 9 Block B has 6 kernel vectors. The maximum numerator and denominator are 18 and 2 After reduction, the maximum number of the basis transformation matrix is 10 Block A of size 10 x 10 Block A has 8 kernel vectors. The maximum numerator and denominator are 12 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (15.908761216s) ** ** Transforming the problem and the solution ** (2.934177687s) ** Projection the solution into the affine space ** Reducing the system from 26 columns to 26 columns Constructing the linear system... (2.46752442s) Computing an approximate solution in the extension field... (0.568384206s) Preprocessing to get an integer system... (0.005636466s) Finding the pivots of A using RREF mod p... (0.00417479 0.004286709 s) Solving the system of size 38 x 40 using the pseudoinverse... 0.024305658s ** Finished projection into affine space (5.284819372s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.228966724) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.2 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 0.2 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 0.2 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 0.3 8.970e+18 3.260e+10 1.789e+11 6.92e-01 3.78e+08 0.00e+00 1.12e+09 7.73e-01 1.00e+00 3.00e-01 5 0.3 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 7.62e-143 8.40e-01 1.00e+00 3.00e-01 6 0.3 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 4.26e-142 8.95e-01 1.00e+00 3.00e-01 7 0.3 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 3.89e-141 8.90e-01 1.00e+00 3.00e-01 8 0.3 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 3.46e-141 8.97e-01 1.00e+00 3.00e-01 9 0.3 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 4.05e-141 8.94e-01 1.00e+00 3.00e-01 10 0.4 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 1.90e-141 8.99e-01 1.00e+00 3.00e-01 11 0.4 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 3.25e-140 8.99e-01 1.00e+00 3.00e-01 12 0.4 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 4.83e-140 9.13e-01 1.00e+00 3.00e-01 13 0.4 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 5.36e-140 1.00e+00 1.00e+00 3.00e-01 14 0.4 1.007e+12 1.188e+02 1.410e+13 1.00e+00 9.55e-153 0.00e+00 2.33e-140 1.00e+00 1.00e+00 3.00e-01 15 0.5 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 9.23e-142 9.99e-01 9.99e-01 1.00e-01 16 0.5 3.062e+10 1.199e+02 4.287e+11 1.00e+00 9.55e-153 0.00e+00 9.66e-142 1.00e+00 1.00e+00 1.00e-01 17 0.5 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 3.39e-144 1.00e+00 1.00e+00 1.00e-01 18 0.5 3.063e+08 1.201e+02 4.288e+09 1.00e+00 1.19e-153 0.00e+00 2.25e-144 1.00e+00 1.00e+00 1.00e-01 19 0.5 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 4.37e-145 1.00e+00 1.00e+00 1.00e-01 20 0.5 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 6.85e-146 1.00e+00 1.00e+00 1.00e-01 21 0.6 3.064e+05 1.203e+02 4.290e+06 1.00e+00 9.55e-153 0.00e+00 2.37e-147 1.00e+00 1.00e+00 1.00e-01 22 0.6 3.065e+04 1.203e+02 4.292e+05 9.99e-01 1.91e-152 0.00e+00 4.97e-148 1.00e+00 1.00e+00 1.00e-01 23 0.6 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 2.06e-149 9.97e-01 9.97e-01 1.00e-01 24 0.6 3.167e+02 1.211e+02 4.554e+03 9.48e-01 4.77e-153 0.00e+00 6.40e-150 9.70e-01 9.70e-01 1.00e-01 25 0.6 4.021e+01 1.274e+02 6.904e+02 6.88e-01 9.55e-153 0.00e+00 1.55e-151 8.70e-01 8.70e-01 1.00e-01 26 0.6 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 1.85e-150 9.15e-01 9.15e-01 1.00e-01 27 0.7 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 2.12e-151 9.82e-01 9.82e-01 1.00e-01 28 0.7 1.800e-01 2.389e+02 2.414e+02 5.25e-03 9.55e-153 0.00e+00 2.25e-150 9.89e-01 9.89e-01 1.00e-01 29 0.7 1.986e-02 2.399e+02 2.401e+02 5.79e-04 1.91e-152 0.00e+00 1.95e-150 9.97e-01 9.97e-01 1.00e-01 30 0.7 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 5.46e-151 1.00e+00 1.00e+00 1.00e-01 31 0.7 2.034e-04 2.400e+02 2.400e+02 5.93e-06 1.91e-152 0.00e+00 2.76e-151 1.00e+00 1.00e+00 1.00e-01 32 0.7 2.035e-05 2.400e+02 2.400e+02 5.93e-07 9.55e-153 0.00e+00 2.39e-151 1.00e+00 1.00e+00 1.00e-01 33 0.8 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 1.97e-151 1.00e+00 1.00e+00 1.00e-01 34 0.8 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 3.11e-151 1.00e+00 1.00e+00 1.00e-01 35 0.8 2.035e-08 2.400e+02 2.400e+02 5.94e-10 1.91e-152 0.00e+00 1.33e-150 1.00e+00 1.00e+00 1.00e-01 36 0.8 2.036e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 1.61e-150 1.00e+00 1.00e+00 1.00e-01 37 0.8 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 6.51e-151 1.00e+00 1.00e+00 1.00e-01 38 0.9 2.036e-11 2.400e+02 2.400e+02 5.94e-13 9.55e-153 0.00e+00 1.32e-150 1.00e+00 1.00e+00 1.00e-01 39 0.9 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 5.88e-151 1.00e+00 1.00e+00 1.00e-01 40 0.9 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 7.58e-151 1.00e+00 1.00e+00 1.00e-01 41 0.9 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 3.77e-150 1.00e+00 1.00e+00 1.00e-01 42 0.9 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 4.09e-150 1.00e+00 1.00e+00 1.00e-01 43 0.9 2.037e-16 2.400e+02 2.400e+02 5.94e-18 1.91e-152 0.00e+00 1.94e-149 1.00e+00 1.00e+00 1.00e-01 44 1.0 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 1.05e-149 1.00e+00 1.00e+00 1.00e-01 45 1.0 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 2.58e-149 1.00e+00 1.00e+00 1.00e-01 46 1.0 2.038e-19 2.400e+02 2.400e+02 5.94e-21 1.91e-152 0.00e+00 3.59e-149 1.00e+00 1.00e+00 1.00e-01 47 1.0 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 1.21e-148 1.00e+00 1.00e+00 1.00e-01 48 1.0 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 1.03e-148 1.00e+00 1.00e+00 1.00e-01 49 1.1 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 8.62e-148 1.00e+00 1.00e+00 1.00e-01 50 1.1 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 2.42e-147 1.00e+00 1.00e+00 1.00e-01 51 1.1 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 6.06e-147 1.00e+00 1.00e+00 1.00e-01 52 1.1 2.039e-25 2.400e+02 2.400e+02 5.95e-27 4.33e-153 0.00e+00 1.01e-146 1.00e+00 1.00e+00 1.00e-01 53 1.1 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 4.53e-147 1.00e+00 1.00e+00 1.00e-01 54 1.2 2.039e-27 2.400e+02 2.400e+02 5.95e-29 3.82e-152 0.00e+00 9.87e-147 1.00e+00 1.00e+00 1.00e-01 55 1.2 2.039e-28 2.400e+02 2.400e+02 5.95e-30 3.82e-152 0.00e+00 1.88e-146 1.00e+00 1.00e+00 1.00e-01 56 1.2 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 2.92e-146 1.00e+00 1.00e+00 1.00e-01 57 1.2 2.040e-30 2.400e+02 2.400e+02 5.95e-32 9.55e-153 0.00e+00 5.76e-145 1.00e+00 1.00e+00 1.00e-01 58 1.2 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 1.16e-145 1.00e+00 1.00e+00 1.00e-01 59 1.3 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 9.23e-145 1.00e+00 1.00e+00 1.00e-01 60 1.3 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 1.19e-144 1.00e+00 1.00e+00 1.00e-01 61 1.3 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 5.30e-144 1.00e+00 1.00e+00 1.00e-01 62 1.3 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 2.53e-144 1.00e+00 1.00e+00 1.00e-01 63 1.3 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 1.42e-143 1.00e+00 1.00e+00 1.00e-01 64 1.3 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 3.44e-143 1.00e+00 1.00e+00 1.00e-01 65 1.4 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 4.94e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.368959 seconds (869.93 k allocations: 54.785 MiB, 63.78% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291376348911968971224666938734645152939292136233957082035314829883607078499073584613600840792492461220891164859663 Dual objective:239.999999999999999999999999999999999999985708623651088031028775333061265354847095945064156212651233664189398631033410796886099933647811631474127307080078537 duality gap:5.95474014537998707134361122447276881371736397334953008975034388343437000939339054171457280240631554035282794795125091129371028485047337374437810068289260476e-41 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 1.000e+00 5.000e+10 1.00e+00 1.00e+10 0.00e+00 4.78e+10 6.47e-01 7.68e-01 3.00e-01 2 0.1 4.452e+19 9.876e+09 4.917e+10 6.66e-01 3.53e+09 0.00e+00 1.11e+10 7.56e-01 1.00e+00 3.00e-01 3 0.1 1.650e+19 7.446e+09 1.024e+11 8.64e-01 8.62e+08 0.00e+00 8.29e-79 8.44e-01 1.00e+00 3.00e-01 4 0.1 4.113e+18 8.652e+08 1.659e+11 9.90e-01 1.34e+08 0.00e+00 3.69e-79 8.90e-01 1.00e+00 3.00e-01 5 0.1 7.249e+17 1.033e+08 2.675e+11 9.99e-01 1.48e+07 0.00e+00 1.50e-78 8.93e-01 1.00e+00 3.00e-01 6 0.1 1.243e+17 1.043e+07 4.302e+11 1.00e+00 1.58e+06 0.00e+00 1.84e-78 8.95e-01 1.00e+00 3.00e-01 7 0.1 2.095e+16 1.151e+06 6.904e+11 1.00e+00 1.67e+05 0.00e+00 2.24e-78 8.96e-01 1.00e+00 3.00e-01 8 0.1 3.493e+15 1.156e+05 1.107e+12 1.00e+00 1.74e+04 0.00e+00 2.09e-78 8.97e-01 1.00e+00 3.00e-01 9 0.2 5.780e+14 1.233e+04 1.773e+12 1.00e+00 1.80e+03 0.00e+00 1.36e-77 8.97e-01 1.00e+00 3.00e-01 10 0.2 9.513e+13 1.239e+03 2.837e+12 1.00e+00 1.85e+02 0.00e+00 2.70e-78 9.00e-01 1.00e+00 3.00e-01 11 0.2 1.555e+13 1.320e+02 4.519e+12 1.00e+00 1.85e+01 0.00e+00 2.04e-77 9.06e-01 1.00e+00 3.00e-01 12 0.2 2.876e+12 1.774e+01 6.894e+12 1.00e+00 1.74e+00 0.00e+00 1.46e-77 9.63e-01 1.00e+00 3.00e-01 13 0.2 8.243e+11 6.641e+00 7.341e+12 1.00e+00 6.37e-02 0.00e+00 2.13e-77 1.00e+00 1.00e+00 3.00e-01 14 0.2 2.525e+11 6.501e+00 2.525e+12 1.00e+00 9.82e-91 0.00e+00 7.35e-78 1.00e+00 1.00e+00 3.00e-01 15 0.2 7.575e+10 6.597e+00 7.575e+11 1.00e+00 7.85e-90 0.00e+00 3.29e-78 1.00e+00 1.00e+00 1.00e-01 16 0.3 7.582e+09 6.607e+00 7.582e+10 1.00e+00 3.93e-90 0.00e+00 1.77e-78 1.00e+00 1.00e+00 1.00e-01 17 0.3 7.583e+08 6.615e+00 7.583e+09 1.00e+00 1.96e-90 0.00e+00 1.56e-80 1.00e+00 1.00e+00 1.00e-01 18 0.3 7.583e+07 6.623e+00 7.583e+08 1.00e+00 3.93e-90 0.00e+00 4.07e-81 1.00e+00 1.00e+00 1.00e-01 19 0.3 7.584e+06 6.629e+00 7.584e+07 1.00e+00 1.96e-90 0.00e+00 2.81e-82 1.00e+00 1.00e+00 1.00e-01 20 0.3 7.585e+05 6.635e+00 7.585e+06 1.00e+00 3.93e-90 0.00e+00 1.24e-82 1.00e+00 1.00e+00 1.00e-01 21 0.3 7.586e+04 6.641e+00 7.586e+05 1.00e+00 3.93e-90 0.00e+00 3.80e-84 1.00e+00 1.00e+00 1.00e-01 22 0.3 7.587e+03 6.646e+00 7.588e+04 1.00e+00 4.91e-91 0.00e+00 6.04e-85 1.00e+00 1.00e+00 1.00e-01 23 0.4 7.595e+02 6.651e+00 7.602e+03 9.98e-01 3.93e-90 0.00e+00 6.46e-86 9.99e-01 9.99e-01 1.00e-01 24 0.4 7.667e+01 6.662e+00 7.734e+02 9.83e-01 3.93e-90 0.00e+00 1.14e-86 9.90e-01 9.90e-01 1.00e-01 25 0.4 8.371e+00 6.736e+00 9.045e+01 8.61e-01 3.93e-90 0.00e+00 1.05e-87 9.21e-01 9.21e-01 1.00e-01 26 0.4 1.433e+00 7.334e+00 2.167e+01 4.94e-01 3.93e-90 0.00e+00 1.22e-88 8.84e-01 8.84e-01 1.00e-01 27 0.4 2.925e-01 1.016e+01 1.309e+01 1.26e-01 3.93e-90 0.00e+00 7.66e-89 9.45e-01 9.45e-01 1.00e-01 28 0.4 4.385e-02 1.181e+01 1.225e+01 1.82e-02 1.96e-90 0.00e+00 1.28e-89 9.76e-01 9.76e-01 1.00e-01 29 0.4 5.337e-03 1.197e+01 1.203e+01 2.22e-03 7.85e-90 0.00e+00 2.85e-89 9.89e-01 9.89e-01 1.00e-01 30 0.5 5.875e-04 1.200e+01 1.200e+01 2.45e-04 7.85e-90 0.00e+00 4.12e-89 9.98e-01 9.98e-01 1.00e-01 31 0.5 5.979e-05 1.200e+01 1.200e+01 2.49e-05 7.85e-90 0.00e+00 1.77e-89 1.00e+00 1.00e+00 1.00e-01 32 0.5 5.986e-06 1.200e+01 1.200e+01 2.49e-06 3.93e-90 0.00e+00 1.62e-89 1.00e+00 1.00e+00 1.00e-01 33 0.5 5.987e-07 1.200e+01 1.200e+01 2.49e-07 7.85e-90 0.00e+00 3.14e-89 1.00e+00 1.00e+00 1.00e-01 34 0.5 5.988e-08 1.200e+01 1.200e+01 2.49e-08 7.85e-90 0.00e+00 9.82e-90 1.00e+00 1.00e+00 1.00e-01 35 0.5 5.988e-09 1.200e+01 1.200e+01 2.50e-09 7.85e-90 0.00e+00 1.18e-89 1.00e+00 1.00e+00 1.00e-01 36 0.5 5.989e-10 1.200e+01 1.200e+01 2.50e-10 7.85e-90 0.00e+00 2.45e-89 1.00e+00 1.00e+00 1.00e-01 37 0.6 5.989e-11 1.200e+01 1.200e+01 2.50e-11 7.85e-90 0.00e+00 9.43e-89 1.00e+00 1.00e+00 1.00e-01 38 0.6 5.990e-12 1.200e+01 1.200e+01 2.50e-12 3.93e-90 0.00e+00 7.16e-88 1.00e+00 1.00e+00 1.00e-01 39 0.6 5.991e-13 1.200e+01 1.200e+01 2.50e-13 7.85e-90 0.00e+00 8.91e-88 1.00e+00 1.00e+00 1.00e-01 40 0.6 5.991e-14 1.200e+01 1.200e+01 2.50e-14 7.85e-90 0.00e+00 1.40e-87 1.00e+00 1.00e+00 1.00e-01 41 0.6 5.992e-15 1.200e+01 1.200e+01 2.50e-15 7.85e-90 0.00e+00 1.47e-88 1.00e+00 1.00e+00 1.00e-01 42 0.6 5.992e-16 1.200e+01 1.200e+01 2.50e-16 7.85e-90 0.00e+00 9.14e-87 1.00e+00 1.00e+00 1.00e-01 43 0.6 5.993e-17 1.200e+01 1.200e+01 2.50e-17 7.85e-90 0.00e+00 9.24e-87 1.00e+00 1.00e+00 1.00e-01 44 0.8 5.994e-18 1.200e+01 1.200e+01 2.50e-18 7.85e-90 0.00e+00 1.34e-86 1.00e+00 1.00e+00 1.00e-01 45 1.4 5.994e-19 1.200e+01 1.200e+01 2.50e-19 1.96e-90 0.00e+00 1.95e-86 1.00e+00 1.00e+00 1.00e-01 46 1.4 5.995e-20 1.200e+01 1.200e+01 2.50e-20 7.85e-90 0.00e+00 1.44e-85 1.00e+00 1.00e+00 1.00e-01 47 1.5 5.995e-21 1.200e+01 1.200e+01 2.50e-21 3.93e-90 0.00e+00 2.83e-86 1.00e+00 1.00e+00 1.00e-01 48 1.5 5.996e-22 1.200e+01 1.200e+01 2.50e-22 7.85e-90 0.00e+00 1.61e-85 1.00e+00 1.00e+00 1.00e-01 49 1.5 5.997e-23 1.200e+01 1.200e+01 2.50e-23 7.85e-90 0.00e+00 1.32e-85 1.00e+00 1.00e+00 1.00e-01 50 1.5 5.997e-24 1.200e+01 1.200e+01 2.50e-24 1.96e-90 0.00e+00 7.56e-85 1.00e+00 1.00e+00 1.00e-01 51 1.5 5.998e-25 1.200e+01 1.200e+01 2.50e-25 3.93e-90 0.00e+00 3.65e-84 1.00e+00 1.00e+00 1.00e-01 52 1.5 5.998e-26 1.200e+01 1.200e+01 2.50e-26 7.85e-90 0.00e+00 1.26e-83 1.00e+00 1.00e+00 1.00e-01 53 1.5 5.999e-27 1.200e+01 1.200e+01 2.50e-27 7.85e-90 0.00e+00 6.84e-84 1.00e+00 1.00e+00 1.00e-01 54 1.6 6.000e-28 1.200e+01 1.200e+01 2.50e-28 7.85e-90 0.00e+00 2.85e-83 1.00e+00 1.00e+00 1.00e-01 55 1.6 6.000e-29 1.200e+01 1.200e+01 2.50e-29 3.93e-90 0.00e+00 3.41e-84 1.00e+00 1.00e+00 1.00e-01 56 1.6 6.001e-30 1.200e+01 1.200e+01 2.50e-30 1.96e-90 0.00e+00 2.87e-83 1.00e+00 1.00e+00 1.00e-01 57 1.6 6.001e-31 1.200e+01 1.200e+01 2.50e-31 7.85e-90 0.00e+00 1.78e-82 1.00e+00 1.00e+00 1.00e-01 58 1.6 6.002e-32 1.200e+01 1.200e+01 2.50e-32 7.85e-90 0.00e+00 1.83e-82 1.00e+00 1.00e+00 1.00e-01 59 1.6 6.003e-33 1.200e+01 1.200e+01 2.50e-33 3.93e-90 0.00e+00 2.43e-82 1.00e+00 1.00e+00 1.00e-01 60 1.7 6.003e-34 1.200e+01 1.200e+01 2.50e-34 1.96e-90 0.00e+00 1.87e-82 1.00e+00 1.00e+00 1.00e-01 61 1.7 6.004e-35 1.200e+01 1.200e+01 2.50e-35 3.93e-90 0.00e+00 8.71e-82 1.00e+00 1.00e+00 1.00e-01 62 1.7 6.004e-36 1.200e+01 1.200e+01 2.50e-36 3.93e-90 0.00e+00 3.00e-81 1.00e+00 1.00e+00 1.00e-01 63 1.7 6.005e-37 1.200e+01 1.200e+01 2.50e-37 3.93e-90 0.00e+00 3.55e-81 1.00e+00 1.00e+00 1.00e-01 64 1.7 6.006e-38 1.200e+01 1.200e+01 2.50e-38 7.85e-90 0.00e+00 3.39e-81 1.00e+00 1.00e+00 1.00e-01 65 1.7 6.006e-39 1.200e+01 1.200e+01 2.50e-39 3.93e-90 0.00e+00 1.84e-80 1.00e+00 1.00e+00 1.00e-01 66 1.7 6.007e-40 1.200e+01 1.200e+01 2.50e-40 7.85e-90 0.00e+00 3.80e-80 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.744904 seconds (482.41 k allocations: 27.913 MiB, 83.37% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:12.000000000000000000000000000000000000000300373171595261030832550663344713211552241583975986 Dual objective:11.99999999999999999999999999999999999999969962682840473896916744933665528678844809644440258 duality gap:2.5031097632938419236045888612059434296006047482225253249136428585916645938347560937480752772e-41 [ Info: Empty constraint found and removed. [ Info: Empty constraint found and removed. [ Info: The coefficient for the PSD variable 1 has an empty decomposition in a constraint, so we remove it from that constraint. [ Info: The matrix variable 1 is not used in any constraint and will be removed. Test Summary: | Pass Total Time ClusteredLowRankSolver.jl | 39 39 9m46.9s iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 1.1 1.000e+20 0.000e+00 5.000e+10 1.00e+00 1.00e+10 0.00e+00 5.00e+10 1.00e+00 9.00e-01 3.00e-01 2 1.1 1.600e+19 1.600e+10 5.000e+09 5.24e-01 0.00e+00 0.00e+00 5.00e+09 1.00e+00 9.00e-01 3.00e-01 3 1.1 2.560e+18 2.560e+10 5.001e+08 9.62e-01 9.82e-91 0.00e+00 5.00e+08 1.00e+00 9.00e-01 3.00e-01 4 1.1 4.097e+17 4.096e+10 5.001e+07 9.98e-01 0.00e+00 0.00e+00 5.00e+07 1.00e+00 9.00e-01 3.00e-01 5 1.1 6.556e+16 6.554e+10 5.002e+06 1.00e+00 9.82e-91 0.00e+00 5.00e+06 1.00e+00 9.00e-01 3.00e-01 6 1.2 1.049e+16 1.049e+11 5.002e+05 1.00e+00 9.82e-91 0.00e+00 5.00e+05 1.00e+00 9.00e-01 3.00e-01 7 1.2 1.679e+15 1.678e+11 5.003e+04 1.00e+00 4.91e-91 0.00e+00 5.00e+04 1.00e+00 9.00e-01 3.00e-01 8 1.2 2.686e+14 2.684e+11 5.003e+03 1.00e+00 4.91e-91 0.00e+00 5.00e+03 1.00e+00 9.00e-01 3.00e-01 9 1.2 4.297e+13 4.294e+11 5.004e+02 1.00e+00 0.00e+00 0.00e+00 4.99e+02 1.00e+00 9.02e-01 3.00e-01 10 1.2 6.856e+12 6.850e+11 5.004e+01 1.00e+00 9.82e-91 0.00e+00 4.90e+01 1.00e+00 9.18e-01 3.00e-01 11 1.2 1.066e+12 1.065e+12 5.005e+00 1.00e+00 9.82e-91 0.00e+00 4.00e+00 1.00e+00 1.00e+00 3.00e-01 12 1.2 2.514e+11 1.257e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 3.44e-90 1.00e+00 1.00e+00 3.00e-01 13 1.3 7.541e+10 3.770e+11 1.000e+00 1.00e+00 0.00e+00 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 14 1.3 7.542e+09 3.771e+10 1.000e+00 1.00e+00 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 15 1.3 7.542e+08 3.771e+09 1.000e+00 1.00e+00 0.00e+00 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 16 1.3 7.543e+07 3.772e+08 1.000e+00 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 17 1.3 7.544e+06 3.772e+07 1.000e+00 1.00e+00 0.00e+00 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 18 1.3 7.545e+05 3.772e+06 1.000e+00 1.00e+00 9.82e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 19 1.3 7.545e+04 3.773e+05 1.000e+00 1.00e+00 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 20 1.4 7.547e+03 3.773e+04 1.000e+00 1.00e+00 4.91e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 21 1.4 7.551e+02 3.776e+03 1.000e+00 9.99e-01 4.91e-91 0.00e+00 1.96e-90 9.99e-01 9.99e-01 1.00e-01 22 1.4 7.588e+01 3.804e+02 1.001e+00 9.95e-01 4.91e-91 0.00e+00 1.47e-90 9.95e-01 9.95e-01 1.00e-01 23 1.4 7.944e+00 4.073e+01 1.012e+00 9.52e-01 4.91e-91 0.00e+00 1.96e-90 9.55e-01 9.55e-01 1.00e-01 24 1.4 1.113e+00 6.670e+00 1.106e+00 7.15e-01 4.91e-91 0.00e+00 3.93e-90 8.75e-01 8.75e-01 1.00e-01 25 1.4 2.364e-01 2.830e+00 1.648e+00 2.64e-01 9.82e-91 0.00e+00 1.96e-90 9.43e-01 9.43e-01 1.00e-01 26 1.5 3.584e-02 2.356e+00 2.177e+00 3.95e-02 9.82e-91 0.00e+00 1.96e-90 9.81e-01 9.81e-01 1.00e-01 27 1.5 4.208e-03 2.249e+00 2.228e+00 4.70e-03 9.82e-91 0.00e+00 2.95e-90 9.91e-01 9.91e-01 1.00e-01 28 1.5 4.562e-04 2.237e+00 2.235e+00 5.10e-04 9.82e-91 0.00e+00 2.95e-90 9.98e-01 9.98e-01 1.00e-01 29 1.5 4.629e-05 2.236e+00 2.236e+00 5.18e-05 9.82e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 30 1.5 4.634e-06 2.236e+00 2.236e+00 5.18e-06 9.82e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 31 1.5 4.635e-07 2.236e+00 2.236e+00 5.18e-07 9.82e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 32 1.5 4.635e-08 2.236e+00 2.236e+00 5.18e-08 9.82e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 33 1.5 4.636e-09 2.236e+00 2.236e+00 5.18e-09 0.00e+00 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 34 1.6 4.636e-10 2.236e+00 2.236e+00 5.18e-10 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 1.6 4.637e-11 2.236e+00 2.236e+00 5.18e-11 4.91e-91 0.00e+00 4.42e-90 1.00e+00 1.00e+00 1.00e-01 36 1.6 4.637e-12 2.236e+00 2.236e+00 5.18e-12 9.82e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 37 1.6 4.637e-13 2.236e+00 2.236e+00 5.18e-13 4.91e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 38 1.6 4.638e-14 2.236e+00 2.236e+00 5.19e-14 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 39 1.6 4.638e-15 2.236e+00 2.236e+00 5.19e-15 9.82e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 40 1.6 4.639e-16 2.236e+00 2.236e+00 5.19e-16 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 41 1.7 4.639e-17 2.236e+00 2.236e+00 5.19e-17 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 42 1.7 4.640e-18 2.236e+00 2.236e+00 5.19e-18 9.82e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 43 1.7 4.640e-19 2.236e+00 2.236e+00 5.19e-19 9.82e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 44 1.7 4.641e-20 2.236e+00 2.236e+00 5.19e-20 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 45 1.7 4.641e-21 2.236e+00 2.236e+00 5.19e-21 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 46 1.7 4.642e-22 2.236e+00 2.236e+00 5.19e-22 0.00e+00 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 47 1.7 4.642e-23 2.236e+00 2.236e+00 5.19e-23 9.82e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 48 1.8 4.643e-24 2.236e+00 2.236e+00 5.19e-24 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 49 1.8 4.643e-25 2.236e+00 2.236e+00 5.19e-25 9.82e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 50 1.8 4.643e-26 2.236e+00 2.236e+00 5.19e-26 9.82e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 51 1.8 4.644e-27 2.236e+00 2.236e+00 5.19e-27 4.91e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 52 1.8 4.644e-28 2.236e+00 2.236e+00 5.19e-28 9.82e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 53 1.8 4.645e-29 2.236e+00 2.236e+00 5.19e-29 9.82e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 54 1.8 4.645e-30 2.236e+00 2.236e+00 5.19e-30 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.838227 seconds (105.78 k allocations: 7.642 MiB, 90.14% gc time, 2.29% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:2.2360679774997896964091736687303470729269054337286903076790677833698196236789963964386457464 Dual objective:2.2360679774997896964091736687326699792111877484357788491586607607973150408230850974383513347 duality gap:5.1941763570167069705652422382443590405960402059611155329336282112931168842928409831431167127e-31 The Lovász number is: 2.2360679774997896964091736687303470729269054337286903076790677833698196236789963964386457523 ** Starting computation of basis transformations ** Block 1 of size 5 x 5 Block 1 has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (1.636758302s) ** ** Transforming the problem and the solution ** (0.45899832500000004s) ** Projection the solution into the affine space ** Reducing the system from 6 columns to 6 columns Constructing the linear system... (0.170128135s) Computing an approximate solution in the extension field... (0.053334791s) Preprocessing to get an integer system... (0.000108169s) Finding the pivots of A using RREF mod p... (0.000258497 0.000214368 s) Solving the system of size 12 x 12 using the pseudoinverse... 0.380841142s ** Finished projection into affine space (0.606392127s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.002471336) The exact objective is -2*z - 1 with z approximately equal to -1.6180339887498948482045868343656381177203091798057628621354486227052604628189097565124811857 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.2 1.000e+20 0.000e+00 1.000e+10 1.00e+00 1.00e+10 0.00e+00 2.00e+10 1.00e+00 9.00e-01 3.00e-01 2 0.2 1.600e+19 6.400e+10 1.000e+09 9.69e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.3 2.560e+18 1.024e+11 1.000e+08 9.98e-01 1.69e-80 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.3 4.097e+17 1.638e+11 1.000e+07 1.00e+00 3.07e-92 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.3 6.556e+16 2.621e+11 1.000e+06 1.00e+00 3.37e-80 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.3 1.049e+16 4.194e+11 1.000e+05 1.00e+00 6.75e-80 0.00e+00 2.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.3 1.679e+15 6.711e+11 1.001e+04 1.00e+00 1.35e-79 0.00e+00 2.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.3 2.686e+14 1.074e+12 1.001e+03 1.00e+00 1.35e-79 0.00e+00 2.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.3 4.295e+13 1.717e+12 1.001e+02 1.00e+00 2.70e-79 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.4 6.823e+12 2.727e+12 1.001e+01 1.00e+00 5.40e-79 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.4 1.015e+12 4.057e+12 1.001e+00 1.00e+00 5.40e-79 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.4 3.552e+11 2.842e+12 5.000e-01 1.00e+00 5.40e-79 0.00e+00 1.96e-90 1.00e+00 1.00e+00 3.00e-01 13 0.4 1.066e+11 8.526e+11 5.000e-01 1.00e+00 2.45e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 14 0.4 1.066e+10 8.527e+10 5.000e-01 1.00e+00 2.45e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 15 0.4 1.066e+09 8.528e+09 5.000e-01 1.00e+00 1.23e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 16 0.5 1.066e+08 8.528e+08 5.000e-01 1.00e+00 1.23e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 17 0.5 1.066e+07 8.529e+07 5.000e-01 1.00e+00 2.45e-91 0.00e+00 7.36e-91 1.00e+00 1.00e+00 1.00e-01 18 0.5 1.066e+06 8.530e+06 5.000e-01 1.00e+00 1.23e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 19 0.5 1.066e+05 8.531e+05 5.000e-01 1.00e+00 1.23e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 20 0.5 1.066e+04 8.532e+04 5.000e-01 1.00e+00 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 21 0.5 1.067e+03 8.533e+03 5.000e-01 1.00e+00 2.45e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 22 0.5 1.067e+02 8.542e+02 5.000e-01 9.99e-01 6.14e-92 0.00e+00 1.23e-90 1.00e+00 1.00e+00 1.00e-01 23 0.6 1.071e+01 8.619e+01 5.003e-01 9.88e-01 1.23e-91 0.00e+00 2.45e-90 9.96e-01 9.96e-01 1.00e-01 24 0.6 1.111e+00 9.388e+00 5.032e-01 8.98e-01 1.96e-90 0.00e+00 3.44e-90 9.64e-01 9.64e-01 1.00e-01 25 0.6 1.471e-01 1.707e+00 5.300e-01 5.26e-01 4.91e-91 0.00e+00 1.96e-90 8.78e-01 8.78e-01 1.00e-01 26 0.6 3.083e-02 9.389e-01 6.923e-01 1.51e-01 2.45e-91 0.00e+00 1.47e-90 9.33e-01 9.33e-01 1.00e-01 27 0.6 4.953e-03 8.770e-01 8.374e-01 2.31e-02 1.23e-91 0.00e+00 1.47e-90 9.88e-01 9.88e-01 1.00e-01 28 0.6 5.503e-04 8.559e-01 8.515e-01 2.58e-03 2.45e-91 0.00e+00 2.45e-90 9.94e-01 9.94e-01 1.00e-01 29 0.7 5.817e-05 8.538e-01 8.533e-01 2.73e-04 2.45e-91 0.00e+00 1.96e-90 9.99e-01 9.99e-01 1.00e-01 30 0.7 5.871e-06 8.536e-01 8.535e-01 2.75e-05 1.23e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 31 0.7 5.875e-07 8.536e-01 8.536e-01 2.75e-06 2.45e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 32 0.7 5.876e-08 8.536e-01 8.536e-01 2.75e-07 1.23e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 33 0.7 5.877e-09 8.536e-01 8.536e-01 2.75e-08 2.45e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 34 0.7 5.877e-10 8.536e-01 8.536e-01 2.75e-09 2.45e-91 0.00e+00 4.42e-90 1.00e+00 1.00e+00 1.00e-01 35 0.8 5.878e-11 8.536e-01 8.536e-01 2.75e-10 2.45e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 36 0.8 5.879e-12 8.536e-01 8.536e-01 2.75e-11 1.23e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 37 0.8 5.879e-13 8.536e-01 8.536e-01 2.76e-12 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 38 0.8 5.880e-14 8.536e-01 8.536e-01 2.76e-13 2.45e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.8 5.880e-15 8.536e-01 8.536e-01 2.76e-14 1.23e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 40 0.9 5.881e-16 8.536e-01 8.536e-01 2.76e-15 2.45e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 41 0.9 5.881e-17 8.536e-01 8.536e-01 2.76e-16 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 42 0.9 5.882e-18 8.536e-01 8.536e-01 2.76e-17 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 43 0.9 5.883e-19 8.536e-01 8.536e-01 2.76e-18 2.45e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 44 0.9 5.883e-20 8.536e-01 8.536e-01 2.76e-19 6.14e-92 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 45 0.9 5.884e-21 8.536e-01 8.536e-01 2.76e-20 2.45e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 46 0.9 5.884e-22 8.536e-01 8.536e-01 2.76e-21 2.45e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 47 1.0 5.885e-23 8.536e-01 8.536e-01 2.76e-22 2.45e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 48 1.0 5.886e-24 8.536e-01 8.536e-01 2.76e-23 1.23e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 49 1.0 5.886e-25 8.536e-01 8.536e-01 2.76e-24 1.23e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 50 1.0 5.887e-26 8.536e-01 8.536e-01 2.76e-25 1.23e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 51 1.0 5.887e-27 8.536e-01 8.536e-01 2.76e-26 1.23e-91 0.00e+00 2.95e-90 1.00e+00 1.00e+00 1.00e-01 52 1.0 5.888e-28 8.536e-01 8.536e-01 2.76e-27 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 53 1.1 5.889e-29 8.536e-01 8.536e-01 2.76e-28 1.23e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 54 1.1 5.889e-30 8.536e-01 8.536e-01 2.76e-29 2.45e-91 0.00e+00 3.44e-90 1.00e+00 1.00e+00 1.00e-01 55 1.1 5.890e-31 8.536e-01 8.536e-01 2.76e-30 1.23e-91 0.00e+00 3.93e-90 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.087957 seconds (261.92 k allocations: 15.531 MiB, 80.54% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.85355339059327376220042218105218890689961994898783866690495305407182084621291023596906027542 Dual objective:0.85355339059327376220042218105266013238521598870063536968338995806246163326088191962898885359 duality gap:2.7603749852631251472066963510688062335493668284596587485826030548099435103131999583699117551e-31 ** Starting computation of basis transformations ** Block 2 of size 4 x 4 Block 2 has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 1 of size 4 x 4 Block 1 has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (0.15491515s) ** ** Transforming the problem and the solution ** (0.001243428s) ** Projection the solution into the affine space ** Reducing the system from 6 columns to 6 columns Constructing the linear system... (0.000332397s) Computing an approximate solution in the extension field... (0.000831782s) Preprocessing to get an integer system... (0.000227818s) Finding the pivots of A using RREF mod p... (0.195367683 0.000304297 s) We did not find enough pivots (12 instead of 32) Solving the system of size 12 x 12 using the pseudoinverse... 0.000844892s ** Finished projection into affine space (0.381117558s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.004016981) The exact objective is 1//4*z + 1//2 with z approximately equal to 1.4142135623730950488016887242096980785696718753769480731766797379907324784621019795147115606 Test Summary: | Pass Total Time Rounding + JuMP | 2 2 2m48.7s iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.1 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 3.00e+00 1.00e+10 9.00e-01 1.00e+00 3.00e-01 2 0.1 1.600e+19 5.400e+00 -4.800e+10 1.00e+00 1.00e+09 3.00e-01 0.00e+00 9.00e-01 1.00e+00 3.00e-01 3 0.1 2.560e+18 5.940e+00 -7.680e+10 1.00e+00 1.00e+08 3.00e-02 0.00e+00 9.00e-01 1.00e+00 3.00e-01 4 0.1 4.096e+17 5.994e+00 -1.229e+11 1.00e+00 1.00e+07 3.00e-03 0.00e+00 9.00e-01 1.00e+00 3.00e-01 5 0.2 6.554e+16 5.999e+00 -1.966e+11 1.00e+00 1.00e+06 3.00e-04 3.37e-80 9.00e-01 1.00e+00 3.00e-01 6 0.2 1.049e+16 6.000e+00 -3.146e+11 1.00e+00 1.00e+05 3.00e-05 6.75e-80 9.00e-01 1.00e+00 3.00e-01 7 0.2 1.678e+15 6.000e+00 -5.033e+11 1.00e+00 1.00e+04 3.00e-06 0.00e+00 9.00e-01 1.00e+00 3.00e-01 8 0.2 2.683e+14 6.000e+00 -8.049e+11 1.00e+00 9.97e+02 2.99e-07 2.70e-79 9.03e-01 1.00e+00 3.00e-01 9 0.2 4.274e+13 6.000e+00 -1.282e+12 1.00e+00 9.70e+01 2.91e-08 5.40e-79 9.28e-01 1.00e+00 3.00e-01 10 0.2 6.548e+12 6.000e+00 -1.964e+12 1.00e+00 7.00e+00 2.10e-09 5.40e-79 1.00e+00 1.00e+00 3.00e-01 11 0.3 1.964e+12 6.000e+00 -1.964e+12 1.00e+00 3.93e-90 0.00e+00 5.40e-79 1.00e+00 1.00e+00 3.00e-01 12 0.3 5.893e+11 6.000e+00 -5.893e+11 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 13 0.3 5.893e+10 6.000e+00 -5.893e+10 1.00e+00 0.00e+00 3.93e-90 1.35e-79 1.00e+00 1.00e+00 1.00e-01 14 0.3 5.893e+09 6.000e+00 -5.893e+09 1.00e+00 0.00e+00 3.93e-90 1.69e-80 1.00e+00 1.00e+00 1.00e-01 15 0.3 5.893e+08 6.000e+00 -5.893e+08 1.00e+00 0.00e+00 7.85e-90 3.16e-81 1.00e+00 1.00e+00 1.00e-01 16 0.3 5.893e+07 6.000e+00 -5.893e+07 1.00e+00 0.00e+00 3.93e-90 2.64e-82 1.00e+00 1.00e+00 1.00e-01 17 0.4 5.893e+06 6.000e+00 -5.893e+06 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 18 0.4 5.893e+05 6.000e+00 -5.893e+05 1.00e+00 0.00e+00 3.93e-90 1.03e-84 1.00e+00 1.00e+00 1.00e-01 19 0.4 5.893e+04 6.000e+00 -5.893e+04 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 20 0.4 5.893e+03 6.000e+00 -5.887e+03 1.00e+00 0.00e+00 3.93e-90 1.61e-86 1.00e+00 1.00e+00 1.00e-01 21 0.4 5.893e+02 6.000e+00 -5.833e+02 1.02e+00 0.00e+00 3.93e-90 1.01e-87 1.00e+00 1.00e+00 1.00e-01 22 0.4 5.893e+01 6.000e+00 -5.293e+01 1.26e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 23 0.4 5.893e+00 6.000e+00 1.068e-01 9.65e-01 0.00e+00 3.93e-90 1.57e-89 1.00e+00 1.00e+00 1.00e-01 24 0.5 5.893e-01 6.000e+00 5.411e+00 5.16e-02 0.00e+00 3.93e-90 9.82e-91 1.00e+00 1.00e+00 1.00e-01 25 0.5 5.893e-02 6.000e+00 5.941e+00 4.94e-03 0.00e+00 3.93e-90 2.45e-91 1.00e+00 1.00e+00 1.00e-01 26 0.5 5.893e-03 6.000e+00 5.994e+00 4.91e-04 0.00e+00 5.89e-90 6.90e-91 1.00e+00 1.00e+00 1.00e-01 27 0.5 5.893e-04 6.000e+00 5.999e+00 4.91e-05 0.00e+00 3.93e-90 6.54e-91 1.00e+00 1.00e+00 1.00e-01 28 0.5 5.893e-05 6.000e+00 6.000e+00 4.91e-06 0.00e+00 3.93e-90 5.56e-91 1.00e+00 1.00e+00 1.00e-01 29 0.5 5.893e-06 6.000e+00 6.000e+00 4.91e-07 0.00e+00 3.93e-90 4.48e-91 1.00e+00 1.00e+00 1.00e-01 30 0.5 5.893e-07 6.000e+00 6.000e+00 4.91e-08 0.00e+00 3.93e-90 1.43e-91 1.00e+00 1.00e+00 1.00e-01 31 0.6 5.893e-08 6.000e+00 6.000e+00 4.91e-09 0.00e+00 3.93e-90 3.09e-91 1.00e+00 1.00e+00 1.00e-01 32 0.6 5.893e-09 6.000e+00 6.000e+00 4.91e-10 0.00e+00 3.93e-90 3.09e-92 1.00e+00 1.00e+00 1.00e-01 33 0.6 5.893e-10 6.000e+00 6.000e+00 4.91e-11 0.00e+00 3.93e-90 3.09e-93 1.00e+00 1.00e+00 1.00e-01 34 0.6 5.893e-11 6.000e+00 6.000e+00 4.91e-12 0.00e+00 1.96e-90 5.89e-91 1.00e+00 1.00e+00 1.00e-01 35 0.6 5.893e-12 6.000e+00 6.000e+00 4.91e-13 0.00e+00 3.93e-90 5.89e-92 1.00e+00 1.00e+00 1.00e-01 36 0.6 5.893e-13 6.000e+00 6.000e+00 4.91e-14 0.00e+00 3.93e-90 3.00e-91 1.00e+00 1.00e+00 1.00e-01 37 0.6 5.893e-14 6.000e+00 6.000e+00 4.91e-15 0.00e+00 3.93e-90 4.23e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.620426 seconds (24.62 k allocations: 2.613 MiB, 90.70% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:5.999999999999994106813575166475359541292373987777919322466903989615605526520737425016309491 Dual objective:5.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999921 duality gap:4.910988687361272945496578427382200541274066804108442087681376054067853775560488677120581125e-16 Test Summary: | Pass Total Time test_DualObjectiveValue_Max_ScalarAffine_LessThan | 1 1 5.3s iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 0.000e+00 0.000e+00 0.00e+00 1.00e+10 3.00e+00 1.00e+10 9.00e-01 1.00e+00 3.00e-01 2 0.1 1.600e+19 5.400e+00 4.800e+10 1.00e+00 1.00e+09 3.00e-01 0.00e+00 9.00e-01 1.00e+00 3.00e-01 3 0.1 2.560e+18 5.940e+00 7.680e+10 1.00e+00 1.00e+08 3.00e-02 0.00e+00 9.00e-01 1.00e+00 3.00e-01 4 0.1 4.096e+17 5.994e+00 1.229e+11 1.00e+00 1.00e+07 3.00e-03 0.00e+00 9.00e-01 1.00e+00 3.00e-01 5 0.1 6.554e+16 5.999e+00 1.966e+11 1.00e+00 1.00e+06 3.00e-04 3.37e-80 9.00e-01 1.00e+00 3.00e-01 6 0.1 1.049e+16 6.000e+00 3.146e+11 1.00e+00 1.00e+05 3.00e-05 6.75e-80 9.00e-01 1.00e+00 3.00e-01 7 0.2 1.678e+15 6.000e+00 5.033e+11 1.00e+00 1.00e+04 3.00e-06 0.00e+00 9.00e-01 1.00e+00 3.00e-01 8 0.2 2.683e+14 6.000e+00 8.049e+11 1.00e+00 9.97e+02 2.99e-07 2.70e-79 9.03e-01 1.00e+00 3.00e-01 9 0.2 4.274e+13 6.000e+00 1.282e+12 1.00e+00 9.70e+01 2.91e-08 5.40e-79 9.28e-01 1.00e+00 3.00e-01 10 0.2 6.548e+12 6.000e+00 1.964e+12 1.00e+00 7.00e+00 2.10e-09 5.40e-79 1.00e+00 1.00e+00 3.00e-01 11 0.2 1.964e+12 6.000e+00 1.964e+12 1.00e+00 3.93e-90 0.00e+00 5.40e-79 1.00e+00 1.00e+00 3.00e-01 12 0.2 5.893e+11 6.000e+00 5.893e+11 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 13 0.2 5.893e+10 6.000e+00 5.893e+10 1.00e+00 0.00e+00 3.93e-90 1.35e-79 1.00e+00 1.00e+00 1.00e-01 14 0.3 5.893e+09 6.000e+00 5.893e+09 1.00e+00 0.00e+00 3.93e-90 1.69e-80 1.00e+00 1.00e+00 1.00e-01 15 0.3 5.893e+08 6.000e+00 5.893e+08 1.00e+00 0.00e+00 7.85e-90 3.16e-81 1.00e+00 1.00e+00 1.00e-01 16 0.3 5.893e+07 6.000e+00 5.893e+07 1.00e+00 0.00e+00 3.93e-90 2.64e-82 1.00e+00 1.00e+00 1.00e-01 17 0.3 5.893e+06 6.000e+00 5.893e+06 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 18 0.3 5.893e+05 6.000e+00 5.893e+05 1.00e+00 0.00e+00 3.93e-90 1.03e-84 1.00e+00 1.00e+00 1.00e-01 19 0.3 5.893e+04 6.000e+00 5.894e+04 1.00e+00 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 20 0.3 5.893e+03 6.000e+00 5.899e+03 9.98e-01 0.00e+00 3.93e-90 1.61e-86 1.00e+00 1.00e+00 1.00e-01 21 0.4 5.893e+02 6.000e+00 5.953e+02 9.80e-01 0.00e+00 3.93e-90 1.01e-87 1.00e+00 1.00e+00 1.00e-01 22 0.4 5.893e+01 6.000e+00 6.493e+01 8.31e-01 0.00e+00 3.93e-90 0.00e+00 1.00e+00 1.00e+00 1.00e-01 23 0.4 5.893e+00 6.000e+00 1.189e+01 3.29e-01 0.00e+00 3.93e-90 1.57e-89 1.00e+00 1.00e+00 1.00e-01 24 0.4 5.893e-01 6.000e+00 6.589e+00 4.68e-02 0.00e+00 3.93e-90 1.96e-90 1.00e+00 1.00e+00 1.00e-01 25 0.4 5.893e-02 6.000e+00 6.059e+00 4.89e-03 0.00e+00 3.93e-90 7.36e-91 1.00e+00 1.00e+00 1.00e-01 26 0.4 5.893e-03 6.000e+00 6.006e+00 4.91e-04 0.00e+00 3.93e-90 1.26e-90 1.00e+00 1.00e+00 1.00e-01 27 0.4 5.893e-04 6.000e+00 6.001e+00 4.91e-05 0.00e+00 7.85e-90 3.26e-91 1.00e+00 1.00e+00 1.00e-01 28 0.5 5.893e-05 6.000e+00 6.000e+00 4.91e-06 0.00e+00 5.89e-90 1.41e-90 1.00e+00 1.00e+00 1.00e-01 29 0.5 5.893e-06 6.000e+00 6.000e+00 4.91e-07 0.00e+00 5.89e-90 5.34e-91 1.00e+00 1.00e+00 1.00e-01 30 0.5 5.893e-07 6.000e+00 6.000e+00 4.91e-08 0.00e+00 3.93e-90 8.39e-91 1.00e+00 1.00e+00 1.00e-01 31 0.5 5.893e-08 6.000e+00 6.000e+00 4.91e-09 0.00e+00 3.93e-90 1.65e-90 1.00e+00 1.00e+00 1.00e-01 32 0.5 5.893e-09 6.000e+00 6.000e+00 4.91e-10 0.00e+00 5.89e-90 1.93e-90 1.00e+00 1.00e+00 1.00e-01 33 0.5 5.893e-10 6.000e+00 6.000e+00 4.91e-11 0.00e+00 3.93e-90 1.96e-90 1.00e+00 1.00e+00 1.00e-01 34 0.5 5.893e-11 6.000e+00 6.000e+00 4.91e-12 0.00e+00 3.93e-90 1.37e-90 1.00e+00 1.00e+00 1.00e-01 35 0.6 5.893e-12 6.000e+00 6.000e+00 4.91e-13 0.00e+00 5.89e-90 9.23e-91 1.00e+00 1.00e+00 1.00e-01 36 0.6 5.893e-13 6.000e+00 6.000e+00 4.91e-14 0.00e+00 5.89e-90 1.66e-90 1.00e+00 1.00e+00 1.00e-01 37 0.6 5.893e-14 6.000e+00 6.000e+00 4.91e-15 0.00e+00 5.89e-90 5.59e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.588146 seconds (24.70 k allocations: 2.618 MiB, 92.52% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:6.0000000000000058931864248335246404587076260122220806775330960103843944734792625749836905051 Dual objective:5.9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999882 duality gap:4.9109886873612681219346009493072051056855731011658454512168907192699189791052696621397309372e-16 Test Summary: | Pass Total Time test_DualObjectiveValue_Min_ScalarAffine_GreaterThan | 1 1 0.8s Test Summary: | Total Time test_HermitianPSDCone_basic | 0 7.9s Test Summary: | Total Time test_HermitianPSDCone_min_t | 0 3.5s Test Summary: | Total Time test_NormNuclearCone_VectorAffineFunction_with_transform | 0 6.5s Test Summary: | Total Time test_NormNuclearCone_VectorAffineFunction_without_transform | 0 0.0s Test Summary: | Total Time test_NormNuclearCone_VectorOfVariables_with_transform | 0 0.9s Test Summary: | Total Time test_NormNuclearCone_VectorOfVariables_without_transform | 0 0.0s Test Summary: | Total Time test_NormSpectralCone_VectorAffineFunction_with_transform | 0 3.9s Test Summary: | Total Time test_NormSpectralCone_VectorAffineFunction_without_transform | 0 0.0s Test Summary: | Total Time test_NormSpectralCone_VectorOfVariables_with_transform | 0 0.7s Test Summary: | Total Time test_NormSpectralCone_VectorOfVariables_without_transform | 0 0.0s Test Summary: | Total Time test_VectorNonlinearOracle_LagrangeMultipliers_MAX_SENSE | 0 5.6s Test Summary: | Total Time test_VectorNonlinearOracle_LagrangeMultipliers_MIN_SENSE | 0 0.9s Test Summary: | Total Time test_add_constrained_PositiveSemidefiniteConeTriangle | 0 27.5s Test Summary: | Pass Total Time test_add_constrained_PositiveSemidefiniteConeTriangle_VariableName | 1 1 0.2s Test Summary: | Total Time test_add_constrained_PositiveSemidefiniteConeTriangle_VariablePrimalStart | 0 1.3s Test Summary: | Pass Total Time test_add_constrained_variables_vector | 6 6 0.8s Test Summary: | Pass Total Time test_add_parameter | 6 6 7.2s Test Summary: | Total Time test_attribute_AbsoluteGapTolerance | 0 0.1s Test Summary: | Total Time test_attribute_NodeLimit | 0 0.1s Test Summary: | Total Time test_attribute_NumberThreads | 0 0.4s Test Summary: | Total Time test_attribute_ObjectiveLimit | 0 0.1s Test Summary: | Pass Total Time test_attribute_RelativeGapTolerance | 4 4 0.5s Test Summary: | Pass Total Time test_attribute_Silent | 4 4 0.3s Test Summary: | Total Time test_attribute_SolutionLimit | 0 0.1s Test Summary: | Pass Total Time test_attribute_SolverName | 1 1 0.1s Test Summary: | Pass Total Time test_attribute_SolverVersion | 1 1 0.2s Test Summary: | Total Time test_attribute_TimeLimitSec | 0 0.4s Test Summary: | Pass Total Time test_attribute_after_empty | 4 4 0.1s Test Summary: | Pass Total Time test_attribute_unsupported_constraint | 2 2 2.9s Test Summary: | Pass Total Time test_basic_ScalarAffineFunction_EqualTo | 19 19 8.3s Test Summary: | Pass Total Time test_basic_ScalarAffineFunction_GreaterThan | 19 19 10.1s Test Summary: | Total Time test_basic_ScalarAffineFunction_Integer | 0 8.7s Test Summary: | Pass Total Time test_basic_ScalarAffineFunction_Interval | 19 19 18.2s Test Summary: | Pass Total Time test_basic_ScalarAffineFunction_LessThan | 19 19 7.0s Test Summary: | Total Time test_basic_ScalarAffineFunction_Semicontinuous | 0 8.4s Test Summary: | Total Time test_basic_ScalarAffineFunction_Semiinteger | 0 8.7s Test Summary: | Total Time test_basic_ScalarAffineFunction_ZeroOne | 0 8.0s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_EqualTo | 0 8.8s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_GreaterThan | 0 8.1s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_Integer | 0 8.0s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_Interval | 0 8.1s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_LessThan | 0 8.0s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_Semicontinuous | 0 8.3s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_Semiinteger | 0 8.3s Test Summary: | Total Time test_basic_ScalarNonlinearFunction_ZeroOne | 0 7.5s Test Summary: | Pass Total Time test_basic_ScalarQuadraticFunction_EqualTo | 1 1 15.0s Test Summary: | Pass Total Time test_basic_ScalarQuadraticFunction_GreaterThan | 1 1 6.7s Test Summary: | Total Time test_basic_ScalarQuadraticFunction_Integer | 0 7.9s Test Summary: | Pass Total Time test_basic_ScalarQuadraticFunction_Interval | 1 1 17.1s Test Summary: | Pass Total Time test_basic_ScalarQuadraticFunction_LessThan | 1 1 7.1s Test Summary: | Total Time test_basic_ScalarQuadraticFunction_Semicontinuous | 0 8.5s Test Summary: | Total Time test_basic_ScalarQuadraticFunction_Semiinteger | 0 8.3s Test Summary: | Total Time test_basic_ScalarQuadraticFunction_ZeroOne | 0 8.4s Test Summary: | Pass Total Time test_basic_VariableIndex_EqualTo | 15 15 5.0s Test Summary: | Pass Total Time test_basic_VariableIndex_GreaterThan | 15 15 4.3s Test Summary: | Total Time test_basic_VariableIndex_Integer | 0 4.2s Test Summary: | Pass Total Time test_basic_VariableIndex_Interval | 15 15 10.9s Test Summary: | Pass Total Time test_basic_VariableIndex_LessThan | 15 15 5.0s Test Summary: | Total Time test_basic_VariableIndex_Semicontinuous | 0 5.0s Test Summary: | Total Time test_basic_VariableIndex_Semiinteger | 0 5.1s Test Summary: | Total Time test_basic_VariableIndex_ZeroOne | 0 4.2s Test Summary: | Total Time test_basic_VectorAffineFunction_AllDifferent | 0 10.2s Test Summary: | Total Time test_basic_VectorAffineFunction_BinPacking | 0 9.3s Test Summary: | Total Time test_basic_VectorAffineFunction_Circuit | 0 9.2s Test Summary: | Total Time test_basic_VectorAffineFunction_Complements | 0 9.3s Test Summary: | Total Time test_basic_VectorAffineFunction_CountAtLeast | 0 10.3s Test Summary: | Total Time test_basic_VectorAffineFunction_CountBelongs | 0 8.9s Test Summary: | Total Time test_basic_VectorAffineFunction_CountDistinct | 0 9.0s Test Summary: | Total Time test_basic_VectorAffineFunction_CountGreaterThan | 0 9.3s Test Summary: | Total Time test_basic_VectorAffineFunction_Cumulative | 0 8.9s Test Summary: | Total Time test_basic_VectorAffineFunction_DualExponentialCone | 0 9.1s Test Summary: | Total Time test_basic_VectorAffineFunction_DualPowerCone | 0 8.9s Test Summary: | Total Time test_basic_VectorAffineFunction_ExponentialCone | 0 9.0s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_GeometricMeanCone | 19 19 21.7s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_HermitianPositiveSemidefiniteConeTriangle | 19 19 9.6s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_HyperRectangle | 19 19 7.2s Test Summary: | Total Time test_basic_VectorAffineFunction_Indicator_GreaterThan | 0 8.8s Test Summary: | Total Time test_basic_VectorAffineFunction_Indicator_LessThan | 0 9.0s Test Summary: | Total Time test_basic_VectorAffineFunction_LogDetConeSquare | 0 10.7s Test Summary: | Total Time test_basic_VectorAffineFunction_LogDetConeTriangle | 0 9.1s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_Nonnegatives | 19 19 7.3s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_Nonpositives | 19 19 10.4s Test Summary: | Total Time test_basic_VectorAffineFunction_NormCone | 0 9.2s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_NormInfinityCone | 19 19 12.8s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_NormNuclearCone | 19 19 9.3s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_NormOneCone | 19 19 11.6s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_NormSpectralCone | 19 19 8.3s Test Summary: | Total Time test_basic_VectorAffineFunction_Path | 0 10.2s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_PositiveSemidefiniteConeSquare | 19 19 10.7s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_PositiveSemidefiniteConeTriangle | 19 19 6.7s Test Summary: | Total Time test_basic_VectorAffineFunction_PowerCone | 0 9.9s Test Summary: | Total Time test_basic_VectorAffineFunction_RelativeEntropyCone | 0 9.3s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_RootDetConeSquare | 19 19 15.4s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_RootDetConeTriangle | 19 19 7.1s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_RotatedSecondOrderCone | 19 19 7.7s Test Summary: | Total Time test_basic_VectorAffineFunction_SOS1 | 0 9.9s Test Summary: | Total Time test_basic_VectorAffineFunction_SOS2 | 0 10.0s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_ScaledPositiveSemidefiniteConeTriangle | 19 19 10.2s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_SecondOrderCone | 19 19 9.1s Test Summary: | Total Time test_basic_VectorAffineFunction_Table | 0 10.1s Test Summary: | Total Time test_basic_VectorAffineFunction_VectorNonlinearOracle | 0 10.1s Test Summary: | Pass Total Time test_basic_VectorAffineFunction_Zeros | 19 19 6.4s Test Summary: | Total Time test_basic_VectorNonlinearFunction_AllDifferent | 0 11.7s Test Summary: | Total Time test_basic_VectorNonlinearFunction_BinPacking | 0 8.8s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Circuit | 0 8.3s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Complements | 0 8.2s Test Summary: | Total Time test_basic_VectorNonlinearFunction_CountAtLeast | 0 9.3s Test Summary: | Total Time test_basic_VectorNonlinearFunction_CountBelongs | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_CountDistinct | 0 8.4s Test Summary: | Total Time test_basic_VectorNonlinearFunction_CountGreaterThan | 0 8.2s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Cumulative | 0 8.4s Test Summary: | Total Time test_basic_VectorNonlinearFunction_DualExponentialCone | 0 8.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_DualPowerCone | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_ExponentialCone | 0 8.3s Test Summary: | Total Time test_basic_VectorNonlinearFunction_GeometricMeanCone | 0 9.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_HermitianPositiveSemidefiniteConeTriangle | 0 8.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_HyperRectangle | 0 8.8s Test Summary: | Total Time test_basic_VectorNonlinearFunction_LogDetConeSquare | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_LogDetConeTriangle | 0 8.8s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Nonnegatives | 0 8.3s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Nonpositives | 0 8.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_NormCone | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_NormInfinityCone | 0 8.4s Test Summary: | Total Time test_basic_VectorNonlinearFunction_NormNuclearCone | 0 8.2s Test Summary: | Total Time test_basic_VectorNonlinearFunction_NormOneCone | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_NormSpectralCone | 0 9.2s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Path | 0 9.1s Test Summary: | Total Time test_basic_VectorNonlinearFunction_PositiveSemidefiniteConeSquare | 0 8.7s Test Summary: | Total Time test_basic_VectorNonlinearFunction_PositiveSemidefiniteConeTriangle | 0 9.0s Test Summary: | Total Time test_basic_VectorNonlinearFunction_PowerCone | 0 8.9s Test Summary: | Total Time test_basic_VectorNonlinearFunction_RelativeEntropyCone | 0 8.6s Test Summary: | Total Time test_basic_VectorNonlinearFunction_RootDetConeSquare | 0 8.8s Test Summary: | Total Time test_basic_VectorNonlinearFunction_RootDetConeTriangle | 0 8.4s Test Summary: | Total Time test_basic_VectorNonlinearFunction_RotatedSecondOrderCone | 0 8.2s Test Summary: | Total Time test_basic_VectorNonlinearFunction_SOS1 | 0 8.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_SOS2 | 0 9.5s Test Summary: | Total Time test_basic_VectorNonlinearFunction_ScaledPositiveSemidefiniteConeTriangle | 0 9.0s Test Summary: | Total Time test_basic_VectorNonlinearFunction_SecondOrderCone | 0 8.9s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Table | 0 9.7s Test Summary: | Total Time test_basic_VectorNonlinearFunction_VectorNonlinearOracle | 0 10.1s Test Summary: | Total Time test_basic_VectorNonlinearFunction_Zeros | 0 8.9s Test Summary: | Total Time test_basic_VectorOfVariables_AllDifferent | 0 7.1s Test Summary: | Total Time test_basic_VectorOfVariables_BinPacking | 0 7.7s Test Summary: | Total Time test_basic_VectorOfVariables_Circuit | 0 7.1s Test Summary: | Total Time test_basic_VectorOfVariables_Complements | 0 7.2s Test Summary: | Total Time test_basic_VectorOfVariables_CountAtLeast | 0 7.5s Test Summary: | Total Time test_basic_VectorOfVariables_CountBelongs | 0 7.6s Test Summary: | Total Time test_basic_VectorOfVariables_CountDistinct | 0 7.2s Test Summary: | Total Time test_basic_VectorOfVariables_CountGreaterThan | 0 7.1s Test Summary: | Total Time test_basic_VectorOfVariables_Cumulative | 0 7.1s Test Summary: | Total Time test_basic_VectorOfVariables_DualExponentialCone | 0 7.0s Test Summary: | Total Time test_basic_VectorOfVariables_DualPowerCone | 0 6.9s Test Summary: | Total Time test_basic_VectorOfVariables_ExponentialCone | 0 6.8s Test Summary: | Pass Total Time test_basic_VectorOfVariables_GeometricMeanCone | 15 15 8.5s Test Summary: | Pass Total Time test_basic_VectorOfVariables_HermitianPositiveSemidefiniteConeTriangle | 15 15 6.1s Test Summary: | Pass Total Time test_basic_VectorOfVariables_HyperRectangle | 15 15 4.0s Test Summary: | Total Time test_basic_VectorOfVariables_LogDetConeSquare | 0 7.3s Test Summary: | Total Time test_basic_VectorOfVariables_LogDetConeTriangle | 0 7.2s Test Summary: | Pass Total Time test_basic_VectorOfVariables_Nonnegatives | 15 15 4.4s Test Summary: | Pass Total Time test_basic_VectorOfVariables_Nonpositives | 15 15 8.1s Test Summary: | Total Time test_basic_VectorOfVariables_NormCone | 0 7.4s Test Summary: | Pass Total Time test_basic_VectorOfVariables_NormInfinityCone | 15 15 8.1s Test Summary: | Pass Total Time test_basic_VectorOfVariables_NormNuclearCone | 15 15 6.2s Test Summary: | Pass Total Time test_basic_VectorOfVariables_NormOneCone | 15 15 8.5s Test Summary: | Pass Total Time test_basic_VectorOfVariables_NormSpectralCone | 15 15 6.5s Test Summary: | Total Time test_basic_VectorOfVariables_Path | 0 7.4s Test Summary: | Pass Total Time test_basic_VectorOfVariables_PositiveSemidefiniteConeSquare | 15 15 8.8s Test Summary: | Pass Total Time test_basic_VectorOfVariables_PositiveSemidefiniteConeTriangle | 15 15 2.9s Test Summary: | Total Time test_basic_VectorOfVariables_PowerCone | 0 9.0s Test Summary: | Total Time test_basic_VectorOfVariables_RelativeEntropyCone | 0 7.2s Test Summary: | Pass Total Time test_basic_VectorOfVariables_RootDetConeSquare | 15 15 12.8s Test Summary: | Pass Total Time test_basic_VectorOfVariables_RootDetConeTriangle | 15 15 4.3s Test Summary: | Pass Total Time test_basic_VectorOfVariables_RotatedSecondOrderCone | 15 15 4.7s Test Summary: | Total Time test_basic_VectorOfVariables_SOS1 | 0 6.9s Test Summary: | Total Time test_basic_VectorOfVariables_SOS2 | 0 7.6s Test Summary: | Pass Total Time test_basic_VectorOfVariables_ScaledPositiveSemidefiniteConeTriangle | 15 15 7.4s Test Summary: | Pass Total Time test_basic_VectorOfVariables_SecondOrderCone | 15 15 7.4s Test Summary: | Total Time test_basic_VectorOfVariables_Table | 0 6.7s Test Summary: | Total Time test_basic_VectorOfVariables_VectorNonlinearOracle | 0 5.0s Test Summary: | Pass Total Time test_basic_VectorOfVariables_Zeros | 15 15 6.9s Test Summary: | Total Time test_basic_VectorQuadraticFunction_AllDifferent | 0 9.4s Test Summary: | Total Time test_basic_VectorQuadraticFunction_BinPacking | 0 8.7s Test Summary: | Total Time test_basic_VectorQuadraticFunction_Circuit | 0 8.6s Test Summary: | Total Time test_basic_VectorQuadraticFunction_Complements | 0 9.0s Test Summary: | Total Time test_basic_VectorQuadraticFunction_CountAtLeast | 0 9.3s Test Summary: | Total Time test_basic_VectorQuadraticFunction_CountBelongs | 0 8.9s Test Summary: | Total Time test_basic_VectorQuadraticFunction_CountDistinct | 0 9.1s Test Summary: | Total Time test_basic_VectorQuadraticFunction_CountGreaterThan | 0 9.3s Test Summary: | Total Time test_basic_VectorQuadraticFunction_Cumulative | 0 8.8s Test Summary: | Total Time test_basic_VectorQuadraticFunction_DualExponentialCone | 0 8.4s Test Summary: | Total Time test_basic_VectorQuadraticFunction_DualPowerCone | 0 9.0s Test Summary: | Total Time test_basic_VectorQuadraticFunction_ExponentialCone | 0 8.6s Test Summary: | Pass Total Time test_basic_VectorQuadraticFunction_GeometricMeanCone | 1 1 12.1s Test Summary: | Pass Total Time test_basic_VectorQuadraticFunction_HermitianPositiveSemidefiniteConeTriangle | 1 1 10.9s Test Summary: | Pass Total Time test_basic_VectorQuadraticFunction_HyperRectangle | 1 1 7.5s ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 37 running 1 of 1 signal (10): User defined signal 1 _ZN4llvm12SelectionDAG10LegalizeOpEPNS_6SDNodeERNS_14SmallSetVectorIS2_Lj16EEE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) unknown function (ip: 0x48427adf) at (unknown file) unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== Test Summary: | Total Time ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 1 running 0 of 1 signal (10): User defined signal 1 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /source/src/scheduler.c:457 wait at ./task.jl:1246 wait_forever at ./task.jl:1168 jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] start_task at /source/src/task.c:1275 unknown function (ip: (nil)) at (unknown file) ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 test_basic_VectorQuadraticFunction_LogDetConeSquareOverhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x000070e86b5fc010 Total snapshots: 20. Utilization: 100% ╎18 @Base/client.jl:585 _start() ╎ 18 @Base/client.jl:310 exec_options(opts::Base.JLOptions) ╎ 18 @Base/boot.jl:517 eval(m::Module, e::Any) ╎ 18 @Base/Base.jl:325 (::Base.IncludeInto)(fname::String) ╎ 18 @Base/Base.jl:324 include(mapexpr::Function, mod::Module, _path::Str… ╎ 18 @Base/loading.jl:3190 _include(mapexpr::Function, mod::Module, _pat… ╎ ╎ 18 @Base/loading.jl:3130 include_string(mapexpr::typeof(identity), mo… ╎ ╎ 18 @Base/boot.jl:517 eval(m::Module, e::Any) ╎ ╎ 18 @Base/Base.jl:325 (::Base.IncludeInto)(fname::String) ╎ ╎ 18 @Base/Base.jl:324 include(mapexpr::Function, mod::Module, _path… ╎ ╎ 18 @Base/loading.jl:3190 _include(mapexpr::Function, mod::Module,… ╎ ╎ ╎ 18 @Base/loading.jl:3130 include_string(mapexpr::typeof(identity… ╎ ╎ ╎ 18 @Base/boot.jl:517 eval(m::Module, e::Any) ╎ ╎ ╎ 18 @MathOptInterface/…:223 kwcall(::@NamedTuple{exclude::Vecto… ╎ ╎ ╎ 18 @MathOptInterface/…:265 runtests(model::MathOptInterface.B… ╎ ╎ ╎ 18 @Test/src/Test.jl:2243 macro expansion 17╎ ╎ ╎ ╎ 18 @MathOptInterface/…:270 macro expansion | 0 10.2s ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x000078f965e85b40 Total snapshots: 437. Utilization: 0% ╎437 @Base/task.jl:1168 wait_forever() 436╎ 437 @Base/task.jl:1246 wait() [1] signal 15: Terminated in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /source/src/scheduler.c:457 wait at ./task.jl:1246 wait_forever at ./task.jl:1168 jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] start_task at /source/src/task.c:1275 unknown function (ip: (nil)) at (unknown file) Allocations: 18418821 (Pool: 18418155; Big: 666); GC: 15 [37] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/eshII/test/moi_tests.jl:15 unknown function (ip: 0x70e885d354dd) at /lib/x86_64-linux-gnu/libc.so.6 _ZNK4llvm16FoldingSetNodeIDeqENS_19FoldingSetNodeIDRefE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm14FoldingSetBase19FindNodeOrInsertPosERKNS_16FoldingSetNodeIDERPvRKNS0_14FoldingSetInfoE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm12SelectionDAG9getVTListENS_8ArrayRefINS_3EVTEEE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZNK4llvm12RegsForValue15getCopyFromRegsERNS_12SelectionDAGERNS_20FunctionLoweringInfoERKNS_5SDLocERNS_7SDValueEPS8_PKNS_5ValueE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm19SelectionDAGBuilder15getCopyFromRegsEPKNS_5ValueEPNS_4TypeE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm19SelectionDAGBuilder8getValueEPKNS_5ValueE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm19SelectionDAGBuilder16visitAtomicStoreERKNS_9StoreInstE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm19SelectionDAGBuilder5visitERKNS_11InstructionE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm16SelectionDAGISel16SelectBasicBlockENS_21ilist_iterator_w_bitsINS_12ilist_detail12node_optionsINS_11InstructionELb1ELb0EvLb1ENS_10BasicBlockEEELb0ELb1EEES7_Rb at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm16SelectionDAGISel20SelectAllBasicBlocksERKNS_8FunctionE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm16SelectionDAGISel20runOnMachineFunctionERNS_15MachineFunctionE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm22SelectionDAGISelLegacy20runOnMachineFunctionERNS_15MachineFunctionE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm19MachineFunctionPass13runOnFunctionERNS_8FunctionE.part.0 at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm13FPPassManager13runOnFunctionERNS_8FunctionE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm13FPPassManager11runOnModuleERNS_6ModuleE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) _ZN4llvm6legacy15PassManagerImpl3runERNS_6ModuleE at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) operator() at /source/src/jitlayers.cpp:1380 compileModule at /source/src/jitlayers.cpp:2299 materialize at /source/src/jitlayers.cpp:884 _ZN4llvm3orc19MaterializationTask3runEv at /opt/julia/bin/../lib/julia/libLLVM.so.20.1jl (unknown line) process_tasks at /source/src/julia-task-dispatcher.h:370 [inlined] work_until at /source/src/julia-task-dispatcher.h:352 wait at /source/src/julia-task-dispatcher.h:84 [inlined] get at /source/src/julia-task-dispatcher.h:171 [inlined] publishCIs at /source/src/jitlayers.cpp:2027 jl_compile_codeinst_impl at /source/src/jitlayers.cpp:487 jl_compile_method_internal at /source/src/gf.c:3655 _jl_invoke at /source/src/gf.c:4108 [inlined] ijl_apply_generic at /source/src/gf.c:4342 macro expansion at /home/pkgeval/.julia/packages/MathOptInterface/Q3V1z/src/Test/Test.jl:270 [inlined] macro expansion at /source/usr/share/julia/stdlib/v1.14/Test/src/Test.jl:2243 [inlined] #runtests#2 at /home/pkgeval/.julia/packages/MathOptInterface/Q3V1z/src/Test/Test.jl:265 runtests at /home/pkgeval/.julia/packages/MathOptInterface/Q3V1z/src/Test/Test.jl:223 unknown function (ip: 0x70e810ed22cd) at (unknown file) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_stmt_value at /source/src/interpreter.c:194 [inlined] eval_body at /source/src/interpreter.c:693 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:766 jl_toplevel_eval_flex at /source/src/toplevel.c:712 jl_eval_toplevel_stmts at /source/src/toplevel.c:602 jl_toplevel_eval_flex at /source/src/toplevel.c:684 ijl_toplevel_eval at /source/src/toplevel.c:780 ijl_toplevel_eval_in at /source/src/toplevel.c:825 eval at ./boot.jl:517 include_string at ./loading.jl:3130 _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 _include at ./loading.jl:3190 include at ./Base.jl:324 IncludeInto at ./Base.jl:325 unknown function (ip: 0x70e86910cc82) at (unknown file) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_stmt_value at /source/src/interpreter.c:194 [inlined] eval_body at /source/src/interpreter.c:693 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:766 jl_toplevel_eval_flex at /source/src/toplevel.c:712 jl_eval_toplevel_stmts at /source/src/toplevel.c:602 jl_toplevel_eval_flex at /source/src/toplevel.c:684 ijl_toplevel_eval at /source/src/toplevel.c:780 ijl_toplevel_eval_in at /source/src/toplevel.c:825 eval at ./boot.jl:517 include_string at ./loading.jl:3130 _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 _include at ./loading.jl:3190 include at ./Base.jl:324 IncludeInto at ./Base.jl:325 jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] do_call at /source/src/interpreter.c:123 eval_value at /source/src/interpreter.c:243 eval_stmt_value at /source/src/interpreter.c:194 [inlined] eval_body at /source/src/interpreter.c:693 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884 ijl_eval_thunk at /source/src/toplevel.c:766 jl_toplevel_eval_flex at /source/src/toplevel.c:712 jl_eval_toplevel_stmts at /source/src/toplevel.c:602 jl_toplevel_eval_flex at /source/src/toplevel.c:684 ijl_toplevel_eval at /source/src/toplevel.c:780 ijl_toplevel_eval_in at /source/src/toplevel.c:825 eval at ./boot.jl:517 exec_options at ./client.jl:310 _start at ./client.jl:585 jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] true_main at /source/src/jlapi.c:971 jl_repl_entrypoint at /source/src/jlapi.c:1138 main at /source/cli/loader_exe.c:58 unknown function (ip: 0x70e885c0a249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file) Allocations: 789151084 (Pool: 789140747; Big: 10337); GC: 1991 PkgEval terminated after 2723.09s: test duration exceeded the time limit