Package evaluation to test ClusteredLowRankSolver on Julia 1.14.0-DEV.1730 (9c1e1fa299*) started at 2026-02-17T17:07:26.853 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 12.31s ################################################################################ # Installation # Installing ClusteredLowRankSolver... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [cadeb640] + ClusteredLowRankSolver v1.2.1 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.48.3 [fb37089c] + Arblib v1.7.0 [0a1fb500] + BlockDiagonals v0.2.0 [cadeb640] + ClusteredLowRankSolver v1.2.1 [861a8166] + Combinatorics v1.1.0 [ffbed154] + DocStringExtensions v0.9.5 [1a297f60] + FillArrays v1.16.0 [14197337] + GenericLinearAlgebra v0.3.19 [076d061b] + HashArrayMappedTries v0.2.0 [92d709cd] + IrrationalConstants v0.2.6 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.7.1 [0b1a1467] + KrylovKit v0.10.2 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.16 [2edaba10] + Nemo v0.54.1 [65ce6f38] + PackageExtensionCompat v1.0.2 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.1 [fb686558] + RandomExtensions v0.4.4 [af85af4c] + RowEchelon v0.2.1 [7e506255] + ScopedValues v1.5.0 [276daf66] + SpecialFunctions v2.7.1 [409d34a3] + VectorInterface v0.5.0 [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.30+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [56f22d72] + Artifacts v1.11.0 [ade2ca70] + Dates v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [fa267f1f] + TOML v1.0.3 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [3a97d323] + MPFR_jll v4.2.2+0 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Installation completed after 5.37s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 26580.3 ms ✓ Arblib 52501.2 ms ✓ ClusteredLowRankSolver 2 dependencies successfully precompiled in 81 seconds. 47 already precompiled. Precompilation completed after 100.83s ################################################################################ # Testing # Testing ClusteredLowRankSolver Status `/tmp/jl_mjrHP5/Project.toml` [c3fe647b] AbstractAlgebra v0.48.3 [cadeb640] ClusteredLowRankSolver v1.2.1 [2edaba10] Nemo v0.54.1 [1fd47b50] QuadGK v2.11.2 [276daf66] SpecialFunctions v2.7.1 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_mjrHP5/Manifest.toml` [c3fe647b] AbstractAlgebra v0.48.3 [fb37089c] Arblib v1.7.0 [0a1fb500] BlockDiagonals v0.2.0 [cadeb640] ClusteredLowRankSolver v1.2.1 [861a8166] Combinatorics v1.1.0 [864edb3b] DataStructures v0.19.3 [ffbed154] DocStringExtensions v0.9.5 [1a297f60] FillArrays v1.16.0 [14197337] GenericLinearAlgebra v0.3.19 [076d061b] HashArrayMappedTries v0.2.0 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.7.1 [0b1a1467] KrylovKit v0.10.2 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [2edaba10] Nemo v0.54.1 [bac558e1] OrderedCollections v1.8.1 [65ce6f38] PackageExtensionCompat v1.0.2 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.1 [1fd47b50] QuadGK v2.11.2 [fb686558] RandomExtensions v0.4.4 [af85af4c] RowEchelon v0.2.1 [7e506255] ScopedValues v1.5.0 [276daf66] SpecialFunctions v2.7.1 [409d34a3] VectorInterface v0.5.0 [e134572f] FLINT_jll v301.400.1+0 [656ef2d0] OpenBLAS32_jll v0.3.30+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.13.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.0.0 [9e88b42a] Serialization v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [fa267f1f] TOML v1.0.3 [8dfed614] Test v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [3a97d323] MPFR_jll v4.2.2+0 [4536629a] OpenBLAS_jll v0.3.30+0 [05823500] OpenLibm_jll v0.8.7+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [8e850b90] libblastrampoline_jll v5.15.0+0 Testing Running tests... iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 25.3 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.4 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 28.5 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 28.5 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 28.5 2.995e+12 1.720e+13 -1.811e+12 1.24e+00 9.79e-02 9.79e-12 1.97e-52 1.00e+00 1.00e+00 3.00e-01 21 28.5 8.988e+11 4.388e+12 -1.903e+12 2.53e+00 4.75e-65 0.00e+00 1.10e-51 1.00e+00 1.00e+00 3.00e-01 22 28.5 2.696e+11 1.339e+12 -5.487e+11 2.39e+00 1.90e-65 2.37e-66 1.38e-52 8.90e-01 8.90e-01 1.00e-01 23 28.5 5.361e+10 2.688e+11 -1.065e+11 2.31e+00 4.82e-66 1.78e-66 3.66e-53 8.70e-01 8.70e-01 1.00e-01 24 28.5 1.161e+10 5.819e+10 -2.310e+10 2.32e+00 5.93e-67 7.42e-68 3.46e-54 8.52e-01 8.52e-01 1.00e-01 25 28.5 2.713e+09 1.355e+10 -5.443e+09 2.34e+00 5.12e-67 7.42e-68 6.48e-55 8.36e-01 8.36e-01 1.00e-01 26 28.5 6.711e+08 3.370e+09 -1.328e+09 2.30e+00 3.25e-68 2.78e-68 1.10e-55 8.30e-01 8.30e-01 1.00e-01 27 28.5 1.696e+08 8.422e+08 -3.452e+08 2.39e+00 1.65e-68 4.64e-69 1.88e-56 8.10e-01 8.10e-01 1.00e-01 28 28.5 4.599e+07 2.340e+08 -8.791e+07 2.20e+00 3.48e-69 1.16e-69 3.59e-57 8.18e-01 8.18e-01 1.00e-01 29 28.5 1.213e+07 5.873e+07 -2.619e+07 2.61e+00 8.69e-70 9.42e-70 6.51e-58 7.63e-01 7.63e-01 1.00e-01 30 28.5 3.798e+06 2.001e+07 -6.576e+06 1.98e+00 2.90e-70 2.54e-70 1.54e-58 8.24e-01 8.24e-01 1.00e-01 31 28.5 9.800e+05 4.616e+06 -2.245e+06 2.89e+00 5.43e-71 5.43e-71 2.71e-59 7.75e-01 7.75e-01 1.00e-01 32 28.5 2.963e+05 1.559e+06 -5.151e+05 1.99e+00 1.58e-71 4.53e-72 6.09e-60 8.39e-01 8.39e-01 1.00e-01 33 28.5 7.263e+04 3.436e+05 -1.649e+05 2.85e+00 4.53e-72 0.00e+00 9.82e-61 7.97e-01 7.97e-01 1.00e-01 34 28.6 2.051e+04 1.063e+05 -3.733e+04 2.08e+00 1.47e-72 2.83e-73 1.99e-61 8.41e-01 8.41e-01 1.00e-01 35 28.6 4.988e+03 2.366e+04 -1.125e+04 2.81e+00 4.62e-73 1.06e-73 3.16e-62 8.01e-01 8.01e-01 1.00e-01 36 28.6 1.393e+03 7.141e+03 -2.612e+03 2.15e+00 6.63e-74 1.24e-73 6.31e-63 8.38e-01 8.38e-01 1.00e-01 37 28.6 3.422e+02 1.603e+03 -7.929e+02 2.96e+00 2.65e-74 1.11e-74 1.02e-63 7.97e-01 7.97e-01 1.00e-01 38 28.6 9.665e+01 4.860e+02 -1.905e+02 2.29e+00 5.80e-75 4.42e-75 2.07e-64 8.39e-01 8.39e-01 1.00e-01 39 28.6 2.366e+01 1.051e+02 -6.048e+01 3.71e+00 3.80e-75 1.31e-75 3.33e-65 8.03e-01 8.03e-01 1.00e-01 40 28.6 6.562e+00 2.998e+01 -1.595e+01 3.28e+00 1.05e-75 1.04e-76 6.56e-66 8.57e-01 8.57e-01 1.00e-01 41 28.6 1.499e+00 4.629e+00 -5.866e+00 8.49e+00 2.42e-76 3.45e-77 9.36e-67 8.75e-01 8.75e-01 1.00e-01 42 28.6 3.183e-01 -4.666e-01 -2.695e+00 7.05e-01 5.18e-77 1.73e-77 1.17e-67 9.64e-01 9.64e-01 1.00e-01 43 28.6 4.224e-02 -1.900e+00 -2.195e+00 7.22e-02 2.59e-77 3.45e-77 4.24e-69 9.83e-01 9.83e-01 1.00e-01 44 28.6 4.861e-03 -2.089e+00 -2.123e+00 8.08e-03 8.64e-78 4.32e-77 7.11e-71 9.97e-01 9.97e-01 1.00e-01 45 28.6 5.004e-04 -2.110e+00 -2.114e+00 8.29e-04 8.64e-78 1.73e-77 2.33e-73 9.99e-01 9.99e-01 1.00e-01 46 28.6 5.050e-05 -2.113e+00 -2.113e+00 8.37e-05 8.64e-78 8.64e-78 2.83e-75 1.00e+00 1.00e+00 1.00e-01 47 28.6 5.060e-06 -2.113e+00 -2.113e+00 8.38e-06 8.64e-78 2.59e-77 2.90e-75 1.00e+00 1.00e+00 1.00e-01 48 28.6 5.062e-07 -2.113e+00 -2.113e+00 8.39e-07 8.64e-78 0.00e+00 5.39e-75 1.00e+00 1.00e+00 1.00e-01 49 28.6 5.063e-08 -2.113e+00 -2.113e+00 8.39e-08 8.64e-78 8.64e-78 1.22e-74 1.00e+00 1.00e+00 1.00e-01 50 28.6 5.064e-09 -2.113e+00 -2.113e+00 8.39e-09 1.73e-77 0.00e+00 3.03e-74 1.00e+00 1.00e+00 1.00e-01 51 28.7 5.064e-10 -2.113e+00 -2.113e+00 8.39e-10 8.64e-78 2.59e-77 6.09e-74 1.00e+00 1.00e+00 1.00e-01 52 28.7 5.065e-11 -2.113e+00 -2.113e+00 8.39e-11 8.64e-78 2.59e-77 1.57e-73 1.00e+00 1.00e+00 1.00e-01 53 28.7 5.065e-12 -2.113e+00 -2.113e+00 8.39e-12 8.64e-78 1.73e-77 8.24e-74 1.00e+00 1.00e+00 1.00e-01 54 28.7 5.066e-13 -2.113e+00 -2.113e+00 8.39e-13 8.64e-78 1.73e-77 1.92e-73 1.00e+00 1.00e+00 1.00e-01 55 28.7 5.066e-14 -2.113e+00 -2.113e+00 8.39e-14 1.73e-77 8.64e-78 3.83e-73 1.00e+00 1.00e+00 1.00e-01 56 28.7 5.067e-15 -2.113e+00 -2.113e+00 8.39e-15 8.64e-78 2.59e-77 1.58e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 28.722464 seconds (3.91 M allocations: 234.649 MiB, 1.10% gc time, 98.27% compilation time: <1% of which was recompilation) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:-2.112913881423601867178487149978524345452304189561123615159645703054345900261013 Dual objective:-2.112913881423605414408712295917967961465972624341967951482460313570987257285197 Duality gap:8.394166596974473512000965499675444247416592631576249954357763140118989823275751e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.4 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 1.01e-65 8.20e-01 1.00e+00 3.00e-01 4 0.6 4.264e+18 4.397e+08 8.578e+11 9.99e-01 1.13e+08 1.13e-02 8.38e-65 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 1.76e-64 8.98e-01 1.00e+00 3.00e-01 6 0.7 1.198e+17 4.867e+06 2.189e+12 1.00e+00 1.24e+06 1.24e-04 3.42e-64 8.95e-01 1.00e+00 3.00e-01 7 0.7 2.010e+16 5.242e+05 3.499e+12 1.00e+00 1.30e+05 1.30e-05 4.42e-64 8.99e-01 1.00e+00 3.00e-01 8 0.8 3.262e+15 5.203e+04 5.596e+12 1.00e+00 1.32e+04 1.32e-06 9.16e-64 8.97e-01 1.00e+00 3.00e-01 9 0.9 5.394e+14 5.483e+03 8.950e+12 1.00e+00 1.37e+03 1.37e-07 9.40e-64 8.99e-01 1.00e+00 3.00e-01 10 1.4 8.742e+13 5.525e+02 1.430e+13 1.00e+00 1.38e+02 1.38e-08 1.32e-63 8.99e-01 1.00e+00 3.00e-01 11 1.4 1.453e+13 6.378e+01 2.266e+13 1.00e+00 1.40e+01 1.40e-09 2.20e-63 8.96e-01 1.00e+00 3.00e-01 12 1.5 2.995e+12 1.385e+01 3.308e+13 1.00e+00 1.45e+00 1.45e-10 4.86e-63 8.80e-01 1.00e+00 3.00e-01 13 1.5 1.001e+12 9.125e+00 2.897e+13 1.00e+00 1.74e-01 1.74e-11 5.10e-63 8.85e-01 1.00e+00 3.00e-01 14 1.6 3.229e+11 8.728e+00 1.226e+13 1.00e+00 2.01e-02 2.01e-12 6.22e-63 8.77e-01 1.00e+00 3.00e-01 15 1.6 9.802e+10 8.791e+00 3.989e+12 1.00e+00 2.47e-03 2.47e-13 9.89e-64 1.00e+00 1.00e+00 3.00e-01 16 1.7 2.964e+10 8.979e+00 1.245e+12 1.00e+00 8.64e-77 2.59e-77 2.11e-64 1.00e+00 1.00e+00 3.00e-01 17 1.8 8.892e+09 9.036e+00 3.735e+11 1.00e+00 5.18e-77 2.59e-77 1.42e-65 9.97e-01 9.97e-01 1.00e-01 18 1.8 9.112e+08 9.041e+00 3.827e+10 1.00e+00 3.45e-77 2.59e-77 1.01e-65 1.00e+00 1.00e+00 1.00e-01 19 1.9 9.114e+07 9.046e+00 3.828e+09 1.00e+00 6.91e-77 1.73e-77 2.70e-67 1.00e+00 1.00e+00 1.00e-01 20 1.9 9.115e+06 9.050e+00 3.828e+08 1.00e+00 5.18e-77 1.73e-77 7.42e-68 1.00e+00 1.00e+00 1.00e-01 21 2.0 9.116e+05 9.054e+00 3.829e+07 1.00e+00 6.91e-77 3.45e-77 3.68e-69 1.00e+00 1.00e+00 1.00e-01 22 2.0 9.117e+04 9.058e+00 3.829e+06 1.00e+00 5.18e-77 2.59e-77 1.45e-70 1.00e+00 1.00e+00 1.00e-01 23 2.1 9.118e+03 9.061e+00 3.829e+05 1.00e+00 6.91e-77 1.73e-77 3.75e-71 1.00e+00 1.00e+00 1.00e-01 24 2.2 9.119e+02 9.064e+00 3.831e+04 1.00e+00 4.32e-77 3.45e-77 7.36e-72 1.00e+00 1.00e+00 1.00e-01 25 2.6 9.150e+01 9.069e+00 3.852e+03 9.95e-01 5.18e-77 2.59e-77 7.07e-73 9.96e-01 9.96e-01 1.00e-01 26 2.7 9.450e+00 9.090e+00 4.060e+02 9.56e-01 5.18e-77 1.73e-77 3.54e-74 9.67e-01 9.67e-01 1.00e-01 27 2.7 1.226e+00 9.266e+00 6.076e+01 7.35e-01 4.32e-77 3.45e-77 2.76e-75 8.41e-01 8.41e-01 1.00e-01 28 2.8 2.984e-01 1.028e+01 2.281e+01 3.79e-01 3.45e-77 2.59e-77 1.75e-75 7.57e-01 7.57e-01 1.00e-01 29 2.8 9.520e-02 1.184e+01 1.584e+01 1.44e-01 5.18e-77 2.59e-77 5.95e-75 5.18e-01 5.18e-01 1.00e-01 30 2.9 5.085e-02 1.263e+01 1.477e+01 7.79e-02 5.18e-77 2.59e-77 1.22e-74 6.13e-01 6.13e-01 1.00e-01 31 3.0 2.281e-02 1.280e+01 1.376e+01 3.61e-02 6.69e-77 2.59e-77 4.06e-75 8.46e-01 8.46e-01 1.00e-01 32 3.0 5.435e-03 1.307e+01 1.330e+01 8.65e-03 6.71e-77 2.59e-77 1.14e-74 8.46e-01 8.46e-01 1.00e-01 33 3.1 1.296e-03 1.314e+01 1.319e+01 2.07e-03 8.64e-77 1.73e-77 8.10e-74 8.17e-01 8.17e-01 1.00e-01 34 3.1 3.428e-04 1.315e+01 1.317e+01 5.47e-04 5.81e-77 1.73e-77 4.94e-73 8.07e-01 8.07e-01 1.00e-01 35 3.2 9.373e-05 1.316e+01 1.316e+01 1.50e-04 6.91e-77 8.64e-78 1.28e-72 7.58e-01 7.58e-01 1.00e-01 36 3.2 2.978e-05 1.316e+01 1.316e+01 4.75e-05 3.45e-77 2.59e-77 1.14e-72 8.83e-01 8.83e-01 1.00e-01 37 3.3 6.117e-06 1.316e+01 1.316e+01 9.76e-06 6.91e-77 1.73e-77 1.14e-72 8.72e-01 8.72e-01 1.00e-01 38 3.4 1.315e-06 1.316e+01 1.316e+01 2.10e-06 6.91e-77 3.45e-77 9.42e-73 9.01e-01 9.01e-01 1.00e-01 39 3.5 2.487e-07 1.316e+01 1.316e+01 3.97e-07 6.91e-77 1.73e-77 3.03e-72 9.70e-01 9.70e-01 1.00e-01 40 3.9 3.166e-08 1.316e+01 1.316e+01 5.05e-08 6.91e-77 3.45e-77 1.09e-71 9.98e-01 9.98e-01 1.00e-01 41 4.0 3.233e-09 1.316e+01 1.316e+01 5.16e-09 6.91e-77 2.59e-77 6.27e-72 9.98e-01 9.98e-01 1.00e-01 42 4.0 3.293e-10 1.316e+01 1.316e+01 5.26e-10 5.65e-77 2.59e-77 1.39e-71 1.00e+00 1.00e+00 1.00e-01 43 4.1 3.302e-11 1.316e+01 1.316e+01 5.27e-11 6.91e-77 8.64e-78 6.35e-72 1.00e+00 1.00e+00 1.00e-01 44 4.1 3.303e-12 1.316e+01 1.316e+01 5.27e-12 4.51e-77 2.59e-77 9.81e-72 1.00e+00 1.00e+00 1.00e-01 45 4.2 3.303e-13 1.316e+01 1.316e+01 5.27e-13 6.91e-77 2.59e-77 1.27e-71 1.00e+00 1.00e+00 1.00e-01 46 4.3 3.303e-14 1.316e+01 1.316e+01 5.27e-14 5.18e-77 8.64e-78 1.02e-71 1.00e+00 1.00e+00 1.00e-01 47 4.3 3.304e-15 1.316e+01 1.316e+01 5.27e-15 6.91e-77 2.59e-77 3.70e-72 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 4.311499 seconds (5.53 M allocations: 369.989 MiB, 39.03% gc time, 6.19% compilation time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:13.15831434739029878096972062762557250033215262123043378120749050749523568727177 Dual objective:13.15831434739031265736974442787923533824695630407791557570651203067987966255183 Duality gap:5.272863855297835391883381330043821617290158958533311024770969366382578387914436e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.1 1.000e+20 1.585e-02 1.585e-02 0.00e+00 1.00e+10 3.02e+20 8.43e+10 7.03e-01 7.57e-01 3.00e-01 2 0.2 4.190e+19 -2.320e+10 -2.620e+08 9.78e-01 2.97e+09 8.99e+19 2.04e+10 7.89e-01 7.78e-01 3.00e-01 3 0.7 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 0.8 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 0.9 9.725e+17 -1.038e+11 1.515e+08 1.00e+00 2.01e+07 6.09e+17 2.16e+08 7.94e-01 7.63e-01 3.00e-01 6 1.0 3.020e+17 -1.438e+11 3.329e+09 1.05e+00 4.16e+06 1.26e+17 5.11e+07 7.09e-01 7.99e-01 3.00e-01 7 1.1 1.203e+17 -1.906e+11 1.626e+10 1.19e+00 1.21e+06 3.65e+16 1.03e+07 7.49e-01 8.14e-01 3.00e-01 8 1.2 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 1.3 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 1.4 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 1.5 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 1.6 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 1.7 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 1.7 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 1.8 4.247e+13 -1.546e+13 6.864e+11 1.09e+00 2.03e+01 6.13e+11 5.19e-48 8.97e-01 1.00e+00 3.00e-01 16 2.0 7.181e+12 -1.302e+13 1.093e+12 1.18e+00 2.08e+00 6.30e+10 2.63e-49 8.89e-01 1.00e+00 3.00e-01 17 2.4 1.329e+12 -3.359e+12 1.724e+12 3.11e+00 2.31e-01 6.99e+09 9.77e-48 8.33e-01 1.00e+00 3.00e-01 18 2.5 3.857e+11 -8.933e+11 2.306e+12 2.26e+00 3.86e-02 1.17e+09 9.92e-48 7.07e-01 1.00e+00 3.00e-01 19 2.6 1.766e+11 -3.434e+11 1.375e+12 1.67e+00 1.13e-02 3.42e+08 2.48e-48 8.44e-01 8.41e-01 3.00e-01 20 2.7 4.903e+10 -9.837e+10 7.115e+11 1.32e+00 1.77e-03 5.34e+07 2.81e-47 8.56e-01 1.00e+00 3.00e-01 21 2.8 1.622e+10 -2.672e+10 4.770e+11 1.12e+00 2.54e-04 7.67e+06 1.55e-48 7.71e-01 1.00e+00 3.00e-01 22 2.9 5.589e+09 -9.867e+09 1.839e+11 1.11e+00 5.81e-05 1.76e+06 1.03e-47 8.65e-01 8.10e-01 3.00e-01 23 3.0 2.102e+09 -2.786e+09 8.647e+10 1.07e+00 7.86e-06 2.38e+05 1.05e-47 7.54e-01 1.00e+00 3.00e-01 24 3.1 6.491e+08 -1.160e+09 2.539e+10 1.10e+00 1.93e-06 5.84e+04 1.22e-48 9.04e-01 9.19e-01 3.00e-01 25 3.2 2.210e+08 -2.876e+08 9.863e+09 1.06e+00 1.86e-07 5.62e+03 1.03e-48 9.41e-01 1.00e+00 3.00e-01 26 3.3 6.517e+07 -7.947e+07 3.067e+09 1.05e+00 1.11e-08 3.34e+02 1.04e-47 1.00e+00 1.00e+00 3.00e-01 27 3.4 1.954e+07 -1.955e+07 9.380e+08 1.04e+00 2.05e-63 1.03e-43 1.30e-47 1.00e+00 1.00e+00 3.00e-01 28 3.5 5.862e+06 -5.862e+06 2.814e+08 1.04e+00 1.25e-63 1.61e-43 8.03e-48 1.00e+00 1.00e+00 1.00e-01 29 3.6 5.873e+05 -5.873e+05 2.819e+07 1.04e+00 1.25e-63 9.31e-44 2.39e-49 1.00e+00 1.00e+00 1.00e-01 30 3.7 5.874e+04 -5.874e+04 2.819e+06 1.04e+00 9.24e-64 7.00e-44 1.11e-50 1.00e+00 1.00e+00 1.00e-01 31 4.2 5.874e+03 -5.874e+03 2.820e+05 1.04e+00 2.20e-63 3.20e-43 1.77e-52 1.00e+00 1.00e+00 1.00e-01 32 4.3 5.875e+02 -5.874e+02 2.820e+04 1.04e+00 1.50e-63 1.53e-43 1.52e-52 1.00e+00 1.00e+00 1.00e-01 33 4.4 5.876e+01 -5.866e+01 2.821e+03 1.04e+00 1.90e-63 7.54e-43 2.47e-53 1.00e+00 1.00e+00 1.00e-01 34 4.5 5.884e+00 -5.788e+00 2.825e+02 1.04e+00 1.32e-63 8.05e-44 9.16e-55 9.99e-01 9.99e-01 1.00e-01 35 4.5 5.954e-01 -4.995e-01 2.868e+01 1.04e+00 1.18e-63 1.41e-43 1.78e-55 9.88e-01 9.88e-01 1.00e-01 36 4.6 6.616e-02 3.259e-02 3.274e+00 9.80e-01 1.81e-63 7.58e-44 2.22e-55 9.22e-01 9.22e-01 1.00e-01 37 4.7 1.126e-02 1.068e-01 6.584e-01 5.52e-01 1.21e-63 1.08e-42 2.55e-56 8.48e-01 8.48e-01 1.00e-01 38 4.8 2.667e-03 1.882e-01 3.188e-01 1.31e-01 1.57e-63 5.34e-43 1.06e-55 8.38e-01 8.38e-01 1.00e-01 39 4.9 6.553e-04 2.394e-01 2.715e-01 3.21e-02 1.43e-63 1.13e-42 2.01e-56 8.06e-01 8.06e-01 1.00e-01 40 5.0 1.798e-04 2.495e-01 2.583e-01 8.81e-03 1.30e-63 1.48e-46 1.73e-56 8.23e-01 8.23e-01 1.00e-01 41 5.1 4.661e-05 2.526e-01 2.549e-01 2.28e-03 1.60e-63 5.90e-43 2.41e-56 7.89e-01 7.89e-01 1.00e-01 42 5.2 1.350e-05 2.534e-01 2.540e-01 6.61e-04 1.36e-63 1.63e-42 3.64e-55 7.75e-01 7.75e-01 1.00e-01 43 5.3 4.080e-06 2.536e-01 2.538e-01 2.00e-04 1.30e-63 6.83e-43 1.13e-55 7.61e-01 7.61e-01 1.00e-01 44 5.5 1.286e-06 2.537e-01 2.538e-01 6.30e-05 1.90e-63 2.68e-42 7.70e-55 9.61e-01 9.61e-01 1.00e-01 45 6.0 1.739e-07 2.537e-01 2.537e-01 8.52e-06 1.04e-63 2.83e-43 1.25e-54 9.60e-01 9.60e-01 1.00e-01 46 6.1 2.369e-08 2.537e-01 2.537e-01 1.16e-06 1.35e-63 1.01e-43 4.71e-55 9.77e-01 9.77e-01 1.00e-01 47 6.2 2.854e-09 2.537e-01 2.537e-01 1.40e-07 1.65e-63 8.01e-44 5.96e-55 9.93e-01 9.93e-01 1.00e-01 48 6.3 3.031e-10 2.537e-01 2.537e-01 1.49e-08 1.51e-63 2.10e-43 1.36e-54 9.99e-01 9.99e-01 1.00e-01 49 6.4 3.050e-11 2.537e-01 2.537e-01 1.49e-09 9.84e-64 3.98e-43 1.61e-54 1.00e+00 1.00e+00 1.00e-01 50 6.5 3.050e-12 2.537e-01 2.537e-01 1.49e-10 1.97e-63 1.19e-42 2.00e-54 1.00e+00 1.00e+00 1.00e-01 51 6.5 3.051e-13 2.537e-01 2.537e-01 1.49e-11 1.49e-63 4.00e-43 9.00e-55 1.00e+00 1.00e+00 1.00e-01 52 6.6 3.051e-14 2.537e-01 2.537e-01 1.50e-12 1.52e-63 8.80e-43 3.11e-55 1.00e+00 1.00e+00 1.00e-01 53 6.7 3.051e-15 2.537e-01 2.537e-01 1.50e-13 1.10e-63 1.58e-43 1.79e-54 1.00e+00 1.00e+00 1.00e-01 54 6.8 3.052e-16 2.537e-01 2.537e-01 1.50e-14 1.75e-63 4.85e-43 1.05e-54 1.00e+00 1.00e+00 1.00e-01 55 6.9 3.052e-17 2.537e-01 2.537e-01 1.50e-15 1.55e-63 1.96e-42 3.69e-55 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 6.938641 seconds (7.92 M allocations: 465.705 MiB, 29.85% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:0.2537404272210647350171951952118445682159441200798955032286263603598968550492937 Dual objective:0.2537404272210648845786287986546489675134936656619090101560546591910685681208426 Duality gap:1.495614336034428043992975495455820135069274282988311717130715489082217436307127e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 1.1 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 1.7 5.118e+19 7.190e+07 1.164e+10 9.88e-01 3.68e+09 3.68e-01 4.01e+10 6.36e-01 6.99e-01 3.00e-01 3 2.3 2.570e+19 6.028e+07 2.506e+10 9.95e-01 1.34e+09 1.34e-01 1.21e+10 7.82e-01 7.56e-01 3.00e-01 4 3.0 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 4.0 2.367e+18 3.547e+06 6.396e+10 1.00e+00 5.64e+07 5.64e-03 5.87e+08 8.04e-01 7.46e-01 3.00e-01 6 4.6 7.008e+17 8.038e+05 9.568e+10 1.00e+00 1.11e+07 1.11e-03 1.49e+08 8.14e-01 7.81e-01 3.00e-01 7 5.3 1.972e+17 1.837e+05 1.446e+11 1.00e+00 2.06e+06 2.06e-04 3.27e+07 7.79e-01 7.96e-01 3.00e-01 8 6.3 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 6.9 2.470e+16 1.204e+04 3.288e+11 1.00e+00 1.24e+05 1.24e-05 1.54e+06 7.29e-01 7.91e-01 3.00e-01 10 7.6 9.586e+15 3.109e+03 5.041e+11 1.00e+00 3.37e+04 3.37e-06 3.21e+05 7.58e-01 7.85e-01 3.00e-01 11 8.7 3.375e+15 7.627e+02 8.164e+11 1.00e+00 8.17e+03 8.17e-07 6.90e+04 6.24e-01 7.24e-01 3.00e-01 12 9.3 1.763e+15 3.251e+02 1.508e+12 1.00e+00 3.07e+03 3.07e-07 1.91e+04 5.66e-01 4.74e-01 3.00e-01 13 10.0 1.006e+15 3.029e+02 2.709e+12 1.00e+00 1.33e+03 1.33e-07 1.00e+04 6.70e-01 6.86e-01 3.00e-01 14 11.0 4.647e+14 3.925e+02 4.272e+12 1.00e+00 4.40e+02 4.40e-08 3.14e+03 5.67e-01 6.23e-01 3.00e-01 15 11.6 2.709e+14 6.587e+02 6.050e+12 1.00e+00 1.91e+02 1.91e-08 1.18e+03 4.25e-01 9.14e-01 3.00e-01 16 12.3 2.367e+14 6.300e+01 9.859e+12 1.00e+00 1.10e+02 1.10e-08 1.01e+02 7.83e-01 1.00e+00 3.00e-01 17 13.3 8.205e+13 7.894e+01 1.584e+13 1.00e+00 2.37e+01 2.37e-09 3.42e-58 8.13e-01 1.00e+00 3.00e-01 18 13.9 2.463e+13 1.886e+01 2.504e+13 1.00e+00 4.43e+00 4.43e-10 1.13e-57 8.84e-01 1.00e+00 3.00e-01 19 14.6 4.808e+12 2.447e+00 3.732e+13 1.00e+00 5.16e-01 5.16e-11 2.93e-57 8.88e-01 1.00e+00 3.00e-01 20 15.6 1.084e+12 3.495e-01 3.941e+13 1.00e+00 5.77e-02 5.77e-12 3.75e-57 8.56e-01 1.00e+00 3.00e-01 21 16.3 3.431e+11 1.295e-01 2.400e+13 1.00e+00 8.33e-03 8.33e-13 2.52e-57 8.25e-01 1.00e+00 3.00e-01 22 17.0 1.158e+11 9.545e-02 1.061e+13 1.00e+00 1.46e-03 1.46e-13 7.42e-58 8.40e-01 8.07e-01 3.00e-01 23 18.0 4.557e+10 8.306e-02 4.818e+12 1.00e+00 2.34e-04 2.34e-14 2.29e-58 7.20e-01 1.00e+00 3.00e-01 24 18.6 1.417e+10 8.217e-02 1.436e+12 1.00e+00 6.54e-05 6.54e-15 5.01e-60 8.96e-01 8.18e-01 3.00e-01 25 19.3 5.688e+09 7.650e-02 6.445e+11 1.00e+00 6.79e-06 6.79e-16 7.63e-59 9.34e-01 1.00e+00 3.00e-01 26 20.3 1.690e+09 7.658e-02 1.988e+11 1.00e+00 4.49e-07 4.49e-17 5.81e-59 1.00e+00 1.00e+00 3.00e-01 27 20.9 5.061e+08 7.648e-02 6.022e+10 1.00e+00 2.13e-74 1.91e-51 1.49e-58 1.00e+00 1.00e+00 3.00e-01 28 21.6 1.518e+08 7.648e-02 1.807e+10 1.00e+00 2.59e-74 5.63e-51 5.39e-59 1.00e+00 1.00e+00 1.00e-01 29 22.6 1.524e+07 7.648e-02 1.814e+09 1.00e+00 4.35e-74 3.24e-51 6.99e-60 1.00e+00 1.00e+00 1.00e-01 30 23.3 1.524e+06 7.649e-02 1.814e+08 1.00e+00 4.31e-74 5.36e-51 1.10e-61 1.00e+00 1.00e+00 1.00e-01 31 24.0 1.525e+05 7.649e-02 1.814e+07 1.00e+00 3.03e-74 4.69e-51 3.43e-62 1.00e+00 1.00e+00 1.00e-01 32 25.0 1.525e+04 7.649e-02 1.814e+06 1.00e+00 2.89e-74 1.86e-51 2.44e-63 1.00e+00 1.00e+00 1.00e-01 33 25.7 1.525e+03 7.649e-02 1.815e+05 1.00e+00 3.44e-74 6.55e-51 3.76e-64 1.00e+00 1.00e+00 1.00e-01 34 26.3 1.525e+02 7.649e-02 1.815e+04 1.00e+00 2.56e-74 3.42e-51 1.37e-65 1.00e+00 1.00e+00 1.00e-01 35 27.3 1.529e+01 7.653e-02 1.820e+03 1.00e+00 3.32e-74 3.61e-51 4.35e-66 9.97e-01 9.97e-01 1.00e-01 36 28.0 1.564e+00 7.692e-02 1.862e+02 9.99e-01 2.95e-74 1.00e-51 3.30e-67 9.76e-01 9.76e-01 1.00e-01 37 28.6 1.897e-01 8.062e-02 2.266e+01 9.93e-01 4.26e-74 3.13e-51 2.97e-68 8.77e-01 8.77e-01 1.00e-01 38 29.6 3.990e-02 1.073e-01 4.856e+00 9.57e-01 2.09e-74 3.40e-51 9.69e-69 9.21e-01 9.21e-01 1.00e-01 39 30.3 6.811e-03 1.612e-01 9.718e-01 7.15e-01 3.84e-74 7.44e-51 1.28e-68 8.71e-01 8.71e-01 1.00e-01 40 30.9 1.473e-03 2.059e-01 3.812e-01 1.75e-01 3.47e-74 3.94e-51 1.13e-68 8.63e-01 8.63e-01 1.00e-01 41 31.9 3.291e-04 2.437e-01 2.829e-01 3.92e-02 4.37e-74 6.16e-51 2.29e-69 8.93e-01 8.93e-01 1.00e-01 42 32.6 6.458e-05 2.517e-01 2.594e-01 7.69e-03 5.51e-74 1.07e-50 1.28e-69 8.48e-01 8.48e-01 1.00e-01 43 33.2 1.529e-05 2.532e-01 2.550e-01 1.82e-03 4.26e-74 5.51e-51 2.01e-67 8.38e-01 8.38e-01 1.00e-01 44 34.2 3.758e-06 2.536e-01 2.540e-01 4.47e-04 5.27e-74 1.34e-50 1.22e-67 8.60e-01 8.60e-01 1.00e-01 45 34.9 8.506e-07 2.537e-01 2.538e-01 1.01e-04 4.14e-74 2.17e-51 2.05e-66 9.32e-01 9.32e-01 1.00e-01 46 35.5 1.372e-07 2.537e-01 2.538e-01 1.63e-05 4.73e-74 2.83e-51 2.78e-66 9.60e-01 9.60e-01 1.00e-01 47 36.5 1.861e-08 2.537e-01 2.537e-01 2.21e-06 5.70e-74 8.07e-51 7.30e-67 9.53e-01 9.53e-01 1.00e-01 48 37.2 2.646e-09 2.537e-01 2.537e-01 3.15e-07 4.19e-74 8.78e-51 7.54e-67 9.65e-01 9.65e-01 1.00e-01 49 37.9 3.469e-10 2.537e-01 2.537e-01 4.13e-08 3.44e-74 5.52e-51 5.81e-66 9.73e-01 9.73e-01 1.00e-01 50 38.9 4.314e-11 2.537e-01 2.537e-01 5.13e-09 4.07e-74 9.49e-51 8.29e-66 9.75e-01 9.75e-01 1.00e-01 51 39.5 5.269e-12 2.537e-01 2.537e-01 6.27e-10 5.58e-74 6.73e-51 1.63e-64 9.79e-01 9.79e-01 1.00e-01 52 40.2 6.243e-13 2.537e-01 2.537e-01 7.43e-11 3.12e-74 1.28e-50 9.35e-64 9.96e-01 9.96e-01 1.00e-01 53 41.2 6.487e-14 2.537e-01 2.537e-01 7.72e-12 4.50e-74 6.50e-51 4.55e-63 1.00e+00 1.00e+00 1.00e-01 54 41.8 6.499e-15 2.537e-01 2.537e-01 7.73e-13 7.16e-74 6.36e-51 2.63e-62 1.00e+00 1.00e+00 1.00e-01 55 42.5 6.500e-16 2.537e-01 2.537e-01 7.73e-14 5.82e-74 1.56e-50 3.76e-61 1.00e+00 1.00e+00 1.00e-01 56 43.5 6.501e-17 2.537e-01 2.537e-01 7.74e-15 3.24e-74 1.24e-50 1.54e-60 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 43.489836 seconds (50.93 M allocations: 3.282 GiB, 22.64% gc time, 0.55% compilation time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:0.25374042722106456998082810702189175144780061113056905159129374281985768515128351737526816417 Dual objective:0.2537404272210653436402162101607095080359066576982020969992711350916377956185472767297088111 Duality gap:7.7365938810313881775658810604656763304540797739227178011046726375935444064693796572092262703e-16 [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.8 1.000e+06 1.000e+00 5.001e+03 1.00e+00 1.00e+03 0.00e+00 2.36e+06 6.53e-01 5.28e-01 3.00e-01 2 1.0 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 1.3 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 1.6 2.030e+05 5.414e+02 1.758e+04 9.40e-01 8.32e+01 0.00e+00 2.54e+05 4.22e-01 9.53e-01 3.00e-01 5 2.2 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.4 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.7 1.728e+04 2.822e+01 1.690e+05 1.00e+00 1.88e+00 0.00e+00 2.28e-66 8.75e-01 1.00e+00 3.00e-01 8 2.9 4.993e+03 1.126e+01 1.883e+05 1.00e+00 2.35e-01 0.00e+00 5.52e-66 8.48e-01 9.86e-01 3.00e-01 9 3.1 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.4 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 4.0 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 4.3 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 4.5 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.8 1.654e+00 8.507e+00 1.392e+02 8.85e-01 1.00e-73 0.00e+00 3.59e-69 9.78e-01 9.78e-01 1.00e-01 15 5.0 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 5.3 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.9 1.245e-02 9.486e+00 1.047e+01 4.93e-02 3.84e-74 0.00e+00 2.62e-69 7.62e-01 7.62e-01 1.00e-01 18 6.1 3.917e-03 9.841e+00 1.015e+01 1.55e-02 6.66e-74 0.00e+00 6.69e-69 7.52e-01 7.52e-01 1.00e-01 19 6.4 1.267e-03 9.941e+00 1.004e+01 5.01e-03 1.18e-73 0.00e+00 3.31e-69 8.14e-01 8.14e-01 1.00e-01 20 6.6 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.9 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 7.1 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.8 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 8.0 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 8.2 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 8.5 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 8.7 2.017e-10 1.000e+01 1.000e+01 7.97e-10 1.09e-73 0.00e+00 9.03e-69 1.00e+00 1.00e+00 1.00e-01 28 9.0 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.6 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.8 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 10.1 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 10.3 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 10.310599 seconds (12.09 M allocations: 801.586 MiB, 31.92% gc time, 0.16% compilation time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:9.999999999999988697806312364629586633761075931040260493586399230528324306359606 Dual objective:10.0000000000000046419724074448082497942161656245626939603359779955727984532867 Duality gap:7.972083047540091986372085578494245942129327859993373175844167487250928694314984e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d 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 0.5 1.600e+19 1.600e+10 1.000e+09 8.82e-01 0.00e+00 0.00e+00 2.00e+09 1.00e+00 9.00e-01 3.00e-01 3 0.5 2.560e+18 2.560e+10 1.000e+08 9.92e-01 0.00e+00 0.00e+00 2.00e+08 1.00e+00 9.00e-01 3.00e-01 4 0.5 4.096e+17 4.096e+10 1.000e+07 1.00e+00 0.00e+00 0.00e+00 2.00e+07 1.00e+00 9.00e-01 3.00e-01 5 0.5 6.554e+16 6.554e+10 1.000e+06 1.00e+00 0.00e+00 0.00e+00 2.00e+06 1.00e+00 9.00e-01 3.00e-01 6 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 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 0.5 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 16 0.6 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 17 0.6 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 18 0.6 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 19 0.6 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.47e-90 1.00e+00 1.00e+00 1.00e-01 20 0.6 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.6 1.065e+03 2.131e+03 5.000e-01 1.00e+00 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 22 0.6 1.067e+02 2.140e+02 5.003e-01 9.95e-01 0.00e+00 0.00e+00 4.91e-91 9.98e-01 9.98e-01 1.00e-01 23 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.6 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 0.629127 seconds (32.31 k allocations: 3.054 MiB, 91.80% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 Dual objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d 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 0.1 1.049e+16 1.049e+11 1.000e+05 1.00e+00 0.00e+00 0.00e+00 1.00e+05 1.00e+00 9.00e-01 3.00e-01 7 0.1 1.678e+15 1.678e+11 1.000e+04 1.00e+00 0.00e+00 0.00e+00 1.00e+04 1.00e+00 9.00e-01 3.00e-01 8 0.1 2.684e+14 2.684e+11 1.000e+03 1.00e+00 0.00e+00 0.00e+00 1.00e+03 1.00e+00 9.00e-01 3.00e-01 9 0.1 4.292e+13 4.292e+11 1.000e+02 1.00e+00 0.00e+00 2.70e-79 9.95e+01 1.00e+00 9.05e-01 3.00e-01 10 0.1 6.817e+12 6.817e+11 1.000e+01 1.00e+00 0.00e+00 0.00e+00 9.50e+00 1.00e+00 9.47e-01 3.00e-01 11 0.1 1.014e+12 1.014e+12 1.000e+00 1.00e+00 0.00e+00 0.00e+00 5.00e-01 1.00e+00 1.00e+00 3.00e-01 12 0.1 3.549e+11 7.098e+11 5.000e-01 1.00e+00 0.00e+00 5.40e-79 0.00e+00 1.00e+00 1.00e+00 3.00e-01 13 0.1 1.065e+11 2.130e+11 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 14 0.1 1.065e+10 2.130e+10 5.000e-01 1.00e+00 0.00e+00 1.35e-79 2.45e-91 1.00e+00 1.00e+00 1.00e-01 15 0.1 1.065e+09 2.130e+09 5.000e-01 1.00e+00 0.00e+00 1.69e-80 1.23e-90 1.00e+00 1.00e+00 1.00e-01 16 0.1 1.065e+08 2.130e+08 5.000e-01 1.00e+00 0.00e+00 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 17 0.1 1.065e+07 2.130e+07 5.000e-01 1.00e+00 0.00e+00 2.64e-82 1.23e-90 1.00e+00 1.00e+00 1.00e-01 18 0.1 1.065e+06 2.130e+06 5.000e-01 1.00e+00 0.00e+00 1.65e-83 9.82e-91 1.00e+00 1.00e+00 1.00e-01 19 0.1 1.065e+05 2.130e+05 5.000e-01 1.00e+00 0.00e+00 1.03e-84 7.36e-91 1.00e+00 1.00e+00 1.00e-01 20 0.1 1.065e+04 2.130e+04 5.000e-01 1.00e+00 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 21 0.1 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 0.1 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 0.1 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 0.1 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 0.164752 seconds (36.09 k allocations: 3.237 MiB, 73.22% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279658 Dual objective:0.99999999999999943082767216337127209759143460468258988906557772435476604996095098262648013301 Duality gap:5.6917232783663520704518407084868243898485833877975145389337569723019498653208233770743335244e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.7 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 0.7 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 0.7 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 0.7 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 0.7 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.8 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 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 0.9 5.692e-09 1.000e+00 1.000e+00 5.69e-09 4.91e-91 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 34 0.9 5.692e-10 1.000e+00 1.000e+00 5.69e-10 0.00e+00 0.00e+00 1.96e-90 1.00e+00 1.00e+00 1.00e-01 35 0.9 5.692e-11 1.000e+00 1.000e+00 5.69e-11 0.00e+00 0.00e+00 9.82e-91 1.00e+00 1.00e+00 1.00e-01 36 0.9 5.692e-12 1.000e+00 1.000e+00 5.69e-12 0.00e+00 0.00e+00 0.00e+00 1.00e+00 1.00e+00 1.00e-01 37 0.9 5.692e-13 1.000e+00 1.000e+00 5.69e-13 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 38 0.9 5.692e-14 1.000e+00 1.000e+00 5.69e-14 4.91e-91 0.00e+00 2.45e-90 1.00e+00 1.00e+00 1.00e-01 39 0.9 5.692e-15 1.000e+00 1.000e+00 5.69e-15 4.91e-91 0.00e+00 4.91e-91 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 0.918932 seconds (423.49 k allocations: 24.086 MiB, 16.11% gc time, 43.18% compilation time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 Dual objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d 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 0.1 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 0.2 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 0.156563 seconds (32.35 k allocations: 3.054 MiB, 71.44% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 Dual objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d 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 0.1 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 0.2 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 0.196011 seconds (37.73 k allocations: 3.296 MiB, 58.93% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:1.0000000000000005691723278366416861879595763094229654106229723826343406620015981991860279668 Dual objective:0.9999999999999994308276721633712720975914346046825898890655777243547660499609509826264801335 Duality gap:5.691723278366352070451840708486824389848583387797514538933756972301949865323277923806982379e-16 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.6 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 0.6 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 0.6 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 0.6 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 0.6 3.189e+18 1.238e+10 3.561e+11 9.33e-01 8.58e+07 0.00e+00 3.62e-142 8.40e-01 1.00e+00 3.00e-01 6 0.6 8.172e+17 2.052e+09 5.731e+11 9.93e-01 1.37e+07 0.00e+00 1.33e-141 8.95e-01 1.00e+00 3.00e-01 7 0.6 1.367e+17 2.121e+08 9.202e+11 1.00e+00 1.44e+06 0.00e+00 4.79e-141 8.90e-01 1.00e+00 3.00e-01 8 0.7 2.412e+16 2.361e+07 1.476e+12 1.00e+00 1.58e+05 0.00e+00 9.38e-142 8.97e-01 1.00e+00 3.00e-01 9 0.7 3.957e+15 2.403e+06 2.364e+12 1.00e+00 1.62e+04 0.00e+00 2.29e-141 8.94e-01 1.00e+00 3.00e-01 10 0.7 6.738e+14 2.573e+05 3.785e+12 1.00e+00 1.73e+03 0.00e+00 3.85e-141 8.99e-01 1.00e+00 3.00e-01 11 0.7 1.095e+14 2.604e+04 6.056e+12 1.00e+00 1.75e+02 0.00e+00 2.52e-141 8.99e-01 1.00e+00 3.00e-01 12 0.7 1.816e+13 2.738e+03 9.636e+12 1.00e+00 1.76e+01 0.00e+00 6.81e-141 9.13e-01 1.00e+00 3.00e-01 13 0.7 3.342e+12 3.449e+02 1.456e+13 1.00e+00 1.53e+00 0.00e+00 4.73e-140 1.00e+00 1.00e+00 3.00e-01 14 0.7 1.007e+12 1.188e+02 1.410e+13 1.00e+00 9.55e-153 0.00e+00 4.01e-140 1.00e+00 1.00e+00 3.00e-01 15 0.7 3.022e+11 1.198e+02 4.231e+12 1.00e+00 9.55e-153 0.00e+00 1.39e-141 9.99e-01 9.99e-01 1.00e-01 16 0.8 3.062e+10 1.199e+02 4.287e+11 1.00e+00 9.55e-153 0.00e+00 5.27e-142 1.00e+00 1.00e+00 1.00e-01 17 0.8 3.063e+09 1.200e+02 4.288e+10 1.00e+00 9.55e-153 0.00e+00 3.01e-143 1.00e+00 1.00e+00 1.00e-01 18 0.8 3.063e+08 1.201e+02 4.288e+09 1.00e+00 9.55e-153 0.00e+00 8.43e-144 1.00e+00 1.00e+00 1.00e-01 19 0.8 3.063e+07 1.202e+02 4.289e+08 1.00e+00 9.55e-153 0.00e+00 9.14e-145 1.00e+00 1.00e+00 1.00e-01 20 0.8 3.064e+06 1.202e+02 4.289e+07 1.00e+00 2.86e-152 0.00e+00 3.45e-146 1.00e+00 1.00e+00 1.00e-01 21 0.8 3.064e+05 1.203e+02 4.290e+06 1.00e+00 9.55e-153 0.00e+00 2.63e-147 1.00e+00 1.00e+00 1.00e-01 22 0.8 3.065e+04 1.203e+02 4.292e+05 9.99e-01 9.55e-153 0.00e+00 5.66e-148 1.00e+00 1.00e+00 1.00e-01 23 0.8 3.075e+03 1.204e+02 4.316e+04 9.94e-01 9.55e-153 0.00e+00 1.81e-149 9.97e-01 9.97e-01 1.00e-01 24 0.9 3.166e+02 1.211e+02 4.554e+03 9.48e-01 9.55e-153 0.00e+00 3.14e-150 9.70e-01 9.70e-01 1.00e-01 25 0.9 4.021e+01 1.274e+02 6.904e+02 6.88e-01 4.77e-153 0.00e+00 3.42e-150 8.70e-01 8.70e-01 1.00e-01 26 0.9 8.743e+00 1.689e+02 2.913e+02 2.66e-01 3.82e-152 0.00e+00 1.92e-150 9.15e-01 9.15e-01 1.00e-01 27 0.9 1.547e+00 2.316e+02 2.532e+02 4.47e-02 3.82e-152 0.00e+00 3.49e-151 9.82e-01 9.82e-01 1.00e-01 28 0.9 1.800e-01 2.389e+02 2.414e+02 5.25e-03 1.91e-152 0.00e+00 1.08e-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 1.64e-151 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 5.77e-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 1.09e-150 1.00e+00 1.00e+00 1.00e-01 32 0.9 2.035e-05 2.400e+02 2.400e+02 5.93e-07 1.91e-152 0.00e+00 8.46e-151 1.00e+00 1.00e+00 1.00e-01 33 1.0 2.035e-06 2.400e+02 2.400e+02 5.93e-08 1.91e-152 0.00e+00 8.04e-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 8.40e-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 2.87e-151 1.00e+00 1.00e+00 1.00e-01 36 1.0 2.035e-09 2.400e+02 2.400e+02 5.94e-11 1.91e-152 0.00e+00 2.49e-151 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 1.18e-150 1.00e+00 1.00e+00 1.00e-01 38 1.0 2.036e-11 2.400e+02 2.400e+02 5.94e-13 1.91e-152 0.00e+00 7.29e-151 1.00e+00 1.00e+00 1.00e-01 39 1.0 2.036e-12 2.400e+02 2.400e+02 5.94e-14 1.91e-152 0.00e+00 1.65e-150 1.00e+00 1.00e+00 1.00e-01 40 1.0 2.036e-13 2.400e+02 2.400e+02 5.94e-15 1.91e-152 0.00e+00 4.93e-150 1.00e+00 1.00e+00 1.00e-01 41 1.1 2.036e-14 2.400e+02 2.400e+02 5.94e-16 9.55e-153 0.00e+00 5.18e-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 3.12e-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 1.19e-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 7.00e-150 1.00e+00 1.00e+00 1.00e-01 45 1.1 2.037e-18 2.400e+02 2.400e+02 5.94e-20 1.91e-152 0.00e+00 8.31e-150 1.00e+00 1.00e+00 1.00e-01 46 1.1 2.037e-19 2.400e+02 2.400e+02 5.94e-21 3.82e-152 0.00e+00 6.83e-149 1.00e+00 1.00e+00 1.00e-01 47 1.1 2.038e-20 2.400e+02 2.400e+02 5.94e-22 3.82e-152 0.00e+00 7.37e-149 1.00e+00 1.00e+00 1.00e-01 48 1.1 2.038e-21 2.400e+02 2.400e+02 5.94e-23 1.91e-152 0.00e+00 8.94e-150 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 7.83e-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 4.04e-148 1.00e+00 1.00e+00 1.00e-01 51 1.2 2.039e-24 2.400e+02 2.400e+02 5.95e-26 1.91e-152 0.00e+00 8.01e-147 1.00e+00 1.00e+00 1.00e-01 52 1.2 2.039e-25 2.400e+02 2.400e+02 5.95e-27 3.82e-152 0.00e+00 2.72e-147 1.00e+00 1.00e+00 1.00e-01 53 1.2 2.039e-26 2.400e+02 2.400e+02 5.95e-28 1.91e-152 0.00e+00 2.27e-147 1.00e+00 1.00e+00 1.00e-01 54 1.2 2.039e-27 2.400e+02 2.400e+02 5.95e-29 1.91e-152 0.00e+00 3.54e-146 1.00e+00 1.00e+00 1.00e-01 55 1.2 2.039e-28 2.400e+02 2.400e+02 5.95e-30 1.91e-152 0.00e+00 5.66e-146 1.00e+00 1.00e+00 1.00e-01 56 1.2 2.040e-29 2.400e+02 2.400e+02 5.95e-31 1.91e-152 0.00e+00 8.50e-146 1.00e+00 1.00e+00 1.00e-01 57 1.2 2.040e-30 2.400e+02 2.400e+02 5.95e-32 1.91e-152 0.00e+00 3.30e-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 3.82e-152 0.00e+00 2.98e-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 1.81e-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 3.82e-152 0.00e+00 9.89e-145 1.00e+00 1.00e+00 1.00e-01 61 1.3 2.041e-34 2.400e+02 2.400e+02 5.95e-36 1.91e-152 0.00e+00 5.48e-144 1.00e+00 1.00e+00 1.00e-01 62 1.3 2.041e-35 2.400e+02 2.400e+02 5.95e-37 1.91e-152 0.00e+00 3.60e-144 1.00e+00 1.00e+00 1.00e-01 63 1.3 2.041e-36 2.400e+02 2.400e+02 5.95e-38 1.91e-152 0.00e+00 1.54e-143 1.00e+00 1.00e+00 1.00e-01 64 1.3 2.041e-37 2.400e+02 2.400e+02 5.95e-39 9.55e-153 0.00e+00 3.08e-144 1.00e+00 1.00e+00 1.00e-01 65 1.3 2.041e-38 2.400e+02 2.400e+02 5.95e-40 1.91e-152 0.00e+00 6.35e-143 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 1.345920 seconds (870.26 k allocations: 54.696 MiB, 67.10% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:239.999999999999999999999999999999999999985708957206178741456913953035358634126901194263661945310055328532805599776275759175770990263003527826332368069959944 Dual objective:240.000000000000000000000000000000000000014291042793821258543086046964641365873134041291902683977069666169022593315061602001139285038612929880521117596439404 Duality gap:5.95460116409219105961918623526723578046517646421682055562798700754520698724705015150656103121730553887775423453291807344318227857024890766884793314420561408e-41 ** Starting computation of basis transformations ** Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 5 of size 1 x 1 Block 2 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 6 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 3 x 3 Block B has 2 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block A of size 4 x 4 Block A has 4 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (10.488608s) ** ** Transforming the problem and the solution ** (6.333354312s) ** Projection the solution into the affine space ** Reducing the system from 7 columns to 7 columns Constructing the linear system... (8.509546196s) Preprocessing to get an integer system... (7.5099e-5s) Finding the pivots of A using RREF mod p... (0.000223348 8.1919e-5 s) Solving the system of size 7 x 7 using the pseudoinverse... 0.868914371s ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = xrational_to_field(x::Vector{Rational{BigInt}}, FF::QQField) at rounding.jl:1321 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:1321 ** Finished projection into affine space (14.054783597s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.178512313) [ Info: Creating the univariate constraint [ Info: Constructing trivariate constraint iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.2 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 0.4 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 1.5 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 1.8 1.588e+05 3.876e+02 6.630e+04 9.88e-01 4.81e+01 0.00e+00 1.18e+04 7.78e-01 1.00e+00 3.00e-01 6 2.0 5.705e+04 1.104e+02 1.123e+05 9.98e-01 1.07e+01 0.00e+00 1.48e-66 8.24e-01 1.00e+00 3.00e-01 7 2.2 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 2.5 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 2.7 1.681e+03 9.036e+00 9.790e+04 1.00e+00 3.57e-02 0.00e+00 7.51e-66 8.19e-01 1.00e+00 3.00e-01 10 3.0 5.450e+02 8.700e+00 3.672e+04 1.00e+00 6.44e-03 0.00e+00 8.72e-66 8.33e-01 1.00e+00 3.00e-01 11 3.3 1.723e+02 8.588e+00 1.271e+04 9.99e-01 1.08e-03 0.00e+00 2.04e-66 1.00e+00 1.00e+00 3.00e-01 12 4.0 5.146e+01 8.519e+00 4.074e+03 9.96e-01 5.20e-74 0.00e+00 7.08e-67 1.00e+00 1.00e+00 3.00e-01 13 4.2 1.544e+01 8.502e+00 1.228e+03 9.86e-01 2.29e-73 0.00e+00 6.45e-68 9.92e-01 9.92e-01 1.00e-01 14 4.5 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 4.7 1.981e-01 8.562e+00 2.421e+01 4.77e-01 1.01e-73 0.00e+00 7.83e-70 8.60e-01 8.60e-01 1.00e-01 16 4.9 4.484e-02 8.877e+00 1.242e+01 1.66e-01 2.90e-74 0.00e+00 1.47e-69 8.02e-01 8.02e-01 1.00e-01 17 5.2 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 5.4 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 5.7 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 6.4 3.392e-04 9.983e+00 1.001e+01 1.34e-03 8.40e-74 0.00e+00 1.46e-69 7.89e-01 7.89e-01 1.00e-01 21 6.7 9.835e-05 9.995e+00 1.000e+01 3.89e-04 7.24e-74 0.00e+00 1.46e-68 9.42e-01 9.42e-01 1.00e-01 22 6.9 1.496e-05 9.999e+00 1.000e+01 5.91e-05 3.65e-74 0.00e+00 2.52e-69 9.79e-01 9.79e-01 1.00e-01 23 7.1 1.780e-06 1.000e+01 1.000e+01 7.03e-06 7.52e-74 0.00e+00 3.80e-69 9.89e-01 9.89e-01 1.00e-01 24 7.4 1.951e-07 1.000e+01 1.000e+01 7.71e-07 8.62e-74 0.00e+00 2.24e-69 9.97e-01 9.97e-01 1.00e-01 25 7.6 2.009e-08 1.000e+01 1.000e+01 7.94e-08 1.56e-73 0.00e+00 3.53e-69 1.00e+00 1.00e+00 1.00e-01 26 7.8 2.016e-09 1.000e+01 1.000e+01 7.96e-09 5.40e-74 0.00e+00 6.76e-69 1.00e+00 1.00e+00 1.00e-01 27 8.1 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 8.9 2.017e-11 1.000e+01 1.000e+01 7.97e-11 1.24e-73 0.00e+00 1.27e-68 1.00e+00 1.00e+00 1.00e-01 29 9.1 2.017e-12 1.000e+01 1.000e+01 7.97e-12 9.29e-74 0.00e+00 7.65e-69 1.00e+00 1.00e+00 1.00e-01 30 9.3 2.018e-13 1.000e+01 1.000e+01 7.97e-13 1.40e-73 0.00e+00 7.01e-69 1.00e+00 1.00e+00 1.00e-01 31 9.6 2.018e-14 1.000e+01 1.000e+01 7.97e-14 2.87e-74 0.00e+00 1.05e-68 1.00e+00 1.00e+00 1.00e-01 32 9.8 2.018e-15 1.000e+01 1.000e+01 7.97e-15 1.25e-73 0.00e+00 1.16e-68 1.00e+00 1.00e+00 1.00e-01 33 10.0 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 10.3 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 10.6 2.019e-18 1.000e+01 1.000e+01 7.97e-18 1.53e-73 0.00e+00 1.01e-68 1.00e+00 1.00e+00 1.00e-01 36 11.3 2.019e-19 1.000e+01 1.000e+01 7.97e-19 2.09e-73 0.00e+00 7.46e-69 1.00e+00 1.00e+00 1.00e-01 37 11.5 2.019e-20 1.000e+01 1.000e+01 7.98e-20 7.79e-74 0.00e+00 1.06e-68 1.00e+00 1.00e+00 1.00e-01 38 11.8 2.019e-21 1.000e+01 1.000e+01 7.98e-21 1.18e-73 0.00e+00 5.27e-69 1.00e+00 1.00e+00 1.00e-01 39 12.0 2.019e-22 1.000e+01 1.000e+01 7.98e-22 3.59e-74 0.00e+00 1.50e-68 1.00e+00 1.00e+00 1.00e-01 40 12.2 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 12.5 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 12.7 2.020e-25 1.000e+01 1.000e+01 7.98e-25 1.82e-73 0.00e+00 7.06e-68 1.00e+00 1.00e+00 1.00e-01 43 13.0 2.020e-26 1.000e+01 1.000e+01 7.98e-26 9.12e-74 0.00e+00 1.15e-67 1.00e+00 1.00e+00 1.00e-01 44 13.7 2.020e-27 1.000e+01 1.000e+01 7.98e-27 7.13e-74 0.00e+00 3.77e-68 1.00e+00 1.00e+00 1.00e-01 45 14.0 2.021e-28 1.000e+01 1.000e+01 7.98e-28 2.41e-73 0.00e+00 3.80e-67 1.00e+00 1.00e+00 1.00e-01 46 14.2 2.021e-29 1.000e+01 1.000e+01 7.98e-29 1.08e-73 0.00e+00 2.58e-67 1.00e+00 1.00e+00 1.00e-01 47 14.4 2.021e-30 1.000e+01 1.000e+01 7.98e-30 1.40e-73 0.00e+00 6.93e-67 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 14.445894 seconds (17.72 M allocations: 1.147 GiB, 29.55% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:9.999999999999999999999999999988680840486164945127713739788275650369666256828954 Dual objective:10.0000000000000000000000000000046489405146108261082604283244516865152603560218 Duality gap:7.984050014222940490273344268090680840901830913002519384164968896587007525658183e-31 ** Starting computation of basis transformations ** Block (:trivariatesos, 2, 2) of size 1 x 1 Block (:F, 4) of size 1 x 1 Block (:F, 4) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 4, 3) of size 1 x 1 Block (:trivariatesos, 4, 1) of size 2 x 2 Block (:trivariatesos, 1, 2) of size 2 x 2 Block (:F, 3) of size 2 x 2 Block (:F, 3) has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block (:trivariatesos, 3, 3) of size 3 x 3 Block (:trivariatesos, 3, 3) has 1 kernel vectors. The maximum numerator and denominator are 7 and 6 After reduction, the maximum number of the basis transformation matrix is 7 Block (:F, 2) of size 3 x 3 Block (:F, 2) has 1 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 5, 3) of size 3 x 3 Block (:trivariatesos, 5, 3) has 2 kernel vectors. The maximum numerator and denominator are 1 and 2 After reduction, the maximum number of the basis transformation matrix is 2 Block (:trivariatesos, 3, 1) of size 4 x 4 Block (:trivariatesos, 3, 1) has 1 kernel vectors. The maximum numerator and denominator are 49 and 36 After reduction, the maximum number of the basis transformation matrix is 49 Block (:univariatesos, 2) of size 4 x 4 Block (:univariatesos, 2) has 1 kernel vectors. The maximum numerator and denominator are 22 and 27 After reduction, the maximum number of the basis transformation matrix is 27 Block (:trivariatesos, 5, 1) of size 4 x 4 Block (:trivariatesos, 5, 1) has 3 kernel vectors. The maximum numerator and denominator are 1 and 6 After reduction, the maximum number of the basis transformation matrix is 3 Block (:F, 1) of size 4 x 4 Block (:F, 0) of size 5 x 5 Block (:F, 0) has 1 kernel vectors. The maximum numerator and denominator are 23 and 144 After reduction, the maximum number of the basis transformation matrix is 144 Block (:univariatesos, 1) of size 5 x 5 Block (:univariatesos, 1) has 2 kernel vectors. The maximum numerator and denominator are 35 and 81 After reduction, the maximum number of the basis transformation matrix is 81 Block (:trivariatesos, 2, 3) of size 6 x 6 Block (:trivariatesos, 2, 3) has 2 kernel vectors. The maximum numerator and denominator are 13 and 36 After reduction, the maximum number of the basis transformation matrix is 36 Block (:trivariatesos, 2, 1) of size 7 x 7 Block (:trivariatesos, 2, 1) has 2 kernel vectors. The maximum numerator and denominator are 67 and 36 After reduction, the maximum number of the basis transformation matrix is 66 Block (:trivariatesos, 1, 3) of size 11 x 11 Block (:trivariatesos, 1, 3) has 2 kernel vectors. The maximum numerator and denominator are 67 and 72 After reduction, the maximum number of the basis transformation matrix is 72 Block (:trivariatesos, 1, 1) of size 11 x 11 Block (:trivariatesos, 1, 1) has 3 kernel vectors. The maximum numerator and denominator are 49 and 432 After reduction, the maximum number of the basis transformation matrix is 432 ** Finished computation of basis transformations (7.41221017s) ** ** Transforming the problem and the solution ** (1.693250373s) ** Projection the solution into the affine space ** Reducing the system from 161 columns to 161 columns Constructing the linear system... (2.943817085s) Preprocessing to get an integer system... (0.179040998s) Finding the pivots of A using RREF mod p... (0.011682169 0.009545259 s) Solving the system of size 50 x 52 using the pseudoinverse... 0.308841244s ** Finished projection into affine space (4.623389468s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.323265667) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.7 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 0.7 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 0.8 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 0.8 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 0.9 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 0.9 3.035e+18 5.560e+09 1.290e+12 9.91e-01 5.47e+07 0.00e+00 2.96e-77 8.01e-01 1.00e+00 3.00e-01 7 1.0 9.665e+17 1.150e+09 2.064e+12 9.99e-01 1.09e+07 0.00e+00 4.49e-77 8.65e-01 1.00e+00 3.00e-01 8 1.0 2.092e+17 1.573e+08 3.302e+12 1.00e+00 1.47e+06 0.00e+00 1.93e-76 8.98e-01 1.00e+00 3.00e-01 9 1.1 3.428e+16 1.603e+07 5.284e+12 1.00e+00 1.51e+05 0.00e+00 3.88e-77 8.88e-01 1.00e+00 3.00e-01 10 1.1 6.127e+15 1.797e+06 8.453e+12 1.00e+00 1.68e+04 0.00e+00 9.12e-77 8.99e-01 1.00e+00 3.00e-01 11 1.2 9.935e+14 1.816e+05 1.352e+13 1.00e+00 1.71e+03 0.00e+00 4.02e-77 8.93e-01 1.00e+00 3.00e-01 12 1.2 1.699e+14 1.946e+04 2.163e+13 1.00e+00 1.82e+02 0.00e+00 7.58e-76 9.00e-01 1.00e+00 3.00e-01 13 1.3 2.794e+13 2.009e+03 3.442e+13 1.00e+00 1.82e+01 0.00e+00 2.12e-75 8.98e-01 1.00e+00 3.00e-01 14 1.3 5.597e+12 2.662e+02 5.231e+13 1.00e+00 1.86e+00 0.00e+00 2.60e-75 8.79e-01 1.00e+00 3.00e-01 15 1.4 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 1.4 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 1.5 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 1.5 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 1.6 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 1.7 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 1.7 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 1.8 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 1.8 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 1.9 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 1.9 2.006e+04 6.988e+01 7.622e+05 1.00e+00 3.14e-89 0.00e+00 1.14e-81 1.00e+00 1.00e+00 1.00e-01 26 2.0 2.008e+03 6.989e+01 7.636e+04 9.98e-01 6.28e-89 0.00e+00 1.58e-82 9.99e-01 9.99e-01 1.00e-01 27 2.0 2.026e+02 6.998e+01 7.769e+03 9.82e-01 6.28e-89 0.00e+00 1.22e-83 9.90e-01 9.90e-01 1.00e-01 28 2.1 2.205e+01 7.086e+01 9.088e+02 8.55e-01 6.28e-89 0.00e+00 3.01e-84 9.26e-01 9.26e-01 1.00e-01 29 2.1 3.667e+00 7.788e+01 2.172e+02 4.72e-01 6.28e-89 0.00e+00 2.44e-84 8.10e-01 8.10e-01 1.00e-01 30 2.2 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 2.2 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 2.8 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 2.9 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 2.9 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 3.0 3.478e-04 1.200e+02 1.200e+02 5.51e-05 6.28e-89 0.00e+00 3.35e-84 9.94e-01 9.94e-01 1.00e-01 36 3.1 3.681e-05 1.200e+02 1.200e+02 5.83e-06 1.26e-88 0.00e+00 2.41e-84 9.99e-01 9.99e-01 1.00e-01 37 3.1 3.725e-06 1.200e+02 1.200e+02 5.90e-07 6.28e-89 0.00e+00 4.22e-85 1.00e+00 1.00e+00 1.00e-01 38 3.2 3.731e-07 1.200e+02 1.200e+02 5.91e-08 6.28e-89 0.00e+00 4.96e-84 1.00e+00 1.00e+00 1.00e-01 39 3.2 3.732e-08 1.200e+02 1.200e+02 5.91e-09 6.28e-89 0.00e+00 6.14e-85 1.00e+00 1.00e+00 1.00e-01 40 3.3 3.733e-09 1.200e+02 1.200e+02 5.91e-10 6.28e-89 0.00e+00 1.18e-84 1.00e+00 1.00e+00 1.00e-01 41 3.3 3.733e-10 1.200e+02 1.200e+02 5.91e-11 3.14e-89 0.00e+00 3.06e-84 1.00e+00 1.00e+00 1.00e-01 42 3.4 3.733e-11 1.200e+02 1.200e+02 5.91e-12 6.28e-89 0.00e+00 5.73e-84 1.00e+00 1.00e+00 1.00e-01 43 3.4 3.734e-12 1.200e+02 1.200e+02 5.91e-13 6.28e-89 0.00e+00 2.71e-84 1.00e+00 1.00e+00 1.00e-01 44 3.5 3.734e-13 1.200e+02 1.200e+02 5.91e-14 1.26e-88 0.00e+00 3.64e-85 1.00e+00 1.00e+00 1.00e-01 45 3.5 3.734e-14 1.200e+02 1.200e+02 5.91e-15 6.28e-89 0.00e+00 3.72e-84 1.00e+00 1.00e+00 1.00e-01 46 3.6 3.735e-15 1.200e+02 1.200e+02 5.91e-16 6.28e-89 0.00e+00 1.43e-83 1.00e+00 1.00e+00 1.00e-01 47 3.6 3.735e-16 1.200e+02 1.200e+02 5.91e-17 6.28e-89 0.00e+00 2.22e-83 1.00e+00 1.00e+00 1.00e-01 48 3.7 3.736e-17 1.200e+02 1.200e+02 5.91e-18 6.28e-89 0.00e+00 5.73e-83 1.00e+00 1.00e+00 1.00e-01 49 3.7 3.736e-18 1.200e+02 1.200e+02 5.92e-19 1.26e-88 0.00e+00 1.45e-82 1.00e+00 1.00e+00 1.00e-01 50 3.8 3.736e-19 1.200e+02 1.200e+02 5.92e-20 1.26e-88 0.00e+00 9.72e-83 1.00e+00 1.00e+00 1.00e-01 51 3.8 3.737e-20 1.200e+02 1.200e+02 5.92e-21 6.28e-89 0.00e+00 8.73e-83 1.00e+00 1.00e+00 1.00e-01 52 3.9 3.737e-21 1.200e+02 1.200e+02 5.92e-22 6.28e-89 0.00e+00 8.97e-82 1.00e+00 1.00e+00 1.00e-01 53 3.9 3.737e-22 1.200e+02 1.200e+02 5.92e-23 3.14e-89 0.00e+00 1.36e-81 1.00e+00 1.00e+00 1.00e-01 54 4.0 3.738e-23 1.200e+02 1.200e+02 5.92e-24 6.28e-89 0.00e+00 7.95e-81 1.00e+00 1.00e+00 1.00e-01 55 4.0 3.738e-24 1.200e+02 1.200e+02 5.92e-25 6.28e-89 0.00e+00 1.15e-80 1.00e+00 1.00e+00 1.00e-01 56 4.1 3.739e-25 1.200e+02 1.200e+02 5.92e-26 6.28e-89 0.00e+00 3.26e-81 1.00e+00 1.00e+00 1.00e-01 57 4.2 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 4.2 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 4.3 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 4.3 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 4.4 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 4.4 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 4.5 3.741e-32 1.200e+02 1.200e+02 5.92e-33 6.28e-89 0.00e+00 1.71e-78 1.00e+00 1.00e+00 1.00e-01 64 5.1 3.742e-33 1.200e+02 1.200e+02 5.92e-34 6.28e-89 0.00e+00 1.67e-78 1.00e+00 1.00e+00 1.00e-01 65 5.1 3.742e-34 1.200e+02 1.200e+02 5.92e-35 6.28e-89 0.00e+00 1.97e-78 1.00e+00 1.00e+00 1.00e-01 66 5.2 3.742e-35 1.200e+02 1.200e+02 5.93e-36 3.14e-89 0.00e+00 1.39e-77 1.00e+00 1.00e+00 1.00e-01 67 5.2 3.743e-36 1.200e+02 1.200e+02 5.93e-37 6.28e-89 0.00e+00 1.85e-77 1.00e+00 1.00e+00 1.00e-01 68 5.3 3.743e-37 1.200e+02 1.200e+02 5.93e-38 6.28e-89 0.00e+00 9.48e-77 1.00e+00 1.00e+00 1.00e-01 69 5.3 3.743e-38 1.200e+02 1.200e+02 5.93e-39 6.28e-89 0.00e+00 6.88e-77 1.00e+00 1.00e+00 1.00e-01 70 5.4 3.744e-39 1.200e+02 1.200e+02 5.93e-40 1.26e-88 0.00e+00 2.86e-76 1.00e+00 1.00e+00 1.00e-01 Optimal solution found 5.367620 seconds (6.70 M allocations: 432.217 MiB, 44.50% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:119.99999999999999999999999999999999999999176273620507005257838616803050672593897611158515414 Dual objective:120.00000000000000000000000000000000000000599073730540359812481005961417692658989302548191855 Duality gap:5.9283337918056439776766214931959169378821029493139321160776747113317617725618261892320355143e-41 ** Starting computation of basis transformations ** Block 14 of size 1 x 1 Block 11 of size 1 x 1 Block 0 of size 1 x 1 Block 0 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 8 of size 1 x 1 Block 5 of size 1 x 1 Block 16 of size 1 x 1 Block 2 of size 1 x 1 Block 13 of size 1 x 1 Block 10 of size 1 x 1 Block 7 of size 1 x 1 Block 18 of size 1 x 1 Block 15 of size 1 x 1 Block 4 of size 1 x 1 Block 1 of size 1 x 1 Block 12 of size 1 x 1 Block 12 has 1 kernel vectors. The maximum numerator and denominator are 1 and 1 After reduction, the maximum number of the basis transformation matrix is 1 Block 9 of size 1 x 1 Block 6 of size 1 x 1 Block 17 of size 1 x 1 Block 3 of size 1 x 1 Block B of size 9 x 9 Block B has 6 kernel vectors. The maximum numerator and denominator are 18 and 2 After reduction, the maximum number of the basis transformation matrix is 10 Block A of size 10 x 10 Block A has 8 kernel vectors. The maximum numerator and denominator are 12 and 1 After reduction, the maximum number of the basis transformation matrix is 1 ** Finished computation of basis transformations (14.258724324s) ** ** Transforming the problem and the solution ** (2.5901902970000004s) ** Projection the solution into the affine space ** Reducing the system from 26 columns to 26 columns Constructing the linear system... (2.234530992s) Computing an approximate solution in the extension field... (0.522079037s) Preprocessing to get an integer system... (0.004528428s) Finding the pivots of A using RREF mod p... (0.00326968 0.003787454 s) Solving the system of size 38 x 40 using the pseudoinverse... 0.021796258s ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = xrational_to_field(x::Vector{Rational{BigInt}}, FF::AbsSimpleNumField) at rounding.jl:1321 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:1321 ** Finished projection into affine space (4.733116789s) ** ** Checking feasibility ** The slacks are satisfied (checked or ensured by solving the system) Checking sdp constraints done (0.215982622) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta 1 0.1 1.000e+20 1.000e+00 7.000e+10 1.00e+00 1.00e+10 0.00e+00 7.05e+10 6.66e-01 6.95e-01 3.00e-01 2 0.1 4.559e+19 1.338e+10 7.193e+10 6.86e-01 3.34e+09 0.00e+00 2.15e+10 7.05e-01 7.53e-01 3.00e-01 3 0.1 1.822e+19 2.640e+10 9.901e+10 5.79e-01 9.85e+08 0.00e+00 5.31e+09 6.16e-01 7.88e-01 3.00e-01 4 0.2 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 0.2 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 0.2 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 0.2 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 0.3 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 0.3 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 0.3 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 0.3 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 1.1 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 1.1 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 1.1 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 1.1 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 1.1 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 1.1 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 1.2 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 1.2 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 1.2 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 1.2 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 1.2 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 1.2 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 1.2 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 1.3 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 1.3 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 1.3 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 1.3 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 1.3 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 1.3 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 1.3 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 1.3 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 1.4 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 1.4 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 1.4 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 1.4 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 1.4 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 1.4 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 1.4 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 1.5 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 1.5 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 1.5 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 1.5 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 1.5 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 1.5 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 1.5 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 1.6 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 1.6 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 1.6 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 1.6 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 1.6 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 1.6 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 1.6 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 1.6 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 1.7 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 1.7 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 1.668790 seconds (870.25 k allocations: 54.873 MiB, 71.95% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:239.999999999999999999999999999999999999985708623651088031028775333061265354847095945064156212651233664189398631033410796886099933647811631474127307080078537 Dual objective:240.000000000000000000000000000000000000014291376348911968971224666938734645152939292136233957082035314829883607078499073584613600840792492461220891164859663 Duality gap:5.95474014537998707134361122447276881371736397334953008975034388343437000939339054171457280240631554035282794795125091129371028485047337374437810068289260476e-41 iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d 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 0.3 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 0.4 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 0.5 5.998e-25 1.200e+01 1.200e+01 2.50e-25 3.93e-90 0.00e+00 3.65e-84 1.00e+00 1.00e+00 1.00e-01 52 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 0.705317 seconds (482.64 k allocations: 27.817 MiB, 62.02% gc time) iter time(s) μ P-obj D-obj gap P-error p-error d-error α_p α_d beta Primal objective:11.99999999999999999999999999999999999999969962682840473896916744933665528678844809644440258 Dual objective:12.000000000000000000000000000000000000000300373171595261030832550663344713211552241583975986 Duality gap:2.5031097632938419236045888612059434296006047482225253249136428585916645938347560937480752772e-41 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = detecteigenvectors(block::Matrix{BigFloat}, bits::Int64, errbound::Float64; FF::QQField, g::BigFloat) at rounding.jl:660 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:660 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = basis_transformations(primalsol::PrimalSolution{BigFloat}, sol::DualSolution{BigFloat}; FF::QQField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:767 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:767 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Vector{QQFieldElem}}; FF::QQField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:1021 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:1021 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Any}; FF::QQField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:1021 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:1021 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = detecteigenvectors(block::Matrix{BigFloat}, bits::Int64, errbound::Float64; FF::AbsSimpleNumField, g::BigFloat) at rounding.jl:675 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:675 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = basis_transformations(primalsol::PrimalSolution{BigFloat}, sol::DualSolution{BigFloat}; FF::AbsSimpleNumField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:767 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:767 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Vector{AbsSimpleNumFieldElem}}; FF::AbsSimpleNumField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:968 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:968 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Vector{AbsSimpleNumFieldElem}}; FF::AbsSimpleNumField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:971 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:971 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Any}; FF::AbsSimpleNumField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:968 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:968 ┌ Warning: `zeros(R::NCRing, r::Int...)` is deprecated, use `zero_matrix(R, r...)` instead. │ caller = simplify_kernelvectors(dm::Matrix{BigFloat}, finalvectors::Vector{Any}; FF::AbsSimpleNumField, g::BigFloat, settings::RoundingSettings, verbose::Bool) at rounding.jl:971 └ @ Core ~/.julia/packages/ClusteredLowRankSolver/PUwUL/src/rounding.jl:971 [ Info: Empty constraint found and removed. [ Info: Empty constraint found and removed. [ Info: The coefficient for the PSD variable 1 has an empty decomposition in a constraint, so we remove it from that constraint. [ Info: The matrix variable 1 is not used in any constraint and will be removed. Test Summary: | Pass Total Time ClusteredLowRankSolver.jl | 39 39 9m11.9s Testing ClusteredLowRankSolver tests passed Testing completed after 569.21s PkgEval succeeded after 708.46s