Package evaluation to test ClusteredLowRankSolver on Julia 1.14.0-DEV.3141 (fbd24f51d0*) started at 2026-09-08T18:52:50.654 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 16.3s ################################################################################ # Installation # Installing ClusteredLowRankSolver... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [cadeb640] + ClusteredLowRankSolver v2.2.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.50.2 [fb37089c] + Arblib v1.8.1 [0a1fb500] + BlockDiagonals v0.2.0 [cadeb640] + ClusteredLowRankSolver v2.2.0 [861a8166] + Combinatorics v1.1.0 [34da2185] + Compat v4.18.1 [ffbed154] + DocStringExtensions v0.9.5 [1a297f60] + FillArrays v1.17.0 [14197337] + GenericLinearAlgebra v0.4.1 [076d061b] + HashArrayMappedTries v0.2.0 [92d709cd] + IrrationalConstants v0.2.6 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.8.0 [0b1a1467] + KrylovKit v0.10.4 [2ab3a3ac] + LogExpFunctions v1.0.1 [1914dd2f] + MacroTools v0.5.16 [2edaba10] + Nemo v0.56.1 [65ce6f38] + PackageExtensionCompat v1.0.2 [aea7be01] + PrecompileTools v1.3.4 [21216c6a] + Preferences v1.5.2 [fb686558] + RandomExtensions v0.4.4 [7e506255] + ScopedValues v1.6.2 [276daf66] + SpecialFunctions v2.9.0 [409d34a3] + VectorInterface v0.6.0 [e134572f] + FLINT_jll v301.600.0+0 [656ef2d0] + OpenBLAS32_jll v0.3.34+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 v1.14.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.13.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [fa267f1f] + TOML v1.0.3 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.5.7+0 [781609d7] + GMP_jll v6.3.0+5 [3a97d323] + MPFR_jll v4.2.2+1 [4536629a] + OpenBLAS_jll v0.3.34+0 [05823500] + OpenLibm_jll v0.8.8+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Installation completed after 5.16s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 36.0 s ✓ Nemo 24.4 s ✓ Arblib 102.9 s ✓ MathOptInterface 3.2 s ✓ Arblib → ArblibForwardDiffExt 73.5 s ✓ ClusteredLowRankSolver 68.4 s ✓ JuMP 20.8 s ✓ ClusteredLowRankSolver → MOIExt 23.4 s ✓ ClusteredLowRankSolver → JuMPExt 8 dependencies successfully precompiled in 353 seconds. 64 already precompiled. Precompilation completed after 350.76s ################################################################################ # Testing # Testing ClusteredLowRankSolver Status `/tmp/jl_dTQOjE/Project.toml` [c3fe647b] AbstractAlgebra v0.50.2 [cadeb640] ClusteredLowRankSolver v2.2.0 [4076af6c] JuMP v1.31.2 ⌃ [b8f27783] MathOptInterface v1.52.0 [2edaba10] Nemo v0.56.1 [1fd47b50] QuadGK v2.11.3 [276daf66] SpecialFunctions v2.9.0 [37e2e46d] LinearAlgebra v1.14.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_dTQOjE/Manifest.toml` [c3fe647b] AbstractAlgebra v0.50.2 [fb37089c] Arblib v1.8.1 [0a1fb500] BlockDiagonals v0.2.0 [cadeb640] ClusteredLowRankSolver v2.2.0 [523fee87] CodecBzip2 v0.8.5 [944b1d66] CodecZlib v0.7.9 [861a8166] Combinatorics v1.1.0 [bbf7d656] CommonSubexpressions v0.3.1 [34da2185] Compat v4.18.1 [864edb3b] DataStructures v0.19.6 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.16.0 [ffbed154] DocStringExtensions v0.9.5 [1a297f60] FillArrays v1.17.0 [f6369f11] ForwardDiff v1.4.5 [14197337] GenericLinearAlgebra v0.4.1 [076d061b] HashArrayMappedTries v0.2.0 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.8.0 [682c06a0] JSON v1.8.0 [4076af6c] JuMP v1.31.2 [0b1a1467] KrylovKit v0.10.4 [2ab3a3ac] LogExpFunctions v1.0.1 [1914dd2f] MacroTools v0.5.16 ⌃ [b8f27783] MathOptInterface v1.52.0 [d8a4904e] MutableArithmetics v1.8.0 [77ba4419] NaNMath v1.1.4 [2edaba10] Nemo v0.56.1 [bac558e1] OrderedCollections v2.0.1 [65ce6f38] PackageExtensionCompat v1.0.2 [69de0a69] Parsers v3.0.0 [aea7be01] PrecompileTools v1.3.4 [21216c6a] Preferences v1.5.2 [1fd47b50] QuadGK v2.11.3 [fb686558] RandomExtensions v0.4.4 [7e506255] ScopedValues v1.6.2 [276daf66] SpecialFunctions v2.9.0 [1e83bf80] StaticArraysCore v1.4.4 [ec057cc2] StructUtils v2.8.5 [3bb67fe8] TranscodingStreams v0.11.3 [409d34a3] VectorInterface v0.6.0 [6e34b625] Bzip2_jll v1.0.9+0 [e134572f] FLINT_jll v301.600.0+0 [656ef2d0] OpenBLAS32_jll v0.3.34+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 v1.14.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.13.0 [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 v1.5.7+0 [781609d7] GMP_jll v6.3.0+5 [3a97d323] MPFR_jll v4.2.2+1 [4536629a] OpenBLAS_jll v0.3.34+0 [05823500] OpenLibm_jll v0.8.8+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.2+0 [8e850b90] libblastrampoline_jll v5.15.0+0 Info Packages marked with ⌃ have new versions available and may be upgradable. Testing Running tests... iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 19.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.4 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 24.5 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 24.5 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 24.5 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 24.5 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 24.5 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 24.5 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 24.5 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 24.5 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 24.5 2.995e+12 1.720e+13 -1.811e+12 1.24e+00 9.79e-02 9.79e-12 1.48e-52 1.00e+00 1.00e+00 3.00e-01 21 24.5 8.988e+11 4.388e+12 -1.903e+12 2.53e+00 9.39e-65 0.00e+00 6.05e-52 1.00e+00 1.00e+00 3.00e-01 22 24.5 2.696e+11 1.339e+12 -5.487e+11 2.39e+00 9.50e-66 2.37e-66 2.93e-52 8.90e-01 8.90e-01 1.00e-01 23 24.5 5.361e+10 2.688e+11 -1.065e+11 2.31e+00 3.32e-66 1.19e-66 5.35e-53 8.70e-01 8.70e-01 1.00e-01 24 24.5 1.161e+10 5.819e+10 -2.310e+10 2.32e+00 1.47e-66 7.42e-68 7.59e-54 8.52e-01 8.52e-01 1.00e-01 25 24.5 2.713e+09 1.355e+10 -5.443e+09 2.34e+00 4.06e-67 0.00e+00 1.17e-54 8.36e-01 8.36e-01 1.00e-01 26 24.5 6.711e+08 3.370e+09 -1.328e+09 2.30e+00 1.15e-67 4.64e-69 1.83e-55 8.30e-01 8.30e-01 1.00e-01 27 24.5 1.696e+08 8.422e+08 -3.452e+08 2.39e+00 2.24e-68 3.48e-69 3.08e-56 8.10e-01 8.10e-01 1.00e-01 28 24.6 4.599e+07 2.340e+08 -8.791e+07 2.20e+00 6.93e-69 8.69e-70 5.84e-57 8.18e-01 8.18e-01 1.00e-01 29 24.6 1.213e+07 5.873e+07 -2.619e+07 2.61e+00 1.12e-69 4.35e-70 1.07e-57 7.63e-01 7.63e-01 1.00e-01 30 24.6 3.798e+06 2.001e+07 -6.576e+06 1.98e+00 1.45e-70 5.43e-71 2.52e-58 8.24e-01 8.24e-01 1.00e-01 31 24.6 9.800e+05 4.616e+06 -2.245e+06 2.89e+00 1.31e-70 1.81e-71 4.43e-59 7.75e-01 7.75e-01 1.00e-01 32 24.6 2.963e+05 1.559e+06 -5.151e+05 1.99e+00 1.13e-71 9.06e-72 9.96e-60 8.39e-01 8.39e-01 1.00e-01 33 24.6 7.263e+04 3.436e+05 -1.649e+05 2.85e+00 4.91e-72 2.83e-73 1.61e-60 7.97e-01 7.97e-01 1.00e-01 34 24.6 2.051e+04 1.063e+05 -3.733e+04 2.08e+00 8.49e-73 1.41e-73 3.25e-61 8.41e-01 8.41e-01 1.00e-01 35 24.6 4.988e+03 2.366e+04 -1.125e+04 2.81e+00 6.68e-73 5.31e-74 5.18e-62 8.01e-01 8.01e-01 1.00e-01 36 24.6 1.393e+03 7.141e+03 -2.612e+03 2.15e+00 1.92e-73 1.77e-74 1.03e-62 8.38e-01 8.38e-01 1.00e-01 37 24.6 3.422e+02 1.603e+03 -7.929e+02 2.96e+00 1.33e-74 8.84e-75 1.67e-63 7.97e-01 7.97e-01 1.00e-01 38 24.6 9.665e+01 4.860e+02 -1.905e+02 2.29e+00 6.63e-75 1.11e-75 3.38e-64 8.39e-01 8.39e-01 1.00e-01 39 24.6 2.366e+01 1.051e+02 -6.048e+01 3.71e+00 1.11e-75 4.84e-76 5.44e-65 8.03e-01 8.03e-01 1.00e-01 40 24.6 6.562e+00 2.998e+01 -1.595e+01 3.28e+00 5.53e-76 8.64e-77 1.07e-65 8.57e-01 8.57e-01 1.00e-01 41 24.6 1.499e+00 4.629e+00 -5.866e+00 8.49e+00 1.04e-76 8.64e-77 1.53e-66 8.75e-01 8.75e-01 1.00e-01 42 24.7 3.183e-01 -4.666e-01 -2.695e+00 7.05e-01 1.73e-77 0.00e+00 1.91e-67 9.64e-01 9.64e-01 1.00e-01 43 24.7 4.224e-02 -1.900e+00 -2.195e+00 7.22e-02 2.59e-77 8.64e-78 6.94e-69 9.83e-01 9.83e-01 1.00e-01 44 24.7 4.861e-03 -2.089e+00 -2.123e+00 8.08e-03 8.64e-78 0.00e+00 1.16e-70 9.97e-01 9.97e-01 1.00e-01 45 24.7 5.004e-04 -2.110e+00 -2.114e+00 8.29e-04 8.64e-78 8.64e-78 3.80e-73 9.99e-01 9.99e-01 1.00e-01 46 24.7 5.050e-05 -2.113e+00 -2.113e+00 8.37e-05 1.73e-77 2.59e-77 6.08e-75 1.00e+00 1.00e+00 1.00e-01 47 24.7 5.060e-06 -2.113e+00 -2.113e+00 8.38e-06 8.64e-78 8.64e-78 3.32e-75 1.00e+00 1.00e+00 1.00e-01 48 24.7 5.062e-07 -2.113e+00 -2.113e+00 8.39e-07 8.64e-78 1.73e-77 1.35e-74 1.00e+00 1.00e+00 1.00e-01 49 24.7 5.063e-08 -2.113e+00 -2.113e+00 8.39e-08 8.64e-78 1.73e-77 2.03e-74 1.00e+00 1.00e+00 1.00e-01 50 24.7 5.063e-09 -2.113e+00 -2.113e+00 8.39e-09 8.64e-78 3.45e-77 1.50e-74 1.00e+00 1.00e+00 1.00e-01 51 24.7 5.064e-10 -2.113e+00 -2.113e+00 8.39e-10 8.64e-78 3.45e-77 5.20e-74 1.00e+00 1.00e+00 1.00e-01 52 24.7 5.065e-11 -2.113e+00 -2.113e+00 8.39e-11 8.64e-78 2.59e-77 9.15e-74 1.00e+00 1.00e+00 1.00e-01 53 24.7 5.065e-12 -2.113e+00 -2.113e+00 8.39e-12 8.64e-78 2.59e-77 5.11e-74 1.00e+00 1.00e+00 1.00e-01 54 24.7 5.066e-13 -2.113e+00 -2.113e+00 8.39e-13 8.64e-78 2.59e-77 2.13e-73 1.00e+00 1.00e+00 1.00e-01 55 24.8 5.066e-14 -2.113e+00 -2.113e+00 8.39e-14 8.64e-78 1.73e-77 3.17e-73 1.00e+00 1.00e+00 1.00e-01 56 24.8 5.067e-15 -2.113e+00 -2.113e+00 8.39e-15 8.64e-78 2.59e-77 1.62e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 24.876236 seconds (4.14 M allocations: 265.812 MiB, 1.30% gc time, 98.08% 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:-2.112913881423605414322597456791204082253028439843193331123845734685889587272002 Dual objective:-2.11291388142360186739377425439457289968546242088820570925709556864584061795159 duality gap:8.393453359330969227290938673202788252489130474403514992431155449783349187662214e-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 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 0.4 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 0.5 1.478e+19 1.359e+09 5.379e+11 9.95e-01 6.29e+08 6.29e-02 8.83e-66 8.20e-01 1.00e+00 3.00e-01 4 0.5 4.264e+18 4.397e+08 8.578e+11 9.99e-01 1.13e+08 1.13e-02 1.01e-64 8.92e-01 1.00e+00 3.00e-01 5 0.6 7.344e+17 4.931e+07 1.370e+12 1.00e+00 1.22e+07 1.22e-03 2.78e-64 8.98e-01 1.00e+00 3.00e-01 6 0.8 1.198e+17 4.867e+06 2.189e+12 1.00e+00 1.24e+06 1.24e-04 2.91e-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 2.91e-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 5.08e-64 8.97e-01 1.00e+00 3.00e-01 9 1.0 5.394e+14 5.483e+03 8.950e+12 1.00e+00 1.37e+03 1.37e-07 1.06e-63 8.99e-01 1.00e+00 3.00e-01 10 1.1 8.742e+13 5.525e+02 1.430e+13 1.00e+00 1.38e+02 1.38e-08 2.22e-63 8.99e-01 1.00e+00 3.00e-01 11 1.1 1.453e+13 6.378e+01 2.266e+13 1.00e+00 1.40e+01 1.40e-09 2.68e-63 8.96e-01 1.00e+00 3.00e-01 12 1.2 2.995e+12 1.385e+01 3.308e+13 1.00e+00 1.45e+00 1.45e-10 4.65e-63 8.80e-01 1.00e+00 3.00e-01 13 1.2 1.001e+12 9.125e+00 2.897e+13 1.00e+00 1.74e-01 1.74e-11 5.99e-63 8.85e-01 1.00e+00 3.00e-01 14 1.3 3.229e+11 8.728e+00 1.226e+13 1.00e+00 2.01e-02 2.01e-12 5.74e-63 8.77e-01 1.00e+00 3.00e-01 15 1.4 9.802e+10 8.791e+00 3.989e+12 1.00e+00 2.47e-03 2.47e-13 9.16e-64 1.00e+00 1.00e+00 3.00e-01 16 1.4 2.964e+10 8.979e+00 1.245e+12 1.00e+00 3.45e-77 1.73e-77 1.83e-64 1.00e+00 1.00e+00 3.00e-01 17 1.5 8.892e+09 9.036e+00 3.735e+11 1.00e+00 5.18e-77 1.73e-77 1.42e-65 9.97e-01 9.97e-01 1.00e-01 18 1.5 9.112e+08 9.041e+00 3.827e+10 1.00e+00 6.05e-77 1.73e-77 5.93e-66 1.00e+00 1.00e+00 1.00e-01 19 1.6 9.117e+07 9.046e+00 3.829e+09 1.00e+00 3.45e-77 3.45e-77 4.82e-67 1.00e+00 1.00e+00 1.00e-01 20 1.7 9.118e+06 9.050e+00 3.830e+08 1.00e+00 5.18e-77 2.59e-77 1.16e-67 1.00e+00 1.00e+00 1.00e-01 21 1.8 9.119e+05 9.054e+00 3.830e+07 1.00e+00 5.18e-77 0.00e+00 1.45e-68 1.00e+00 1.00e+00 1.00e-01 22 1.9 9.120e+04 9.058e+00 3.830e+06 1.00e+00 5.18e-77 2.59e-77 2.74e-70 1.00e+00 1.00e+00 1.00e-01 23 1.9 9.121e+03 9.061e+00 3.831e+05 1.00e+00 5.18e-77 1.73e-77 3.33e-71 1.00e+00 1.00e+00 1.00e-01 24 2.0 9.123e+02 9.064e+00 3.832e+04 1.00e+00 3.67e-77 3.45e-77 8.49e-72 1.00e+00 1.00e+00 1.00e-01 25 2.0 9.154e+01 9.069e+00 3.854e+03 9.95e-01 6.91e-77 2.59e-77 4.95e-73 9.96e-01 9.96e-01 1.00e-01 26 2.1 9.453e+00 9.090e+00 4.061e+02 9.56e-01 3.45e-77 2.59e-77 2.45e-74 9.67e-01 9.67e-01 1.00e-01 27 2.1 1.226e+00 9.266e+00 6.078e+01 7.35e-01 3.45e-77 2.59e-77 3.42e-75 8.41e-01 8.41e-01 1.00e-01 28 2.2 2.985e-01 1.028e+01 2.281e+01 3.79e-01 5.18e-77 2.59e-77 2.49e-75 7.57e-01 7.57e-01 1.00e-01 29 2.3 9.522e-02 1.184e+01 1.584e+01 1.45e-01 5.51e-77 2.59e-77 5.98e-75 5.18e-01 5.18e-01 1.00e-01 30 2.3 5.085e-02 1.263e+01 1.477e+01 7.79e-02 3.45e-77 2.59e-77 1.11e-74 6.13e-01 6.13e-01 1.00e-01 31 2.4 2.282e-02 1.280e+01 1.376e+01 3.61e-02 6.05e-77 2.59e-77 6.68e-75 8.46e-01 8.46e-01 1.00e-01 32 2.4 5.436e-03 1.307e+01 1.330e+01 8.66e-03 6.91e-77 1.73e-77 8.60e-75 8.46e-01 8.46e-01 1.00e-01 33 2.5 1.296e-03 1.314e+01 1.319e+01 2.07e-03 3.45e-77 1.73e-77 5.63e-74 8.17e-01 8.17e-01 1.00e-01 34 2.6 3.428e-04 1.315e+01 1.317e+01 5.47e-04 4.10e-77 1.73e-77 3.37e-73 8.07e-01 8.07e-01 1.00e-01 35 2.6 9.373e-05 1.316e+01 1.316e+01 1.50e-04 6.91e-77 3.45e-77 1.28e-72 7.58e-01 7.58e-01 1.00e-01 36 2.8 2.978e-05 1.316e+01 1.316e+01 4.75e-05 7.93e-77 2.59e-77 8.20e-73 8.83e-01 8.83e-01 1.00e-01 37 2.9 6.117e-06 1.316e+01 1.316e+01 9.76e-06 5.18e-77 1.73e-77 2.03e-72 8.72e-01 8.72e-01 1.00e-01 38 2.9 1.315e-06 1.316e+01 1.316e+01 2.10e-06 5.68e-77 1.73e-77 1.17e-72 9.01e-01 9.01e-01 1.00e-01 39 3.0 2.487e-07 1.316e+01 1.316e+01 3.97e-07 5.18e-77 8.64e-78 4.60e-72 9.70e-01 9.70e-01 1.00e-01 40 3.0 3.167e-08 1.316e+01 1.316e+01 5.05e-08 5.44e-77 2.59e-77 8.89e-72 9.98e-01 9.98e-01 1.00e-01 41 3.1 3.234e-09 1.316e+01 1.316e+01 5.16e-09 6.91e-77 2.59e-77 1.23e-71 9.98e-01 9.98e-01 1.00e-01 42 3.1 3.294e-10 1.316e+01 1.316e+01 5.26e-10 3.95e-77 2.59e-77 1.74e-71 1.00e+00 1.00e+00 1.00e-01 43 3.2 3.303e-11 1.316e+01 1.316e+01 5.27e-11 6.91e-77 2.59e-77 1.05e-71 1.00e+00 1.00e+00 1.00e-01 44 3.3 3.304e-12 1.316e+01 1.316e+01 5.27e-12 6.91e-77 2.59e-77 7.40e-72 1.00e+00 1.00e+00 1.00e-01 45 3.3 3.304e-13 1.316e+01 1.316e+01 5.27e-13 8.64e-77 2.59e-77 5.54e-72 1.00e+00 1.00e+00 1.00e-01 46 3.4 3.305e-14 1.316e+01 1.316e+01 5.27e-14 6.91e-77 2.59e-77 1.27e-71 1.00e+00 1.00e+00 1.00e-01 47 3.4 3.305e-15 1.316e+01 1.316e+01 5.27e-15 7.13e-77 1.73e-77 4.43e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 3.424260 seconds (5.71 M allocations: 381.952 MiB, 26.81% gc time, 7.26% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:13.15831434739031266027618320100569187881968439292564956856862843937637882245953 Dual objective:13.15831434739029877806328185570365544117365453146368563986741900220398106543013 duality gap:5.275072678324700244129385890108664297889647896481091159696335796000316364440798e-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 0.3 4.190e+19 -2.320e+10 -2.620e+08 9.78e-01 2.97e+09 8.99e+19 2.04e+10 7.89e-01 7.78e-01 3.00e-01 3 0.4 1.306e+19 -4.643e+10 -1.742e+09 9.28e-01 6.28e+08 1.90e+19 4.53e+09 8.17e-01 7.43e-01 3.00e-01 4 0.5 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 0.6 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 0.7 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 0.8 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 0.9 4.286e+16 -2.882e+11 3.009e+10 1.23e+00 3.03e+05 9.15e+15 1.92e+06 7.63e-01 8.17e-01 3.00e-01 9 1.0 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 1.1 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 1.2 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 1.3 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 1.5 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 1.6 4.247e+13 -1.546e+13 6.864e+11 1.09e+00 2.03e+01 6.13e+11 5.46e-48 8.97e-01 1.00e+00 3.00e-01 16 1.8 7.181e+12 -1.302e+13 1.093e+12 1.18e+00 2.08e+00 6.30e+10 4.63e-48 8.89e-01 1.00e+00 3.00e-01 17 2.1 1.329e+12 -3.359e+12 1.724e+12 3.11e+00 2.31e-01 6.99e+09 1.43e-48 8.33e-01 1.00e+00 3.00e-01 18 2.2 3.857e+11 -8.933e+11 2.306e+12 2.26e+00 3.86e-02 1.17e+09 7.86e-48 7.07e-01 1.00e+00 3.00e-01 19 2.3 1.766e+11 -3.434e+11 1.375e+12 1.67e+00 1.13e-02 3.42e+08 1.74e-47 8.44e-01 8.41e-01 3.00e-01 20 2.4 4.903e+10 -9.837e+10 7.115e+11 1.32e+00 1.77e-03 5.34e+07 2.64e-47 8.56e-01 1.00e+00 3.00e-01 21 2.5 1.622e+10 -2.672e+10 4.770e+11 1.12e+00 2.54e-04 7.67e+06 2.52e-47 7.71e-01 1.00e+00 3.00e-01 22 2.6 5.589e+09 -9.867e+09 1.839e+11 1.11e+00 5.81e-05 1.76e+06 1.25e-47 8.65e-01 8.10e-01 3.00e-01 23 2.6 2.102e+09 -2.786e+09 8.647e+10 1.07e+00 7.86e-06 2.38e+05 2.59e-48 7.54e-01 1.00e+00 3.00e-01 24 2.7 6.491e+08 -1.160e+09 2.539e+10 1.10e+00 1.93e-06 5.84e+04 3.13e-49 9.04e-01 9.19e-01 3.00e-01 25 2.8 2.210e+08 -2.876e+08 9.863e+09 1.06e+00 1.86e-07 5.62e+03 2.75e-48 9.41e-01 1.00e+00 3.00e-01 26 2.9 6.517e+07 -7.947e+07 3.067e+09 1.05e+00 1.11e-08 3.34e+02 4.82e-48 1.00e+00 1.00e+00 3.00e-01 27 3.0 1.954e+07 -1.955e+07 9.380e+08 1.04e+00 1.65e-63 1.99e-43 1.78e-47 1.00e+00 1.00e+00 3.00e-01 28 3.1 5.862e+06 -5.862e+06 2.814e+08 1.04e+00 1.31e-63 1.79e-43 1.08e-47 1.00e+00 1.00e+00 1.00e-01 29 3.2 5.873e+05 -5.873e+05 2.819e+07 1.04e+00 1.83e-63 5.15e-43 3.28e-49 1.00e+00 1.00e+00 1.00e-01 30 3.3 5.874e+04 -5.874e+04 2.819e+06 1.04e+00 1.76e-63 7.86e-44 1.79e-50 1.00e+00 1.00e+00 1.00e-01 31 3.4 5.874e+03 -5.874e+03 2.820e+05 1.04e+00 1.51e-63 6.53e-44 7.90e-52 1.00e+00 1.00e+00 1.00e-01 32 3.6 5.875e+02 -5.874e+02 2.820e+04 1.04e+00 1.07e-63 1.67e-43 2.24e-52 1.00e+00 1.00e+00 1.00e-01 33 3.7 5.876e+01 -5.866e+01 2.821e+03 1.04e+00 1.05e-63 7.27e-43 3.02e-54 1.00e+00 1.00e+00 1.00e-01 34 3.8 5.883e+00 -5.788e+00 2.825e+02 1.04e+00 9.12e-64 3.16e-43 9.09e-55 9.99e-01 9.99e-01 1.00e-01 35 3.9 5.954e-01 -4.995e-01 2.868e+01 1.04e+00 1.39e-63 9.14e-44 4.18e-55 9.88e-01 9.88e-01 1.00e-01 36 4.0 6.616e-02 3.259e-02 3.274e+00 9.80e-01 1.91e-63 4.98e-43 2.73e-55 9.22e-01 9.22e-01 1.00e-01 37 4.1 1.126e-02 1.068e-01 6.584e-01 5.52e-01 1.51e-63 6.88e-43 1.47e-55 8.48e-01 8.48e-01 1.00e-01 38 4.2 2.667e-03 1.882e-01 3.188e-01 1.31e-01 1.40e-63 5.39e-43 8.83e-56 8.38e-01 8.38e-01 1.00e-01 39 4.3 6.553e-04 2.394e-01 2.715e-01 3.21e-02 9.89e-64 2.12e-43 8.18e-57 8.06e-01 8.06e-01 1.00e-01 40 4.4 1.798e-04 2.495e-01 2.583e-01 8.81e-03 1.92e-63 1.53e-42 1.39e-56 8.23e-01 8.23e-01 1.00e-01 41 4.5 4.661e-05 2.526e-01 2.549e-01 2.28e-03 2.65e-63 1.61e-42 1.45e-56 7.89e-01 7.89e-01 1.00e-01 42 4.6 1.350e-05 2.534e-01 2.540e-01 6.61e-04 1.33e-63 1.86e-43 3.85e-55 7.75e-01 7.75e-01 1.00e-01 43 4.7 4.080e-06 2.536e-01 2.538e-01 2.00e-04 1.30e-63 2.54e-43 6.53e-55 7.61e-01 7.61e-01 1.00e-01 44 4.8 1.286e-06 2.537e-01 2.538e-01 6.30e-05 1.13e-63 5.62e-43 2.04e-54 9.61e-01 9.61e-01 1.00e-01 45 4.9 1.739e-07 2.537e-01 2.537e-01 8.52e-06 1.08e-63 2.35e-43 3.03e-55 9.60e-01 9.60e-01 1.00e-01 46 5.0 2.369e-08 2.537e-01 2.537e-01 1.16e-06 1.62e-63 5.30e-43 5.49e-55 9.77e-01 9.77e-01 1.00e-01 47 5.2 2.854e-09 2.537e-01 2.537e-01 1.40e-07 1.37e-63 8.92e-43 1.11e-54 9.93e-01 9.93e-01 1.00e-01 48 5.3 3.031e-10 2.537e-01 2.537e-01 1.49e-08 1.12e-63 1.26e-43 5.87e-55 9.99e-01 9.99e-01 1.00e-01 49 5.4 3.050e-11 2.537e-01 2.537e-01 1.49e-09 1.72e-63 1.17e-42 6.55e-55 1.00e+00 1.00e+00 1.00e-01 50 5.5 3.051e-12 2.537e-01 2.537e-01 1.49e-10 1.34e-63 5.84e-43 1.89e-54 1.00e+00 1.00e+00 1.00e-01 51 5.6 3.051e-13 2.537e-01 2.537e-01 1.50e-11 1.83e-63 1.16e-42 6.86e-55 1.00e+00 1.00e+00 1.00e-01 52 5.7 3.051e-14 2.537e-01 2.537e-01 1.50e-12 1.08e-63 2.07e-42 8.10e-55 1.00e+00 1.00e+00 1.00e-01 53 5.8 3.052e-15 2.537e-01 2.537e-01 1.50e-13 1.05e-63 5.35e-43 8.44e-55 1.00e+00 1.00e+00 1.00e-01 54 5.9 3.052e-16 2.537e-01 2.537e-01 1.50e-14 8.23e-64 1.45e-42 9.06e-55 1.00e+00 1.00e+00 1.00e-01 55 6.0 3.052e-17 2.537e-01 2.537e-01 1.50e-15 1.54e-63 5.68e-43 5.84e-55 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.976182 seconds (7.97 M allocations: 469.130 MiB, 17.36% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.2537404272210648845860419747037461639293320719428927153024018185227340675688966 Dual objective:0.2537404272210647350064460899407040440450505660722067760705149711302053794257438 duality gap:1.495795958847630421198842815058706859392318868473925286881431528157561210767413e-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 8.43e+10 6.32e-01 5.24e-01 3.00e-01 2 1.2 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 3.2 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 3.7 7.008e+17 8.038e+05 9.568e+10 1.00e+00 1.11e+07 1.11e-03 1.49e+08 8.14e-01 7.81e-01 3.00e-01 7 4.3 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 5.0 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 5.6 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 6.3 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 7.2 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 7.9 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 8.6 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 9.4 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 10.2 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 11.0 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 11.7 8.205e+13 7.894e+01 1.584e+13 1.00e+00 2.37e+01 2.37e-09 4.25e-58 8.13e-01 1.00e+00 3.00e-01 18 12.4 2.463e+13 1.886e+01 2.504e+13 1.00e+00 4.43e+00 4.43e-10 1.34e-57 8.84e-01 1.00e+00 3.00e-01 19 13.1 4.808e+12 2.447e+00 3.732e+13 1.00e+00 5.16e-01 5.16e-11 3.15e-57 8.88e-01 1.00e+00 3.00e-01 20 14.1 1.084e+12 3.495e-01 3.941e+13 1.00e+00 5.77e-02 5.77e-12 3.08e-57 8.56e-01 1.00e+00 3.00e-01 21 14.8 3.431e+11 1.295e-01 2.400e+13 1.00e+00 8.33e-03 8.33e-13 1.30e-57 8.25e-01 1.00e+00 3.00e-01 22 15.5 1.158e+11 9.545e-02 1.061e+13 1.00e+00 1.46e-03 1.46e-13 6.52e-58 8.40e-01 8.07e-01 3.00e-01 23 16.3 4.557e+10 8.306e-02 4.818e+12 1.00e+00 2.34e-04 2.34e-14 1.58e-58 7.20e-01 1.00e+00 3.00e-01 24 16.9 1.417e+10 8.217e-02 1.436e+12 1.00e+00 6.54e-05 6.54e-15 3.32e-60 8.96e-01 8.18e-01 3.00e-01 25 17.6 5.688e+09 7.650e-02 6.445e+11 1.00e+00 6.79e-06 6.79e-16 5.83e-59 9.34e-01 1.00e+00 3.00e-01 26 18.5 1.690e+09 7.658e-02 1.988e+11 1.00e+00 4.49e-07 4.49e-17 5.11e-59 1.00e+00 1.00e+00 3.00e-01 27 19.2 5.061e+08 7.648e-02 6.022e+10 1.00e+00 2.45e-74 4.65e-51 8.08e-59 1.00e+00 1.00e+00 3.00e-01 28 20.0 1.518e+08 7.648e-02 1.807e+10 1.00e+00 2.80e-74 4.20e-51 4.06e-59 1.00e+00 1.00e+00 1.00e-01 29 20.8 1.524e+07 7.648e-02 1.814e+09 1.00e+00 3.72e-74 4.20e-51 3.87e-60 1.00e+00 1.00e+00 1.00e-01 30 21.3 1.524e+06 7.649e-02 1.814e+08 1.00e+00 2.67e-74 3.34e-51 5.86e-61 1.00e+00 1.00e+00 1.00e-01 31 22.0 1.525e+05 7.649e-02 1.814e+07 1.00e+00 2.88e-74 4.63e-51 6.48e-62 1.00e+00 1.00e+00 1.00e-01 32 22.7 1.525e+04 7.649e-02 1.814e+06 1.00e+00 1.94e-74 2.69e-51 2.44e-63 1.00e+00 1.00e+00 1.00e-01 33 23.4 1.525e+03 7.649e-02 1.815e+05 1.00e+00 2.71e-74 2.78e-51 2.00e-64 1.00e+00 1.00e+00 1.00e-01 34 24.1 1.525e+02 7.649e-02 1.815e+04 1.00e+00 2.44e-74 6.33e-51 2.60e-65 1.00e+00 1.00e+00 1.00e-01 35 24.8 1.529e+01 7.653e-02 1.820e+03 1.00e+00 3.08e-74 3.52e-51 2.75e-66 9.97e-01 9.97e-01 1.00e-01 36 25.4 1.564e+00 7.692e-02 1.862e+02 9.99e-01 4.11e-74 7.67e-51 3.16e-67 9.76e-01 9.76e-01 1.00e-01 37 26.1 1.897e-01 8.062e-02 2.266e+01 9.93e-01 2.07e-74 3.30e-51 1.50e-68 8.77e-01 8.77e-01 1.00e-01 38 26.8 3.990e-02 1.073e-01 4.856e+00 9.57e-01 2.82e-74 2.10e-51 1.08e-68 9.21e-01 9.21e-01 1.00e-01 39 27.2 6.811e-03 1.612e-01 9.718e-01 7.15e-01 2.68e-74 3.20e-51 1.07e-68 8.71e-01 8.71e-01 1.00e-01 40 27.9 1.473e-03 2.059e-01 3.812e-01 1.75e-01 2.82e-74 2.01e-51 1.35e-68 8.63e-01 8.63e-01 1.00e-01 41 28.7 3.291e-04 2.437e-01 2.829e-01 3.92e-02 4.86e-74 6.89e-51 1.19e-69 8.93e-01 8.93e-01 1.00e-01 42 29.3 6.458e-05 2.517e-01 2.594e-01 7.69e-03 4.47e-74 9.87e-51 5.47e-70 8.48e-01 8.48e-01 1.00e-01 43 30.0 1.529e-05 2.532e-01 2.550e-01 1.82e-03 3.07e-74 8.90e-51 2.23e-67 8.38e-01 8.38e-01 1.00e-01 44 30.7 3.758e-06 2.536e-01 2.540e-01 4.47e-04 5.65e-74 1.65e-50 2.06e-68 8.60e-01 8.60e-01 1.00e-01 45 31.3 8.506e-07 2.537e-01 2.538e-01 1.01e-04 7.55e-74 6.06e-51 1.65e-66 9.32e-01 9.32e-01 1.00e-01 46 31.8 1.372e-07 2.537e-01 2.538e-01 1.63e-05 5.10e-74 7.02e-51 5.98e-67 9.60e-01 9.60e-01 1.00e-01 47 32.6 1.861e-08 2.537e-01 2.537e-01 2.21e-06 4.84e-74 5.09e-51 1.36e-66 9.53e-01 9.53e-01 1.00e-01 48 33.1 2.646e-09 2.537e-01 2.537e-01 3.15e-07 4.94e-74 5.65e-51 2.52e-66 9.65e-01 9.65e-01 1.00e-01 49 33.9 3.469e-10 2.537e-01 2.537e-01 4.13e-08 3.44e-74 1.94e-51 5.74e-67 9.73e-01 9.73e-01 1.00e-01 50 34.8 4.314e-11 2.537e-01 2.537e-01 5.13e-09 3.04e-74 7.09e-51 8.48e-66 9.75e-01 9.75e-01 1.00e-01 51 35.5 5.269e-12 2.537e-01 2.537e-01 6.27e-10 4.73e-74 4.84e-51 2.03e-65 9.79e-01 9.79e-01 1.00e-01 52 36.1 6.243e-13 2.537e-01 2.537e-01 7.43e-11 7.46e-74 1.69e-50 9.11e-64 9.96e-01 9.96e-01 1.00e-01 53 36.8 6.487e-14 2.537e-01 2.537e-01 7.72e-12 4.68e-74 9.44e-51 5.47e-64 1.00e+00 1.00e+00 1.00e-01 54 37.4 6.499e-15 2.537e-01 2.537e-01 7.73e-13 7.39e-74 8.09e-51 1.28e-62 1.00e+00 1.00e+00 1.00e-01 55 38.0 6.501e-16 2.537e-01 2.537e-01 7.74e-14 7.54e-74 3.49e-51 9.41e-63 1.00e+00 1.00e+00 1.00e-01 56 38.7 6.502e-17 2.537e-01 2.537e-01 7.74e-15 5.32e-74 3.99e-51 1.45e-60 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 38.704699 seconds (50.91 M allocations: 3.198 GiB, 13.54% gc time, 0.63% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.25374042722106534372951300997889821207802704104740819928196701950006795041039360325113767381 Dual objective:0.25374042722106456993729589849232036933609442407989257641277772838821256987022860960230191572 duality gap:7.7379221711148657784274193261696751562286918929111185538054016499364883575809407391313226423e-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 0.7 5.015e+05 5.164e+02 3.088e+03 7.13e-01 3.47e+02 0.00e+00 1.12e+06 4.22e-01 6.07e-01 3.00e-01 3 0.8 3.499e+05 6.688e+02 8.065e+03 8.47e-01 2.00e+02 0.00e+00 4.38e+05 5.84e-01 4.21e-01 3.00e-01 4 1.1 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 1.5 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 1.6 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 1.9 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 2.1 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 2.3 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 2.6 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 2.9 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 3.1 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 3.3 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 3.5 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 3.6 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 3.8 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 4.2 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 4.4 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 4.7 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 4.9 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 5.0 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 5.2 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 5.5 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 5.7 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 5.9 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 6.1 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 6.3 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 6.5 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 6.7 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 6.9 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 7.2 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 7.4 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 7.434061 seconds (12.20 M allocations: 811.439 MiB, 21.67% gc time, 0.86% 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 0.1 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 0.2 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 0.2 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 0.211845 seconds (39.99 k allocations: 3.371 MiB, 72.09% 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.2 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 0.2 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 0.2 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 0.169852 seconds (43.78 k allocations: 3.555 MiB, 68.12% 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 0.0 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 0.0 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 0.0 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 0.0 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 0.202519 seconds (39.99 k allocations: 3.374 MiB, 76.02% 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.051613 seconds (12.26 k allocations: 1.036 MiB, 76.07% 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 0.019077 seconds (2.00 k allocations: 175.336 KiB, 87.48% 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 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.142153 seconds (39.99 k allocations: 3.374 MiB, 73.04% 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 Starting preprocessing... iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.3 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 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 2.4 5.691e-06 1.000e+00 1.000e+00 5.69e-06 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 31 2.4 5.692e-07 1.000e+00 1.000e+00 5.69e-07 4.91e-91 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 32 2.4 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 2.4 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 2.4 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 2.4 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 2.4 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 2.4 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 2.4 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 2.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 2.415523 seconds (425.38 k allocations: 26.515 MiB, 4.77% gc time, 94.01% 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 1.9 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 2.4 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 2.7 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 2.7 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 2.7 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 2.8 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 2.8 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 2.8 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 2.8 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 2.8 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 2.8 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 2.8 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 2.9 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 3.0 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 3.3 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 3.5 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 3.5 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 3.5 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 3.5 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 3.6 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 3.6 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 3.6 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 3.6 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 3.6 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 3.6 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 3.634272 seconds (549.51 k allocations: 35.336 MiB, 10.70% gc time, 22.41% 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.0 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.1 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 0.125490 seconds (40.03 k allocations: 3.372 MiB, 74.83% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective: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 0.2 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 0.3 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.4 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 0.4 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 0.4 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 0.4 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 0.4 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 0.4 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 0.4 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 0.4 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.547141 seconds (46.50 k allocations: 3.807 MiB, 23.35% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 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 4.48e-142 8.40e-01 1.00e+00 3.00e-01 6 0.3 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 2.38e-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 4.99e-142 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 7.54e-142 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 1.97e-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 5.82e-141 8.99e-01 1.00e+00 3.00e-01 11 0.4 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 2.79e-141 8.99e-01 1.00e+00 3.00e-01 12 0.4 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 1.15e-140 9.13e-01 1.00e+00 3.00e-01 13 0.4 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 3.71e-140 1.00e+00 1.00e+00 3.00e-01 14 0.4 1.007e+12 1.188e+02 1.410e+13 1.00e+00 9.55e-153 0.00e+00 8.63e-140 1.00e+00 1.00e+00 3.00e-01 15 0.4 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 1.92e-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 9.55e-153 0.00e+00 7.64e-143 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 4.71e-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 1.72e-144 1.00e+00 1.00e+00 1.00e-01 19 0.5 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 5.23e-145 1.00e+00 1.00e+00 1.00e-01 20 0.5 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 3.77e-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 9.55e-153 0.00e+00 3.91e-147 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 5.95e-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 4.10e-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 1.84e-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 1.55e-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 9.55e-153 0.00e+00 1.20e-150 9.15e-01 9.15e-01 1.00e-01 27 0.5 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 2.54e-151 9.82e-01 9.82e-01 1.00e-01 28 0.5 1.800e-01 2.389e+02 2.414e+02 5.25e-03 1.91e-152 0.00e+00 1.92e-150 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 8.07e-152 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 5.62e-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 9.08e-151 1.00e+00 1.00e+00 1.00e-01 32 0.6 2.035e-05 2.400e+02 2.400e+02 5.93e-07 1.91e-152 0.00e+00 5.08e-151 1.00e+00 1.00e+00 1.00e-01 33 0.6 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 2.92e-151 1.00e+00 1.00e+00 1.00e-01 34 0.6 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 2.04e-150 1.00e+00 1.00e+00 1.00e-01 35 0.6 2.035e-08 2.400e+02 2.400e+02 5.94e-10 9.55e-153 0.00e+00 9.26e-151 1.00e+00 1.00e+00 1.00e-01 36 0.6 2.036e-09 2.400e+02 2.400e+02 5.94e-11 9.55e-153 0.00e+00 4.34e-151 1.00e+00 1.00e+00 1.00e-01 37 0.6 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 9.41e-151 1.00e+00 1.00e+00 1.00e-01 38 0.7 2.036e-11 2.400e+02 2.400e+02 5.94e-13 1.91e-152 0.00e+00 7.45e-151 1.00e+00 1.00e+00 1.00e-01 39 0.7 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 5.15e-151 1.00e+00 1.00e+00 1.00e-01 40 0.7 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 4.06e-151 1.00e+00 1.00e+00 1.00e-01 41 0.7 2.037e-14 2.400e+02 2.400e+02 5.94e-16 9.55e-153 0.00e+00 2.23e-150 1.00e+00 1.00e+00 1.00e-01 42 0.7 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 7.48e-151 1.00e+00 1.00e+00 1.00e-01 43 0.7 2.037e-16 2.400e+02 2.400e+02 5.94e-18 1.91e-152 0.00e+00 1.56e-150 1.00e+00 1.00e+00 1.00e-01 44 0.7 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 5.09e-150 1.00e+00 1.00e+00 1.00e-01 45 0.7 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 1.15e-149 1.00e+00 1.00e+00 1.00e-01 46 0.8 2.038e-19 2.400e+02 2.400e+02 5.94e-21 9.55e-153 0.00e+00 6.01e-149 1.00e+00 1.00e+00 1.00e-01 47 0.8 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 9.83e-149 1.00e+00 1.00e+00 1.00e-01 48 0.8 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 7.91e-148 1.00e+00 1.00e+00 1.00e-01 49 0.8 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 1.06e-147 1.00e+00 1.00e+00 1.00e-01 50 0.8 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 4.31e-148 1.00e+00 1.00e+00 1.00e-01 51 0.8 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 2.33e-147 1.00e+00 1.00e+00 1.00e-01 52 0.8 2.039e-25 2.400e+02 2.400e+02 5.95e-27 1.91e-152 0.00e+00 3.42e-147 1.00e+00 1.00e+00 1.00e-01 53 0.8 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 1.16e-147 1.00e+00 1.00e+00 1.00e-01 54 0.8 2.039e-27 2.400e+02 2.400e+02 5.95e-29 1.91e-152 0.00e+00 6.38e-147 1.00e+00 1.00e+00 1.00e-01 55 0.9 2.039e-28 2.400e+02 2.400e+02 5.95e-30 1.91e-152 0.00e+00 5.36e-146 1.00e+00 1.00e+00 1.00e-01 56 0.9 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 2.12e-146 1.00e+00 1.00e+00 1.00e-01 57 0.9 2.040e-30 2.400e+02 2.400e+02 5.95e-32 1.91e-152 0.00e+00 3.01e-145 1.00e+00 1.00e+00 1.00e-01 58 0.9 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 3.30e-145 1.00e+00 1.00e+00 1.00e-01 59 0.9 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 5.84e-145 1.00e+00 1.00e+00 1.00e-01 60 0.9 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 3.24e-145 1.00e+00 1.00e+00 1.00e-01 61 0.9 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 2.65e-144 1.00e+00 1.00e+00 1.00e-01 62 0.9 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 6.03e-145 1.00e+00 1.00e+00 1.00e-01 63 1.0 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 1.69e-143 1.00e+00 1.00e+00 1.00e-01 64 1.0 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 2.30e-144 1.00e+00 1.00e+00 1.00e-01 65 1.0 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 6.37e-144 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.974429 seconds (913.48 k allocations: 56.853 MiB, 63.08% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291560657977592954676068930056657365766507090559292736250260762754729179769624855825621535541414701304349921585063 Dual objective:239.999999999999999999999999999999999999985708439342022407045323931069943342634268731018711477297479711385830012933045194239223435211807516532934948906865643 duality gap:5.95481694082399706444836205419027390239537001496829488307719778685931588473425594129943455038509900292142522864745162527866279410525842310637516314393690612e-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 (22.374328502s) ** ** Transforming the problem and the solution ** (6.943199506s) ** Projection the solution into the affine space ** Reducing the system from 7 columns to 7 columns Constructing the linear system... (7.824485393s) Preprocessing to get an integer system... (7.4889e-5s) Finding the pivots of A using RREF mod p... (0.000177459 7.8759e-5 s) Solving the system of size 7 x 7 using the pseudoinverse... 0.831095702s ** Finished projection into affine space (10.855623333s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.116080508) [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.4 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 0.8 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 1.0 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 1.2 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 1.5 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 1.7 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 1.9 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 2.1 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 2.4 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 2.8 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 2.9 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 3.2 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 3.4 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 3.6 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 3.9 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 4.1 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 4.3 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 4.8 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 5.1 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 5.3 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 5.5 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 5.7 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 5.9 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 6.2 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 6.4 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 6.9 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 7.1 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 7.3 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 7.5 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 7.6 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 7.7 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 7.9 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 8.0 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 8.5 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 8.7 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 8.9 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 9.1 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 9.3 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 9.5 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 9.8 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 10.0 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 10.5 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 10.7 2.020e-26 1.000e+01 1.000e+01 7.98e-26 9.12e-74 0.00e+00 1.15e-67 1.00e+00 1.00e+00 1.00e-01 44 10.9 2.020e-27 1.000e+01 1.000e+01 7.98e-27 7.13e-74 0.00e+00 3.77e-68 1.00e+00 1.00e+00 1.00e-01 45 11.1 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 11.3 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 11.5 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 11.530488 seconds (17.88 M allocations: 1.160 GiB, 23.35% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective: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 (7.792726638s) ** ** Transforming the problem and the solution ** (1.592313369s) ** Projection the solution into the affine space ** Reducing the system from 161 columns to 161 columns Constructing the linear system... (2.519345084s) Preprocessing to get an integer system... (0.016095411s) Finding the pivots of A using RREF mod p... (0.017531588 0.011374444 s) Solving the system of size 50 x 52 using the pseudoinverse... 0.330513036s ** Finished projection into affine space (4.014719899s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.192117245) 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 0.3 2.817e+19 3.102e+10 2.208e+11 7.54e-01 1.70e+09 0.00e+00 3.51e+10 6.85e-01 7.10e-01 3.00e-01 4 0.4 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 0.4 8.216e+18 2.178e+10 8.065e+11 9.47e-01 2.37e+08 0.00e+00 3.31e-78 7.69e-01 1.00e+00 3.00e-01 6 0.5 3.035e+18 5.560e+09 1.290e+12 9.91e-01 5.47e+07 0.00e+00 2.96e-77 8.01e-01 1.00e+00 3.00e-01 7 0.5 9.665e+17 1.150e+09 2.064e+12 9.99e-01 1.09e+07 0.00e+00 4.49e-77 8.65e-01 1.00e+00 3.00e-01 8 0.6 2.092e+17 1.573e+08 3.302e+12 1.00e+00 1.47e+06 0.00e+00 1.93e-76 8.98e-01 1.00e+00 3.00e-01 9 0.6 3.428e+16 1.603e+07 5.284e+12 1.00e+00 1.51e+05 0.00e+00 3.88e-77 8.88e-01 1.00e+00 3.00e-01 10 0.7 6.127e+15 1.797e+06 8.453e+12 1.00e+00 1.68e+04 0.00e+00 9.12e-77 8.99e-01 1.00e+00 3.00e-01 11 0.7 9.935e+14 1.816e+05 1.352e+13 1.00e+00 1.71e+03 0.00e+00 4.02e-77 8.93e-01 1.00e+00 3.00e-01 12 0.8 1.699e+14 1.946e+04 2.163e+13 1.00e+00 1.82e+02 0.00e+00 7.58e-76 9.00e-01 1.00e+00 3.00e-01 13 0.8 2.794e+13 2.009e+03 3.442e+13 1.00e+00 1.82e+01 0.00e+00 2.12e-75 8.98e-01 1.00e+00 3.00e-01 14 0.9 5.597e+12 2.662e+02 5.231e+13 1.00e+00 1.86e+00 0.00e+00 2.60e-75 8.79e-01 1.00e+00 3.00e-01 15 0.9 2.030e+12 9.171e+01 5.562e+13 1.00e+00 2.25e-01 0.00e+00 1.13e-75 7.97e-01 1.00e+00 3.00e-01 16 1.0 7.056e+11 7.350e+01 2.417e+13 1.00e+00 4.58e-02 0.00e+00 3.91e-76 8.24e-01 1.00e+00 3.00e-01 17 1.0 2.136e+11 7.073e+01 7.703e+12 1.00e+00 8.06e-03 0.00e+00 1.58e-76 1.00e+00 1.00e+00 3.00e-01 18 1.1 6.305e+10 6.979e+01 2.396e+12 1.00e+00 6.28e-89 0.00e+00 2.17e-75 1.00e+00 1.00e+00 3.00e-01 19 1.1 1.891e+10 6.985e+01 7.188e+11 1.00e+00 6.28e-89 0.00e+00 9.84e-75 9.94e-01 9.94e-01 1.00e-01 20 1.2 1.996e+09 6.986e+01 7.583e+10 1.00e+00 3.14e-89 0.00e+00 6.49e-77 1.00e+00 1.00e+00 1.00e-01 21 1.2 2.003e+08 6.986e+01 7.613e+09 1.00e+00 6.28e-89 0.00e+00 4.03e-77 1.00e+00 1.00e+00 1.00e-01 22 1.2 2.005e+07 6.987e+01 7.619e+08 1.00e+00 3.14e-89 0.00e+00 1.24e-78 1.00e+00 1.00e+00 1.00e-01 23 1.3 2.005e+06 6.987e+01 7.619e+07 1.00e+00 6.28e-89 0.00e+00 5.88e-80 1.00e+00 1.00e+00 1.00e-01 24 1.6 2.005e+05 6.988e+01 7.620e+06 1.00e+00 6.28e-89 0.00e+00 3.06e-80 1.00e+00 1.00e+00 1.00e-01 25 1.7 2.006e+04 6.988e+01 7.622e+05 1.00e+00 3.14e-89 0.00e+00 1.14e-81 1.00e+00 1.00e+00 1.00e-01 26 1.8 2.008e+03 6.989e+01 7.636e+04 9.98e-01 6.28e-89 0.00e+00 1.58e-82 9.99e-01 9.99e-01 1.00e-01 27 1.8 2.026e+02 6.998e+01 7.769e+03 9.82e-01 6.28e-89 0.00e+00 1.22e-83 9.90e-01 9.90e-01 1.00e-01 28 1.8 2.205e+01 7.086e+01 9.088e+02 8.55e-01 6.28e-89 0.00e+00 3.01e-84 9.26e-01 9.26e-01 1.00e-01 29 1.9 3.667e+00 7.788e+01 2.172e+02 4.72e-01 6.28e-89 0.00e+00 2.44e-84 8.10e-01 8.10e-01 1.00e-01 30 1.9 9.926e-01 1.015e+02 1.392e+02 1.57e-01 3.14e-89 0.00e+00 4.21e-84 6.72e-01 6.72e-01 1.00e-01 31 2.0 3.920e-01 1.120e+02 1.269e+02 6.23e-02 1.26e-88 0.00e+00 1.67e-84 8.04e-01 8.04e-01 1.00e-01 32 2.0 1.082e-01 1.179e+02 1.220e+02 1.71e-02 1.89e-88 0.00e+00 6.25e-85 8.72e-01 8.72e-01 1.00e-01 33 2.1 2.331e-02 1.195e+02 1.204e+02 3.69e-03 6.28e-89 0.00e+00 1.90e-84 9.67e-01 9.67e-01 1.00e-01 34 2.2 3.027e-03 1.199e+02 1.201e+02 4.79e-04 1.26e-88 0.00e+00 4.98e-84 9.83e-01 9.83e-01 1.00e-01 35 2.2 3.478e-04 1.200e+02 1.200e+02 5.51e-05 6.28e-89 0.00e+00 3.35e-84 9.94e-01 9.94e-01 1.00e-01 36 2.3 3.681e-05 1.200e+02 1.200e+02 5.83e-06 1.26e-88 0.00e+00 2.41e-84 9.99e-01 9.99e-01 1.00e-01 37 2.3 3.725e-06 1.200e+02 1.200e+02 5.90e-07 6.28e-89 0.00e+00 4.22e-85 1.00e+00 1.00e+00 1.00e-01 38 2.4 3.731e-07 1.200e+02 1.200e+02 5.91e-08 6.28e-89 0.00e+00 4.96e-84 1.00e+00 1.00e+00 1.00e-01 39 2.4 3.732e-08 1.200e+02 1.200e+02 5.91e-09 6.28e-89 0.00e+00 6.14e-85 1.00e+00 1.00e+00 1.00e-01 40 2.5 3.733e-09 1.200e+02 1.200e+02 5.91e-10 6.28e-89 0.00e+00 1.18e-84 1.00e+00 1.00e+00 1.00e-01 41 2.5 3.733e-10 1.200e+02 1.200e+02 5.91e-11 3.14e-89 0.00e+00 3.06e-84 1.00e+00 1.00e+00 1.00e-01 42 2.6 3.733e-11 1.200e+02 1.200e+02 5.91e-12 6.28e-89 0.00e+00 5.73e-84 1.00e+00 1.00e+00 1.00e-01 43 2.6 3.734e-12 1.200e+02 1.200e+02 5.91e-13 6.28e-89 0.00e+00 2.71e-84 1.00e+00 1.00e+00 1.00e-01 44 2.7 3.734e-13 1.200e+02 1.200e+02 5.91e-14 1.26e-88 0.00e+00 3.64e-85 1.00e+00 1.00e+00 1.00e-01 45 2.7 3.734e-14 1.200e+02 1.200e+02 5.91e-15 6.28e-89 0.00e+00 3.72e-84 1.00e+00 1.00e+00 1.00e-01 46 2.8 3.735e-15 1.200e+02 1.200e+02 5.91e-16 6.28e-89 0.00e+00 1.43e-83 1.00e+00 1.00e+00 1.00e-01 47 2.8 3.735e-16 1.200e+02 1.200e+02 5.91e-17 6.28e-89 0.00e+00 2.22e-83 1.00e+00 1.00e+00 1.00e-01 48 2.9 3.736e-17 1.200e+02 1.200e+02 5.91e-18 6.28e-89 0.00e+00 5.73e-83 1.00e+00 1.00e+00 1.00e-01 49 2.9 3.736e-18 1.200e+02 1.200e+02 5.92e-19 1.26e-88 0.00e+00 1.45e-82 1.00e+00 1.00e+00 1.00e-01 50 3.0 3.736e-19 1.200e+02 1.200e+02 5.92e-20 1.26e-88 0.00e+00 9.72e-83 1.00e+00 1.00e+00 1.00e-01 51 3.0 3.737e-20 1.200e+02 1.200e+02 5.92e-21 6.28e-89 0.00e+00 8.73e-83 1.00e+00 1.00e+00 1.00e-01 52 3.1 3.737e-21 1.200e+02 1.200e+02 5.92e-22 6.28e-89 0.00e+00 8.97e-82 1.00e+00 1.00e+00 1.00e-01 53 3.1 3.737e-22 1.200e+02 1.200e+02 5.92e-23 3.14e-89 0.00e+00 1.36e-81 1.00e+00 1.00e+00 1.00e-01 54 3.2 3.738e-23 1.200e+02 1.200e+02 5.92e-24 6.28e-89 0.00e+00 7.95e-81 1.00e+00 1.00e+00 1.00e-01 55 3.2 3.738e-24 1.200e+02 1.200e+02 5.92e-25 6.28e-89 0.00e+00 1.15e-80 1.00e+00 1.00e+00 1.00e-01 56 3.3 3.739e-25 1.200e+02 1.200e+02 5.92e-26 6.28e-89 0.00e+00 3.26e-81 1.00e+00 1.00e+00 1.00e-01 57 3.6 3.739e-26 1.200e+02 1.200e+02 5.92e-27 6.28e-89 0.00e+00 2.92e-80 1.00e+00 1.00e+00 1.00e-01 58 3.6 3.739e-27 1.200e+02 1.200e+02 5.92e-28 6.28e-89 0.00e+00 2.57e-80 1.00e+00 1.00e+00 1.00e-01 59 3.7 3.740e-28 1.200e+02 1.200e+02 5.92e-29 6.28e-89 0.00e+00 1.74e-79 1.00e+00 1.00e+00 1.00e-01 60 3.7 3.740e-29 1.200e+02 1.200e+02 5.92e-30 3.14e-89 0.00e+00 2.28e-79 1.00e+00 1.00e+00 1.00e-01 61 3.7 3.740e-30 1.200e+02 1.200e+02 5.92e-31 6.28e-89 0.00e+00 6.23e-79 1.00e+00 1.00e+00 1.00e-01 62 3.8 3.741e-31 1.200e+02 1.200e+02 5.92e-32 3.14e-89 0.00e+00 2.13e-78 1.00e+00 1.00e+00 1.00e-01 63 3.8 3.741e-32 1.200e+02 1.200e+02 5.92e-33 6.28e-89 0.00e+00 1.71e-78 1.00e+00 1.00e+00 1.00e-01 64 3.9 3.742e-33 1.200e+02 1.200e+02 5.92e-34 6.28e-89 0.00e+00 1.67e-78 1.00e+00 1.00e+00 1.00e-01 65 3.9 3.742e-34 1.200e+02 1.200e+02 5.92e-35 6.28e-89 0.00e+00 1.97e-78 1.00e+00 1.00e+00 1.00e-01 66 4.0 3.742e-35 1.200e+02 1.200e+02 5.93e-36 3.14e-89 0.00e+00 1.39e-77 1.00e+00 1.00e+00 1.00e-01 67 4.0 3.743e-36 1.200e+02 1.200e+02 5.93e-37 6.28e-89 0.00e+00 1.85e-77 1.00e+00 1.00e+00 1.00e-01 68 4.1 3.743e-37 1.200e+02 1.200e+02 5.93e-38 6.28e-89 0.00e+00 9.48e-77 1.00e+00 1.00e+00 1.00e-01 69 4.1 3.743e-38 1.200e+02 1.200e+02 5.93e-39 6.28e-89 0.00e+00 6.88e-77 1.00e+00 1.00e+00 1.00e-01 70 4.2 3.744e-39 1.200e+02 1.200e+02 5.93e-40 1.26e-88 0.00e+00 2.86e-76 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 4.163153 seconds (6.93 M allocations: 445.135 MiB, 34.23% gc time, 1.73% compilation time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:120.00000000000000000000000000000000000000599073730540359812481005961417692658989302548191855 Dual objective:119.99999999999999999999999999999999999999176273620507005257838616803050672593897611158515414 duality gap:5.9283337918056439776766214931959169378821029493139321160776747113317617725618261892320355143e-41 ** Starting computation of basis transformations ** Block 14 of size 1 x 1 Block 11 of size 1 x 1 Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 8 of size 1 x 1 Block 5 of size 1 x 1 Block 16 of size 1 x 1 Block 2 of size 1 x 1 Block 13 of size 1 x 1 Block 10 of size 1 x 1 Block 7 of size 1 x 1 Block 18 of size 1 x 1 Block 15 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 12 of size 1 x 1 Block 12 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 9 of size 1 x 1 Block 6 of size 1 x 1 Block 17 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 9 x 9 Block B has 6 kernel vectors. The maximum numerator and denominator are 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 (12.739974526s) ** ** Transforming the problem and the solution ** (2.455872666s) ** Projection the solution into the affine space ** Reducing the system from 26 columns to 26 columns Constructing the linear system... (3.279448564s) Computing an approximate solution in the extension field... (0.618831411s) Preprocessing to get an integer system... (0.004615497s) Finding the pivots of A using RREF mod p... (0.004876355 0.00333576 s) Solving the system of size 38 x 40 using the pseudoinverse... 0.020824287s ** Finished projection into affine space (5.593277352s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.144200288) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.2 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 0.2 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 0.2 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 0.2 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 7.62e-143 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 4.26e-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 3.89e-141 8.90e-01 1.00e+00 3.00e-01 8 0.3 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 3.46e-141 8.97e-01 1.00e+00 3.00e-01 9 0.3 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 4.05e-141 8.94e-01 1.00e+00 3.00e-01 10 0.3 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 1.90e-141 8.99e-01 1.00e+00 3.00e-01 11 0.3 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 3.25e-140 8.99e-01 1.00e+00 3.00e-01 12 0.3 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 4.83e-140 9.13e-01 1.00e+00 3.00e-01 13 0.3 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 5.36e-140 1.00e+00 1.00e+00 3.00e-01 14 0.3 1.007e+12 1.188e+02 1.410e+13 1.00e+00 9.55e-153 0.00e+00 2.33e-140 1.00e+00 1.00e+00 3.00e-01 15 0.4 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 9.23e-142 9.99e-01 9.99e-01 1.00e-01 16 0.4 3.062e+10 1.199e+02 4.287e+11 1.00e+00 9.55e-153 0.00e+00 9.66e-142 1.00e+00 1.00e+00 1.00e-01 17 0.4 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 3.39e-144 1.00e+00 1.00e+00 1.00e-01 18 0.4 3.063e+08 1.201e+02 4.288e+09 1.00e+00 1.19e-153 0.00e+00 2.25e-144 1.00e+00 1.00e+00 1.00e-01 19 0.4 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 4.37e-145 1.00e+00 1.00e+00 1.00e-01 20 0.4 3.064e+06 1.202e+02 4.289e+07 1.00e+00 9.55e-153 0.00e+00 6.85e-146 1.00e+00 1.00e+00 1.00e-01 21 0.4 3.064e+05 1.203e+02 4.290e+06 1.00e+00 9.55e-153 0.00e+00 2.37e-147 1.00e+00 1.00e+00 1.00e-01 22 0.4 3.065e+04 1.203e+02 4.292e+05 9.99e-01 1.91e-152 0.00e+00 4.97e-148 1.00e+00 1.00e+00 1.00e-01 23 0.5 3.075e+03 1.204e+02 4.317e+04 9.94e-01 9.55e-153 0.00e+00 2.06e-149 9.97e-01 9.97e-01 1.00e-01 24 0.5 3.167e+02 1.211e+02 4.554e+03 9.48e-01 4.77e-153 0.00e+00 6.40e-150 9.70e-01 9.70e-01 1.00e-01 25 0.5 4.021e+01 1.274e+02 6.904e+02 6.88e-01 9.55e-153 0.00e+00 1.55e-151 8.70e-01 8.70e-01 1.00e-01 26 0.5 8.743e+00 1.689e+02 2.913e+02 2.66e-01 1.91e-152 0.00e+00 1.85e-150 9.15e-01 9.15e-01 1.00e-01 27 0.5 1.547e+00 2.316e+02 2.532e+02 4.47e-02 1.91e-152 0.00e+00 2.12e-151 9.82e-01 9.82e-01 1.00e-01 28 0.6 1.800e-01 2.389e+02 2.414e+02 5.25e-03 9.55e-153 0.00e+00 2.25e-150 9.89e-01 9.89e-01 1.00e-01 29 0.9 1.986e-02 2.399e+02 2.401e+02 5.79e-04 1.91e-152 0.00e+00 1.95e-150 9.97e-01 9.97e-01 1.00e-01 30 0.9 2.030e-03 2.400e+02 2.400e+02 5.92e-05 1.91e-152 0.00e+00 5.46e-151 1.00e+00 1.00e+00 1.00e-01 31 0.9 2.034e-04 2.400e+02 2.400e+02 5.93e-06 1.91e-152 0.00e+00 2.76e-151 1.00e+00 1.00e+00 1.00e-01 32 1.0 2.035e-05 2.400e+02 2.400e+02 5.93e-07 9.55e-153 0.00e+00 2.39e-151 1.00e+00 1.00e+00 1.00e-01 33 1.0 2.035e-06 2.400e+02 2.400e+02 5.94e-08 1.91e-152 0.00e+00 1.97e-151 1.00e+00 1.00e+00 1.00e-01 34 1.0 2.035e-07 2.400e+02 2.400e+02 5.94e-09 1.91e-152 0.00e+00 3.11e-151 1.00e+00 1.00e+00 1.00e-01 35 1.0 2.035e-08 2.400e+02 2.400e+02 5.94e-10 1.91e-152 0.00e+00 1.33e-150 1.00e+00 1.00e+00 1.00e-01 36 1.0 2.036e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 1.61e-150 1.00e+00 1.00e+00 1.00e-01 37 1.0 2.036e-10 2.400e+02 2.400e+02 5.94e-12 1.91e-152 0.00e+00 6.51e-151 1.00e+00 1.00e+00 1.00e-01 38 1.0 2.036e-11 2.400e+02 2.400e+02 5.94e-13 9.55e-153 0.00e+00 1.32e-150 1.00e+00 1.00e+00 1.00e-01 39 1.0 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 5.88e-151 1.00e+00 1.00e+00 1.00e-01 40 1.1 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 7.58e-151 1.00e+00 1.00e+00 1.00e-01 41 1.1 2.037e-14 2.400e+02 2.400e+02 5.94e-16 1.91e-152 0.00e+00 3.77e-150 1.00e+00 1.00e+00 1.00e-01 42 1.1 2.037e-15 2.400e+02 2.400e+02 5.94e-17 1.91e-152 0.00e+00 4.09e-150 1.00e+00 1.00e+00 1.00e-01 43 1.1 2.037e-16 2.400e+02 2.400e+02 5.94e-18 1.91e-152 0.00e+00 1.94e-149 1.00e+00 1.00e+00 1.00e-01 44 1.1 2.037e-17 2.400e+02 2.400e+02 5.94e-19 1.91e-152 0.00e+00 1.05e-149 1.00e+00 1.00e+00 1.00e-01 45 1.1 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 2.58e-149 1.00e+00 1.00e+00 1.00e-01 46 1.1 2.038e-19 2.400e+02 2.400e+02 5.94e-21 1.91e-152 0.00e+00 3.59e-149 1.00e+00 1.00e+00 1.00e-01 47 1.2 2.038e-20 2.400e+02 2.400e+02 5.94e-22 1.91e-152 0.00e+00 1.21e-148 1.00e+00 1.00e+00 1.00e-01 48 1.2 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 1.03e-148 1.00e+00 1.00e+00 1.00e-01 49 1.2 2.038e-22 2.400e+02 2.400e+02 5.94e-24 1.91e-152 0.00e+00 8.62e-148 1.00e+00 1.00e+00 1.00e-01 50 1.2 2.038e-23 2.400e+02 2.400e+02 5.95e-25 1.91e-152 0.00e+00 2.42e-147 1.00e+00 1.00e+00 1.00e-01 51 1.2 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 6.06e-147 1.00e+00 1.00e+00 1.00e-01 52 1.2 2.039e-25 2.400e+02 2.400e+02 5.95e-27 4.33e-153 0.00e+00 1.01e-146 1.00e+00 1.00e+00 1.00e-01 53 1.2 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 4.53e-147 1.00e+00 1.00e+00 1.00e-01 54 1.3 2.039e-27 2.400e+02 2.400e+02 5.95e-29 3.82e-152 0.00e+00 9.87e-147 1.00e+00 1.00e+00 1.00e-01 55 1.3 2.039e-28 2.400e+02 2.400e+02 5.95e-30 3.82e-152 0.00e+00 1.88e-146 1.00e+00 1.00e+00 1.00e-01 56 1.3 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 2.92e-146 1.00e+00 1.00e+00 1.00e-01 57 1.3 2.040e-30 2.400e+02 2.400e+02 5.95e-32 9.55e-153 0.00e+00 5.76e-145 1.00e+00 1.00e+00 1.00e-01 58 1.3 2.040e-31 2.400e+02 2.400e+02 5.95e-33 1.91e-152 0.00e+00 1.16e-145 1.00e+00 1.00e+00 1.00e-01 59 1.3 2.040e-32 2.400e+02 2.400e+02 5.95e-34 1.91e-152 0.00e+00 9.23e-145 1.00e+00 1.00e+00 1.00e-01 60 1.3 2.040e-33 2.400e+02 2.400e+02 5.95e-35 1.91e-152 0.00e+00 1.19e-144 1.00e+00 1.00e+00 1.00e-01 61 1.3 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 5.30e-144 1.00e+00 1.00e+00 1.00e-01 62 1.4 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 2.53e-144 1.00e+00 1.00e+00 1.00e-01 63 1.4 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 1.42e-143 1.00e+00 1.00e+00 1.00e-01 64 1.4 2.041e-37 2.400e+02 2.400e+02 5.95e-39 1.91e-152 0.00e+00 3.44e-143 1.00e+00 1.00e+00 1.00e-01 65 1.4 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 4.94e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.394972 seconds (913.47 k allocations: 57.213 MiB, 67.60% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:240.000000000000000000000000000000000000014291376348911968971224666938734645152939292136233957082035314829883607078499073584613600840792492461220891164859663 Dual objective:239.999999999999999999999999999999999999985708623651088031028775333061265354847095945064156212651233664189398631033410796886099933647811631474127307080078537 duality gap:5.95474014537998707134361122447276881371736397334953008975034388343437000939339054171457280240631554035282794795125091129371028485047337374437810068289260476e-41 iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta 1 0.0 1.000e+20 1.000e+00 5.000e+10 1.00e+00 1.00e+10 0.00e+00 4.78e+10 6.47e-01 7.68e-01 3.00e-01 2 0.0 4.452e+19 9.876e+09 4.917e+10 6.66e-01 3.53e+09 0.00e+00 1.11e+10 7.56e-01 1.00e+00 3.00e-01 3 0.1 1.650e+19 7.446e+09 1.024e+11 8.64e-01 8.62e+08 0.00e+00 8.29e-79 8.44e-01 1.00e+00 3.00e-01 4 0.1 4.113e+18 8.652e+08 1.659e+11 9.90e-01 1.34e+08 0.00e+00 3.69e-79 8.90e-01 1.00e+00 3.00e-01 5 0.1 7.249e+17 1.033e+08 2.675e+11 9.99e-01 1.48e+07 0.00e+00 1.50e-78 8.93e-01 1.00e+00 3.00e-01 6 0.1 1.243e+17 1.043e+07 4.302e+11 1.00e+00 1.58e+06 0.00e+00 1.84e-78 8.95e-01 1.00e+00 3.00e-01 7 0.1 2.095e+16 1.151e+06 6.904e+11 1.00e+00 1.67e+05 0.00e+00 2.24e-78 8.96e-01 1.00e+00 3.00e-01 8 0.1 3.493e+15 1.156e+05 1.107e+12 1.00e+00 1.74e+04 0.00e+00 2.09e-78 8.97e-01 1.00e+00 3.00e-01 9 0.1 5.780e+14 1.233e+04 1.773e+12 1.00e+00 1.80e+03 0.00e+00 1.36e-77 8.97e-01 1.00e+00 3.00e-01 10 0.1 9.513e+13 1.239e+03 2.837e+12 1.00e+00 1.85e+02 0.00e+00 2.70e-78 9.00e-01 1.00e+00 3.00e-01 11 0.1 1.555e+13 1.320e+02 4.519e+12 1.00e+00 1.85e+01 0.00e+00 2.04e-77 9.06e-01 1.00e+00 3.00e-01 12 0.1 2.876e+12 1.774e+01 6.894e+12 1.00e+00 1.74e+00 0.00e+00 1.46e-77 9.63e-01 1.00e+00 3.00e-01 13 0.2 8.243e+11 6.641e+00 7.341e+12 1.00e+00 6.37e-02 0.00e+00 2.13e-77 1.00e+00 1.00e+00 3.00e-01 14 0.2 2.525e+11 6.501e+00 2.525e+12 1.00e+00 9.82e-91 0.00e+00 7.35e-78 1.00e+00 1.00e+00 3.00e-01 15 0.2 7.575e+10 6.597e+00 7.575e+11 1.00e+00 7.85e-90 0.00e+00 3.29e-78 1.00e+00 1.00e+00 1.00e-01 16 0.2 7.582e+09 6.607e+00 7.582e+10 1.00e+00 3.93e-90 0.00e+00 1.77e-78 1.00e+00 1.00e+00 1.00e-01 17 0.2 7.583e+08 6.615e+00 7.583e+09 1.00e+00 1.96e-90 0.00e+00 1.56e-80 1.00e+00 1.00e+00 1.00e-01 18 0.2 7.583e+07 6.623e+00 7.583e+08 1.00e+00 3.93e-90 0.00e+00 4.07e-81 1.00e+00 1.00e+00 1.00e-01 19 0.2 7.584e+06 6.629e+00 7.584e+07 1.00e+00 1.96e-90 0.00e+00 2.81e-82 1.00e+00 1.00e+00 1.00e-01 20 0.2 7.585e+05 6.635e+00 7.585e+06 1.00e+00 3.93e-90 0.00e+00 1.24e-82 1.00e+00 1.00e+00 1.00e-01 21 0.2 7.586e+04 6.641e+00 7.586e+05 1.00e+00 3.93e-90 0.00e+00 3.80e-84 1.00e+00 1.00e+00 1.00e-01 22 0.2 7.587e+03 6.646e+00 7.588e+04 1.00e+00 4.91e-91 0.00e+00 6.04e-85 1.00e+00 1.00e+00 1.00e-01 23 0.3 7.595e+02 6.651e+00 7.602e+03 9.98e-01 3.93e-90 0.00e+00 6.46e-86 9.99e-01 9.99e-01 1.00e-01 24 0.3 7.667e+01 6.662e+00 7.734e+02 9.83e-01 3.93e-90 0.00e+00 1.14e-86 9.90e-01 9.90e-01 1.00e-01 25 0.3 8.371e+00 6.736e+00 9.045e+01 8.61e-01 3.93e-90 0.00e+00 1.05e-87 9.21e-01 9.21e-01 1.00e-01 26 0.3 1.433e+00 7.334e+00 2.167e+01 4.94e-01 3.93e-90 0.00e+00 1.22e-88 8.84e-01 8.84e-01 1.00e-01 27 0.3 2.925e-01 1.016e+01 1.309e+01 1.26e-01 3.93e-90 0.00e+00 7.66e-89 9.45e-01 9.45e-01 1.00e-01 28 0.3 4.385e-02 1.181e+01 1.225e+01 1.82e-02 1.96e-90 0.00e+00 1.28e-89 9.76e-01 9.76e-01 1.00e-01 29 0.3 5.337e-03 1.197e+01 1.203e+01 2.22e-03 7.85e-90 0.00e+00 2.85e-89 9.89e-01 9.89e-01 1.00e-01 30 0.3 5.875e-04 1.200e+01 1.200e+01 2.45e-04 7.85e-90 0.00e+00 4.12e-89 9.98e-01 9.98e-01 1.00e-01 31 0.3 5.979e-05 1.200e+01 1.200e+01 2.49e-05 7.85e-90 0.00e+00 1.77e-89 1.00e+00 1.00e+00 1.00e-01 32 0.4 5.986e-06 1.200e+01 1.200e+01 2.49e-06 3.93e-90 0.00e+00 1.62e-89 1.00e+00 1.00e+00 1.00e-01 33 0.4 5.987e-07 1.200e+01 1.200e+01 2.49e-07 7.85e-90 0.00e+00 3.14e-89 1.00e+00 1.00e+00 1.00e-01 34 0.4 5.988e-08 1.200e+01 1.200e+01 2.49e-08 7.85e-90 0.00e+00 9.82e-90 1.00e+00 1.00e+00 1.00e-01 35 0.4 5.988e-09 1.200e+01 1.200e+01 2.50e-09 7.85e-90 0.00e+00 1.18e-89 1.00e+00 1.00e+00 1.00e-01 36 0.4 5.989e-10 1.200e+01 1.200e+01 2.50e-10 7.85e-90 0.00e+00 2.45e-89 1.00e+00 1.00e+00 1.00e-01 37 0.4 5.989e-11 1.200e+01 1.200e+01 2.50e-11 7.85e-90 0.00e+00 9.43e-89 1.00e+00 1.00e+00 1.00e-01 38 0.4 5.990e-12 1.200e+01 1.200e+01 2.50e-12 3.93e-90 0.00e+00 7.16e-88 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.991e-13 1.200e+01 1.200e+01 2.50e-13 7.85e-90 0.00e+00 8.91e-88 1.00e+00 1.00e+00 1.00e-01 40 0.4 5.991e-14 1.200e+01 1.200e+01 2.50e-14 7.85e-90 0.00e+00 1.40e-87 1.00e+00 1.00e+00 1.00e-01 41 0.4 5.992e-15 1.200e+01 1.200e+01 2.50e-15 7.85e-90 0.00e+00 1.47e-88 1.00e+00 1.00e+00 1.00e-01 42 0.5 5.992e-16 1.200e+01 1.200e+01 2.50e-16 7.85e-90 0.00e+00 9.14e-87 1.00e+00 1.00e+00 1.00e-01 43 0.5 5.993e-17 1.200e+01 1.200e+01 2.50e-17 7.85e-90 0.00e+00 9.24e-87 1.00e+00 1.00e+00 1.00e-01 44 0.5 5.994e-18 1.200e+01 1.200e+01 2.50e-18 7.85e-90 0.00e+00 1.34e-86 1.00e+00 1.00e+00 1.00e-01 45 0.5 5.994e-19 1.200e+01 1.200e+01 2.50e-19 1.96e-90 0.00e+00 1.95e-86 1.00e+00 1.00e+00 1.00e-01 46 0.5 5.995e-20 1.200e+01 1.200e+01 2.50e-20 7.85e-90 0.00e+00 1.44e-85 1.00e+00 1.00e+00 1.00e-01 47 0.5 5.995e-21 1.200e+01 1.200e+01 2.50e-21 3.93e-90 0.00e+00 2.83e-86 1.00e+00 1.00e+00 1.00e-01 48 0.5 5.996e-22 1.200e+01 1.200e+01 2.50e-22 7.85e-90 0.00e+00 1.61e-85 1.00e+00 1.00e+00 1.00e-01 49 0.5 5.997e-23 1.200e+01 1.200e+01 2.50e-23 7.85e-90 0.00e+00 1.32e-85 1.00e+00 1.00e+00 1.00e-01 50 0.5 5.997e-24 1.200e+01 1.200e+01 2.50e-24 1.96e-90 0.00e+00 7.56e-85 1.00e+00 1.00e+00 1.00e-01 51 0.6 5.998e-25 1.200e+01 1.200e+01 2.50e-25 3.93e-90 0.00e+00 3.65e-84 1.00e+00 1.00e+00 1.00e-01 52 0.6 5.998e-26 1.200e+01 1.200e+01 2.50e-26 7.85e-90 0.00e+00 1.26e-83 1.00e+00 1.00e+00 1.00e-01 53 0.6 5.999e-27 1.200e+01 1.200e+01 2.50e-27 7.85e-90 0.00e+00 6.84e-84 1.00e+00 1.00e+00 1.00e-01 54 0.6 6.000e-28 1.200e+01 1.200e+01 2.50e-28 7.85e-90 0.00e+00 2.85e-83 1.00e+00 1.00e+00 1.00e-01 55 0.6 6.000e-29 1.200e+01 1.200e+01 2.50e-29 3.93e-90 0.00e+00 3.41e-84 1.00e+00 1.00e+00 1.00e-01 56 0.6 6.001e-30 1.200e+01 1.200e+01 2.50e-30 1.96e-90 0.00e+00 2.87e-83 1.00e+00 1.00e+00 1.00e-01 57 0.6 6.001e-31 1.200e+01 1.200e+01 2.50e-31 7.85e-90 0.00e+00 1.78e-82 1.00e+00 1.00e+00 1.00e-01 58 0.6 6.002e-32 1.200e+01 1.200e+01 2.50e-32 7.85e-90 0.00e+00 1.83e-82 1.00e+00 1.00e+00 1.00e-01 59 0.6 6.003e-33 1.200e+01 1.200e+01 2.50e-33 3.93e-90 0.00e+00 2.43e-82 1.00e+00 1.00e+00 1.00e-01 60 0.6 6.003e-34 1.200e+01 1.200e+01 2.50e-34 1.96e-90 0.00e+00 1.87e-82 1.00e+00 1.00e+00 1.00e-01 61 0.7 6.004e-35 1.200e+01 1.200e+01 2.50e-35 3.93e-90 0.00e+00 8.71e-82 1.00e+00 1.00e+00 1.00e-01 62 0.7 6.004e-36 1.200e+01 1.200e+01 2.50e-36 3.93e-90 0.00e+00 3.00e-81 1.00e+00 1.00e+00 1.00e-01 63 0.7 6.005e-37 1.200e+01 1.200e+01 2.50e-37 3.93e-90 0.00e+00 3.55e-81 1.00e+00 1.00e+00 1.00e-01 64 0.7 6.006e-38 1.200e+01 1.200e+01 2.50e-38 7.85e-90 0.00e+00 3.39e-81 1.00e+00 1.00e+00 1.00e-01 65 0.7 6.006e-39 1.200e+01 1.200e+01 2.50e-39 3.93e-90 0.00e+00 1.84e-80 1.00e+00 1.00e+00 1.00e-01 66 0.7 6.007e-40 1.200e+01 1.200e+01 2.50e-40 7.85e-90 0.00e+00 3.80e-80 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.713633 seconds (513.05 k allocations: 29.067 MiB, 63.45% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:12.000000000000000000000000000000000000000300373171595261030832550663344713211552241583975986 Dual objective:11.99999999999999999999999999999999999999969962682840473896916744933665528678844809644440258 duality gap:2.5031097632938419236045888612059434296006047482225253249136428585916645938347560937480752772e-41 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 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.2 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.2 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.2 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.2 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.2 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.2 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.2 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.2 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.2 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.2 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 Optimal solution found 0.228403 seconds (29.72 k allocations: 2.506 MiB, 70.90% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.99999430959332074762241264103493690958191078016059970069118578797016591326959482886840732099 Dual objective:1.0000056917232783664168618795957630942296541062297238263434066200159819918602796704759580923 duality gap:5.6910649750629716725653531895521203715934961559556812974494539661322148717278336644744813047e-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 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 2 0.1 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 3 0.1 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 4 0.1 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 5 0.1 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 Optimal solution found 0.114806 seconds (5.14 k allocations: 443.430 KiB, 94.31% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:0.99999999994308276734591869854450801756997462405720826645797483571152231820250823595569243329 Dual objective:1.0000000000569172327836641686187959576309422965410622972382634340662001598199186027967047596 duality gap:5.6917232718872735033456220927127564054829911238314905483100315786757769497674986775152683752e-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. Starting preprocessing... ┌ Warning: 1 constraints were removed due to linear dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:347 ┌ Warning: 1 free variables were removed due to linear relations or dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:350 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+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 0.1 1.380e+01 1.000e+00 1.480e+01 8.73e-01 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 3.00e-01 3 0.1 4.140e+00 1.000e+00 5.140e+00 6.74e-01 4.91e-91 5.29e-91 0.00e+00 1.00e+00 1.00e+00 1.00e-01 4 0.1 4.140e-01 1.000e+00 1.414e+00 1.71e-01 0.00e+00 5.29e-91 1.96e-90 1.00e+00 1.00e+00 1.00e-01 5 0.1 4.140e-02 1.000e+00 1.041e+00 2.03e-02 4.91e-91 1.47e-91 2.45e-91 1.00e+00 1.00e+00 1.00e-01 6 0.1 4.140e-03 1.000e+00 1.004e+00 2.07e-03 0.00e+00 7.50e-91 9.20e-92 1.00e+00 1.00e+00 1.00e-01 7 0.1 4.140e-04 1.000e+00 1.000e+00 2.07e-04 4.91e-91 5.12e-91 3.45e-92 1.00e+00 1.00e+00 1.00e-01 8 0.2 4.140e-05 1.000e+00 1.000e+00 2.07e-05 4.91e-91 8.89e-91 1.53e-91 1.00e+00 1.00e+00 1.00e-01 9 0.2 4.140e-06 1.000e+00 1.000e+00 2.07e-06 4.91e-91 1.19e-90 2.56e-92 1.00e+00 1.00e+00 1.00e-01 10 0.2 4.140e-07 1.000e+00 1.000e+00 2.07e-07 4.91e-91 7.16e-91 1.62e-91 1.00e+00 1.00e+00 1.00e-01 11 0.2 4.140e-08 1.000e+00 1.000e+00 2.07e-08 0.00e+00 7.16e-91 3.80e-92 1.00e+00 1.00e+00 1.00e-01 12 0.2 4.140e-09 1.000e+00 1.000e+00 2.07e-09 0.00e+00 1.01e-90 2.14e-91 1.00e+00 1.00e+00 1.00e-01 13 0.2 4.140e-10 1.000e+00 1.000e+00 2.07e-10 4.91e-91 5.44e-91 2.01e-91 1.00e+00 1.00e+00 1.00e-01 14 0.2 4.140e-11 1.000e+00 1.000e+00 2.07e-11 4.91e-91 9.13e-91 3.82e-92 1.00e+00 1.00e+00 1.00e-01 15 0.2 4.140e-12 1.000e+00 1.000e+00 2.07e-12 0.00e+00 6.22e-91 3.35e-92 1.00e+00 1.00e+00 1.00e-01 16 0.2 4.140e-13 1.000e+00 1.000e+00 2.07e-13 0.00e+00 8.52e-91 1.45e-91 1.00e+00 1.00e+00 1.00e-01 17 0.2 4.140e-14 1.000e+00 1.000e+00 2.07e-14 0.00e+00 8.52e-91 1.38e-92 1.00e+00 1.00e+00 1.00e-01 18 0.2 4.140e-15 1.000e+00 1.000e+00 2.07e-15 0.00e+00 8.52e-91 9.93e-92 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.213371 seconds (15.30 k allocations: 1.413 MiB, 90.60% gc time) iter time(s) μ D-obj P-obj gap D-error d-error p-error α_d α_p beta Primal objective:1.0000000000000004140000000000003460565167756614277440739268718691623222337868937881208863466 Dual objective:1.0 duality gap:2.0700000000000013017925838783065110808099087400950558634328554779598197821302333976331542332e-16 ┌ Warning: Constraints which do not use SDP variables detected. Requires preprocessing the SDP to solve. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/interface.jl:914 Starting preprocessing... ┌ Warning: 2 constraints were removed due to linear dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:347 ┌ Warning: 2 free variables were removed due to linear relations or dependencies. └ @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:350 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+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 0.00e+00 0.00e+00 0.00e+00 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 4.91e-91 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 4.91e-91 1.00e+00 1.00e+00 1.00e-01 6 0.1 1.259e-02 1.237e+00 1.250e+00 5.06e-03 4.91e-91 0.00e+00 2.45e-91 1.00e+00 1.00e+00 1.00e-01 7 0.1 1.259e-03 1.249e+00 1.250e+00 5.04e-04 4.91e-91 0.00e+00 2.45e-91 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 2.45e-91 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 4.91e-91 1.00e+00 1.00e+00 1.00e-01 10 0.2 1.259e-06 1.250e+00 1.250e+00 5.03e-07 0.00e+00 0.00e+00 2.45e-91 1.00e+00 1.00e+00 1.00e-01 11 0.2 1.259e-07 1.250e+00 1.250e+00 5.03e-08 4.91e-91 0.00e+00 2.45e-91 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 2.45e-91 1.00e+00 1.00e+00 1.00e-01 13 0.2 1.259e-09 1.250e+00 1.250e+00 5.03e-10 4.91e-91 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 14 0.2 1.259e-10 1.250e+00 1.250e+00 5.03e-11 4.91e-91 0.00e+00 4.91e-91 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 0.00e+00 1.00e+00 1.00e+00 1.00e-01 16 0.2 1.259e-12 1.250e+00 1.250e+00 5.03e-13 4.91e-91 0.00e+00 2.45e-91 1.00e+00 1.00e+00 1.00e-01 17 0.2 1.259e-13 1.250e+00 1.250e+00 5.03e-14 4.91e-91 0.00e+00 4.91e-91 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 2.45e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.207041 seconds (15.03 k allocations: 1.397 MiB, 88.98% gc time) Linear dependencies: Error During Test at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests_solver.jl:260 Got exception outside of a @test MethodError: no method matching zero(::Core.TypeEgal{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(::Type{!Matched{Union{}}}, Any...) @ Base number.jl:365 ... Stacktrace: [1] zero(::Core.TypeEgal{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:1110 [3] _generic_matvecmul!(C::Vector{Any}, tA::Char, A::Matrix{BigFloat}, B::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1140 [inlined] [4] generic_matvecmul!(C::Vector{Any}, tA::Char, A::Matrix{BigFloat}, B::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1074 [inlined] [5] mul!(C::Vector{Any}, tA::Char, A::Matrix{BigFloat}, B::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:1066 [inlined] [6] _mul!(y::Vector{Any}, A::Matrix{BigFloat}, x::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:74 [inlined] [7] mul!(y::Vector{Any}, A::Matrix{BigFloat}, x::Vector{Any}, alpha::Bool, beta::Bool) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:71 [inlined] [8] mul!(C::Vector{Any}, A::Matrix{BigFloat}, B::Vector{Any}) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:281 [inlined] [9] *(A::Matrix{BigFloat}, x::Vector{Any}) @ LinearAlgebra /opt/julia/share/julia/stdlib/v1.14/LinearAlgebra/src/matmul.jl:61 [inlined] [10] add_dependent_freevars(y::Arblib.ArbRefMatrix, ::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}; T::Core.TypeEgal{BigFloat}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:319 [11] postprocess(x::Arblib.ArbRefMatrix, y::Arblib.ArbRefMatrix, Y::BlockDiagonals.BlockDiagonal{Arblib.ArbRef, BlockDiagonals.BlockDiagonal{Arblib.ArbRef, Arblib.ArbRefMatrix}}, cs::Vector{Tuple{Int64, Int64, Int64}}, cdual_recovery::Tuple{Tuple{Bool, LinearAlgebra.QRPackedQ{BigFloat, Matrix{BigFloat}, Vector{BigFloat}}, Matrix{BigFloat}, Vector{Int64}}, Matrix{BigFloat}}, var_rels::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}, dualobj::BigFloat, objsense::Bool; T::Core.TypeEgal{BigFloat}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:367 [inlined] [12] postprocess(x::Arblib.ArbRefMatrix, y::Arblib.ArbRefMatrix, Y::BlockDiagonals.BlockDiagonal{Arblib.ArbRef, BlockDiagonals.BlockDiagonal{Arblib.ArbRef, Arblib.ArbRefMatrix}}, cs::Vector{Tuple{Int64, Int64, Int64}}, cdual_recovery::Tuple{Tuple{Bool, LinearAlgebra.QRPackedQ{BigFloat, Matrix{BigFloat}, Vector{BigFloat}}, Matrix{BigFloat}, Vector{Int64}}, Matrix{BigFloat}}, var_rels::Tuple{Vector{Int64}, UnitRange{Int64}, Matrix{BigFloat}, Vector{BigFloat}, Vector{Int64}, Vector{Int64}}, dualobj::BigFloat, objsense::Bool) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/pre_postprocessing.jl:359 [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, iteration_callback::Nothing, solution_callback::Nothing, matmul_prec::Int64, testing::Bool) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/solver.jl:748 [14] solvesdp(problem::Problem; prec::Int64, kwargs::@Kwargs{omega_d::Int64, omega_p::Int64, preprocess::Bool}) @ ClusteredLowRankSolver ~/.julia/packages/ClusteredLowRankSolver/DUd0d/src/solver.jl:179 [inlined] [15] top-level scope @ ~/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests_solver.jl:6 [16] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2252 [inlined] [17] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests_solver.jl:261 [inlined] [18] macro expansion @ /opt/julia/share/julia/stdlib/v1.14/Test/src/Test.jl:2252 [inlined] [19] macro expansion @ ~/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests_solver.jl:272 [inlined] 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 0.1 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 0.2 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 0.3 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.3 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.3 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.3 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.3 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 0.4 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.4 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.367841 seconds (39.99 k allocations: 3.371 MiB, 86.01% 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 0.1 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 0.1 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 0.2 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 0.324980 seconds (39.99 k allocations: 3.371 MiB, 84.26% 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 0.1 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 0.2 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 0.00e+00 1.99e+02 1.00e+00 9.05e-01 3.00e-01 10 0.2 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 1.90e+01 1.00e+00 9.47e-01 3.00e-01 11 0.2 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e+00 3.00e-01 12 0.2 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 3.00e-01 13 0.2 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 14 0.2 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 15 0.2 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.2 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 0.3 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.3 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.3 1.090e+01 2.230e+01 5.026e-01 9.56e-01 0.00e+00 0.00e+00 0.00e+00 9.78e-01 9.78e-01 1.00e-01 24 0.3 1.302e+00 3.130e+00 5.247e-01 7.13e-01 0.00e+00 0.00e+00 1.47e-90 8.86e-01 8.86e-01 1.00e-01 25 0.3 2.642e-01 1.213e+00 6.845e-01 2.78e-01 0.00e+00 0.00e+00 4.91e-91 9.25e-01 9.25e-01 1.00e-01 26 0.3 4.423e-02 1.057e+00 9.685e-01 4.37e-02 9.82e-91 0.00e+00 9.82e-91 9.82e-01 9.82e-01 1.00e-01 27 0.3 5.135e-03 1.006e+00 9.954e-01 5.13e-03 4.91e-91 0.00e+00 9.82e-91 9.90e-01 9.90e-01 1.00e-01 28 0.3 5.586e-04 1.001e+00 9.995e-01 5.59e-04 4.91e-91 0.00e+00 1.47e-90 9.98e-01 9.98e-01 1.00e-01 29 0.3 5.683e-05 1.000e+00 9.999e-01 5.68e-05 9.82e-91 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 30 0.3 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 0.4 5.692e-08 1.000e+00 1.000e+00 5.69e-08 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 33 0.4 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.4 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.4 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.4 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.4 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.4 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.4 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.403076 seconds (42.91 k allocations: 3.507 MiB, 85.18% 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 Test Summary: | Pass Error Total Time ClusteredLowRankSolver.jl | 69 1 70 10m06.4s Examples | 9 9 4m17.8s Modelling | 2 2 10.2s Options | 3 3 11.7s Saving | 3 3 4.9s Warnings | 2 2 0.9s Rounding | 5 5 4m00.1s Warmstart | 1 1 11.4s SampledMPolyElem | 26 26 6.8s LowRankMat(Pol) | 2 2 2.2s SDPA format | 4 4 3.2s Checking | 4 4 9.8s Linear dependencies | 2 1 3 32.0s SolverResult | 4 4 1.1s Callbacks | 2 2 14.2s RNG of the outermost testset: Random.Xoshiro(0x7fe3cdd90382fedd, 0x304e7ba3e8f97122, 0xabda5a6c51148cfb, 0x1b53686d2be90eae, 0x2b5adfde873579ec) ERROR: LoadError: Some tests did not pass: 69 passed, 0 failed, 1 errored, 0 broken. in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests_solver.jl:4 in expression starting at /home/pkgeval/.julia/packages/ClusteredLowRankSolver/DUd0d/test/runtests.jl:2 Testing failed after 598.01s 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:3298 [3] 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:587 [4] 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 [5] test(pkgs::Vector{String}; kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:160 [6] test(pkg::String; kwargs::@Kwargs{julia_args::Cmd}) @ Pkg.API /opt/julia/share/julia/stdlib/v1.14/Pkg/src/API.jl:159 [inlined] [7] top-level scope @ /PkgEval.jl/scripts/evaluate.jl:223 in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 PkgEval failed after 1070.77s: package tests unexpectedly errored