Package evaluation to test ClusteredLowRankSolver on Julia 1.14.0-DEV.2009 (d4d184e100*) started at 2026-04-10T02:14:11.302 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 14.42s ################################################################################ # Installation # Installing ClusteredLowRankSolver... Resolving package versions... Installed ClusteredLowRankSolver ─ v2.1.0 Updating `~/.julia/environments/v1.14/Project.toml` [cadeb640] + ClusteredLowRankSolver v2.1.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.48.5 [fb37089c] + Arblib v1.7.0 [0a1fb500] + BlockDiagonals v0.2.0 [cadeb640] + ClusteredLowRankSolver v2.1.0 [861a8166] + Combinatorics v1.1.0 [ffbed154] + DocStringExtensions v0.9.5 [1a297f60] + FillArrays v1.16.0 [14197337] + GenericLinearAlgebra v0.4.0 [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 [7e506255] + ScopedValues v1.6.0 [276daf66] + SpecialFunctions v2.7.2 [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 6.64s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 36838.8 ms ✓ Nemo 68604.6 ms ✓ ClusteredLowRankSolver 22906.4 ms ✓ ClusteredLowRankSolver → JuMPExt 20691.9 ms ✓ ClusteredLowRankSolver → MOIExt 4 dependencies successfully precompiled in 150 seconds. 73 already precompiled. Precompilation completed after 177.94s ################################################################################ # Testing # Testing ClusteredLowRankSolver Status `/tmp/jl_EqDq8r/Project.toml` [c3fe647b] AbstractAlgebra v0.48.5 [cadeb640] ClusteredLowRankSolver v2.1.0 [4076af6c] JuMP v1.30.0 [b8f27783] MathOptInterface v1.50.1 [2edaba10] Nemo v0.54.1 [1fd47b50] QuadGK v2.11.3 [276daf66] SpecialFunctions v2.7.2 [37e2e46d] LinearAlgebra v1.13.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_EqDq8r/Manifest.toml` [c3fe647b] AbstractAlgebra v0.48.5 [fb37089c] Arblib v1.7.0 [6e4b80f9] BenchmarkTools v1.7.0 [0a1fb500] BlockDiagonals v0.2.0 [cadeb640] ClusteredLowRankSolver v2.1.0 [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 v0.19.4 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [1a297f60] FillArrays v1.16.0 [f6369f11] ForwardDiff v1.3.3 [14197337] GenericLinearAlgebra v0.4.0 [076d061b] HashArrayMappedTries v0.2.0 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.7.1 [682c06a0] JSON v1.5.0 [4076af6c] JuMP v1.30.0 [0b1a1467] KrylovKit v0.10.2 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [b8f27783] MathOptInterface v1.50.1 [d8a4904e] MutableArithmetics v1.7.1 [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 v2.11.3 [fb686558] RandomExtensions v0.4.4 [7e506255] ScopedValues v1.6.0 [276daf66] SpecialFunctions v2.7.2 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [ec057cc2] StructUtils v2.7.1 [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 29.2 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 32.9 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 32.9 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 32.9 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 32.9 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 32.9 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 32.9 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 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 33.0 2.995e+12 1.720e+13 -1.811e+12 1.24e+00 9.79e-02 9.79e-12 3.10e-52 1.00e+00 1.00e+00 3.00e-01 21 33.0 8.988e+11 4.388e+12 -1.903e+12 2.53e+00 1.05e-64 0.00e+00 7.20e-52 1.00e+00 1.00e+00 3.00e-01 22 33.0 2.696e+11 1.339e+12 -5.487e+11 2.39e+00 2.45e-65 2.37e-66 2.63e-52 8.90e-01 8.90e-01 1.00e-01 23 33.0 5.361e+10 2.688e+11 -1.065e+11 2.31e+00 1.54e-66 1.78e-66 3.56e-53 8.70e-01 8.70e-01 1.00e-01 24 33.0 1.161e+10 5.819e+10 -2.310e+10 2.32e+00 7.07e-67 5.93e-67 5.49e-54 8.52e-01 8.52e-01 1.00e-01 25 33.1 2.713e+09 1.355e+10 -5.443e+09 2.34e+00 1.83e-67 1.11e-67 8.47e-55 8.36e-01 8.36e-01 1.00e-01 26 33.1 6.711e+08 3.370e+09 -1.328e+09 2.30e+00 3.71e-68 2.78e-68 1.40e-55 8.30e-01 8.30e-01 1.00e-01 27 33.1 1.696e+08 8.422e+08 -3.452e+08 2.39e+00 7.92e-69 2.32e-69 2.37e-56 8.10e-01 8.10e-01 1.00e-01 28 33.1 4.599e+07 2.340e+08 -8.791e+07 2.20e+00 2.25e-69 4.06e-69 4.50e-57 8.18e-01 8.18e-01 1.00e-01 29 33.1 1.213e+07 5.873e+07 -2.619e+07 2.61e+00 8.69e-70 7.24e-70 8.19e-58 7.63e-01 7.63e-01 1.00e-01 30 33.1 3.798e+06 2.001e+07 -6.576e+06 1.98e+00 1.29e-70 2.54e-70 1.94e-58 8.24e-01 8.24e-01 1.00e-01 31 33.1 9.800e+05 4.616e+06 -2.245e+06 2.89e+00 8.86e-71 7.24e-71 3.41e-59 7.75e-01 7.75e-01 1.00e-01 32 33.1 2.963e+05 1.559e+06 -5.151e+05 1.99e+00 1.08e-71 1.58e-71 7.66e-60 8.39e-01 8.39e-01 1.00e-01 33 33.1 7.263e+04 3.436e+05 -1.649e+05 2.85e+00 6.79e-72 5.09e-72 1.24e-60 7.97e-01 7.97e-01 1.00e-01 34 33.1 2.051e+04 1.063e+05 -3.733e+04 2.08e+00 1.51e-72 1.41e-72 2.50e-61 8.41e-01 8.41e-01 1.00e-01 35 33.1 4.988e+03 2.366e+04 -1.125e+04 2.81e+00 2.00e-73 7.07e-74 3.98e-62 8.01e-01 8.01e-01 1.00e-01 36 33.1 1.393e+03 7.141e+03 -2.612e+03 2.15e+00 6.36e-74 8.84e-75 7.93e-63 8.38e-01 8.38e-01 1.00e-01 37 33.1 3.422e+02 1.603e+03 -7.929e+02 2.96e+00 1.92e-74 2.21e-75 1.28e-63 7.97e-01 7.97e-01 1.00e-01 38 33.1 9.665e+01 4.860e+02 -1.905e+02 2.29e+00 1.58e-74 2.21e-75 2.60e-64 8.39e-01 8.39e-01 1.00e-01 39 33.1 2.366e+01 1.051e+02 -6.048e+01 3.71e+00 5.18e-75 8.29e-76 4.19e-65 8.03e-01 8.03e-01 1.00e-01 40 33.1 6.562e+00 2.998e+01 -1.595e+01 3.28e+00 7.25e-76 2.25e-76 8.25e-66 8.57e-01 8.57e-01 1.00e-01 41 33.2 1.499e+00 4.629e+00 -5.866e+00 8.49e+00 6.91e-77 3.45e-77 1.18e-66 8.75e-01 8.75e-01 1.00e-01 42 33.2 3.183e-01 -4.666e-01 -2.695e+00 7.05e-01 5.18e-77 1.73e-77 1.47e-67 9.64e-01 9.64e-01 1.00e-01 43 33.2 4.224e-02 -1.900e+00 -2.195e+00 7.22e-02 1.73e-77 8.64e-78 5.34e-69 9.83e-01 9.83e-01 1.00e-01 44 33.2 4.861e-03 -2.089e+00 -2.123e+00 8.08e-03 8.64e-78 8.64e-78 8.94e-71 9.97e-01 9.97e-01 1.00e-01 45 33.2 5.004e-04 -2.110e+00 -2.114e+00 8.29e-04 1.73e-77 3.45e-77 2.91e-73 9.99e-01 9.99e-01 1.00e-01 46 33.2 5.050e-05 -2.113e+00 -2.113e+00 8.37e-05 8.64e-78 8.64e-78 6.22e-75 1.00e+00 1.00e+00 1.00e-01 47 33.2 5.060e-06 -2.113e+00 -2.113e+00 8.38e-06 1.73e-77 8.64e-78 2.76e-75 1.00e+00 1.00e+00 1.00e-01 48 33.2 5.060e-07 -2.113e+00 -2.113e+00 8.38e-07 8.64e-78 2.59e-77 1.22e-74 1.00e+00 1.00e+00 1.00e-01 49 33.2 5.061e-08 -2.113e+00 -2.113e+00 8.38e-08 1.73e-77 1.73e-77 1.85e-74 1.00e+00 1.00e+00 1.00e-01 50 33.2 5.062e-09 -2.113e+00 -2.113e+00 8.39e-09 8.64e-78 1.73e-77 3.50e-74 1.00e+00 1.00e+00 1.00e-01 51 33.2 5.063e-10 -2.113e+00 -2.113e+00 8.39e-10 8.64e-78 4.32e-77 3.34e-74 1.00e+00 1.00e+00 1.00e-01 52 33.2 5.063e-11 -2.113e+00 -2.113e+00 8.39e-11 8.64e-78 2.59e-77 9.71e-74 1.00e+00 1.00e+00 1.00e-01 53 33.2 5.064e-12 -2.113e+00 -2.113e+00 8.39e-12 8.64e-78 2.59e-77 1.10e-73 1.00e+00 1.00e+00 1.00e-01 54 33.2 5.064e-13 -2.113e+00 -2.113e+00 8.39e-13 8.64e-78 2.59e-77 2.52e-73 1.00e+00 1.00e+00 1.00e-01 55 33.2 5.065e-14 -2.113e+00 -2.113e+00 8.39e-14 1.73e-77 2.59e-77 7.67e-73 1.00e+00 1.00e+00 1.00e-01 56 33.2 5.065e-15 -2.113e+00 -2.113e+00 8.39e-15 1.73e-77 1.73e-77 7.77e-73 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 33.292988 seconds (3.81 M allocations: 228.825 MiB, 1.06% gc time, 98.46% 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:-2.112913881423605414043793657560134781531659244118085929895393090655747343735932 Dual objective:-2.112913881423601868090783773838898064538721412731339986955658095874854222687631 duality gap:8.391144194420712857301593694672898074421393516487557669013550226836859604537604e-16 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.6 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 0.7 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 0.7 1.478e+19 1.359e+09 5.379e+11 9.95e-01 6.29e+08 6.29e-02 1.11e-65 8.20e-01 1.00e+00 3.00e-01 4 0.8 4.264e+18 4.397e+08 8.578e+11 9.99e-01 1.13e+08 1.13e-02 8.96e-65 8.92e-01 1.00e+00 3.00e-01 5 0.8 7.344e+17 4.931e+07 1.370e+12 1.00e+00 1.22e+07 1.22e-03 2.13e-64 8.98e-01 1.00e+00 3.00e-01 6 0.9 1.198e+17 4.867e+06 2.189e+12 1.00e+00 1.24e+06 1.24e-04 2.94e-64 8.95e-01 1.00e+00 3.00e-01 7 0.9 2.010e+16 5.242e+05 3.499e+12 1.00e+00 1.30e+05 1.30e-05 4.37e-64 8.99e-01 1.00e+00 3.00e-01 8 1.0 3.262e+15 5.203e+04 5.596e+12 1.00e+00 1.32e+04 1.32e-06 6.84e-64 8.97e-01 1.00e+00 3.00e-01 9 1.5 5.394e+14 5.483e+03 8.950e+12 1.00e+00 1.37e+03 1.37e-07 7.93e-64 8.99e-01 1.00e+00 3.00e-01 10 1.6 8.742e+13 5.525e+02 1.430e+13 1.00e+00 1.38e+02 1.38e-08 1.58e-63 8.99e-01 1.00e+00 3.00e-01 11 1.6 1.453e+13 6.378e+01 2.266e+13 1.00e+00 1.40e+01 1.40e-09 2.31e-63 8.96e-01 1.00e+00 3.00e-01 12 1.7 2.995e+12 1.385e+01 3.308e+13 1.00e+00 1.45e+00 1.45e-10 4.13e-63 8.80e-01 1.00e+00 3.00e-01 13 1.8 1.001e+12 9.125e+00 2.897e+13 1.00e+00 1.74e-01 1.74e-11 5.39e-63 8.85e-01 1.00e+00 3.00e-01 14 1.8 3.229e+11 8.728e+00 1.226e+13 1.00e+00 2.01e-02 2.01e-12 6.99e-63 8.77e-01 1.00e+00 3.00e-01 15 1.9 9.802e+10 8.791e+00 3.989e+12 1.00e+00 2.47e-03 2.47e-13 1.45e-63 1.00e+00 1.00e+00 3.00e-01 16 2.0 2.964e+10 8.979e+00 1.245e+12 1.00e+00 5.18e-77 1.73e-77 2.33e-64 1.00e+00 1.00e+00 3.00e-01 17 2.0 8.892e+09 9.036e+00 3.735e+11 1.00e+00 3.45e-77 8.64e-78 1.90e-65 9.97e-01 9.97e-01 1.00e-01 18 2.1 9.112e+08 9.041e+00 3.827e+10 1.00e+00 5.18e-77 2.59e-77 8.31e-66 1.00e+00 1.00e+00 1.00e-01 19 2.2 9.113e+07 9.046e+00 3.828e+09 1.00e+00 5.18e-77 4.32e-77 2.39e-67 1.00e+00 1.00e+00 1.00e-01 20 2.2 9.114e+06 9.050e+00 3.828e+08 1.00e+00 5.18e-77 1.73e-77 1.25e-67 1.00e+00 1.00e+00 1.00e-01 21 2.3 9.115e+05 9.054e+00 3.828e+07 1.00e+00 2.59e-77 3.45e-77 2.32e-69 1.00e+00 1.00e+00 1.00e-01 22 2.4 9.116e+04 9.058e+00 3.829e+06 1.00e+00 3.45e-77 2.59e-77 2.55e-70 1.00e+00 1.00e+00 1.00e-01 23 2.5 9.117e+03 9.061e+00 3.829e+05 1.00e+00 5.18e-77 1.73e-77 2.72e-71 1.00e+00 1.00e+00 1.00e-01 24 2.5 9.119e+02 9.064e+00 3.831e+04 1.00e+00 3.45e-77 3.45e-77 5.66e-72 1.00e+00 1.00e+00 1.00e-01 25 3.1 9.150e+01 9.069e+00 3.852e+03 9.95e-01 6.91e-77 3.45e-77 8.49e-73 9.96e-01 9.96e-01 1.00e-01 26 3.2 9.449e+00 9.090e+00 4.060e+02 9.56e-01 5.18e-77 1.73e-77 4.86e-74 9.67e-01 9.67e-01 1.00e-01 27 3.3 1.226e+00 9.266e+00 6.076e+01 7.35e-01 5.18e-77 3.45e-77 6.08e-75 8.41e-01 8.41e-01 1.00e-01 28 3.3 2.984e-01 1.028e+01 2.281e+01 3.79e-01 4.32e-77 2.59e-77 2.17e-75 7.57e-01 7.57e-01 1.00e-01 29 3.4 9.520e-02 1.184e+01 1.584e+01 1.44e-01 3.89e-77 2.59e-77 4.84e-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 5.75e-77 2.59e-77 9.59e-75 6.13e-01 6.13e-01 1.00e-01 31 3.5 2.281e-02 1.280e+01 1.376e+01 3.61e-02 7.97e-77 2.59e-77 5.44e-75 8.46e-01 8.46e-01 1.00e-01 32 3.6 5.435e-03 1.307e+01 1.330e+01 8.65e-03 4.53e-77 1.73e-77 1.03e-74 8.46e-01 8.46e-01 1.00e-01 33 3.7 1.296e-03 1.314e+01 1.319e+01 2.07e-03 3.62e-77 1.73e-77 6.92e-74 8.17e-01 8.17e-01 1.00e-01 34 3.7 3.428e-04 1.315e+01 1.317e+01 5.47e-04 6.91e-77 1.73e-77 3.95e-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 6.91e-77 1.73e-77 1.14e-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 1.45e-72 8.83e-01 8.83e-01 1.00e-01 37 3.9 6.117e-06 1.316e+01 1.316e+01 9.76e-06 4.57e-77 3.45e-77 7.79e-73 8.72e-01 8.72e-01 1.00e-01 38 4.0 1.315e-06 1.316e+01 1.316e+01 2.10e-06 3.92e-77 2.59e-77 7.76e-73 9.01e-01 9.01e-01 1.00e-01 39 4.1 2.486e-07 1.316e+01 1.316e+01 3.97e-07 6.91e-77 8.64e-78 4.46e-72 9.70e-01 9.70e-01 1.00e-01 40 4.1 3.166e-08 1.316e+01 1.316e+01 5.05e-08 6.91e-77 2.59e-77 9.87e-72 9.98e-01 9.98e-01 1.00e-01 41 4.7 3.233e-09 1.316e+01 1.316e+01 5.16e-09 8.90e-77 4.32e-77 6.71e-72 9.98e-01 9.98e-01 1.00e-01 42 4.8 3.293e-10 1.316e+01 1.316e+01 5.26e-10 7.09e-77 2.59e-77 1.69e-71 1.00e+00 1.00e+00 1.00e-01 43 4.8 3.302e-11 1.316e+01 1.316e+01 5.27e-11 7.20e-77 2.59e-77 7.47e-72 1.00e+00 1.00e+00 1.00e-01 44 4.9 3.302e-12 1.316e+01 1.316e+01 5.27e-12 5.55e-77 2.59e-77 3.61e-72 1.00e+00 1.00e+00 1.00e-01 45 4.9 3.303e-13 1.316e+01 1.316e+01 5.27e-13 6.91e-77 2.59e-77 1.97e-71 1.00e+00 1.00e+00 1.00e-01 46 5.0 3.303e-14 1.316e+01 1.316e+01 5.27e-14 6.91e-77 8.64e-78 1.47e-71 1.00e+00 1.00e+00 1.00e-01 47 5.1 3.304e-15 1.316e+01 1.316e+01 5.27e-15 6.91e-77 2.59e-77 9.58e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.084286 seconds (5.53 M allocations: 373.399 MiB, 38.91% gc time, 10.02% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:13.15831434739031265723010597358414243694842735360904581681097979482963852196111 Dual objective:13.15831434739029878110935908186267569884704262741288633296472907270764138481403 duality gap:5.272757733456861291271434148212117416317076743473987930993277228237123297614439e-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 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 0.2 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 0.3 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 0.4 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 0.5 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 0.6 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 0.7 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 0.8 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 0.9 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 1.0 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 1.1 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 1.2 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 1.4 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 3.43e-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 6.69e-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 2.23e-48 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 8.57e-48 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 8.93e-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 8.83e-48 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 1.32e-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 1.81e-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 4.68e-48 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 3.38e-49 9.04e-01 9.19e-01 3.00e-01 25 3.2 2.210e+08 -2.876e+08 9.863e+09 1.06e+00 1.86e-07 5.62e+03 1.29e-48 9.41e-01 1.00e+00 3.00e-01 26 3.3 6.517e+07 -7.947e+07 3.067e+09 1.05e+00 1.11e-08 3.34e+02 1.27e-47 1.00e+00 1.00e+00 3.00e-01 27 3.4 1.954e+07 -1.955e+07 9.380e+08 1.04e+00 2.62e-63 9.85e-44 1.24e-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 1.83e-63 2.20e-43 7.55e-48 1.00e+00 1.00e+00 1.00e-01 29 4.3 5.873e+05 -5.873e+05 2.819e+07 1.04e+00 1.21e-63 8.30e-43 2.39e-49 1.00e+00 1.00e+00 1.00e-01 30 4.4 5.874e+04 -5.874e+04 2.819e+06 1.04e+00 1.90e-63 8.20e-43 1.57e-50 1.00e+00 1.00e+00 1.00e-01 31 4.5 5.874e+03 -5.874e+03 2.820e+05 1.04e+00 2.14e-63 3.18e-43 5.50e-52 1.00e+00 1.00e+00 1.00e-01 32 4.6 5.875e+02 -5.874e+02 2.820e+04 1.04e+00 1.56e-63 6.27e-45 9.53e-53 1.00e+00 1.00e+00 1.00e-01 33 4.7 5.876e+01 -5.866e+01 2.821e+03 1.04e+00 1.46e-63 2.05e-43 9.16e-54 1.00e+00 1.00e+00 1.00e-01 34 4.8 5.884e+00 -5.788e+00 2.825e+02 1.04e+00 1.38e-63 4.20e-43 6.26e-55 9.99e-01 9.99e-01 1.00e-01 35 4.9 5.954e-01 -4.995e-01 2.868e+01 1.04e+00 1.28e-63 4.65e-43 4.32e-55 9.88e-01 9.88e-01 1.00e-01 36 5.0 6.616e-02 3.259e-02 3.275e+00 9.80e-01 1.51e-63 1.57e-43 2.00e-55 9.22e-01 9.22e-01 1.00e-01 37 5.1 1.126e-02 1.068e-01 6.584e-01 5.52e-01 1.49e-63 4.37e-43 1.69e-55 8.48e-01 8.48e-01 1.00e-01 38 5.2 2.667e-03 1.882e-01 3.188e-01 1.31e-01 1.25e-63 8.97e-43 1.56e-55 8.38e-01 8.38e-01 1.00e-01 39 5.3 6.553e-04 2.394e-01 2.715e-01 3.21e-02 1.40e-63 2.30e-42 2.92e-56 8.06e-01 8.06e-01 1.00e-01 40 5.4 1.798e-04 2.495e-01 2.583e-01 8.81e-03 1.70e-63 6.95e-43 2.35e-56 8.23e-01 8.23e-01 1.00e-01 41 5.5 4.661e-05 2.526e-01 2.549e-01 2.28e-03 1.82e-63 6.73e-44 6.82e-56 7.89e-01 7.89e-01 1.00e-01 42 5.7 1.350e-05 2.534e-01 2.540e-01 6.61e-04 8.79e-64 9.54e-43 5.14e-55 7.75e-01 7.75e-01 1.00e-01 43 5.8 4.080e-06 2.536e-01 2.538e-01 2.00e-04 1.84e-63 3.13e-43 1.09e-55 7.61e-01 7.61e-01 1.00e-01 44 6.4 1.286e-06 2.537e-01 2.538e-01 6.30e-05 1.46e-63 2.37e-43 1.12e-55 9.61e-01 9.61e-01 1.00e-01 45 6.5 1.739e-07 2.537e-01 2.537e-01 8.52e-06 1.60e-63 5.97e-44 4.48e-55 9.60e-01 9.60e-01 1.00e-01 46 6.6 2.369e-08 2.537e-01 2.537e-01 1.16e-06 1.73e-63 1.02e-42 7.57e-55 9.77e-01 9.77e-01 1.00e-01 47 6.8 2.855e-09 2.537e-01 2.537e-01 1.40e-07 1.87e-63 7.02e-43 6.17e-55 9.93e-01 9.93e-01 1.00e-01 48 6.9 3.031e-10 2.537e-01 2.537e-01 1.49e-08 2.28e-63 1.82e-43 8.84e-55 9.99e-01 9.99e-01 1.00e-01 49 7.0 3.050e-11 2.537e-01 2.537e-01 1.49e-09 2.12e-63 2.06e-42 6.16e-55 1.00e+00 1.00e+00 1.00e-01 50 7.1 3.051e-12 2.537e-01 2.537e-01 1.49e-10 1.34e-63 6.18e-43 2.21e-54 1.00e+00 1.00e+00 1.00e-01 51 7.2 3.051e-13 2.537e-01 2.537e-01 1.50e-11 1.27e-63 7.10e-43 1.10e-54 1.00e+00 1.00e+00 1.00e-01 52 7.3 3.052e-14 2.537e-01 2.537e-01 1.50e-12 1.66e-63 2.03e-42 3.46e-55 1.00e+00 1.00e+00 1.00e-01 53 7.4 3.052e-15 2.537e-01 2.537e-01 1.50e-13 2.13e-63 2.21e-42 1.23e-54 1.00e+00 1.00e+00 1.00e-01 54 7.5 3.052e-16 2.537e-01 2.537e-01 1.50e-14 1.59e-63 7.45e-43 3.88e-55 1.00e+00 1.00e+00 1.00e-01 55 7.6 3.053e-17 2.537e-01 2.537e-01 1.50e-15 1.82e-63 1.88e-42 9.46e-55 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 7.625523 seconds (7.92 M allocations: 465.678 MiB, 30.35% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.2537404272210648845899422847310784344473472346087595412746716639027692450069917 Dual objective:0.2537404272210647350007906404010987918660729624732089380669016865390049446702304 duality gap:1.495891516443299796425812742721355506032077699773637643003367613085186230284573e-16 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+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 1.1 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 1.8 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 2.5 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 3.8 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 4.5 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 5.3 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 6.5 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 7.2 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 8.0 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 9.2 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 9.9 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 10.6 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 11.7 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 12.4 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 13.1 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 14.1 8.205e+13 7.894e+01 1.584e+13 1.00e+00 2.37e+01 2.37e-09 3.64e-58 8.13e-01 1.00e+00 3.00e-01 18 14.8 2.463e+13 1.886e+01 2.504e+13 1.00e+00 4.43e+00 4.43e-10 1.51e-57 8.84e-01 1.00e+00 3.00e-01 19 15.5 4.808e+12 2.447e+00 3.732e+13 1.00e+00 5.16e-01 5.16e-11 2.34e-57 8.88e-01 1.00e+00 3.00e-01 20 16.5 1.084e+12 3.495e-01 3.941e+13 1.00e+00 5.77e-02 5.77e-12 4.77e-57 8.56e-01 1.00e+00 3.00e-01 21 17.2 3.431e+11 1.295e-01 2.400e+13 1.00e+00 8.33e-03 8.33e-13 2.96e-57 8.25e-01 1.00e+00 3.00e-01 22 18.0 1.158e+11 9.545e-02 1.061e+13 1.00e+00 1.46e-03 1.46e-13 6.83e-58 8.40e-01 8.07e-01 3.00e-01 23 19.1 4.557e+10 8.306e-02 4.818e+12 1.00e+00 2.34e-04 2.34e-14 1.13e-58 7.20e-01 1.00e+00 3.00e-01 24 19.8 1.417e+10 8.217e-02 1.436e+12 1.00e+00 6.54e-05 6.54e-15 4.31e-60 8.96e-01 8.18e-01 3.00e-01 25 20.5 5.688e+09 7.650e-02 6.445e+11 1.00e+00 6.79e-06 6.79e-16 3.61e-59 9.34e-01 1.00e+00 3.00e-01 26 21.7 1.690e+09 7.658e-02 1.988e+11 1.00e+00 4.49e-07 4.49e-17 1.93e-59 1.00e+00 1.00e+00 3.00e-01 27 22.4 5.061e+08 7.648e-02 6.022e+10 1.00e+00 3.25e-74 5.42e-51 1.35e-58 1.00e+00 1.00e+00 3.00e-01 28 23.1 1.518e+08 7.648e-02 1.807e+10 1.00e+00 2.11e-74 4.92e-51 1.77e-58 1.00e+00 1.00e+00 1.00e-01 29 24.2 1.524e+07 7.648e-02 1.814e+09 1.00e+00 2.48e-74 4.85e-51 9.70e-60 1.00e+00 1.00e+00 1.00e-01 30 24.9 1.524e+06 7.649e-02 1.814e+08 1.00e+00 2.30e-74 3.58e-51 4.70e-61 1.00e+00 1.00e+00 1.00e-01 31 25.6 1.525e+05 7.649e-02 1.814e+07 1.00e+00 2.89e-74 5.60e-51 9.74e-62 1.00e+00 1.00e+00 1.00e-01 32 26.7 1.525e+04 7.649e-02 1.814e+06 1.00e+00 2.59e-74 4.60e-51 2.74e-63 1.00e+00 1.00e+00 1.00e-01 33 27.4 1.525e+03 7.649e-02 1.815e+05 1.00e+00 2.46e-74 4.93e-51 2.98e-64 1.00e+00 1.00e+00 1.00e-01 34 28.1 1.525e+02 7.649e-02 1.815e+04 1.00e+00 2.49e-74 6.03e-51 4.57e-65 1.00e+00 1.00e+00 1.00e-01 35 29.2 1.529e+01 7.653e-02 1.820e+03 1.00e+00 3.09e-74 6.51e-51 5.33e-66 9.97e-01 9.97e-01 1.00e-01 36 29.8 1.564e+00 7.692e-02 1.862e+02 9.99e-01 3.66e-74 4.67e-51 1.98e-67 9.76e-01 9.76e-01 1.00e-01 37 30.5 1.897e-01 8.062e-02 2.266e+01 9.93e-01 3.54e-74 3.17e-51 4.43e-68 8.77e-01 8.77e-01 1.00e-01 38 31.6 3.990e-02 1.073e-01 4.856e+00 9.57e-01 2.78e-74 1.75e-51 8.34e-69 9.21e-01 9.21e-01 1.00e-01 39 32.3 6.811e-03 1.612e-01 9.718e-01 7.15e-01 3.24e-74 6.67e-51 1.56e-68 8.71e-01 8.71e-01 1.00e-01 40 33.0 1.473e-03 2.059e-01 3.812e-01 1.75e-01 2.28e-74 6.85e-51 4.72e-69 8.63e-01 8.63e-01 1.00e-01 41 34.1 3.291e-04 2.437e-01 2.829e-01 3.92e-02 4.42e-74 6.89e-51 3.70e-69 8.93e-01 8.93e-01 1.00e-01 42 34.7 6.458e-05 2.517e-01 2.594e-01 7.69e-03 3.94e-74 4.96e-51 9.86e-70 8.48e-01 8.48e-01 1.00e-01 43 35.4 1.529e-05 2.532e-01 2.550e-01 1.82e-03 4.07e-74 3.11e-51 1.01e-67 8.38e-01 8.38e-01 1.00e-01 44 36.5 3.758e-06 2.536e-01 2.540e-01 4.47e-04 4.41e-74 6.40e-51 8.88e-67 8.60e-01 8.60e-01 1.00e-01 45 37.1 8.506e-07 2.537e-01 2.538e-01 1.01e-04 4.69e-74 5.60e-51 1.02e-66 9.32e-01 9.32e-01 1.00e-01 46 37.9 1.372e-07 2.537e-01 2.538e-01 1.63e-05 5.01e-74 1.10e-50 3.19e-66 9.60e-01 9.60e-01 1.00e-01 47 38.9 1.861e-08 2.537e-01 2.537e-01 2.21e-06 5.84e-74 7.73e-51 9.35e-67 9.53e-01 9.53e-01 1.00e-01 48 39.6 2.646e-09 2.537e-01 2.537e-01 3.15e-07 4.41e-74 3.93e-51 2.12e-66 9.65e-01 9.65e-01 1.00e-01 49 40.3 3.469e-10 2.537e-01 2.537e-01 4.13e-08 4.73e-74 2.43e-51 8.16e-66 9.73e-01 9.73e-01 1.00e-01 50 41.4 4.314e-11 2.537e-01 2.537e-01 5.13e-09 3.53e-74 3.73e-51 5.93e-66 9.75e-01 9.75e-01 1.00e-01 51 42.1 5.269e-12 2.537e-01 2.537e-01 6.27e-10 6.81e-74 8.00e-51 2.63e-65 9.79e-01 9.79e-01 1.00e-01 52 42.8 6.243e-13 2.537e-01 2.537e-01 7.43e-11 4.44e-74 8.09e-51 3.24e-64 9.96e-01 9.96e-01 1.00e-01 53 44.0 6.487e-14 2.537e-01 2.537e-01 7.72e-12 5.40e-74 8.99e-51 1.97e-63 1.00e+00 1.00e+00 1.00e-01 54 44.7 6.499e-15 2.537e-01 2.537e-01 7.73e-13 4.02e-74 4.27e-51 4.09e-62 1.00e+00 1.00e+00 1.00e-01 55 45.5 6.501e-16 2.537e-01 2.537e-01 7.74e-14 6.36e-74 1.07e-50 1.87e-61 1.00e+00 1.00e+00 1.00e-01 56 46.9 6.502e-17 2.537e-01 2.537e-01 7.74e-15 4.57e-74 3.89e-51 2.15e-60 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 46.939011 seconds (50.62 M allocations: 3.295 GiB, 24.91% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.25374042722106534372865963881587570697318171735401073064505091649371752872221935204864075607 Dual objective:0.253740427221064569937711917614934387515734920346112605042553705584146807671960957691943908 duality gap:7.737909477212009413194574467970078981256024972109095707210502583943566968480698806892368676e-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 0.5 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 1.2 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 1.4 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 1.7 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 1.9 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 2.2 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 2.7 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 3.4 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 3.6 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 3.9 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 4.1 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 4.4 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 4.6 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 5.0 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 5.6 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 5.9 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 6.1 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 6.4 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 6.6 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 7.2 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 7.8 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 8.1 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 8.3 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 8.6 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 8.8 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 9.0 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 9.3 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 10.0 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 10.3 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 10.5 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 10.535688 seconds (12.09 M allocations: 806.692 MiB, 31.62% gc time, 0.15% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:10.0000000000000046419724074448082497942161656245626939603359779955727984532867 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 0.1 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 0.2 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 0.2 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 0.3 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 0.3 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 0.316130 seconds (32.27 k allocations: 3.036 MiB, 78.03% 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 0.0 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.3 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 0.3 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 0.269308 seconds (36.06 k allocations: 3.219 MiB, 80.36% 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 0.0 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 Primal feasible solution found 0.094911 seconds (9.88 k allocations: 954.242 KiB, 82.62% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.50000000000500345867405399302261568787449550526203954849459464721456026219995547846899831645 Dual objective:2.1295277709013552487592741364064410720401532018884996074624766535123861005848899761325372232e11 duality gap:0.99999999999530412322547738524613581228635268800217325512686727757843983888086470536543839971 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 Dual feasible solution found 0.034010 seconds (1.60 k allocations: 157.508 KiB, 90.69% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:1.0000000005103000005809279952113622563763147132297283403058312828235587069933225809988537011e8 Dual objective:2.559999998026000000796142499722325125101535381997908331473669062569887316586455631596093719e10 duality gap:0.99221789882275169040196172955713028213673011985807166956631230342713910290053507268124616244 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 6.6 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 6.6 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 6.6 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 6.6 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.7 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.8 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 6.825592 seconds (392.19 k allocations: 23.536 MiB, 2.76% gc time, 96.51% 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.258002 seconds (32.32 k allocations: 3.038 MiB, 76.84% gc time, 3.99% 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 0.5 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 0.5 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 0.5 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.750329 seconds (481.84 k allocations: 27.441 MiB, 28.48% gc time, 63.16% 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 0.0 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.2 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 0.219296 seconds (32.31 k allocations: 3.039 MiB, 79.77% 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 0.1 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 0.1 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 0.310607 seconds (38.76 k allocations: 3.337 MiB, 70.70% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective: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 0.3 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 2.69e-142 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 1.97e-141 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 2.71e-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 4.05e-141 8.97e-01 1.00e+00 3.00e-01 9 0.4 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 8.64e-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 5.30e-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 4.80e-141 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 5.41e-141 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 6.36e-141 1.00e+00 1.00e+00 3.00e-01 14 0.5 1.007e+12 1.188e+02 1.410e+13 1.00e+00 4.77e-152 0.00e+00 1.36e-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 1.91e-152 0.00e+00 8.21e-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 3.26e-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 1.54e-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 9.32e-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 7.88e-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 6.37e-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 4.77e-153 0.00e+00 9.49e-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 9.55e-153 0.00e+00 3.60e-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 2.27e-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 4.77e-153 0.00e+00 9.80e-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 9.55e-153 0.00e+00 6.19e-151 8.70e-01 8.70e-01 1.00e-01 26 0.7 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 1.78e-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 2.67e-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 3.82e-152 0.00e+00 2.62e-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 2.09e-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 4.39e-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 1.56e-151 1.00e+00 1.00e+00 1.00e-01 32 0.8 2.035e-05 2.400e+02 2.400e+02 5.93e-07 1.91e-152 0.00e+00 6.69e-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 4.61e-151 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 1.26e-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 1.15e-150 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 9.23e-152 1.00e+00 1.00e+00 1.00e-01 37 0.9 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 8.83e-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 1.91e-152 0.00e+00 1.10e-151 1.00e+00 1.00e+00 1.00e-01 39 0.9 2.036e-12 2.400e+02 2.400e+02 5.94e-14 9.55e-153 0.00e+00 1.62e-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 9.55e-153 0.00e+00 1.18e-150 1.00e+00 1.00e+00 1.00e-01 41 1.0 2.037e-14 2.400e+02 2.400e+02 5.94e-16 3.82e-152 0.00e+00 5.31e-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 1.91e-152 0.00e+00 1.16e-149 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 1.74e-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 3.82e-152 0.00e+00 2.72e-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 2.18e-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 7.77e-149 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 2.37e-148 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 5.65e-149 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 1.32e-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 2.39e-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 1.91e-152 0.00e+00 3.92e-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 1.91e-152 0.00e+00 8.33e-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 6.03e-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 9.55e-153 0.00e+00 9.36e-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 1.91e-152 0.00e+00 1.24e-147 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 2.72e-146 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 7.41e-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 1.10e-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 9.55e-153 0.00e+00 3.52e-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 9.55e-153 0.00e+00 1.74e-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 5.02e-145 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 1.36e-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 1.51e-143 1.00e+00 1.00e+00 1.00e-01 64 1.4 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 5.47e-145 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 1.11e-142 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.405602 seconds (869.92 k allocations: 54.761 MiB, 64.66% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291378661881676104134309134295088720699411902680907683470304078442142458563632400398362570676584609297993826774899 Dual objective:239.999999999999999999999999999999999999985708621338118323895865690865704911279335825309115103121321099562605925692952840769722627838484131786229449361546533 duality gap:5.95474110911736504338929547262295363361741387365954261711441760746587849283558115258145796007993102376004360929319228784344351488630518257643602058794820666e-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 (33.899366196s) ** ** Transforming the problem and the solution ** (6.324569222999999s) ** Projection the solution into the affine space ** Reducing the system from 7 columns to 7 columns Constructing the linear system... (8.994495218s) Preprocessing to get an integer system... (8.8729e-5s) Finding the pivots of A using RREF mod p... (0.000230528 0.000109629 s) Solving the system of size 7 x 7 using the pseudoinverse... 0.921278156s ** Finished projection into affine space (12.829970413s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.187127349) [ 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 0.6 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 0.8 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 1.2 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 2.1 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 2.3 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 2.6 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 2.8 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 3.0 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 3.3 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 3.6 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 3.8 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 4.1 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 4.4 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 5.2 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 5.4 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 5.7 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 5.9 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 6.2 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 6.5 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 6.8 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 7.0 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 7.3 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 7.6 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 8.5 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 8.7 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 9.0 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 9.2 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 9.5 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 9.7 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 10.0 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 10.2 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 10.5 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 10.7 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 11.1 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 11.9 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 12.2 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 12.4 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 12.6 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 12.9 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 13.1 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 13.4 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 13.6 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 13.9 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 14.1 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 15.0 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 15.2 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 15.5 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 15.507902 seconds (17.72 M allocations: 1.153 GiB, 30.99% gc time, 0.45% 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 6 and 7 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 36 and 49 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 148 and 1539 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 25 and 108 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 493 and 2412 After reduction, the maximum number of the basis transformation matrix is 2227 Block (:trivariatesos, 1, 3) of size 11 x 11 Block (:trivariatesos, 1, 3) has 2 kernel vectors. The maximum numerator and denominator are 493 and 4824 After reduction, the maximum number of the basis transformation matrix is 4639 Block (:trivariatesos, 1, 1) of size 11 x 11 Block (:trivariatesos, 1, 1) has 3 kernel vectors. The maximum numerator and denominator are 421 and 7056 After reduction, the maximum number of the basis transformation matrix is 5208 ** Finished computation of basis transformations (9.382838621s) ** ** Transforming the problem and the solution ** (1.886774538s) ** Projection the solution into the affine space ** Reducing the system from 161 columns to 161 columns Constructing the linear system... (3.237114729s) Preprocessing to get an integer system... (0.026533276s) Finding the pivots of A using RREF mod p... (0.021001309 0.018513283 s) Solving the system of size 50 x 52 using the pseudoinverse... 0.322401455s ** Finished projection into affine space (4.830143978s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.303368177) 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 0.3 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 0.4 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 0.4 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 1.93e-142 7.69e-01 1.00e+00 3.00e-01 6 0.6 3.035e+18 5.560e+09 1.290e+12 9.91e-01 5.47e+07 0.00e+00 1.26e-141 8.01e-01 1.00e+00 3.00e-01 7 0.6 9.665e+17 1.150e+09 2.064e+12 9.99e-01 1.09e+07 0.00e+00 2.87e-141 8.65e-01 1.00e+00 3.00e-01 8 0.7 2.092e+17 1.573e+08 3.302e+12 1.00e+00 1.47e+06 0.00e+00 1.53e-140 8.98e-01 1.00e+00 3.00e-01 9 0.7 3.428e+16 1.603e+07 5.284e+12 1.00e+00 1.51e+05 0.00e+00 2.90e-140 8.88e-01 1.00e+00 3.00e-01 10 0.8 6.127e+15 1.797e+06 8.453e+12 1.00e+00 1.68e+04 0.00e+00 4.85e-140 8.99e-01 1.00e+00 3.00e-01 11 0.9 9.935e+14 1.816e+05 1.352e+13 1.00e+00 1.71e+03 0.00e+00 6.84e-140 8.93e-01 1.00e+00 3.00e-01 12 0.9 1.699e+14 1.946e+04 2.163e+13 1.00e+00 1.82e+02 0.00e+00 1.26e-140 9.00e-01 1.00e+00 3.00e-01 13 1.0 2.794e+13 2.009e+03 3.442e+13 1.00e+00 1.82e+01 0.00e+00 1.49e-139 8.98e-01 1.00e+00 3.00e-01 14 1.1 5.597e+12 2.662e+02 5.231e+13 1.00e+00 1.86e+00 0.00e+00 2.26e-139 8.79e-01 1.00e+00 3.00e-01 15 1.1 2.030e+12 9.171e+01 5.562e+13 1.00e+00 2.25e-01 0.00e+00 2.49e-139 7.97e-01 1.00e+00 3.00e-01 16 1.8 7.056e+11 7.350e+01 2.417e+13 1.00e+00 4.58e-02 0.00e+00 1.75e-139 8.24e-01 1.00e+00 3.00e-01 17 1.9 2.136e+11 7.073e+01 7.703e+12 1.00e+00 8.06e-03 0.00e+00 4.57e-140 1.00e+00 1.00e+00 3.00e-01 18 2.0 6.305e+10 6.979e+01 2.396e+12 1.00e+00 4.77e-153 0.00e+00 2.77e-139 1.00e+00 1.00e+00 3.00e-01 19 2.0 1.891e+10 6.985e+01 7.188e+11 1.00e+00 4.77e-153 0.00e+00 3.88e-139 9.94e-01 9.94e-01 1.00e-01 20 2.1 1.996e+09 6.986e+01 7.583e+10 1.00e+00 4.77e-153 0.00e+00 1.72e-140 1.00e+00 1.00e+00 1.00e-01 21 2.1 2.003e+08 6.986e+01 7.613e+09 1.00e+00 9.55e-153 0.00e+00 1.71e-141 1.00e+00 1.00e+00 1.00e-01 22 2.2 2.005e+07 6.987e+01 7.619e+08 1.00e+00 4.77e-153 0.00e+00 7.64e-143 1.00e+00 1.00e+00 1.00e-01 23 2.3 2.005e+06 6.987e+01 7.619e+07 1.00e+00 4.77e-153 0.00e+00 1.65e-143 1.00e+00 1.00e+00 1.00e-01 24 2.3 2.005e+05 6.988e+01 7.620e+06 1.00e+00 9.55e-153 0.00e+00 1.44e-144 1.00e+00 1.00e+00 1.00e-01 25 2.4 2.006e+04 6.988e+01 7.622e+05 1.00e+00 4.77e-153 0.00e+00 2.36e-145 1.00e+00 1.00e+00 1.00e-01 26 2.4 2.008e+03 6.989e+01 7.636e+04 9.98e-01 4.77e-153 0.00e+00 2.00e-146 9.99e-01 9.99e-01 1.00e-01 27 2.5 2.026e+02 6.998e+01 7.769e+03 9.82e-01 4.77e-153 0.00e+00 1.76e-147 9.90e-01 9.90e-01 1.00e-01 28 2.6 2.205e+01 7.086e+01 9.088e+02 8.55e-01 4.77e-153 0.00e+00 3.92e-148 9.26e-01 9.26e-01 1.00e-01 29 2.6 3.667e+00 7.788e+01 2.172e+02 4.72e-01 9.55e-153 0.00e+00 1.48e-147 8.10e-01 8.10e-01 1.00e-01 30 2.7 9.926e-01 1.015e+02 1.392e+02 1.57e-01 4.77e-153 0.00e+00 5.15e-148 6.72e-01 6.72e-01 1.00e-01 31 2.8 3.920e-01 1.120e+02 1.269e+02 6.23e-02 9.55e-153 0.00e+00 1.32e-148 8.04e-01 8.04e-01 1.00e-01 32 2.8 1.082e-01 1.179e+02 1.220e+02 1.71e-02 9.55e-153 0.00e+00 4.51e-149 8.72e-01 8.72e-01 1.00e-01 33 2.9 2.331e-02 1.195e+02 1.204e+02 3.69e-03 1.91e-152 0.00e+00 2.40e-148 9.67e-01 9.67e-01 1.00e-01 34 3.0 3.027e-03 1.199e+02 1.201e+02 4.79e-04 1.91e-152 0.00e+00 5.55e-149 9.83e-01 9.83e-01 1.00e-01 35 3.0 3.478e-04 1.200e+02 1.200e+02 5.51e-05 9.55e-153 0.00e+00 1.02e-148 9.94e-01 9.94e-01 1.00e-01 36 3.1 3.681e-05 1.200e+02 1.200e+02 5.83e-06 9.55e-153 0.00e+00 1.73e-148 9.99e-01 9.99e-01 1.00e-01 37 3.1 3.725e-06 1.200e+02 1.200e+02 5.90e-07 1.91e-152 0.00e+00 3.47e-148 1.00e+00 1.00e+00 1.00e-01 38 3.2 3.731e-07 1.200e+02 1.200e+02 5.91e-08 3.82e-152 0.00e+00 3.14e-148 1.00e+00 1.00e+00 1.00e-01 39 3.3 3.732e-08 1.200e+02 1.200e+02 5.91e-09 3.82e-152 0.00e+00 3.44e-148 1.00e+00 1.00e+00 1.00e-01 40 3.3 3.733e-09 1.200e+02 1.200e+02 5.91e-10 2.86e-152 0.00e+00 1.73e-148 1.00e+00 1.00e+00 1.00e-01 41 3.4 3.733e-10 1.200e+02 1.200e+02 5.91e-11 9.55e-153 0.00e+00 1.46e-148 1.00e+00 1.00e+00 1.00e-01 42 3.5 3.733e-11 1.200e+02 1.200e+02 5.91e-12 9.55e-153 0.00e+00 4.04e-148 1.00e+00 1.00e+00 1.00e-01 43 3.5 3.734e-12 1.200e+02 1.200e+02 5.91e-13 9.55e-153 0.00e+00 1.22e-148 1.00e+00 1.00e+00 1.00e-01 44 3.6 3.734e-13 1.200e+02 1.200e+02 5.91e-14 1.91e-152 0.00e+00 3.90e-148 1.00e+00 1.00e+00 1.00e-01 45 3.7 3.734e-14 1.200e+02 1.200e+02 5.91e-15 9.55e-153 0.00e+00 2.60e-148 1.00e+00 1.00e+00 1.00e-01 46 3.7 3.735e-15 1.200e+02 1.200e+02 5.91e-16 9.55e-153 0.00e+00 1.99e-147 1.00e+00 1.00e+00 1.00e-01 47 3.8 3.735e-16 1.200e+02 1.200e+02 5.91e-17 9.55e-153 0.00e+00 1.54e-147 1.00e+00 1.00e+00 1.00e-01 48 3.9 3.736e-17 1.200e+02 1.200e+02 5.91e-18 1.91e-152 0.00e+00 2.66e-147 1.00e+00 1.00e+00 1.00e-01 49 3.9 3.736e-18 1.200e+02 1.200e+02 5.92e-19 1.91e-152 0.00e+00 6.06e-147 1.00e+00 1.00e+00 1.00e-01 50 4.0 3.736e-19 1.200e+02 1.200e+02 5.92e-20 9.55e-153 0.00e+00 7.46e-146 1.00e+00 1.00e+00 1.00e-01 51 4.1 3.737e-20 1.200e+02 1.200e+02 5.92e-21 1.91e-152 0.00e+00 1.82e-146 1.00e+00 1.00e+00 1.00e-01 52 4.1 3.737e-21 1.200e+02 1.200e+02 5.92e-22 9.55e-153 0.00e+00 1.12e-145 1.00e+00 1.00e+00 1.00e-01 53 4.2 3.737e-22 1.200e+02 1.200e+02 5.92e-23 9.55e-153 0.00e+00 7.29e-146 1.00e+00 1.00e+00 1.00e-01 54 4.3 3.738e-23 1.200e+02 1.200e+02 5.92e-24 9.55e-153 0.00e+00 5.60e-145 1.00e+00 1.00e+00 1.00e-01 55 4.3 3.738e-24 1.200e+02 1.200e+02 5.92e-25 9.55e-153 0.00e+00 3.39e-145 1.00e+00 1.00e+00 1.00e-01 56 4.4 3.739e-25 1.200e+02 1.200e+02 5.92e-26 9.55e-153 0.00e+00 4.81e-144 1.00e+00 1.00e+00 1.00e-01 57 4.4 3.739e-26 1.200e+02 1.200e+02 5.92e-27 1.91e-152 0.00e+00 4.61e-144 1.00e+00 1.00e+00 1.00e-01 58 4.6 3.739e-27 1.200e+02 1.200e+02 5.92e-28 9.55e-153 0.00e+00 1.70e-143 1.00e+00 1.00e+00 1.00e-01 59 5.2 3.740e-28 1.200e+02 1.200e+02 5.92e-29 9.55e-153 0.00e+00 3.40e-143 1.00e+00 1.00e+00 1.00e-01 60 5.3 3.740e-29 1.200e+02 1.200e+02 5.92e-30 1.91e-152 0.00e+00 2.30e-143 1.00e+00 1.00e+00 1.00e-01 61 5.3 3.740e-30 1.200e+02 1.200e+02 5.92e-31 4.77e-153 0.00e+00 9.11e-143 1.00e+00 1.00e+00 1.00e-01 62 5.4 3.741e-31 1.200e+02 1.200e+02 5.92e-32 9.55e-153 0.00e+00 1.34e-142 1.00e+00 1.00e+00 1.00e-01 63 5.4 3.741e-32 1.200e+02 1.200e+02 5.92e-33 9.55e-153 0.00e+00 6.28e-143 1.00e+00 1.00e+00 1.00e-01 64 5.5 3.742e-33 1.200e+02 1.200e+02 5.92e-34 9.55e-153 0.00e+00 5.74e-142 1.00e+00 1.00e+00 1.00e-01 65 5.6 3.742e-34 1.200e+02 1.200e+02 5.92e-35 9.55e-153 0.00e+00 7.72e-142 1.00e+00 1.00e+00 1.00e-01 66 5.6 3.742e-35 1.200e+02 1.200e+02 5.93e-36 9.55e-153 0.00e+00 7.06e-142 1.00e+00 1.00e+00 1.00e-01 67 5.7 3.743e-36 1.200e+02 1.200e+02 5.93e-37 9.55e-153 0.00e+00 5.40e-141 1.00e+00 1.00e+00 1.00e-01 68 5.8 3.743e-37 1.200e+02 1.200e+02 5.93e-38 9.55e-153 0.00e+00 7.04e-141 1.00e+00 1.00e+00 1.00e-01 69 5.8 3.743e-38 1.200e+02 1.200e+02 5.93e-39 1.91e-152 0.00e+00 2.59e-140 1.00e+00 1.00e+00 1.00e-01 70 5.9 3.744e-39 1.200e+02 1.200e+02 5.93e-40 9.55e-153 0.00e+00 9.92e-140 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.889690 seconds (6.70 M allocations: 475.875 MiB, 40.66% gc time, 0.84% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:120.000000000000000000000000000000000000005990737305403598124810059614176926589893025481903789834852498034447088117370315966428382741742080720958142971043553 Dual objective:119.999999999999999999999999999999999999991762736205070052578386168030506725938976111585105752195153457433545892733299693704243640712136651825063649491483617 duality gap:5.92833379180564397767662149319591693788210294932794087306067562036279769838639045971087024222073797061550054489635421047773372431825179762101549496829994289e-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 23 and 22 After reduction, the maximum number of the basis transformation matrix is 56 Block A of size 10 x 10 Block A has 8 kernel vectors. The maximum numerator and denominator are 11 and 14 After reduction, the maximum number of the basis transformation matrix is 9 ** Finished computation of basis transformations (16.158289319s) ** ** Transforming the problem and the solution ** (2.724889858s) ** Projection the solution into the affine space ** Reducing the system from 26 columns to 26 columns Constructing the linear system... (2.148243086s) Computing an approximate solution in the extension field... (0.540675647s) Preprocessing to get an integer system... (0.005525837s) Finding the pivots of A using RREF mod p... (0.003854453 0.003633566 s) Solving the system of size 38 x 40 using the pseudoinverse... 0.024054199s ** Finished projection into affine space (4.928099068s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.372311418) 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 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 0.1 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 0.1 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 0.1 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 0.2 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 2.55e-142 8.40e-01 1.00e+00 3.00e-01 6 0.2 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 2.45e-142 8.95e-01 1.00e+00 3.00e-01 7 0.2 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 2.49e-141 8.90e-01 1.00e+00 3.00e-01 8 0.2 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 2.43e-141 8.97e-01 1.00e+00 3.00e-01 9 0.2 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 7.45e-141 8.94e-01 1.00e+00 3.00e-01 10 0.3 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 9.07e-141 8.99e-01 1.00e+00 3.00e-01 11 0.3 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 2.25e-140 8.99e-01 1.00e+00 3.00e-01 12 0.3 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 4.71e-141 9.13e-01 1.00e+00 3.00e-01 13 0.3 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 1.04e-140 1.00e+00 1.00e+00 3.00e-01 14 0.3 1.007e+12 1.188e+02 1.410e+13 1.00e+00 1.91e-152 0.00e+00 6.00e-140 1.00e+00 1.00e+00 3.00e-01 15 0.3 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 1.04e-141 9.99e-01 9.99e-01 1.00e-01 16 0.4 3.062e+10 1.199e+02 4.287e+11 1.00e+00 4.77e-153 0.00e+00 3.06e-142 1.00e+00 1.00e+00 1.00e-01 17 0.4 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 3.32e-143 1.00e+00 1.00e+00 1.00e-01 18 0.4 3.063e+08 1.201e+02 4.288e+09 1.00e+00 9.55e-153 0.00e+00 5.28e-144 1.00e+00 1.00e+00 1.00e-01 19 0.4 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 7.76e-145 1.00e+00 1.00e+00 1.00e-01 20 0.4 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 1.89e-146 1.00e+00 1.00e+00 1.00e-01 21 0.5 3.064e+05 1.203e+02 4.290e+06 1.00e+00 4.77e-153 0.00e+00 7.06e-148 1.00e+00 1.00e+00 1.00e-01 22 0.5 3.065e+04 1.203e+02 4.292e+05 9.99e-01 9.55e-153 0.00e+00 2.52e-148 1.00e+00 1.00e+00 1.00e-01 23 0.5 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 2.38e-149 9.97e-01 9.97e-01 1.00e-01 24 0.5 3.167e+02 1.211e+02 4.554e+03 9.48e-01 1.91e-152 0.00e+00 4.88e-150 9.70e-01 9.70e-01 1.00e-01 25 0.5 4.021e+01 1.274e+02 6.904e+02 6.88e-01 9.55e-153 0.00e+00 1.66e-150 8.70e-01 8.70e-01 1.00e-01 26 0.5 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 1.71e-150 9.15e-01 9.15e-01 1.00e-01 27 0.6 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 1.35e-150 9.82e-01 9.82e-01 1.00e-01 28 0.6 1.800e-01 2.389e+02 2.414e+02 5.25e-03 3.82e-152 0.00e+00 6.95e-151 9.89e-01 9.89e-01 1.00e-01 29 0.6 1.986e-02 2.399e+02 2.401e+02 5.79e-04 1.91e-152 0.00e+00 1.75e-151 9.97e-01 9.97e-01 1.00e-01 30 0.6 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 1.23e-151 1.00e+00 1.00e+00 1.00e-01 31 0.6 2.034e-04 2.400e+02 2.400e+02 5.93e-06 1.91e-152 0.00e+00 1.21e-150 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 1.51e-150 1.00e+00 1.00e+00 1.00e-01 33 0.7 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 1.50e-150 1.00e+00 1.00e+00 1.00e-01 34 0.7 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 5.23e-151 1.00e+00 1.00e+00 1.00e-01 35 0.7 2.035e-08 2.400e+02 2.400e+02 5.94e-10 3.82e-152 0.00e+00 2.55e-151 1.00e+00 1.00e+00 1.00e-01 36 0.7 2.036e-09 2.400e+02 2.400e+02 5.94e-11 3.82e-152 0.00e+00 1.08e-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 1.06e-150 1.00e+00 1.00e+00 1.00e-01 38 0.8 2.036e-11 2.400e+02 2.400e+02 5.94e-13 1.91e-152 0.00e+00 1.19e-151 1.00e+00 1.00e+00 1.00e-01 39 0.8 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 1.27e-150 1.00e+00 1.00e+00 1.00e-01 40 0.8 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 1.16e-150 1.00e+00 1.00e+00 1.00e-01 41 0.8 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 3.97e-150 1.00e+00 1.00e+00 1.00e-01 42 0.8 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 5.15e-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 4.18e-150 1.00e+00 1.00e+00 1.00e-01 44 0.9 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 8.49e-150 1.00e+00 1.00e+00 1.00e-01 45 0.9 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 1.35e-149 1.00e+00 1.00e+00 1.00e-01 46 0.9 2.038e-19 2.400e+02 2.400e+02 5.94e-21 9.55e-153 0.00e+00 1.31e-148 1.00e+00 1.00e+00 1.00e-01 47 0.9 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 3.49e-148 1.00e+00 1.00e+00 1.00e-01 48 0.9 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 6.94e-149 1.00e+00 1.00e+00 1.00e-01 49 1.0 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 6.44e-148 1.00e+00 1.00e+00 1.00e-01 50 1.0 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 1.49e-147 1.00e+00 1.00e+00 1.00e-01 51 1.0 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 8.39e-147 1.00e+00 1.00e+00 1.00e-01 52 1.0 2.039e-25 2.400e+02 2.400e+02 5.95e-27 1.91e-152 0.00e+00 2.86e-147 1.00e+00 1.00e+00 1.00e-01 53 1.0 2.039e-26 2.400e+02 2.400e+02 5.95e-28 3.82e-152 0.00e+00 3.24e-146 1.00e+00 1.00e+00 1.00e-01 54 1.1 2.039e-27 2.400e+02 2.400e+02 5.95e-29 1.91e-152 0.00e+00 2.37e-146 1.00e+00 1.00e+00 1.00e-01 55 1.1 2.039e-28 2.400e+02 2.400e+02 5.95e-30 9.55e-153 0.00e+00 6.18e-146 1.00e+00 1.00e+00 1.00e-01 56 1.1 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 1.36e-145 1.00e+00 1.00e+00 1.00e-01 57 1.1 2.040e-30 2.400e+02 2.400e+02 5.95e-32 1.91e-152 0.00e+00 2.00e-145 1.00e+00 1.00e+00 1.00e-01 58 1.1 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 7.20e-146 1.00e+00 1.00e+00 1.00e-01 59 1.1 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 6.62e-145 1.00e+00 1.00e+00 1.00e-01 60 1.2 2.040e-33 2.400e+02 2.400e+02 5.95e-35 3.82e-152 0.00e+00 1.19e-144 1.00e+00 1.00e+00 1.00e-01 61 1.2 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 2.62e-145 1.00e+00 1.00e+00 1.00e-01 62 1.2 2.041e-35 2.400e+02 2.400e+02 5.95e-37 3.82e-152 0.00e+00 1.22e-143 1.00e+00 1.00e+00 1.00e-01 63 1.2 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 2.65e-143 1.00e+00 1.00e+00 1.00e-01 64 1.2 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 2.73e-143 1.00e+00 1.00e+00 1.00e-01 65 1.2 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 3.13e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.246583 seconds (869.83 k allocations: 54.636 MiB, 62.53% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.00000000000000000000000000000000000001429137634891196897122466693873464515293929213623389930047113656773653759342073466021607019563570587212258929389781 Dual objective:239.999999999999999999999999999999999999985708623651088031028775333061265354847095945064156154869669485927251561548332457961702406379535744130870690246981631 duality gap:5.95474014537998707134361122447276881371736397334953008975034388343437000939339054171457210032310403028225936022233546007220975358495929377997542449494511903e-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 1.18e-142 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 4.32e-143 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 5.00e-143 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 1.38e-142 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 4.52e-142 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 7.18e-142 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 9.33e-142 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 3.79e-142 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 2.91e-141 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 1.66e-141 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 5.21e-141 1.00e+00 1.00e+00 3.00e-01 14 0.2 2.525e+11 6.501e+00 2.525e+12 1.00e+00 1.19e-153 0.00e+00 3.18e-142 1.00e+00 1.00e+00 3.00e-01 15 0.2 7.575e+10 6.597e+00 7.575e+11 1.00e+00 1.49e-154 0.00e+00 8.48e-142 1.00e+00 1.00e+00 1.00e-01 16 0.3 7.582e+09 6.607e+00 7.582e+10 1.00e+00 5.97e-154 0.00e+00 6.25e-143 1.00e+00 1.00e+00 1.00e-01 17 0.3 7.583e+08 6.615e+00 7.583e+09 1.00e+00 1.49e-154 0.00e+00 1.76e-143 1.00e+00 1.00e+00 1.00e-01 18 0.3 7.583e+07 6.623e+00 7.583e+08 1.00e+00 5.97e-154 0.00e+00 3.64e-145 1.00e+00 1.00e+00 1.00e-01 19 0.3 7.584e+06 6.629e+00 7.584e+07 1.00e+00 5.97e-154 0.00e+00 6.01e-146 1.00e+00 1.00e+00 1.00e-01 20 0.3 7.585e+05 6.635e+00 7.585e+06 1.00e+00 5.97e-154 0.00e+00 4.75e-147 1.00e+00 1.00e+00 1.00e-01 21 0.3 7.586e+04 6.641e+00 7.586e+05 1.00e+00 5.97e-154 0.00e+00 3.08e-148 1.00e+00 1.00e+00 1.00e-01 22 0.3 7.587e+03 6.646e+00 7.588e+04 1.00e+00 5.97e-154 0.00e+00 5.85e-149 1.00e+00 1.00e+00 1.00e-01 23 0.4 7.595e+02 6.651e+00 7.602e+03 9.98e-01 1.49e-154 0.00e+00 2.20e-149 9.99e-01 9.99e-01 1.00e-01 24 0.4 7.667e+01 6.662e+00 7.734e+02 9.83e-01 5.97e-154 0.00e+00 6.16e-151 9.90e-01 9.90e-01 1.00e-01 25 0.4 8.371e+00 6.736e+00 9.045e+01 8.61e-01 5.97e-154 0.00e+00 2.90e-151 9.21e-01 9.21e-01 1.00e-01 26 0.4 1.433e+00 7.334e+00 2.167e+01 4.94e-01 5.97e-154 0.00e+00 3.24e-152 8.84e-01 8.84e-01 1.00e-01 27 0.4 2.925e-01 1.016e+01 1.309e+01 1.26e-01 1.49e-154 0.00e+00 8.95e-153 9.45e-01 9.45e-01 1.00e-01 28 0.4 4.385e-02 1.181e+01 1.225e+01 1.82e-02 1.19e-153 0.00e+00 4.03e-153 9.76e-01 9.76e-01 1.00e-01 29 0.4 5.337e-03 1.197e+01 1.203e+01 2.22e-03 1.19e-153 0.00e+00 5.67e-153 9.89e-01 9.89e-01 1.00e-01 30 0.5 5.875e-04 1.200e+01 1.200e+01 2.45e-04 1.19e-153 0.00e+00 2.83e-153 9.98e-01 9.98e-01 1.00e-01 31 0.5 5.979e-05 1.200e+01 1.200e+01 2.49e-05 5.97e-154 0.00e+00 4.03e-153 1.00e+00 1.00e+00 1.00e-01 32 0.5 5.986e-06 1.200e+01 1.200e+01 2.49e-06 1.19e-153 0.00e+00 2.83e-153 1.00e+00 1.00e+00 1.00e-01 33 0.5 5.987e-07 1.200e+01 1.200e+01 2.49e-07 1.19e-153 0.00e+00 9.25e-153 1.00e+00 1.00e+00 1.00e-01 34 0.5 5.988e-08 1.200e+01 1.200e+01 2.49e-08 2.98e-154 0.00e+00 4.18e-153 1.00e+00 1.00e+00 1.00e-01 35 0.5 5.988e-09 1.200e+01 1.200e+01 2.50e-09 5.97e-154 0.00e+00 3.73e-153 1.00e+00 1.00e+00 1.00e-01 36 0.5 5.989e-10 1.200e+01 1.200e+01 2.50e-10 1.19e-153 0.00e+00 2.46e-153 1.00e+00 1.00e+00 1.00e-01 37 0.6 5.989e-11 1.200e+01 1.200e+01 2.50e-11 1.19e-153 0.00e+00 3.12e-152 1.00e+00 1.00e+00 1.00e-01 38 0.6 5.990e-12 1.200e+01 1.200e+01 2.50e-12 1.19e-153 0.00e+00 6.48e-152 1.00e+00 1.00e+00 1.00e-01 39 0.6 5.991e-13 1.200e+01 1.200e+01 2.50e-13 5.97e-154 0.00e+00 7.31e-153 1.00e+00 1.00e+00 1.00e-01 40 0.6 5.991e-14 1.200e+01 1.200e+01 2.50e-14 5.97e-154 0.00e+00 6.19e-153 1.00e+00 1.00e+00 1.00e-01 41 0.6 5.992e-15 1.200e+01 1.200e+01 2.50e-15 5.97e-154 0.00e+00 2.51e-151 1.00e+00 1.00e+00 1.00e-01 42 0.6 5.992e-16 1.200e+01 1.200e+01 2.50e-16 1.19e-153 0.00e+00 2.09e-152 1.00e+00 1.00e+00 1.00e-01 43 0.6 5.993e-17 1.200e+01 1.200e+01 2.50e-17 1.19e-153 0.00e+00 3.36e-151 1.00e+00 1.00e+00 1.00e-01 44 0.6 5.994e-18 1.200e+01 1.200e+01 2.50e-18 1.19e-153 0.00e+00 1.31e-150 1.00e+00 1.00e+00 1.00e-01 45 0.7 5.994e-19 1.200e+01 1.200e+01 2.50e-19 5.97e-154 0.00e+00 4.97e-150 1.00e+00 1.00e+00 1.00e-01 46 0.7 5.995e-20 1.200e+01 1.200e+01 2.50e-20 1.19e-153 0.00e+00 1.63e-149 1.00e+00 1.00e+00 1.00e-01 47 0.7 5.995e-21 1.200e+01 1.200e+01 2.50e-21 2.98e-154 0.00e+00 1.78e-149 1.00e+00 1.00e+00 1.00e-01 48 0.7 5.996e-22 1.200e+01 1.200e+01 2.50e-22 1.19e-153 0.00e+00 4.14e-149 1.00e+00 1.00e+00 1.00e-01 49 0.7 5.997e-23 1.200e+01 1.200e+01 2.50e-23 1.19e-153 0.00e+00 1.16e-148 1.00e+00 1.00e+00 1.00e-01 50 0.7 5.997e-24 1.200e+01 1.200e+01 2.50e-24 1.19e-153 0.00e+00 2.32e-148 1.00e+00 1.00e+00 1.00e-01 51 0.7 5.998e-25 1.200e+01 1.200e+01 2.50e-25 5.97e-154 0.00e+00 1.09e-147 1.00e+00 1.00e+00 1.00e-01 52 0.7 5.998e-26 1.200e+01 1.200e+01 2.50e-26 1.19e-153 0.00e+00 8.73e-148 1.00e+00 1.00e+00 1.00e-01 53 0.8 5.999e-27 1.200e+01 1.200e+01 2.50e-27 1.19e-153 0.00e+00 1.03e-147 1.00e+00 1.00e+00 1.00e-01 54 0.8 6.000e-28 1.200e+01 1.200e+01 2.50e-28 1.19e-153 0.00e+00 3.99e-147 1.00e+00 1.00e+00 1.00e-01 55 0.8 6.000e-29 1.200e+01 1.200e+01 2.50e-29 5.97e-154 0.00e+00 3.59e-147 1.00e+00 1.00e+00 1.00e-01 56 0.8 6.001e-30 1.200e+01 1.200e+01 2.50e-30 5.97e-154 0.00e+00 1.10e-146 1.00e+00 1.00e+00 1.00e-01 57 0.8 6.001e-31 1.200e+01 1.200e+01 2.50e-31 1.19e-153 0.00e+00 2.36e-146 1.00e+00 1.00e+00 1.00e-01 58 0.8 6.002e-32 1.200e+01 1.200e+01 2.50e-32 1.19e-153 0.00e+00 1.04e-146 1.00e+00 1.00e+00 1.00e-01 59 0.8 6.003e-33 1.200e+01 1.200e+01 2.50e-33 1.19e-153 0.00e+00 1.29e-146 1.00e+00 1.00e+00 1.00e-01 60 0.9 6.003e-34 1.200e+01 1.200e+01 2.50e-34 2.98e-154 0.00e+00 6.88e-146 1.00e+00 1.00e+00 1.00e-01 61 0.9 6.004e-35 1.200e+01 1.200e+01 2.50e-35 1.19e-153 0.00e+00 1.36e-145 1.00e+00 1.00e+00 1.00e-01 62 0.9 6.004e-36 1.200e+01 1.200e+01 2.50e-36 1.19e-153 0.00e+00 6.32e-145 1.00e+00 1.00e+00 1.00e-01 63 0.9 6.005e-37 1.200e+01 1.200e+01 2.50e-37 1.19e-153 0.00e+00 2.68e-145 1.00e+00 1.00e+00 1.00e-01 64 0.9 6.006e-38 1.200e+01 1.200e+01 2.50e-38 1.19e-153 0.00e+00 2.56e-144 1.00e+00 1.00e+00 1.00e-01 65 0.9 6.006e-39 1.200e+01 1.200e+01 2.50e-39 1.19e-153 0.00e+00 2.01e-144 1.00e+00 1.00e+00 1.00e-01 66 0.9 6.007e-40 1.200e+01 1.200e+01 2.50e-40 5.97e-154 0.00e+00 1.50e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.941497 seconds (482.19 k allocations: 30.556 MiB, 68.88% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:12.0000000000000000000000000000000000000003003731715952610308325506633447132115522415839759417753735478739857360848392044433878726702034946802043317015513339 Dual objective:11.9999999999999999999999999999999999999996996268284047389691674493366552867884480964444025807025083622546824304707056964084603562674826130314626568384758426 duality gap:2.50310976329384192360458886120594342960060474822233780360494008043044005888961677694289607175363978064076401925087597077397409845013041974020658062644732132e-41 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 0.2 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 0.2 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 0.2 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 0.3 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 0.3 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.49e-154 1.00e+00 1.00e+00 3.00e-01 13 0.3 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.49e-154 1.00e+00 1.00e+00 1.00e-01 14 0.3 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 0.3 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 2.98e-154 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 7.46e-155 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 2.98e-154 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 2.24e-154 1.00e+00 1.00e+00 1.00e-01 20 0.4 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.48e-154 1.00e+00 1.00e+00 1.00e-01 21 0.4 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.49e-154 1.00e+00 1.00e+00 1.00e-01 22 0.4 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 0.00e+00 9.98e-01 9.98e-01 1.00e-01 23 0.4 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 7.46e-155 9.78e-01 9.78e-01 1.00e-01 24 0.4 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 2.98e-154 8.86e-01 8.86e-01 1.00e-01 25 0.4 2.642e-01 1.213e+00 6.845e-01 2.78e-01 1.49e-154 0.00e+00 2.24e-154 9.25e-01 9.25e-01 1.00e-01 26 0.4 4.423e-02 1.057e+00 9.685e-01 4.37e-02 0.00e+00 0.00e+00 7.46e-155 9.82e-01 9.82e-01 1.00e-01 27 0.4 5.135e-03 1.006e+00 9.954e-01 5.13e-03 7.46e-155 0.00e+00 2.24e-154 9.90e-01 9.90e-01 1.00e-01 28 0.4 5.586e-04 1.001e+00 9.995e-01 5.59e-04 7.46e-155 0.00e+00 1.49e-154 9.98e-01 9.98e-01 1.00e-01 29 0.4 5.683e-05 1.000e+00 9.999e-01 5.68e-05 7.46e-155 0.00e+00 1.49e-154 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.440739 seconds (24.01 k allocations: 2.379 MiB, 73.35% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.999994309593320747622412641034936909581910780160599700691185787970165913269594828868407321707038804508551753685330829507073125318870896377757515521828613366 Dual objective:1.00000569172327836641686187959576309422965410622972382634340662001598199186027967047595809253588084806139970568411096216676954953561541877632045001996129814 duality gap:5.69106497506297167256535318955212037159349615595568129744945396613221487172783366447424506832970554884692210376339618202884976117056555831623253887475821614e-6 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.1 5.691e-06 1.000e+00 1.000e+00 5.69e-06 1.49e-154 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 2 0.1 5.692e-07 1.000e+00 1.000e+00 5.69e-07 1.49e-154 0.00e+00 2.98e-154 1.00e+00 1.00e+00 1.00e-01 3 0.1 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 7.46e-155 1.00e+00 1.00e+00 1.00e-01 4 0.1 5.692e-09 1.000e+00 1.000e+00 5.69e-09 7.46e-155 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 5 0.1 5.692e-10 1.000e+00 1.000e+00 5.69e-10 1.49e-154 0.00e+00 4.48e-154 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.112199 seconds (4.15 k allocations: 420.805 KiB, 93.19% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.999999999943082767345918698544508017569974624057208266457974835711522318202508235955692433962853769890462354529264611804970808355570931108584281349877274147 Dual objective:1.00000000005691723278366416861879595763094229654106229723826343406620015981991860279670475958092535880848061399705684110962166769549535615418776320450019962 duality gap:5.69172327188727350334562209271275640548299112383149054831003157867577694976749864350203145189282580709076898782432375742517657061075226635835733711825869e-11 [ 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. ┌ Warning: 1 constraints were removed due to linear dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:300 ┌ Warning: 1 free variables were removed due to linear relations or dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:303 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+02 1.000e+00 1.100e+01 8.33e-01 9.00e+00 0.00e+00 9.50e+00 1.00e+00 1.00e+00 3.00e-01 2 0.4 1.380e+01 1.000e+00 1.480e+01 8.73e-01 1.04e-153 1.19e-153 1.19e-153 1.00e+00 1.00e+00 3.00e-01 3 0.4 4.140e+00 1.000e+00 5.140e+00 6.74e-01 0.00e+00 1.32e-154 0.00e+00 1.00e+00 1.00e+00 1.00e-01 4 0.4 4.140e-01 1.000e+00 1.414e+00 1.71e-01 0.00e+00 9.51e-155 0.00e+00 1.00e+00 1.00e+00 1.00e-01 5 0.4 4.140e-02 1.000e+00 1.041e+00 2.03e-02 7.46e-155 3.71e-155 3.73e-155 1.00e+00 1.00e+00 1.00e-01 6 0.4 4.140e-03 1.000e+00 1.004e+00 2.07e-03 0.00e+00 1.29e-154 3.26e-155 1.00e+00 1.00e+00 1.00e-01 7 0.4 4.140e-04 1.000e+00 1.000e+00 2.07e-04 7.46e-155 9.26e-155 3.35e-155 1.00e+00 1.00e+00 1.00e-01 8 0.4 4.140e-05 1.000e+00 1.000e+00 2.07e-05 0.00e+00 1.50e-154 3.69e-155 1.00e+00 1.00e+00 1.00e-01 9 0.4 4.140e-06 1.000e+00 1.000e+00 2.07e-06 7.46e-155 1.05e-154 3.72e-155 1.00e+00 1.00e+00 1.00e-01 10 0.4 4.140e-07 1.000e+00 1.000e+00 2.07e-07 0.00e+00 1.05e-154 3.73e-155 1.00e+00 1.00e+00 1.00e-01 11 0.5 4.140e-08 1.000e+00 1.000e+00 2.07e-08 0.00e+00 1.61e-154 2.02e-155 1.00e+00 1.00e+00 1.00e-01 12 0.5 4.140e-09 1.000e+00 1.000e+00 2.07e-09 7.46e-155 7.17e-155 9.06e-156 1.00e+00 1.00e+00 1.00e-01 13 0.5 4.140e-10 1.000e+00 1.000e+00 2.07e-10 0.00e+00 1.42e-154 1.76e-155 1.00e+00 1.00e+00 1.00e-01 14 0.5 4.140e-11 1.000e+00 1.000e+00 2.07e-11 0.00e+00 1.42e-154 2.43e-155 1.00e+00 1.00e+00 1.00e-01 15 0.5 4.140e-12 1.000e+00 1.000e+00 2.07e-12 0.00e+00 9.82e-155 2.95e-155 1.00e+00 1.00e+00 1.00e-01 16 0.5 4.140e-13 1.000e+00 1.000e+00 2.07e-13 7.46e-155 2.83e-155 1.79e-155 1.00e+00 1.00e+00 1.00e-01 17 0.5 4.140e-14 1.000e+00 1.000e+00 2.07e-14 0.00e+00 1.39e-154 1.31e-155 1.00e+00 1.00e+00 1.00e-01 18 0.5 4.140e-15 1.000e+00 1.000e+00 2.07e-15 0.00e+00 9.51e-155 1.98e-155 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.535038 seconds (13.86 k allocations: 1.413 MiB, 90.23% gc time, 5.19% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:1.00000000000000041400000000000034605651677566142774407392687186916232223378689378812088634705011536321252260816791139928389029512082744498504812549981164861 Dual objective:1.0 duality gap:2.07000000000000130179258387830651108080990874009505586343285547795981978213262346231597887098202393430037077719288324361477378963347741451865862589327364879e-16 ┌ Warning: Constraints which do not use SDP variables detected. Requires preprocessing the SDP to solve. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/interface.jl:910 ┌ Warning: 2 constraints were removed due to linear dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:300 ┌ Warning: 2 free variables were removed due to linear relations or dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:303 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+02 1.000e+00 1.100e+01 8.33e-01 9.00e+00 0.00e+00 9.75e+00 1.00e+00 9.23e-01 3.00e-01 2 0.1 1.543e+01 -2.608e+00 2.000e+00 4.61e+00 0.00e+00 0.00e+00 7.50e-01 1.00e+00 1.00e+00 3.00e-01 3 0.1 4.195e+00 -2.945e+00 1.250e+00 2.47e+00 1.19e-153 0.00e+00 7.46e-155 1.00e+00 1.00e+00 3.00e-01 4 0.1 1.259e+00 -8.611e-03 1.250e+00 1.01e+00 0.00e+00 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 5 0.1 1.259e-01 1.124e+00 1.250e+00 5.30e-02 0.00e+00 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 6 0.1 1.259e-02 1.237e+00 1.250e+00 5.06e-03 7.46e-155 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 7 0.1 1.259e-03 1.249e+00 1.250e+00 5.04e-04 7.46e-155 0.00e+00 1.86e-155 1.00e+00 1.00e+00 1.00e-01 8 0.1 1.259e-04 1.250e+00 1.250e+00 5.03e-05 0.00e+00 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 9 0.1 1.259e-05 1.250e+00 1.250e+00 5.03e-06 0.00e+00 0.00e+00 1.86e-155 1.00e+00 1.00e+00 1.00e-01 10 0.1 1.259e-06 1.250e+00 1.250e+00 5.03e-07 7.46e-155 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 11 0.1 1.259e-07 1.250e+00 1.250e+00 5.03e-08 0.00e+00 0.00e+00 7.46e-155 1.00e+00 1.00e+00 1.00e-01 12 0.2 1.259e-08 1.250e+00 1.250e+00 5.03e-09 0.00e+00 0.00e+00 1.86e-155 1.00e+00 1.00e+00 1.00e-01 13 0.2 1.259e-09 1.250e+00 1.250e+00 5.03e-10 7.46e-155 0.00e+00 3.73e-155 1.00e+00 1.00e+00 1.00e-01 14 0.2 1.259e-10 1.250e+00 1.250e+00 5.03e-11 7.46e-155 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.259e-11 1.250e+00 1.250e+00 5.03e-12 0.00e+00 0.00e+00 1.86e-155 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.259e-12 1.250e+00 1.250e+00 5.03e-13 7.46e-155 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.259e-13 1.250e+00 1.250e+00 5.03e-14 7.46e-155 0.00e+00 3.73e-155 1.00e+00 1.00e+00 1.00e-01 18 0.2 1.259e-14 1.250e+00 1.250e+00 5.03e-15 0.00e+00 0.00e+00 5.59e-155 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.208355 seconds (11.61 k allocations: 1.298 MiB, 89.55% gc time) Linear dependencies: Error During Test at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests_solver.jl:249 Got exception outside of a @test MethodError: no method matching zero(::Type{Any}) This error has been manually thrown, explicitly, so the method may exist but be intentionally marked as unimplemented. Closest candidates are: zero(::Type{Any}) @ Base missing.jl:106 zero(::Type{T}) where T>:Missing @ Base missing.jl:108 zero(!Matched::Type{Union{}}, Any...) @ Base number.jl:365 ... Stacktrace: [1] zero(::Type{Any}) @ Base ./missing.jl:106 [2] __generic_matvecmul!(::typeof(identity), C::Vector{Any}, A::Matrix{BigFloat}, B::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1074 [3] _generic_matvecmul! @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1104 [inlined] [4] generic_matvecmul! @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1039 [inlined] [5] _mul! @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:75 [inlined] [6] mul! @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:72 [inlined] [7] mul! @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:270 [inlined] [8] * @ /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:62 [inlined] [9] add_dependent_freevars(y::Arblib.ArbRefMatrix, ::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}; T::Type{BigFloat}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:273 [10] kwcall(::@NamedTuple{T::DataType}, ::typeof(ClusteredLowRankSolver.add_dependent_freevars), y::Arblib.ArbRefMatrix, ::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:258 [11] #postprocess#473 @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:320 [inlined] [12] postprocess(x::Arblib.ArbRefMatrix, y::Arblib.ArbRefMatrix, cs::Vector{Tuple{Int64, Int64, Int64}}, var_rels::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/pre_postprocessing.jl:312 [13] solvesdp(sdp::ClusteredLowRankSDP, threadinginfo::ClusteredLowRankSolver.ThreadingInfo; prec::Int64, maxiterations::Int64, beta_infeasible::Rational{Int64}, beta_feasible::Rational{Int64}, gamma::Rational{Int64}, omega_p::Int64, omega_d::Int64, duality_gap_threshold::Float64, dual_error_threshold::Float64, primal_error_threshold::Float64, max_complementary_gap::BigInt, need_dual_feasible::Bool, need_primal_feasible::Bool, verbose::Bool, step_length_threshold::Float64, dualsol::Nothing, primalsol::Nothing, safe_step::Bool, correctoronly::Bool, save_settings::SaveSettings, preprocess::Bool, matmul_prec::Int64, testing::Bool) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/solver.jl:632 ┌[14] solvesdp │ @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/solver.jl:100 [inlined] ╰──── repeated 2 times [16] #solvesdp#476 @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/solver.jl:98 [inlined] [17] kwcall(::@NamedTuple{omega_d::Int64, omega_p::Int64}, ::typeof(solvesdp), problem::Problem) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/KqsaT/src/solver.jl:71 [18] top-level scope @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests_solver.jl:6 [19] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2243 [inlined] [20] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests_solver.jl:250 [inlined] [21] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2243 [inlined] [22] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests_solver.jl:261 [inlined] [23] include(mapexpr::Function, mod::Module, _path::String) @ Base ./Base.jl:324 [24] top-level scope @ ~/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests.jl:2 [25] include(mapexpr::Function, mod::Module, _path::String) @ Base ./Base.jl:324 [26] top-level scope @ none:6 [27] eval(m::Module, e::Any) @ Core ./boot.jl:517 [28] exec_options(opts::Base.JLOptions) @ Base ./client.jl:310 [29] _start() @ Base ./client.jl:585 Test Summary: | Pass Error Total Time ClusteredLowRankSolver.jl | 45 1 46 12m46.1s Examples | 5 5 6m24.0s Modelling | 1 1 8.1s Options | 3 3 9.6s Saving | 3 3 1.6s Warnings | 2 2 1.2s Rounding | 5 5 5m07.2s Warmstart | 1 1 16.1s SampledMPolyElem | 13 13 7.4s LowRankMat(Pol) | 2 2 2.4s SDPA format | 4 4 3.4s Checking | 4 4 8.2s Linear dependencies | 2 1 3 16.7s RNG of the outermost testset: Random.Xoshiro(0x4df40523904da99f, 0x0e2078dbded3c7bf, 0x57c6d24a1a14564a, 0x97f22be70b8d40c4, 0x56d6be7b000b75aa) ERROR: LoadError: Some tests did not pass: 45 passed, 0 failed, 1 errored, 0 broken. in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests_solver.jl:4 in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/KqsaT/test/runtests.jl:2 Testing failed after 792.64s ERROR: LoadError: Package ClusteredLowRankSolver errored during testing Stacktrace: [1] pkgerror(msg::String) @ Pkg.Types /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Types.jl:68 [2] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, julia_args::Cmd, test_args::Cmd, test_fn::Nothing, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool) @ Pkg.Operations /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Operations.jl:3160 [3] test @ /opt/julia/share/julia/stdlib/v1.14/Pkg/src/Operations.jl:3025 [inlined] [4] test(ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}; coverage::Bool, test_fn::Nothing, julia_args::Cmd, test_args::Cmd, force_latest_compatible_version::Bool, allow_earlier_backwards_compatible_versions::Bool, allow_reresolve::Bool, kwargs::@Kwargs{io::IOContext{IO}}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:586 [5] kwcall(::@NamedTuple{julia_args::Cmd, io::IOContext{IO}}, ::typeof(Pkg.API.test), ctx::Pkg.Types.Context, pkgs::Vector{PackageSpec}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:562 [6] test(pkgs::Vector{PackageSpec}; io::IOContext{IO}, kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:172 [7] kwcall(::@NamedTuple{julia_args::Cmd}, ::typeof(Pkg.API.test), pkgs::Vector{PackageSpec}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:161 [8] test(pkgs::Vector{String}; kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:160 [9] test @ /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:160 [inlined] [10] kwcall(::@NamedTuple{julia_args::Cmd}, ::typeof(Pkg.API.test), pkg::String) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:159 [11] top-level scope @ /PkgEval.jl/scripts/evaluate.jl:223 [12] include(mod::Module, _path::String) @ Base ./Base.jl:323 [13] exec_options(opts::Base.JLOptions) @ Base ./client.jl:344 [14] _start() @ Base ./client.jl:585 in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 PkgEval failed after 1018.52s: package tests unexpectedly errored