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1.4.0-DEV-082f446f52.log
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Julia Version 1.4.0-DEV.674
Commit 082f446f52 (2020-01-02 16:59 UTC)
Platform Info:
OS: Linux (x86_64-linux-gnu)
CPU: Intel(R) Xeon(R) Silver 4114 CPU @ 2.20GHz
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-8.0.1 (ORCJIT, skylake)
Environment:
JULIA_DEPOT_PATH = ::/usr/local/share/julia
Resolving package versions...
Installed IniFile ──────────── v0.5.0
Installed SCS ──────────────── v0.6.3
Installed CodecBzip2 ───────── v0.6.0
Installed Parsers ──────────── v0.3.10
Installed BenchmarkTools ───── v0.4.3
Installed MutableArithmetics ─ v0.2.0
Installed TranscodingStreams ─ v0.9.5
Installed MathProgBase ─────── v0.7.7
Installed JSONSchema ───────── v0.2.0
Installed Compat ───────────── v2.2.0
Installed OrderedCollections ─ v1.1.0
Installed JSON ─────────────── v0.21.0
Installed CodecZlib ────────── v0.6.0
Installed MathOptInterface ─── v0.9.9
Installed MbedTLS ──────────── v0.7.0
Installed HTTP ─────────────── v0.8.8
Installed BinaryProvider ───── v0.5.8
Updating `~/.julia/environments/v1.4/Project.toml`
[c946c3f1] + SCS v0.6.3
Updating `~/.julia/environments/v1.4/Manifest.toml`
[6e4b80f9] + BenchmarkTools v0.4.3
[b99e7846] + BinaryProvider v0.5.8
[523fee87] + CodecBzip2 v0.6.0
[944b1d66] + CodecZlib v0.6.0
[34da2185] + Compat v2.2.0
[cd3eb016] + HTTP v0.8.8
[83e8ac13] + IniFile v0.5.0
[682c06a0] + JSON v0.21.0
[7d188eb4] + JSONSchema v0.2.0
[b8f27783] + MathOptInterface v0.9.9
[fdba3010] + MathProgBase v0.7.7
[739be429] + MbedTLS v0.7.0
[d8a4904e] + MutableArithmetics v0.2.0
[bac558e1] + OrderedCollections v1.1.0
[69de0a69] + Parsers v0.3.10
[c946c3f1] + SCS v0.6.3
[3bb67fe8] + TranscodingStreams v0.9.5
[2a0f44e3] + Base64
[ade2ca70] + Dates
[8bb1440f] + DelimitedFiles
[8ba89e20] + Distributed
[b77e0a4c] + InteractiveUtils
[76f85450] + LibGit2
[8f399da3] + Libdl
[37e2e46d] + LinearAlgebra
[56ddb016] + Logging
[d6f4376e] + Markdown
[a63ad114] + Mmap
[44cfe95a] + Pkg
[de0858da] + Printf
[3fa0cd96] + REPL
[9a3f8284] + Random
[ea8e919c] + SHA
[9e88b42a] + Serialization
[1a1011a3] + SharedArrays
[6462fe0b] + Sockets
[2f01184e] + SparseArrays
[10745b16] + Statistics
[8dfed614] + Test
[cf7118a7] + UUIDs
[4ec0a83e] + Unicode
Building CodecZlib ─→ `~/.julia/packages/CodecZlib/5t9zO/deps/build.log`
Updating `/tmp/jl_X6wvsI/Project.toml`
[no changes]
Updating `/tmp/jl_X6wvsI/Manifest.toml`
[no changes]
Building MbedTLS ───→ `~/.julia/packages/MbedTLS/a1JFn/deps/build.log`
Updating `/tmp/jl_yvB8bE/Project.toml`
[no changes]
Updating `/tmp/jl_yvB8bE/Manifest.toml`
[no changes]
Building CodecBzip2 → `~/.julia/packages/CodecBzip2/T5yr7/deps/build.log`
Updating `/tmp/jl_JEJBQS/Project.toml`
[no changes]
Updating `/tmp/jl_JEJBQS/Manifest.toml`
[no changes]
Building SCS ───────→ `~/.julia/packages/SCS/pHU71/deps/build.log`
Updating `/tmp/jl_ISVofm/Project.toml`
[no changes]
Updating `/tmp/jl_ISVofm/Manifest.toml`
[no changes]
Testing SCS
Updating `/tmp/jl_rzZtsd/Project.toml`
[no changes]
Updating `/tmp/jl_rzZtsd/Manifest.toml`
[no changes]
Running sandbox
Status `/tmp/jl_rzZtsd/Project.toml`
[b99e7846] BinaryProvider v0.5.8
[34da2185] Compat v2.2.0
[b8f27783] MathOptInterface v0.9.9
[fdba3010] MathProgBase v0.7.7
[c946c3f1] SCS v0.6.3
[8f399da3] Libdl
[37e2e46d] LinearAlgebra
[2f01184e] SparseArrays
[8dfed614] Test
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-direct, nnz in A = 1
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 1.02e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 0.00e+00 9.19e+18 1.00e+00 0.00e+00 1.84e+19 1.60e+04 3.40e-05
4| 3.43e-14 1.01e-13 4.45e-14 1.00e+00 1.00e+00 2.34e-17 1.65e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.68e-04s
Lin-sys: nnz in L factor: 3, avg solve time: 7.12e-07s
Cones: avg projection time: 1.95e-07s
Acceleration: avg step time: 2.38e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.2781e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.4284e-14
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.0107e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.4483e-14
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-direct, nnz in A = 1012
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 4.09e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.64e+18 1.33e+18 9.93e-01 -3.44e+18 -1.15e+16 5.31e+20 5.62e-05
100| 4.77e-04 4.92e-03 2.20e-04 -2.61e+00 -2.61e+00 5.04e-16 4.72e-03
200| 3.53e-05 2.59e-04 1.11e-05 -2.61e+00 -2.61e+00 2.33e-16 9.09e-03
260| 4.80e-07 3.46e-06 6.28e-07 -2.61e+00 -2.61e+00 2.34e-17 1.17e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.17e-02s
Lin-sys: nnz in L factor: 1225, avg solve time: 1.28e-05s
Cones: avg projection time: 5.03e-07s
Acceleration: avg step time: 2.53e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.2630e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -2.7760e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.7981e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.4591e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.2833e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-direct, nnz in A = 162
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 24, constraints m = 71
Cones: primal zero / dual free vars: 10
linear vars: 10
soc vars: 6, soc blks: 5
exp vars: 30, dual exp vars: 15
Setup time: 2.60e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.82e+19 8.22e+19 1.00e+00 -1.34e+21 7.71e+20 1.57e+21 3.09e-04
60| 3.52e-06 5.75e-06 2.25e-06 1.49e+01 1.49e+01 5.57e-15 2.34e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.35e-02s
Lin-sys: nnz in L factor: 415, avg solve time: 1.28e-05s
Cones: avg projection time: 3.43e-04s
Acceleration: avg step time: 2.31e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 6.3120e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 2.2199e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.5248e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 5.7525e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.2526e-06
----------------------------------------------------------------------------
c'x = 14.9011, -b'y = 14.9010
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-direct, nnz in A = 66
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 15, constraints m = 46
Cones: primal zero / dual free vars: 3
linear vars: 3
soc vars: 9, soc blks: 3
sd vars: 19, sd blks: 3
exp vars: 6, dual exp vars: 6
Setup time: 2.35e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.78e+00 2.24e+00 9.31e-01 -5.73e+01 -1.58e+00 1.36e-14 3.28e-04
60| 2.18e-06 2.20e-06 9.99e-08 -1.02e+01 -1.02e+01 4.33e-16 9.12e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 9.13e-03s
Lin-sys: nnz in L factor: 154, avg solve time: 2.38e-06s
Cones: avg projection time: 1.26e-04s
Acceleration: avg step time: 1.71e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.6046e-09, dist(y, K*) = 2.1802e-09, s'y/|s||y| = -1.7781e-12
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.1796e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.1990e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 9.9910e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-direct, nnz in A = 25
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 9, constraints m = 28
Cones: primal zero / dual free vars: 5
linear vars: 5
primal + dual power vars: 18
Setup time: 1.03e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.74e+00 6.90e+00 9.65e-02 -4.87e+01 -5.92e+01 3.71e-14 7.55e-05
60| 5.03e-11 6.64e-11 8.63e-12 -3.73e+00 -3.73e+00 7.27e-15 2.89e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.90e-03s
Lin-sys: nnz in L factor: 71, avg solve time: 1.39e-06s
Cones: avg projection time:Test Summary: | Pass Total
direct.jl | 8 8
2.92e-05s
Acceleration: avg step time: 1.38e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.1689e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -6.3051e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.0334e-11
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.6397e-11
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 8.6320e-12
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7278
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 1, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 7.41e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.00e-01 5.17e+15 1.00e+00 0.00e+00 1.03e+16 1.00e+00 3.65e-05
4| 2.66e-16 2.66e-16 0.00e+00 1.00e+00 1.00e+00 1.60e-16 1.03e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.07e-04s
Lin-sys: avg # CG iterations: 0.80, avg solve time: 1.27e-06s
Cones: avg projection time: 2.01e-07s
Acceleration: avg step time: 8.14e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 9.7943e-20, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.6645e-16
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6645e-16
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 0.0000e+00
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 1012, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 2.86e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.64e+18 1.37e+18 9.94e-01 -3.42e+18 -1.10e+16 5.31e+20 1.64e-04
100| 1.16e-03 5.41e-03 2.27e-03 -2.61e+00 -2.63e+00 1.55e-16 9.43e-03
200| 4.27e-05 1.65e-04 2.70e-05 -2.61e+00 -2.61e+00 4.39e-16 1.79e-02
300| 6.33e-07 5.15e-06 1.31e-06 -2.61e+00 -2.61e+00 2.18e-16 2.54e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.54e-02s
Lin-sys: avg # CG iterations: 5.10, avg solve time: 4.91e-05s
Cones: avg projection time: 6.21e-07s
Acceleration: avg step time: 2.85e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 4.5754e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -6.9401e-19
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 6.3304e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 5.1466e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.3077e-06
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 162, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 24, constraints m = 71
Cones: primal zero / dual free vars: 10
linear vars: 10
soc vars: 6, soc blks: 5
exp vars: 30, dual exp vars: 15
Setup time: 1.23e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.81e+19 8.12e+19 1.00e+00 -1.30e+21 7.70e+20 1.46e+21 4.40e-04
80| 5.66e-07 1.36e-06 2.03e-09 1.49e+01 1.49e+01 2.20e-15 3.15e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.15e-02s
Lin-sys: avg # CG iterations: 4.53, avg solve time: 1.36e-05s
Cones: avg projection time: 3.44e-04s
Acceleration: avg step time: 2.49e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 6.6805e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.6591e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.3582e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.0333e-09
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9010
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 66, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 15, constraints m = 46
Cones: primal zero / dual free vars: 3
linear vars: 3
soc vars: 9, soc blks: 3
sd vars: 19, sd blks: 3
exp vars: 6, dual exp vars: 6
Setup time: 8.93e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.80e+00 2.15e+00 9.34e-01 -5.74e+01 -1.49e+00 1.36e-14 3.01e-04
100| 2.11e-06 7.37e-06 5.66e-06 -1.02e+01 -1.02e+01 1.62e-15 1.75e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.75e-02s
Lin-sys: avg # CG iterations: 4.59, avg solve time: 7.94e-06s
Cones: avg projection time: 1.43e-04s
Acceleration: avg step time: 1.85e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.6281e-09, dist(y, K*) = 2.3000e-09, s'y/|s||y| = -4.8701e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.1139e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.3741e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.6630e-06
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2417
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 25, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 9, cTest Summary: | Pass Total
indirect.jl | 8 8
onstraints m = 28
Cones: primal zero / dual free vars: 5
linear vars: 5
primal + dual power vars: 18
Setup time: 9.21e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.97e+00 6.91e+00 1.11e-01 -5.00e+01 -6.26e+01 3.80e-14 6.76e-05
60| 4.67e-07 6.92e-07 3.05e-07 -3.73e+00 -3.73e+00 9.62e-16 2.86e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.87e-03s
Lin-sys: avg # CG iterations: 3.46, avg solve time: 3.62e-06s
Cones: avg projection time: 2.72e-05s
Acceleration: avg step time: 1.33e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.6229e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -2.8493e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.6671e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.9179e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.0541e-07
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7278
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.10e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.66e+19 8.33e+18 6.43e-01 -2.15e+21 -4.68e+20 7.14e+19 3.57e-05
38| 4.24e-11 4.40e-11 1.13e-12 -9.90e+01 -9.90e+01 2.69e-15 5.45e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.50e-04s
Lin-sys: avg # CG iterations: 2.13, avg solve time: 1.86e-06s
Cones: avg projection time: 1.39e-07s
Acceleration: avg step time: 9.68e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.3563e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 3.9694e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.2358e-11
dual res: |A'y + c|_2 / (1 + |c|_2) = 4.3990e-11
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.1299e-12
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-14, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.51e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.66e+19 8.33e+18 6.43e-01 -2.15e+21 -4.68e+20 7.14e+19 3.35e-05
48| 6.47e-15 6.92e-15 1.36e-15 -9.90e+01 -9.90e+01 1.77e-15 6.76e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 6.80e-04s
Lin-sys: avg # CG iterations: 1.90, avg solve time: 1.42e-06s
Cones: avg projection time: 1.29e-07s
AccelerationTest Summary: | Pass Total
options.jl | 12 12
: avg step time: 1.00e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.8125e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -8.3089e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 6.4745e-15
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.9207e-15
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.3568e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-14, alpha = 1.50, max_iters = 1, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.29e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 4.55e-15 7.82e-15 1.71e-15 -9.90e+01 -9.90e+01 4.19e-15 3.60e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.85e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.64e-06s
Cones: avg projection time: 6.50e-07s
Acceleration: avg step time: 5.70e-08s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.9426e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.5977e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.5527e-15
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.8206e-15
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.7139e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 1, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.52e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.22e-15 8.29e-15 1.71e-15 -9.90e+01 -9.90e+01 0.00e+00 3.38e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.62e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.75e-06s
Cones: avg projection time: 8.22e-07s
Acceleration: avg step time: 5.90e-08s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.2544e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 5.4919e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.2240e-15
dual res: |A'y + c|_2 / (1 + |c|_2) = 8.2926e-15
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.7139e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 4, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 6.70e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.23e+18 0.00e+00 1.00e+00 -9.67e+18 -0.00e+00 2.24e+18 4.29e-05
18| 2.19e-12 2.55e-12 1.94e-12 -7.50e-01 -7.50e-01 7.07e-17 2.74e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.78e-04s
Lin-sys: avg # CG iterations: 1.42, avg solve time: 9.27e-07s
Cones: avg projection time: 1.59e-07s
Acceleration: avg step time: 9.73e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.5189e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -5.7761e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.1891e-12
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.5503e-12
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.9387e-12
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 4, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.76e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.23e+18 0.00e+00 1.00e+00 -9.67e+18 -0.00e+00 2.24e+18 2.80e-05
18| 2.19e-12 2.55e-12 1.94e-12 -7.50e-01 -7.50e-01 7.07e-17 2.49e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.53e-04s
Lin-sys: avg # CG iterations: 1.42, avg solve time: 8.64e-07s
Cones: avg projection time: 1.58e-07s
Acceleration: avg step time: 9.21e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.5189e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -5.7761e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.1891e-12
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.5503e-12
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.9387e-12
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 4, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.50e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 7.45e+18 1.09e+19 1.00e+00 -6.44e+18 9.88e+17 1.49e+18 2.86e-05
9| 2.79e+03 2.34e+03 1.00e+00 -2.91e+03 5.53e+18 5.53e+18 9.99e-05
----------------------------------------------------------------------------
Status: Infeasible
Timing: Solve time: 1.03e-04s
Lin-sys: avg # CG iterations: 1┌ Warning: Problem is infeasible, but infeasibility ray ("Farkas proof") is unavailable; check that the proper solver options are set.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rVlFR/src/HighLevelInterface/linprog.jl:89
┌ Warning: Problem is unbounded, but unbounded ray is unavailable; check that the proper solver options are set.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rVlFR/src/HighLevelInterface/linprog.jl:97
Test Summary: | Pass Total
Test the MathProgBase wrapper with linprog | 14 14
Test Summary: | Pass Total
MathProgBase SCS.Direct | 212 212
Test Summary: | Pass Total
MathProgBase SCS.Indirect | 212 212
Test Summary: | Pass Total
SolverName | 1 1
Test Summary: | Pass Total
supports_allocate_load | 2 2
Test Summary: | Pass Total
Unit | 293 293
Test Summary: | Pass Total
Continuous linear problems with SCS.Direct | 496 496
Test Summary: | Pass Total
ADMMIterations attribute with SCS.Direct | 121 121
Test Summary: | Pass Total
Continuous quadratic problems with SCS.Direct | 95 95
Test Summary: | Pass Total
Continuous conic problems with SCS.Direct | 1165 1165
Test Summary: | Pass Total
SolverName | 1 1
Test Summary: | Pass Total
supports_allocate_load | 2 2
Test Summary: | Pass Total
Unit | 293 293
Test Summary: | Pass Total
Continuous linear problems with SCS.Indirect | 496 496
Test Summary: | Pass Total
ADMMIterations attribute with SCS.Indirect | 121 121
Test Summary: | Pass Total
Continuous quadratic problems with SCS.Indirect | 95 95
Test Summary: | Pass Total
Continuous conic problems with SCS.Indirect | 1165 1165
.90, avg solve time: 8.36e-07s
Cones: avg projection time: 1.50e-07s
Acceleration: avg step time: 5.13e-06s
----------------------------------------------------------------------------
Certificate of primal infeasibility:
dist(y, K*) = 0.0000e+00
|A'y|_2 * |b|_2 = 8.4489e-16
b'y = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 4, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.51e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 5.98e+12 6.04e+15 1.00e+00 -1.60e+13 -0.00e+00 1.61e+12 2.97e-05
13| 2.08e+01 0.00e+00 1.00e+00 -1.28e+13 -0.00e+00 1.28e+13 1.81e-04
----------------------------------------------------------------------------
Status: Unbounded
Timing: Solve time: 1.84e-04s
Lin-sys: avg # CG iterations: 1.43, avg solve time: 9.22e-07s
Cones: avg projection time: 1.53e-07s
Acceleration: avg step time: 7.47e-06s
----------------------------------------------------------------------------
Certificate of dual infeasibility:
dist(s, K) = 0.0000e+00
|Ax + s|_2 * |c|_2 = 2.3013e-12
c'x = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.1.1 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-05, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 10, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.31e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.66e+19 8.33e+18 6.43e-01 -2.15e+21 -4.68e+20 7.14e+19 3.41e-05
38| 4.24e-11 4.40e-11 1.13e-12 -9.90e+01 -9.90e+01 2.69e-15 5.56e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.60e-04s
Lin-sys: avg # CG iterations: 2.13, avg solve time: 1.64e-06s
Cones: avg projection time: 1.48e-07s
Acceleration: avg step time: 9.98e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.3563e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 3.9694e-17
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.2358e-11
dual res: |A'y + c|_2 / (1 + |c|_2) = 4.3990e-11
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.1299e-12
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
Testing SCS tests passed