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Results with Julia v1.2.0
Testing was successful .
Last evaluation was ago and took 6 minutes, 58 seconds.
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Resolving package versions...
Installed SCS ──────────────── v0.6.2
Installed Parsers ──────────── v0.3.10
Installed Compat ───────────── v2.2.0
Installed BenchmarkTools ───── v0.4.3
Installed BinaryProvider ───── v0.5.8
Installed MathProgBase ─────── v0.7.7
Installed JSON ─────────────── v0.21.0
Installed MathOptInterface ─── v0.9.7
Installed OrderedCollections ─ v1.1.0
Updating `~/.julia/environments/v1.2/Project.toml`
[c946c3f1] + SCS v0.6.2
Updating `~/.julia/environments/v1.2/Manifest.toml`
[6e4b80f9] + BenchmarkTools v0.4.3
[b99e7846] + BinaryProvider v0.5.8
[34da2185] + Compat v2.2.0
[682c06a0] + JSON v0.21.0
[b8f27783] + MathOptInterface v0.9.7
[fdba3010] + MathProgBase v0.7.7
[bac558e1] + OrderedCollections v1.1.0
[69de0a69] + Parsers v0.3.10
[c946c3f1] + SCS v0.6.2
[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 SCS → `~/.julia/packages/SCS/Y9wx3/deps/build.log`
Testing SCS
Resolving package versions...
Status `/tmp/jl_JyO3ua/Manifest.toml`
[6e4b80f9] BenchmarkTools v0.4.3
[b99e7846] BinaryProvider v0.5.8
[34da2185] Compat v2.2.0
[682c06a0] JSON v0.21.0
[b8f27783] MathOptInterface v0.9.7
[fdba3010] MathProgBase v0.7.7
[bac558e1] OrderedCollections v1.1.0
[69de0a69] Parsers v0.3.10
[c946c3f1] SCS v0.6.2
[2a0f44e3] Base64 [`@stdlib/Base64`]
[ade2ca70] Dates [`@stdlib/Dates`]
[8bb1440f] DelimitedFiles [`@stdlib/DelimitedFiles`]
[8ba89e20] Distributed [`@stdlib/Distributed`]
[b77e0a4c] InteractiveUtils [`@stdlib/InteractiveUtils`]
[76f85450] LibGit2 [`@stdlib/LibGit2`]
[8f399da3] Libdl [`@stdlib/Libdl`]
[37e2e46d] LinearAlgebra [`@stdlib/LinearAlgebra`]
[56ddb016] Logging [`@stdlib/Logging`]
[d6f4376e] Markdown [`@stdlib/Markdown`]
[a63ad114] Mmap [`@stdlib/Mmap`]
[44cfe95a] Pkg [`@stdlib/Pkg`]
[de0858da] Printf [`@stdlib/Printf`]
[3fa0cd96] REPL [`@stdlib/REPL`]
[9a3f8284] Random [`@stdlib/Random`]
[ea8e919c] SHA [`@stdlib/SHA`]
[9e88b42a] Serialization [`@stdlib/Serialization`]
[1a1011a3] SharedArrays [`@stdlib/SharedArrays`]
[6462fe0b] Sockets [`@stdlib/Sockets`]
[2f01184e] SparseArrays [`@stdlib/SparseArrays`]
[10745b16] Statistics [`@stdlib/Statistics`]
[8dfed614] Test [`@stdlib/Test`]
[cf7118a7] UUIDs [`@stdlib/UUIDs`]
[4ec0a83e] Unicode [`@stdlib/Unicode`]
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 1.20e-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 4.71e-05
7| 1.09e-13 4.14e-13 3.49e-13 1.00e+00 1.00e+00 7.27e-17 1.27e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.31e-04s
Lin-sys: nnz in L factor: 3, avg solve time: 6.90e-07s
Cones: avg projection time: 1.27e-07s
Acceleration: avg step time: 8.29e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 4.7159e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0916e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 4.1380e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.4861e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 2.88e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.68e+19 9.75e-01 -1.55e+20 -1.94e+18 1.16e+20 7.85e-05
100| 5.39e-07 7.64e-07 1.90e-07 -2.61e+00 -2.61e+00 3.69e-17 3.84e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.85e-03s
Lin-sys: nnz in L factor: 1225, avg solve time: 1.30e-05s
Cones: avg projection time: 5.29e-07s
Acceleration: avg step time: 1.79e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.7684e-11, dist(y, K*) = 8.7684e-11, s'y/|s||y| = -1.2102e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.3914e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6382e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.9046e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 2.23e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.51e+00 3.88e+00 9.95e-01 -1.49e+02 4.02e+01 0.00e+00 1.28e-03
80| 2.62e-08 2.63e-08 5.91e-09 1.49e+01 1.49e+01 6.08e-15 3.04e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.04e-01s
Lin-sys: nnz in L factor: 415, avg solve time: 1.22e-05s
Cones: avg projection time: 3.22e-04s
Acceleration: avg step time: 3.39e-03s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.1956e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.6185e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6325e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.9051e-09
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9010
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.89e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.07e+00 1.50e+00 8.08e-01 -4.58e+01 -4.41e+00 1.42e-14 3.41e-04
80| 1.07e-07 1.35e-07 7.07e-08 -1.02e+01 -1.02e+01 3.55e-15 2.90e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.90e-02s
Lin-sys: nnz in L factor: 154, avg solve time: 2.51e-06s
Cones: avg projection time: 3.33e-04s
Acceleration: avg step time: 1.78e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.2892e-09, dist(y, K*) = 2.8573e-09, s'y/|s||y| = 5.2534e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0665e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.3462e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 7.0743e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 8.64e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.37e+00 2.16e+00 1.14e-01 -2.77e+01 -2.19e+01 1.52e-14 7.75e-05
40| 1.47e-06 2.64e-06 5.38e-07 -3.73e+00 -3.73e+00 8.31e-15 1.63e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.63e-03s
Lin-sys: nnz in L factor: 71, avg solve time: 1.12e-06s
Cones: avg projection time: 2.69e-05s
Acceleration: avg step time: 8.34e-06s
----------------------------------------------------------------------------
ErrTest Summary: | Pass Total
direct.jl | 8 8
or metrics:
dist(s, K) = 5.7968e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 2.0369e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.4666e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6450e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.3778e-07
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7277
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 7.95e-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 4.48e-05
7| 3.39e-13 6.73e-13 6.74e-13 1.00e+00 1.00e+00 5.48e-17 8.27e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 8.63e-05s
Lin-sys: avg # CG iterations: 0.88, avg solve time: 1.09e-06s
Cones: avg projection time: 1.63e-07s
Acceleration: avg step time: 2.63e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.8815e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.3884e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.7271e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.7435e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 1.13e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.70e+19 9.76e-01 -1.55e+20 -1.91e+18 1.16e+20 1.45e-04
100| 1.14e-06 2.67e-06 5.54e-07 -2.61e+00 -2.61e+00 2.99e-15 6.31e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 6.31e-03s
Lin-sys: avg # CG iterations: 2.97, avg solve time: 3.53e-05s
Cones: avg projection time: 5.44e-07s
Acceleration: avg step time: 1.94e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.1967e-11, dist(y, K*) = 1.1967e-11, s'y/|s||y| = -1.6518e-12
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.1368e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6724e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.5399e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.12e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.41e+00 3.82e+00 9.95e-01 -1.44e+02 4.34e+01 0.00e+00 2.79e-04
80| 4.09e-07 6.85e-07 4.07e-07 1.49e+01 1.49e+01 3.48e-15 1.67e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.67e-01s
Lin-sys: avg # CG iterations: 4.83, avg solve time: 1.40e-05s
Cones: avg projection time: 3.55e-04s
Acceleration: avg step time: 1.69e-03s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -5.5741e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.0871e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.8540e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0726e-07
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9011
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 7.84e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.04e+00 1.41e+00 7.64e-01 -4.42e+01 -5.49e+00 1.40e-14 2.18e-04
80| 3.29e-07 7.49e-07 2.53e-08 -1.02e+01 -1.02e+01 1.26e-14 1.80e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.80e-02s
Lin-sys: avg # CG iterations: 4.44, avg solve time: 5.85e-06s
Cones: avg projection time: 1.95e-04s
Acceleration: avg step time: 1.69e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.3983e-09, dist(y, K*) = 1.7024e-09, s'y/|s||y| = 7.9902e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.2916e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.4939e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.5334e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 4.85e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kapTest Summary: | Pass Total
indirect.jl | 8 8
/tau | time (s)
----------------------------------------------------------------------------
0| 2.39e+00 2.18e+00 1.11e-01 -2.79e+01 -2.22e+01 1.53e-14 1.10e-03
60| 3.11e-08 2.55e-08 2.33e-09 -3.73e+00 -3.73e+00 3.85e-16 3.60e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.61e-03s
Lin-sys: avg # CG iterations: 2.87, avg solve time: 2.49e-06s
Cones: avg projection time: 2.92e-05s
Acceleration: avg step time: 7.45e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.9463e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 4.9235e-15
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.1053e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.5513e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.3293e-09
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7278
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.26e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 4.11e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.52e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.55e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.41e-06s
Cones: avg projection time: 1.23e-07s
Acceleration: avg step time: 4.57e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 4.77e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.51e-05
100| 8.46e-09 2.10e-08 6.83e-09 -9.90e+01 -9.90e+01 9.41e-15 7.92e-04
200| 9.01e-12 9.69e-12 1.30e-13 -9.90e+01 -9.90e+01 8.96e-15 1.51e-03
234| 8.93e-13 3.16e-13 4.07e-15 -9.90e+01 -9.90e+01 3.28e-15 2.62e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.62e-03s
Lin-sys: avg # CG iterations: 1.20, avg solve time: 1.23e-06s
Cones: avg projection time: 1.24e-07s
Acceleration: avg step time: 7.75e-06s
----------------------------------------------------------------------Test Summary: | Pass Total
options.jl | 9 9
------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.4707e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.9270e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.1580e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0704e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 1, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.01e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.16e-13 7.65e-13 8.21e-15 -9.90e+01 -9.90e+01 5.69e-15 4.52e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 4.79e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.87e-06s
Cones: avg projection time: 1.11e-06s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.0456e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -2.3977e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.1589e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6519e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 8.2123e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 4.48e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 6.28e-13 1.20e-12 3.83e-14 -9.90e+01 -9.90e+01 0.00e+00 3.46e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.69e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.23e-06s
Cones: avg projection time: 8.14e-07s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.1036e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 6.2792e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.1964e-12
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.8348e-14
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.40e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 2.86e-05
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 9.80e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.00e-04s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 5.56e-07s
Cones: avg projection time: 8.72e-08s
Acceleration: avg step time: 1.89e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 5.11e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 3.51e-05
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 1.15e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.17e-04s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 5.61e-07s
Cones: avg projection time: 8.61e-08s
Acceleration: avg step time: 2.39e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.27e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.63e+18 1.17e+19 1.00e+00 -7.70e+18 1.24e+17 1.03e+18 2.94e-05
20| 1.23e+10 1.67e+10 1.00e+00 -4.84e+09 5.80e+18 5.80e+18 1.04e-04
----------------------------------------------------------------------------
Status: Infeasible
Timing: Solve time: 1.06e-04s
Lin-sys: avg # CG iterations: 2.00, avg solve time: 6.59e-07s
Cones: avg projection time: 8.14e-08s
┌ 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 | 1101 1101
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 | 1101 1101
Acceleration: avg step time: 1.90e-06s
----------------------------------------------------------------------------
Certificate of primal infeasibility:
dist(y, K*) = 0.0000e+00
|A'y|_2 * |b|_2 = 5.7515e-09
b'y = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.28e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 7.03e-03 1.31e+00 1.68e-02 -1.71e-02 -0.00e+00 0.00e+00 2.66e-05
12| 3.72e+05 0.00e+00 1.00e+00 -1.81e+16 -0.00e+00 1.81e+16 8.04e-05
----------------------------------------------------------------------------
Status: Unbounded
Timing: Solve time: 8.25e-05s
Lin-sys: avg # CG iterations: 1.46, avg solve time: 6.79e-07s
Cones: avg projection time: 1.22e-07s
Acceleration: avg step time: 2.26e-06s
----------------------------------------------------------------------------
Certificate of dual infeasibility:
dist(s, K) = 0.0000e+00
|Ax + s|_2 * |c|_2 = 2.9111e-11
c'x = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 6.00e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 2.88e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.17e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.20e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.33e-06s
Cones: avg projection time: 1.24e-07s
Acceleration: avg step time: 4.15e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
Testing SCS tests passed
Results with Julia v1.3.0
Testing was successful .
Last evaluation was ago and took 6 minutes, 7 seconds.
Click here to download the log file.
Click here to show the log contents.
Resolving package versions...
Installed SCS ──────────────── v0.6.2
Installed Compat ───────────── v2.2.0
Installed OrderedCollections ─ v1.1.0
Installed BenchmarkTools ───── v0.4.3
Installed BinaryProvider ───── v0.5.8
Installed MathProgBase ─────── v0.7.7
Installed JSON ─────────────── v0.21.0
Installed MathOptInterface ─── v0.9.7
Installed Parsers ──────────── v0.3.10
Updating `~/.julia/environments/v1.3/Project.toml`
[c946c3f1] + SCS v0.6.2
Updating `~/.julia/environments/v1.3/Manifest.toml`
[6e4b80f9] + BenchmarkTools v0.4.3
[b99e7846] + BinaryProvider v0.5.8
[34da2185] + Compat v2.2.0
[682c06a0] + JSON v0.21.0
[b8f27783] + MathOptInterface v0.9.7
[fdba3010] + MathProgBase v0.7.7
[bac558e1] + OrderedCollections v1.1.0
[69de0a69] + Parsers v0.3.10
[c946c3f1] + SCS v0.6.2
[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 SCS → `~/.julia/packages/SCS/Y9wx3/deps/build.log`
Testing SCS
Resolving package versions...
Status `/tmp/jl_4CE7gq/Manifest.toml`
[6e4b80f9] BenchmarkTools v0.4.3
[b99e7846] BinaryProvider v0.5.8
[34da2185] Compat v2.2.0
[682c06a0] JSON v0.21.0
[b8f27783] MathOptInterface v0.9.7
[fdba3010] MathProgBase v0.7.7
[bac558e1] OrderedCollections v1.1.0
[69de0a69] Parsers v0.3.10
[c946c3f1] SCS v0.6.2
[2a0f44e3] Base64 [`@stdlib/Base64`]
[ade2ca70] Dates [`@stdlib/Dates`]
[8bb1440f] DelimitedFiles [`@stdlib/DelimitedFiles`]
[8ba89e20] Distributed [`@stdlib/Distributed`]
[b77e0a4c] InteractiveUtils [`@stdlib/InteractiveUtils`]
[76f85450] LibGit2 [`@stdlib/LibGit2`]
[8f399da3] Libdl [`@stdlib/Libdl`]
[37e2e46d] LinearAlgebra [`@stdlib/LinearAlgebra`]
[56ddb016] Logging [`@stdlib/Logging`]
[d6f4376e] Markdown [`@stdlib/Markdown`]
[a63ad114] Mmap [`@stdlib/Mmap`]
[44cfe95a] Pkg [`@stdlib/Pkg`]
[de0858da] Printf [`@stdlib/Printf`]
[3fa0cd96] REPL [`@stdlib/REPL`]
[9a3f8284] Random [`@stdlib/Random`]
[ea8e919c] SHA [`@stdlib/SHA`]
[9e88b42a] Serialization [`@stdlib/Serialization`]
[1a1011a3] SharedArrays [`@stdlib/SharedArrays`]
[6462fe0b] Sockets [`@stdlib/Sockets`]
[2f01184e] SparseArrays [`@stdlib/SparseArrays`]
[10745b16] Statistics [`@stdlib/Statistics`]
[8dfed614] Test [`@stdlib/Test`]
[cf7118a7] UUIDs [`@stdlib/UUIDs`]
[4ec0a83e] Unicode [`@stdlib/Unicode`]
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 1.20e-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 4.86e-05
7| 1.09e-13 4.14e-13 3.49e-13 1.00e+00 1.00e+00 7.27e-17 1.34e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.37e-04s
Lin-sys: nnz in L factor: 3, avg solve time: 5.83e-07s
Cones: avg projection time: 1.23e-07s
Acceleration: avg step time: 8.77e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 4.7159e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0916e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 4.1380e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.4861e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 2.93e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.68e+19 9.75e-01 -1.55e+20 -1.94e+18 1.16e+20 7.26e-05
100| 5.39e-07 7.64e-07 1.90e-07 -2.61e+00 -2.61e+00 3.69e-17 3.72e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.73e-03s
Lin-sys: nnz in L factor: 1225, avg solve time: 1.29e-05s
Cones: avg projection time: 4.81e-07s
Acceleration: avg step time: 1.68e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.7684e-11, dist(y, K*) = 8.7684e-11, s'y/|s||y| = -1.2102e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.3914e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6382e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.9046e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 2.24e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.51e+00 3.88e+00 9.95e-01 -1.49e+02 4.02e+01 0.00e+00 3.57e-04
80| 2.62e-08 2.63e-08 5.91e-09 1.49e+01 1.49e+01 6.08e-15 5.79e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.79e-01s
Lin-sys: nnz in L factor: 415, avg solve time: 1.45e-05s
Cones: avg projection time: 3.78e-04s
Acceleration: avg step time: 6.74e-03s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.1956e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.6185e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6325e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.9051e-09
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9010
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.90e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.07e+00 1.50e+00 8.08e-01 -4.58e+01 -4.41e+00 1.42e-14 3.03e-04
80| 1.07e-07 1.35e-07 7.07e-08 -1.02e+01 -1.02e+01 3.55e-15 1.78e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.78e-02s
Lin-sys: nnz in L factor: 154, avg solve time: 2.96e-06s
Cones: avg projection time: 1.91e-04s
Acceleration: avg step time: 2.15e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.2892e-09, dist(y, K*) = 2.8573e-09, s'y/|s||y| = 5.2534e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0665e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.3462e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 7.0743e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.02e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.37e+00 2.16e+00 1.14e-01 -2.77e+01 -2.19e+01 1.52e-14 9.86e-05
40| 1.47e-06 2.64e-06 5.38e-07 -3.73e+00 -3.73e+00 8.31e-15 1.91e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.91e-03s
Lin-sys: nnz in L factor: 71, avg solve time: 1.41e-06s
Cones: avg projection time: 3.19e-05s
Acceleration: avg step time: 9.46e-06s
----------------------------------------------------------------------------
ErrTest Summary: | Pass Total
direct.jl | 8 8
or metrics:
dist(s, K) = 5.7968e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 2.0369e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.4666e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6450e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.3778e-07
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7277
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 6.54e-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 4.25e-05
7| 3.39e-13 6.73e-13 6.74e-13 1.00e+00 1.00e+00 5.48e-17 7.65e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 8.00e-05s
Lin-sys: avg # CG iterations: 0.88, avg solve time: 9.04e-07s
Cones: avg projection time: 1.13e-07s
Acceleration: avg step time: 2.30e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.8815e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.3884e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.7271e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.7435e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 1.01e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.70e+19 9.76e-01 -1.55e+20 -1.91e+18 1.16e+20 1.33e-04
100| 1.14e-06 2.67e-06 5.54e-07 -2.61e+00 -2.61e+00 2.99e-15 5.69e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.69e-03s
Lin-sys: avg # CG iterations: 2.97, avg solve time: 3.16e-05s
Cones: avg projection time: 5.62e-07s
Acceleration: avg step time: 1.74e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.1967e-11, dist(y, K*) = 1.1967e-11, s'y/|s||y| = -1.6518e-12
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.1368e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6724e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.5399e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.25e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.41e+00 3.82e+00 9.95e-01 -1.44e+02 4.34e+01 0.00e+00 2.76e-04
80| 4.09e-07 6.85e-07 4.07e-07 1.49e+01 1.49e+01 3.48e-15 2.70e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.70e-01s
Lin-sys: avg # CG iterations: 4.83, avg solve time: 1.67e-05s
Cones: avg projection time: 3.32e-04s
Acceleration: avg step time: 2.97e-03s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -5.5741e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.0871e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.8540e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0726e-07
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9011
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 7.54e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.04e+00 1.41e+00 7.64e-01 -4.42e+01 -5.49e+00 1.40e-14 2.31e-04
80| 3.29e-07 7.49e-07 2.53e-08 -1.02e+01 -1.02e+01 1.26e-14 5.73e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.73e-02s
Lin-sys: avg # CG iterations: 4.44, avg solve time: 7.32e-06s
Cones: avg projection time: 6.76e-04s
Acceleration: avg step time: 1.96e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.3983e-09, dist(y, K*) = 1.7024e-09, s'y/|s||y| = 7.9902e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.2916e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.4939e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.5334e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 5.35e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kapTest Summary: | Pass Total
indirect.jl | 8 8
/tau | time (s)
----------------------------------------------------------------------------
0| 2.39e+00 2.18e+00 1.11e-01 -2.79e+01 -2.22e+01 1.53e-14 6.89e-03
60| 3.11e-08 2.55e-08 2.33e-09 -3.73e+00 -3.73e+00 3.85e-16 9.45e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 9.45e-03s
Lin-sys: avg # CG iterations: 2.87, avg solve time: 3.08e-06s
Cones: avg projection time: 2.77e-05s
Acceleration: avg step time: 9.18e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.9463e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 4.9235e-15
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.1053e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.5513e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.3293e-09
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7278
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 4.85e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.19e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.18e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.23e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.31e-06s
Cones: avg projection time: 1.25e-07s
Acceleration: avg step time: 4.07e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 4.68e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.52e-05
100| 8.46e-09 2.10e-08 6.83e-09 -9.90e+01 -9.90e+01 9.41e-15 7.12e-04
200| 9.01e-12 9.69e-12 1.30e-13 -9.90e+01 -9.90e+01 8.96e-15 1.38e-03
234| 8.93e-13 3.16e-13 4.07e-15 -9.90e+01 -9.90e+01 3.28e-15 1.63e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.63e-03s
Lin-sys: avg # CG iterations: 1.20, avg solve time: 1.05e-06s
Cones: avg projection time: 1.15e-07s
Acceleration: avg step time: 3.95e-06s
----------------------------------------------------------------------Test Summary: | Pass Total
options.jl | 9 9
------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.4707e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.9270e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.1580e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0704e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 1, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.14e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.16e-13 7.65e-13 8.21e-15 -9.90e+01 -9.90e+01 5.69e-15 4.46e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 4.73e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.29e-06s
Cones: avg projection time: 9.11e-07s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.0456e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -2.3977e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.1589e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6519e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 8.2123e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 4.58e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 6.28e-13 1.20e-12 3.83e-14 -9.90e+01 -9.90e+01 0.00e+00 3.54e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.82e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.07e-06s
Cones: avg projection time: 8.09e-07s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.1036e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 6.2792e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.1964e-12
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.8348e-14
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 1.87e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 9.02e-04
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 9.98e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.00e-03s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 6.26e-07s
Cones: avg projection time: 1.10e-07s
Acceleration: avg step time: 2.72e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.63e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 3.18e-05
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 1.61e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.64e-04s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 5.86e-07s
Cones: avg projection time: 9.13e-08s
Acceleration: avg step time: 4.58e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.43e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.63e+18 1.17e+19 1.00e+00 -7.70e+18 1.24e+17 1.03e+18 3.22e-05
20| 1.23e+10 1.67e+10 1.00e+00 -4.84e+09 5.80e+18 5.80e+18 9.27e-05
----------------------------------------------------------------------------
Status: Infeasible
Timing: Solve time: 9.57e-05s
Lin-sys: avg # CG iterations: 2.00, avg solve time: 5.37e-07s
Cones: avg projection time: 7.87e-08s
┌ 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 | 1101 1101
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 | 1101 1101
Acceleration: avg step time: 1.54e-06s
----------------------------------------------------------------------------
Certificate of primal infeasibility:
dist(y, K*) = 0.0000e+00
|A'y|_2 * |b|_2 = 5.7515e-09
b'y = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.35e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 7.03e-03 1.31e+00 1.68e-02 -1.71e-02 -0.00e+00 0.00e+00 4.71e-05
12| 3.72e+05 0.00e+00 1.00e+00 -1.81e+16 -0.00e+00 1.81e+16 9.15e-05
----------------------------------------------------------------------------
Status: Unbounded
Timing: Solve time: 9.39e-05s
Lin-sys: avg # CG iterations: 1.46, avg solve time: 2.04e-06s
Cones: avg projection time: 9.04e-08s
Acceleration: avg step time: 1.78e-06s
----------------------------------------------------------------------------
Certificate of dual infeasibility:
dist(s, K) = 0.0000e+00
|Ax + s|_2 * |c|_2 = 2.9111e-11
c'x = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.69e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.43e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.41e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.44e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.36e-06s
Cones: avg projection time: 1.30e-07s
Acceleration: avg step time: 4.14e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
Testing SCS tests passed
Results with Julia v1.3.1-pre-7704df0a5a
Testing was successful .
Last evaluation was ago and took 6 minutes, 7 seconds.
Click here to download the log file.
Click here to show the log contents.
Resolving package versions...
Installed Compat ───────────── v2.2.0
Installed SCS ──────────────── v0.6.2
Installed BenchmarkTools ───── v0.4.3
Installed OrderedCollections ─ v1.1.0
Installed BinaryProvider ───── v0.5.8
Installed MathProgBase ─────── v0.7.7
Installed JSON ─────────────── v0.21.0
Installed MathOptInterface ─── v0.9.7
Installed Parsers ──────────── v0.3.10
Updating `~/.julia/environments/v1.3/Project.toml`
[c946c3f1] + SCS v0.6.2
Updating `~/.julia/environments/v1.3/Manifest.toml`
[6e4b80f9] + BenchmarkTools v0.4.3
[b99e7846] + BinaryProvider v0.5.8
[34da2185] + Compat v2.2.0
[682c06a0] + JSON v0.21.0
[b8f27783] + MathOptInterface v0.9.7
[fdba3010] + MathProgBase v0.7.7
[bac558e1] + OrderedCollections v1.1.0
[69de0a69] + Parsers v0.3.10
[c946c3f1] + SCS v0.6.2
[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 SCS → `~/.julia/packages/SCS/Y9wx3/deps/build.log`
Testing SCS
Resolving package versions...
Status `/tmp/jl_4jbbKq/Manifest.toml`
[6e4b80f9] BenchmarkTools v0.4.3
[b99e7846] BinaryProvider v0.5.8
[34da2185] Compat v2.2.0
[682c06a0] JSON v0.21.0
[b8f27783] MathOptInterface v0.9.7
[fdba3010] MathProgBase v0.7.7
[bac558e1] OrderedCollections v1.1.0
[69de0a69] Parsers v0.3.10
[c946c3f1] SCS v0.6.2
[2a0f44e3] Base64 [`@stdlib/Base64`]
[ade2ca70] Dates [`@stdlib/Dates`]
[8bb1440f] DelimitedFiles [`@stdlib/DelimitedFiles`]
[8ba89e20] Distributed [`@stdlib/Distributed`]
[b77e0a4c] InteractiveUtils [`@stdlib/InteractiveUtils`]
[76f85450] LibGit2 [`@stdlib/LibGit2`]
[8f399da3] Libdl [`@stdlib/Libdl`]
[37e2e46d] LinearAlgebra [`@stdlib/LinearAlgebra`]
[56ddb016] Logging [`@stdlib/Logging`]
[d6f4376e] Markdown [`@stdlib/Markdown`]
[a63ad114] Mmap [`@stdlib/Mmap`]
[44cfe95a] Pkg [`@stdlib/Pkg`]
[de0858da] Printf [`@stdlib/Printf`]
[3fa0cd96] REPL [`@stdlib/REPL`]
[9a3f8284] Random [`@stdlib/Random`]
[ea8e919c] SHA [`@stdlib/SHA`]
[9e88b42a] Serialization [`@stdlib/Serialization`]
[1a1011a3] SharedArrays [`@stdlib/SharedArrays`]
[6462fe0b] Sockets [`@stdlib/Sockets`]
[2f01184e] SparseArrays [`@stdlib/SparseArrays`]
[10745b16] Statistics [`@stdlib/Statistics`]
[8dfed614] Test [`@stdlib/Test`]
[cf7118a7] UUIDs [`@stdlib/UUIDs`]
[4ec0a83e] Unicode [`@stdlib/Unicode`]
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 1.17e-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 4.33e-05
7| 1.09e-13 4.14e-13 3.49e-13 1.00e+00 1.00e+00 7.27e-17 1.20e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.23e-04s
Lin-sys: nnz in L factor: 3, avg solve time: 6.64e-07s
Cones: avg projection time: 1.13e-07s
Acceleration: avg step time: 8.00e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 4.7159e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0916e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 4.1380e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.4861e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 3.39e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.68e+19 9.75e-01 -1.55e+20 -1.94e+18 1.16e+20 7.26e-05
100| 5.39e-07 7.64e-07 1.90e-07 -2.61e+00 -2.61e+00 3.69e-17 3.79e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.80e-03s
Lin-sys: nnz in L factor: 1225, avg solve time: 1.26e-05s
Cones: avg projection time: 5.22e-07s
Acceleration: avg step time: 1.79e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.7684e-11, dist(y, K*) = 8.7684e-11, s'y/|s||y| = -1.2102e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 5.3914e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6382e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 1.9046e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 2.39e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.51e+00 3.88e+00 9.95e-01 -1.49e+02 4.02e+01 0.00e+00 3.82e-04
80| 2.62e-08 2.63e-08 5.91e-09 1.49e+01 1.49e+01 6.08e-15 8.55e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 8.55e-01s
Lin-sys: nnz in L factor: 415, avg solve time: 1.75e-05s
Cones: avg projection time: 3.34e-04s
Acceleration: avg step time: 1.02e-02s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.1956e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 2.6185e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6325e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.9051e-09
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9010
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 1.92e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.07e+00 1.50e+00 8.08e-01 -4.58e+01 -4.41e+00 1.42e-14 3.54e-04
80| 1.07e-07 1.35e-07 7.07e-08 -1.02e+01 -1.02e+01 3.55e-15 1.29e-02
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.29e-02s
Lin-sys: nnz in L factor: 154, avg solve time: 2.35e-06s
Cones: avg projection time: 1.35e-04s
Acceleration: avg step time: 1.77e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.2892e-09, dist(y, K*) = 2.8573e-09, s'y/|s||y| = 5.2534e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.0665e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.3462e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 7.0743e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 9.29e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 2.37e+00 2.16e+00 1.14e-01 -2.77e+01 -2.19e+01 1.52e-14 7.27e-05
40| 1.47e-06 2.64e-06 5.38e-07 -3.73e+00 -3.73e+00 8.31e-15 1.60e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.61e-03s
Lin-sys: nnz in L factor: 71, avg solve time: 1.14e-06s
Cones: avg projection time: 2.65e-05s
Acceleration: avg step time: 8.23e-06s
----------------------------------------------------------------------------
ErrTest Summary: | Pass Total
direct.jl | 8 8
or metrics:
dist(s, K) = 5.7968e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 2.0369e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.4666e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6450e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.3778e-07
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7277
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 1, constraints m = 1
Cones: primal zero / dual free vars: 1
Setup time: 7.40e-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 4.07e-05
7| 3.39e-13 6.73e-13 6.74e-13 1.00e+00 1.00e+00 5.48e-17 7.64e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 7.96e-05s
Lin-sys: avg # CG iterations: 0.88, avg solve time: 8.86e-07s
Cones: avg projection time: 1.19e-07s
Acceleration: avg step time: 2.50e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 8.8815e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.0000e+00
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.3884e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.7271e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.7435e-13
----------------------------------------------------------------------------
c'x = 1.0000, -b'y = 1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 11, constraints m = 112
Cones: linear vars: 100
soc vars: 12, soc blks: 1
Setup time: 9.96e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.03e+20 1.70e+19 9.76e-01 -1.55e+20 -1.91e+18 1.16e+20 1.14e-04
100| 1.14e-06 2.67e-06 5.54e-07 -2.61e+00 -2.61e+00 2.99e-15 5.64e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 5.65e-03s
Lin-sys: avg # CG iterations: 2.97, avg solve time: 3.12e-05s
Cones: avg projection time: 5.35e-07s
Acceleration: avg step time: 1.76e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.1967e-11, dist(y, K*) = 1.1967e-11, s'y/|s||y| = -1.6518e-12
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 1.1368e-06
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.6724e-06
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.5399e-07
----------------------------------------------------------------------------
c'x = -2.6123, -b'y = -2.6123
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 2.42e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 3.41e+00 3.82e+00 9.95e-01 -1.44e+02 4.34e+01 0.00e+00 2.89e-04
80| 4.09e-07 6.85e-07 4.07e-07 1.49e+01 1.49e+01 3.48e-15 2.18e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.18e-01s
Lin-sys: avg # CG iterations: 4.83, avg solve time: 2.32e-05s
Cones: avg projection time: 3.14e-04s
Acceleration: avg step time: 2.34e-03s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 7.4506e-09, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -5.5741e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 4.0871e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 6.8540e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0726e-07
----------------------------------------------------------------------------
c'x = 14.9010, -b'y = 14.9011
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 8.01e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.04e+00 1.41e+00 7.64e-01 -4.42e+01 -5.49e+00 1.40e-14 2.29e-04
80| 3.29e-07 7.49e-07 2.53e-08 -1.02e+01 -1.02e+01 1.26e-14 1.07e-01
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.07e-01s
Lin-sys: avg # CG iterations: 4.44, avg solve time: 7.19e-06s
Cones: avg projection time: 1.29e-03s
Acceleration: avg step time: 1.99e-05s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.3983e-09, dist(y, K*) = 1.7024e-09, s'y/|s||y| = 7.9902e-11
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.2916e-07
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.4939e-07
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.5334e-08
----------------------------------------------------------------------------
c'x = -10.2418, -b'y = -10.2418
============================================================================
WARN: A->p (column pointers) not strictly increasing, column 1 empty
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, 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: 4.87e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kapTest Summary: | Pass Total
indirect.jl | 8 8
/tau | time (s)
----------------------------------------------------------------------------
0| 2.39e+00 2.18e+00 1.11e-01 -2.79e+01 -2.22e+01 1.53e-14 8.80e-05
60| 3.11e-08 2.55e-08 2.33e-09 -3.73e+00 -3.73e+00 3.85e-16 2.54e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 2.54e-03s
Lin-sys: avg # CG iterations: 2.87, avg solve time: 2.83e-06s
Cones: avg projection time: 2.69e-05s
Acceleration: avg step time: 8.50e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.9463e-16, dist(y, K*) = 0.0000e+00, s'y/|s||y| = 4.9235e-15
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.1053e-08
dual res: |A'y + c|_2 / (1 + |c|_2) = 2.5513e-08
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 2.3293e-09
----------------------------------------------------------------------------
c'x = -3.7278, -b'y = -3.7278
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.15e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.81e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.35e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.39e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.41e-06s
Cones: avg projection time: 1.23e-07s
Acceleration: avg step time: 3.98e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 5000, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 6.17e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.72e-05
100| 8.46e-09 2.10e-08 6.83e-09 -9.90e+01 -9.90e+01 9.41e-15 6.50e-04
200| 9.01e-12 9.69e-12 1.30e-13 -9.90e+01 -9.90e+01 8.96e-15 1.28e-03
234| 8.93e-13 3.16e-13 4.07e-15 -9.90e+01 -9.90e+01 3.28e-15 1.52e-03
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.53e-03s
Lin-sys: avg # CG iterations: 1.20, avg solve time: 9.80e-07s
Cones: avg projection time: 1.07e-07s
Acceleration: avg step time: 3.65e-06s
----------------------------------------------------------------------Test Summary: | Pass Total
options.jl | 9 9
------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.4707e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.9270e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.1580e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 4.0704e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
Lin-sys: sparse-indirect, nnz in A = 12, CG tol ~ 1/iter^(2.00)
eps = 1.00e-12, alpha = 1.50, max_iters = 1, normalize = 1, scale = 1.00
acceleration_lookback = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.05e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.16e-13 7.65e-13 8.21e-15 -9.90e+01 -9.90e+01 5.69e-15 5.91e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 6.26e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 5.03e-06s
Cones: avg projection time: 1.01e-06s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 3.0456e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -2.3977e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 8.1589e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 7.6519e-13
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 8.2123e-15
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 5.61e-05s
SCS using variable warm-starting
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 6.28e-13 1.20e-12 3.83e-14 -9.90e+01 -9.90e+01 0.00e+00 4.27e-05
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 4.54e-05s
Lin-sys: avg # CG iterations: 1.00, avg solve time: 4.75e-06s
Cones: avg projection time: 8.62e-07s
Acceleration: avg step time: 0.00e+00s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 1.4957e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.1036e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 6.2792e-13
dual res: |A'y + c|_2 / (1 + |c|_2) = 1.1964e-12
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 3.8348e-14
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 1.82e-04s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 6.49e-05
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 1.51e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.54e-04s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 6.44e-07s
Cones: avg projection time: 9.42e-08s
Acceleration: avg step time: 2.53e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.82e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 9.73e+18 0.00e+00 1.00e+00 -1.16e+19 -0.00e+00 1.54e+18 3.33e-05
20| 3.07e-09 3.99e-09 6.61e-10 -7.50e-01 -7.50e-01 7.45e-17 1.03e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 1.06e-04s
Lin-sys: avg # CG iterations: 1.33, avg solve time: 6.20e-07s
Cones: avg projection time: 9.83e-08s
Acceleration: avg step time: 1.90e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 5.2919e-17, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -4.8073e-18
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 3.0720e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 3.9874e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 6.6108e-10
----------------------------------------------------------------------------
c'x = -0.7500, -b'y = -0.7500
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.79e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 8.63e+18 1.17e+19 1.00e+00 -7.70e+18 1.24e+17 1.03e+18 3.16e-05
20| 1.23e+10 1.67e+10 1.00e+00 -4.84e+09 5.80e+18 5.80e+18 9.94e-05
----------------------------------------------------------------------------
Status: Infeasible
Timing: Solve time: 1.02e-04s
Lin-sys: avg # CG iterations: 2.00, avg solve time: 6.25e-07s
Cones: avg projection time: 7.96e-08s
┌ 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 | 1101 1101
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 | 1101 1101
Acceleration: avg step time: 1.77e-06s
----------------------------------------------------------------------------
Certificate of primal infeasibility:
dist(y, K*) = 0.0000e+00
|A'y|_2 * |b|_2 = 5.7515e-09
b'y = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 2, constraints m = 3
Cones: linear vars: 3
Setup time: 4.77e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 7.03e-03 1.31e+00 1.68e-02 -1.71e-02 -0.00e+00 0.00e+00 2.96e-05
12| 3.72e+05 0.00e+00 1.00e+00 -1.81e+16 -0.00e+00 1.81e+16 1.37e-04
----------------------------------------------------------------------------
Status: Unbounded
Timing: Solve time: 1.39e-04s
Lin-sys: avg # CG iterations: 1.46, avg solve time: 4.69e-06s
Cones: avg projection time: 1.21e-07s
Acceleration: avg step time: 2.33e-06s
----------------------------------------------------------------------------
Certificate of dual infeasibility:
dist(s, K) = 0.0000e+00
|Ax + s|_2 * |c|_2 = 2.9111e-11
c'x = -1.0000
============================================================================
----------------------------------------------------------------------------
SCS v2.0.2 - Splitting Conic Solver
(c) Brendan O'Donoghue, Stanford University, 2012-2017
----------------------------------------------------------------------------
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 = 20, rho_x = 1.00e-03
Variables n = 5, constraints m = 8
Cones: linear vars: 8
Setup time: 6.10e-05s
----------------------------------------------------------------------------
Iter | pri res | dua res | rel gap | pri obj | dua obj | kap/tau | time (s)
----------------------------------------------------------------------------
0| 1.49e+01 2.21e+00 8.87e-01 -1.19e+03 -7.10e+01 0.00e+00 3.80e-05
40| 7.82e-09 9.07e-09 5.21e-10 -9.90e+01 -9.90e+01 3.08e-15 3.27e-04
----------------------------------------------------------------------------
Status: Solved
Timing: Solve time: 3.31e-04s
Lin-sys: avg # CG iterations: 2.15, avg solve time: 1.34e-06s
Cones: avg projection time: 1.27e-07s
Acceleration: avg step time: 4.18e-06s
----------------------------------------------------------------------------
Error metrics:
dist(s, K) = 2.3324e-15, dist(y, K*) = 0.0000e+00, s'y/|s||y| = -1.6608e-16
primal res: |Ax + s - b|_2 / (1 + |b|_2) = 7.8164e-09
dual res: |A'y + c|_2 / (1 + |c|_2) = 9.0736e-09
rel gap: |c'x + b'y| / (1 + |c'x| + |b'y|) = 5.2126e-10
----------------------------------------------------------------------------
c'x = -99.0000, -b'y = -99.0000
============================================================================
Testing SCS tests passed