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1.5.0-DEV-4085873ec6.log
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Julia Version 1.5.0-DEV.431
Commit 4085873ec6 (2020-03-10 23:48 UTC)
Platform Info:
OS: Linux (x86_64-pc-linux-gnu)
CPU: Intel(R) Xeon(R) Silver 4114 CPU @ 2.20GHz
WORD_SIZE: 64
LIBM: libopenlibm
LLVM: libLLVM-9.0.1 (ORCJIT, skylake)
Environment:
JULIA_DEPOT_PATH = ::/usr/local/share/julia
JULIA_NUM_THREADS = 2
Resolving package versions...
Installed IniFile ──────────── v0.5.0
Installed CodecZlib ────────── v0.6.0
Installed Ipopt ────────────── v0.6.1
Installed MbedTLS ──────────── v1.0.1
Installed TranscodingStreams ─ v0.9.5
Installed BinaryProvider ───── v0.5.8
Installed MutableArithmetics ─ v0.2.7
Installed JSON ─────────────── v0.21.0
Installed MbedTLS_jll ──────── v2.16.0+1
Installed JSONSchema ───────── v0.2.0
Installed CodecBzip2 ───────── v0.6.0
Installed Parsers ──────────── v0.3.12
Installed OrderedCollections ─ v1.1.0
Installed MathProgBase ─────── v0.7.8
Installed HTTP ─────────────── v0.8.12
Installed MathOptInterface ─── v0.9.12
Installed BenchmarkTools ───── v0.5.0
# 1.6%######################################################################## 100.0%
Updating `~/.julia/environments/v1.5/Project.toml`
b6b21f68 + Ipopt v0.6.1
Updating `~/.julia/environments/v1.5/Manifest.toml`
6e4b80f9 + BenchmarkTools v0.5.0
b99e7846 + BinaryProvider v0.5.8
523fee87 + CodecBzip2 v0.6.0
944b1d66 + CodecZlib v0.6.0
cd3eb016 + HTTP v0.8.12
83e8ac13 + IniFile v0.5.0
b6b21f68 + Ipopt v0.6.1
682c06a0 + JSON v0.21.0
7d188eb4 + JSONSchema v0.2.0
b8f27783 + MathOptInterface v0.9.12
fdba3010 + MathProgBase v0.7.8
739be429 + MbedTLS v1.0.1
c8ffd9c3 + MbedTLS_jll v2.16.0+1
d8a4904e + MutableArithmetics v0.2.7
bac558e1 + OrderedCollections v1.1.0
69de0a69 + Parsers v0.3.12
3bb67fe8 + TranscodingStreams v0.9.5
2a0f44e3 + Base64
ade2ca70 + Dates
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
6462fe0b + Sockets
2f01184e + SparseArrays
10745b16 + Statistics
8dfed614 + Test
cf7118a7 + UUIDs
4ec0a83e + Unicode
Building CodecZlib ─→ `~/.julia/packages/CodecZlib/5t9zO/deps/build.log`
Building CodecBzip2 → `~/.julia/packages/CodecBzip2/T5yr7/deps/build.log`
Building Ipopt ─────→ `~/.julia/packages/Ipopt/ruIXY/deps/build.log`
Testing Ipopt
Status `/tmp/jl_hfGXkQ/Project.toml`
b99e7846 BinaryProvider v0.5.8
34da2185 Compat v3.8.0
b6b21f68 Ipopt v0.6.1
b8f27783 MathOptInterface v0.9.12
fdba3010 MathProgBase v0.7.8
8f399da3 Libdl
37e2e46d LinearAlgebra
2f01184e SparseArrays
8dfed614 Test
Status `/tmp/jl_hfGXkQ/Manifest.toml`
6e4b80f9 BenchmarkTools v0.5.0
b99e7846 BinaryProvider v0.5.8
523fee87 CodecBzip2 v0.6.0
944b1d66 CodecZlib v0.6.0
34da2185 Compat v3.8.0
cd3eb016 HTTP v0.8.12
83e8ac13 IniFile v0.5.0
b6b21f68 Ipopt v0.6.1
682c06a0 JSON v0.21.0
7d188eb4 JSONSchema v0.2.0
b8f27783 MathOptInterface v0.9.12
fdba3010 MathProgBase v0.7.8
739be429 MbedTLS v1.0.1
c8ffd9c3 MbedTLS_jll v2.16.0+1
d8a4904e MutableArithmetics v0.2.7
bac558e1 OrderedCollections v1.1.0
69de0a69 Parsers v0.3.12
3bb67fe8 TranscodingStreams v0.9.5
2a0f44e3 Base64
ade2ca70 Dates
8bb1440f DelimitedFiles
8ba89e20 Distributed
b77e0a4c InteractiveUtils
76f85450 LibGit2
8f399da3 Libdl
37e2e46d LinearAlgebra
56ddb016 Logging
d6f4376e Markdown
a63ad114 Mmap
44cfe95a Pkg
de0858da Printf
3fa0cd96 REPL
9a3f8284 Random
ea8e919c SHA
9e88b42a Serialization
1a1011a3 SharedArrays
6462fe0b Sockets
2f01184e SparseArrays
10745b16 Statistics
8dfed614 Test
cf7118a7 UUIDs
4ec0a83e Unicode
******************************************************************************
This program contains Ipopt, a library for large-scale nonlinear optimization.
Ipopt is released as open source code under the Eclipse Public License (EPL).
For more information visit http://projects.coin-or.org/Ipopt
******************************************************************************
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 10
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.6109693e+01 1.12e+01 5.28e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.6982239e+01 7.30e-01 1.02e+01 -1.0 6.11e-01 - 7.19e-02 1.00e+00f 1
2 1.7318411e+01 3.60e-02 5.05e-01 -1.0 1.61e-01 - 1.00e+00 1.00e+00h 1
3 1.6849424e+01 2.78e-01 6.68e-02 -1.7 2.85e-01 - 7.94e-01 1.00e+00h 1
4 1.7051199e+01 4.71e-03 2.78e-03 -1.7 6.06e-02 - 1.00e+00 1.00e+00h 1
5 1.7011979e+01 7.19e-03 8.50e-03 -3.8 3.66e-02 - 9.45e-01 9.98e-01h 1
6 1.7014271e+01 1.74e-05 9.78e-06 -3.8 3.33e-03 - 1.00e+00 1.00e+00h 1
7 1.7014021e+01 1.23e-07 1.82e-07 -5.7 2.69e-04 - 1.00e+00 1.00e+00h 1
8 1.7014017e+01 1.77e-11 2.52e-11 -8.6 3.32e-06 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: 1.7014017145179160e+01 1.7014017145179160e+01
Dual infeasibility......: 2.5164268330575961e-11 2.5164268330575961e-11
Constraint violation....: 1.7706724975141697e-11 1.7706724975141697e-11
Complementarity.........: 2.5277100427932987e-09 2.5277100427932987e-09
Overall NLP error.......: 2.5277100427932987e-09 2.5277100427932987e-09
Number of objective function evaluations = 9
Number of objective gradient evaluations = 9
Number of equality constraint evaluations = 9
Number of inequality constraint evaluations = 9
Number of equality constraint Jacobian evaluations = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations = 8
Total CPU secs in IPOPT (w/o function evaluations) = 0.143
Total CPU secs in NLP function evaluations = 0.028
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 10
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.7159878e+01 2.01e-02 5.20e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.7146308e+01 2.06e-02 1.47e-01 -1.0 1.15e-01 - 9.86e-01 1.00e+00f 1
Number of Iterations....: 1
(scaled) (unscaled)
Objective...............: 1.7146307787804172e+01 1.7146307787804172e+01
Dual infeasibility......: 1.4659378128596279e-01 1.4659378128596279e-01
Constraint violation....: 2.0600446810355777e-02 2.0600446810355777e-02
Complementarity.........: 2.2602930210765068e-01 2.2602930210765068e-01
Overall NLP error.......: 2.2602930210765068e-01 2.2602930210765068e-01
Number of objective function evaluations = 2
Number of objective gradient evaluations = 2
Number of equality constraint evaluations = 2
Number of inequality constraint evaluations = 2
Number of equality constraint Jacobian evaluations = 2
Number of inequality constraint Jacobian evaluations = 2
Number of Lagrangian Hessian evaluations = 1
Total CPU secs in IPOPT (w/o function evaluations) = 0.009
Total CPU secs in NLP function evaluations = 0.000
EXIT: Stopping optimization at current point as requested by user.
String option
Int option
Float option
Ipopt 3.12.10 (Linux x86_64), ASL(20160307)
Test Summary: | Pass Total
C API | 11 11
Setting: "badoption" is not a valid setting for Option: hessian_approximation. Check the option documentation.
### hessian_approximation (String) ###
Category: Hessian Approximation
Description: Indicates what Hessian information is to be used.
Valid Settings:
exact (Use second derivatives provided by the NLP.)
limited-memory (Perform a limited-memory quasi-Newton approximation)
Default: "exact"
Setting: "-1" is not a valid setting for Option: file_print_level. Check the option documentation.
### file_print_level (Integer) ###
Category: Output
Description: Verbosity level for output file.
0 <= (5) <= 12
Setting: "-1" is not a valid setting for Option: derivative_test_tol. Check the option documentation.
### derivative_test_tol (Real Number) ###
Category: Derivative Checker
Description: Threshold for indicating wrong derivative.
0 < (0.0001) <= +inf
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 2
variables with only lower bounds: 2
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 -9.9999900e-03 0.00e+00 0.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 -1.1447368e-01 0.00e+00 4.57e-01 -1.0 3.06e-01 - 6.84e-01 1.00e+00f 1
2 -7.2703784e-01 0.00e+00 4.30e-02 -1.7 1.25e+00 - 1.00e+00 9.24e-01f 1
3 -7.4256221e-01 0.00e+00 2.83e-08 -2.5 2.57e-02 - 1.00e+00 1.00e+00f 1
4 -7.4969062e-01 0.00e+00 1.50e-09 -3.8 8.30e-03 - 1.00e+00 1.00e+00f 1
5 -7.4999627e-01 0.00e+00 1.84e-11 -5.7 3.07e-04 - 1.00e+00 1.00e+00f 1
6 -7.5000001e-01 0.00e+00 2.51e-14 -8.6 3.74e-06 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 6
(scaled) (unscaled)
Objective...............: -7.5000000747928541e-01 -7.5000000747928541e-01
Dual infeasibility......: 2.5113627760616495e-14 2.5113627760616495e-14
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.5103575950753621e-09 2.5103575950753621e-09
Overall NLP error.......: 2.5103575950753621e-09 2.5103575950753621e-09
Number of objective function evaluations = 7
Number of objective gradient evaluations = 7
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 7
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 7
Number of Lagrangian Hessian evaluations = 6
Total CPU secs in IPOPT (w/o function evaluations) = 0.280
Total CPU secs in NLP function evaluations = 0.231
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 2
variables with only lower bounds: 2
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 -9.9999900e-03 0.00e+00 0.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 -1.1447368e-01 0.00e+00 4.57e-01 -1.0 3.06e-01 - 6.84e-01 1.00e+00f 1
2 -7.2703784e-01 0.00e+00 4.30e-02 -1.7 1.25e+00 - 1.00e+00 9.24e-01f 1
3 -7.4256221e-01 0.00e+00 2.83e-08 -2.5 2.57e-02 - 1.00e+00 1.00e+00f 1
4 -7.4969062e-01 0.00e+00 1.50e-09 -3.8 8.30e-03 - 1.00e+00 1.00e+00f 1
5 -7.4999627e-01 0.00e+00 1.84e-11 -5.7 3.07e-04 - 1.00e+00 1.00e+00f 1
6 -7.5000001e-01 0.00e+00 2.51e-14 -8.6 3.74e-06 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 6
(scaled) (unscaled)
Objective...............: -7.5000000747928541e-01 -7.5000000747928541e-01
Dual infeasibility......: 2.5113627760616495e-14 2.5113627760616495e-14
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.5103575950753621e-09 2.5103575950753621e-09
Overall NLP error.......: 2.5103575950753621e-09 2.5103575950753621e-09
Number of objective function evaluations = 7
Number of objective gradient evaluations = 7
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 7
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 7
Number of Lagrangian Hessian evaluations = 6
Total CPU secs in IPOPT (w/o function evaluations) = 0.004
Total CPU secs in NLP function evaluations = 0.000
EXIT: Optimal Solution Found.
┌ Warning: Element type Int64 does not have an infinite value. Note that this may artifically introduce ranged (two-sided) constraints. To avoid this, consider casting the problem data to Float64.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rr4Xh/src/HighLevelInterface/HighLevelInterface.jl:8
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 2
variables with only lower bounds: 2
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 1
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 9.9999900e-03 1.03e+00 8.33e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 9.9990000e-05 1.01e+00 4.53e+01 -1.0 3.83e-01 - 9.90e-01 2.58e-02h 1
2 2.8879429e-05 1.00e+00 3.58e+03 -1.0 5.01e-01 - 9.90e-01 1.28e-02h 1
3 2.8732641e-07 1.00e+00 1.92e+07 -1.0 3.46e-01 - 9.90e-01 1.85e-04h 1
4r 2.8732641e-07 1.00e+00 1.00e+03 0.0 0.00e+00 - 0.00e+00 4.67e-07R 3
5r 9.9969511e-04 1.00e+00 9.97e+00 0.0 4.00e-03 - 9.90e-01 1.00e+00f 1
6r 4.9798661e-04 1.00e+00 8.98e-02 0.0 1.00e-03 - 9.91e-01 1.00e+00f 1
7r 1.9513382e-05 1.00e+00 1.20e-02 -1.4 3.36e-03 - 9.94e-01 1.00e+00f 1
8r 3.4684297e-07 1.00e+00 1.87e-08 -3.1 1.34e-04 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: -9.9583877308489748e-09 -9.9583877308489748e-09
Dual infeasibility......: 1.0000000079514848e+00 1.0000000079514848e+00
Constraint violation....: 9.9999996016644899e-01 9.9999996016644899e-01
Complementarity.........: 8.3739702929516048e-08 8.3739702929516048e-08
Overall NLP error.......: 9.9999996016644899e-01 1.0000000079514848e+00
Number of objective function evaluations = 13
Number of objective gradient evaluations = 6
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 13
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 11
Number of Lagrangian Hessian evaluations = 9
Total CPU secs in IPOPT (w/o function evaluations) = 0.008
Total CPU secs in NLP function evaluations = 0.000
EXIT: Converged to a point of local infeasibility. Problem may be infeasible.
┌ Warning: Problem is infeasible, but infeasibility ray ("Farkas proof") is unavailable; check that the proper solver options are set.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rr4Xh/src/HighLevelInterface/linprog.jl:89
┌ Warning: Element type Int64 does not have an infinite value. Note that this may artifically introduce ranged (two-sided) constraints. To avoid this, consider casting the problem data to Float64.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rr4Xh/src/HighLevelInterface/HighLevelInterface.jl:8
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 2
variables with only lower bounds: 2
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 1
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 -1.9999980e-02 1.00e-02 2.33e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 -2.0166663e-01 0.00e+00 4.84e+00 -1.0 1.48e-01 - 1.70e-01 1.00e+00f 1
2 -7.7864804e-01 0.00e+00 4.23e+00 -1.0 4.33e-01 - 3.15e-01 1.00e+00f 1
3 -8.8868649e+00 0.00e+00 1.63e+00 -1.0 5.38e+00 - 1.07e-01 1.00e+00f 1
4 -5.6819241e+02 0.00e+00 2.79e+00 -1.0 3.73e+02 - 1.54e-02 1.00e+00f 1
5 -1.6377850e+06 0.00e+00 1.27e+00 -1.0 1.09e+06 - 3.43e-04 1.00e+00f 1
6 -4.3576977e+11 0.00e+00 1.17e+00 -1.0 2.91e+11 - 3.72e-06 1.00e+00f 1
7 -4.0497367e+16 0.00e+00 1.17e+00 -1.0 2.70e+16 - 1.07e-05 1.00e+00f 1
8 -4.0497367e+16 0.00e+00 1.20e+00 -1.0 1.20e+04 -4.0 9.90e-01 1.00e+00f 1
9 -4.0497367e+16 0.00e+00 1.20e+00 -1.0 3.60e+04 -4.5 9.90e-01 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
10 -1.0129590e+17 0.00e+00 1.20e+00 -1.0 4.05e+16 - 3.96e-01 1.00e+00f 1
11 -1.1832087e+17 0.00e+00 1.40e+00 -1.0 8.11e+16 - 4.51e-01 1.40e-01f 1
12 -1.1832087e+17 0.00e+00 1.20e+00 -1.0 1.08e+05 -5.0 9.90e-01 1.00e+00f 1
13 -1.2863936e+17 0.00e+00 1.56e+00 -1.0 2.70e+16 - 9.90e-01 2.55e-01f 1
14 -1.2863936e+17 0.00e+00 1.20e+00 -1.0 3.24e+05 -5.4 1.00e+00 1.00e+00f 1
15 -1.4383899e+17 0.00e+00 1.20e+00 -1.0 1.01e+16 - 1.00e+00 1.00e+00f 1
16 -2.2490370e+17 0.00e+00 2.01e+00 -1.0 5.40e+16 - 2.80e-01 1.00e+00f 1
17 -4.1730036e+19 0.00e+00 2.01e+00 -1.0 2.77e+19 - 3.89e-03 1.00e+00f 1
18 -4.1730036e+19 0.00e+00 2.01e+00 -1.0 9.45e+05 -5.9 1.00e+00 4.72e-03f 1
19 -4.1730036e+19 0.00e+00 1.97e+00 -1.0 2.92e+06 -6.4 1.00e+00 2.35e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
20 -4.1745236e+19 0.00e+00 1.97e+00 -1.0 1.01e+16 - 2.88e-01 1.00e+00f 1
21 -4.1745236e+19 0.00e+00 1.93e+00 -1.0 8.75e+06 -6.9 1.00e+00 3.26e-02f 1
22 -4.1747136e+19 0.00e+00 3.73e+00 -1.0 1.27e+15 - 1.00e+00 1.00e+00f 1
23 -4.1747136e+19 0.00e+00 1.20e+00 -1.0 2.62e+07 -7.3 1.00e+00 1.00e+00f 1
24 -4.1807934e+19 0.00e+00 2.01e+00 -1.0 4.05e+16 - 2.80e-01 1.00e+00f 1
25 -7.2936784e+19 0.00e+00 4.84e+00 -1.0 2.08e+19 - 1.03e-03 1.00e+00f 1
26 -7.2936784e+19 0.00e+00 4.84e+00 -1.0 7.73e+07 -7.8 1.00e+00 2.79e-04f 1
27 -7.2936784e+19 0.00e+00 3.31e+00 -1.0 2.36e+08 -8.3 1.00e+00 3.60e-01f 1
28 -7.2967183e+19 0.00e+00 3.31e+00 -1.0 2.03e+16 - 1.46e-01 1.00e+00f 1
29 -7.2967183e+19 0.00e+00 3.28e+00 -1.0 7.09e+08 -8.8 1.00e+00 1.36e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
30 -7.2967183e+19 0.00e+00 1.20e+00 -1.0 2.13e+09 -9.2 1.00e+00 1.00e+00f 1
31 -7.3129313e+19 0.00e+00 3.43e+00 -1.0 1.08e+17 - 1.40e-01 1.00e+00f 1
32 -1.5613958e+20 0.00e+00 3.43e+00 -1.0 5.53e+19 - 1.63e-03 1.00e+00f 1
Number of Iterations....: 32
(scaled) (unscaled)
Objective...............: -1.5613957799791742e+20 -1.5613957799791742e+20
Dual infeasibility......: 3.4284275246391345e+00 3.4284275246391345e+00
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.1352347958057366e-01 2.1352347958057366e-01
Overall NLP error.......: 3.4284275246391345e+00 3.4284275246391345e+00
Number of objective function evaluations = 33
Number of objective gradient evaluations = 33
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 33
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 33
Number of Lagrangian Hessian evaluations = 32
Total CPU secs in IPOPT (w/o function evaluations) = 0.017
Total CPU secs in NLP function evaluations = 0.001
EXIT: Iterates diverging; problem might be unbounded.
┌ Warning: Problem is unbounded, but unbounded ray is unavailable; check that the proper solver options are set.
└ @ MathProgBase.HighLevelInterface ~/.julia/packages/MathProgBase/rr4Xh/src/HighLevelInterface/linprog.jl:97
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 10
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.6109693e+01 1.12e+01 5.28e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.6982239e+01 7.30e-01 1.02e+01 -1.0 6.11e-01 - 7.19e-02 1.00e+00f 1
2 1.7318411e+01 3.60e-02 5.05e-01 -1.0 1.61e-01 - 1.00e+00 1.00e+00h 1
3 1.6849424e+01 2.78e-01 6.68e-02 -1.7 2.85e-01 - 7.94e-01 1.00e+00h 1
4 1.7051199e+01 4.71e-03 2.78e-03 -1.7 6.06e-02 - 1.00e+00 1.00e+00h 1
5 1.7011979e+01 7.19e-03 8.50e-03 -3.8 3.66e-02 - 9.45e-01 9.98e-01h 1
6 1.7014271e+01 1.74e-05 9.78e-06 -3.8 3.33e-03 - 1.00e+00 1.00e+00h 1
7 1.7014021e+01 1.23e-07 1.82e-07 -5.7 2.69e-04 - 1.00e+00 1.00e+00h 1
8 1.7014017e+01 1.77e-11 2.52e-11 -8.6 3.32e-06 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: 1.7014017145179160e+01 1.7014017145179160e+01
Dual infeasibility......: 2.5164268330575961e-11 2.5164268330575961e-11
Constraint violation....: 1.7706724975141697e-11 1.7706724975141697e-11
Complementarity.........: 2.5277100427932987e-09 2.5277100427932987e-09
Overall NLP error.......: 2.5277100427932987e-09 2.5277100427932987e-09
Number of objective function evaluations = 9
Number of objective gradient evaluations = 9
Number of equality constraint evaluations = 9
Number of inequality constraint evaluations = 9
Number of equality constraint Jacobian evaluations = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations = 8
Total CPU secs in IPOPT (w/o function evaluations) = 0.171
Total CPU secs in NLP function evaluations = 0.034
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 10
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.6109693e+01 1.12e+01 5.28e-01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.6982239e+01 7.30e-01 1.02e+01 -1.0 6.11e-01 - 7.19e-02 1.00e+00f 1
2 1.7318411e+01 3.60e-02 5.05e-01 -1.0 1.61e-01 - 1.00e+00 1.00e+00h 1
3 1.6849424e+01 2.78e-01 6.68e-02 -1.7 2.85e-01 - 7.94e-01 1.00e+00h 1
4 1.7051199e+01 4.71e-03 2.78e-03 -1.7 6.06e-02 - 1.00e+00 1.00e+00h 1
5 1.7011979e+01 7.19e-03 8.50e-03 -3.8 3.66e-02 - 9.45e-01 9.98e-01h 1
6 1.7014271e+01 1.74e-05 9.78e-06 -3.8 3.33e-03 - 1.00e+00 1.00e+00h 1
7 1.7014021e+01 1.23e-07 1.82e-07 -5.7 2.69e-04 - 1.00e+00 1.00e+00h 1
8 1.7014017e+01 1.77e-11 2.52e-11 -8.6 3.32e-06 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: 1.7014017145179160e+01 1.7014017145179160e+01
Dual infeasibility......: 2.5164268330575961e-11 2.5164268330575961e-11
Constraint violation....: 1.7706724975141697e-11 1.7706724975141697e-11
Complementarity.........: 2.5277100427932987e-09 2.5277100427932987e-09
Overall NLP error.......: 2.5277100427932987e-09 2.5277100427932987e-09
Number of objective function evaluations = 9
Number of objective gradient evaluations = 9
Number of equality constraint evaluations = 9
Number of inequality constraint evaluations = 9
Number of equality constraint Jacobian evaluations = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations = 8
Total CPU secs in IPOPT (w/o function evaluations) = 0.001
Total CPU secs in NLP function evaluations = 0.000
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.6109693e+01 1.12e+01 5.28e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.7420709e+01 7.49e-01 2.40e+01 -0.3 8.13e-01 - 3.20e-01 1.00e+00f 1
2 1.7120453e+01 2.14e-01 2.00e-01 -0.6 1.02e+00 - 9.97e-01 1.00e+00h 1
3 1.6979032e+01 1.70e-01 8.49e-02 -1.6 1.18e-01 - 9.72e-01 1.00e+00h 1
4 1.6972554e+01 7.69e-02 1.20e-02 -3.2 8.01e-02 - 1.00e+00 1.00e+00h 1
5 1.7013661e+01 6.75e-04 9.50e-03 -4.9 1.00e-02 - 1.00e+00 1.00e+00h 1
6 1.7014018e+01 1.96e-06 3.49e-04 -6.1 1.09e-03 - 1.00e+00 1.00e+00h 1
7 1.7014017e+01 1.47e-09 2.15e-07 -8.2 3.02e-05 - 1.00e+00 1.00e+00h 1
8 1.7014017e+01 0.00e+00 1.69e-09 -11.0 1.17e-08 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: 1.7014017140224176e+01 1.7014017140224176e+01
Dual infeasibility......: 1.6853176362439831e-09 1.6853176362439831e-09
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 1.0002952000760592e-11 1.0002952000760592e-11
Overall NLP error.......: 1.6853176362439831e-09 1.6853176362439831e-09
Number of objective function evaluations = 9
Number of objective gradient evaluations = 9
Number of equality constraint evaluations = 9
Number of inequality constraint evaluations = 9
Number of equality constraint Jacobian evaluations = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations = 0
Total CPU secs in IPOPT (w/o function evaluations) = 0.058
Total CPU secs in NLP function evaluations = 0.019
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 4
Number of nonzeros in inequality constraint Jacobian.: 4
Number of nonzeros in Lagrangian Hessian.............: 0
Total number of variables............................: 4
variables with only lower bounds: 0
variables with lower and upper bounds: 4
variables with only upper bounds: 0
Total number of equality constraints.................: 1
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 1
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 1.6109693e+01 1.12e+01 5.28e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 1.7420709e+01 7.49e-01 2.40e+01 -0.3 8.13e-01 - 3.20e-01 1.00e+00f 1
2 1.7120453e+01 2.14e-01 2.00e-01 -0.6 1.02e+00 - 9.97e-01 1.00e+00h 1
3 1.6979032e+01 1.70e-01 8.49e-02 -1.6 1.18e-01 - 9.72e-01 1.00e+00h 1
4 1.6972554e+01 7.69e-02 1.20e-02 -3.2 8.01e-02 - 1.00e+00 1.00e+00h 1
5 1.7013661e+01 6.75e-04 9.50e-03 -4.9 1.00e-02 - 1.00e+00 1.00e+00h 1
6 1.7014018e+01 1.96e-06 3.49e-04 -6.1 1.09e-03 - 1.00e+00 1.00e+00h 1
7 1.7014017e+01 1.47e-09 2.15e-07 -8.2 3.02e-05 - 1.00e+00 1.00e+00h 1
8 1.7014017e+01 0.00e+00 1.69e-09 -11.0 1.17e-08 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 8
(scaled) (unscaled)
Objective...............: 1.7014017140224176e+01 1.7014017140224176e+01
Dual infeasibility......: 1.6853176362439831e-09 1.6853176362439831e-09
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 1.0002952000760592e-11 1.0002952000760592e-11
Overall NLP error.......: 1.6853176362439831e-09 1.6853176362439831e-09
Number of objective function evaluations = 9
Number of objective gradient evaluations = 9
Number of equality constraint evaluations = 9
Number of inequality constraint evaluations = 9
Number of equality constraint Jacobian evaluations = 9
Number of inequality constraint Jacobian evaluations = 9
Number of Lagrangian Hessian evaluations = 0
Total CPU secs in IPOPT (w/o function evaluations) = 0.006
Total CPU secs in NLP function evaluations = 0.000
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 3
Total number of variables............................: 2
variables with only lower bounds: 0
variables with lower and upper bounds: 2
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 0.0000000e+00 0.00e+00 1.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 -1.5499995e+00 0.00e+00 9.70e-01 -1.0 1.00e+00 - 6.83e-01 1.00e+00f 1
2 -3.3684721e+00 1.23e-01 5.89e-01 -1.7 1.51e+00 0.0 6.42e-01 9.54e-01f 1
3 -3.9741885e+00 9.68e-01 9.57e-02 -1.7 2.80e+00 - 1.00e+00 4.25e-01h 1
4 -3.9687809e+00 9.59e-01 2.44e-01 -1.7 1.32e+00 - 1.00e+00 2.87e-01h 1
5 -3.9481863e+00 9.26e-01 1.87e-01 -1.7 3.19e-01 - 3.46e-02 3.75e-02h 1
6 -3.4559338e+00 1.88e-01 7.87e-02 -1.7 4.82e-01 - 1.00e+00 1.00e+00h 1
7 -3.3770765e+00 9.02e-02 8.25e-02 -1.7 7.39e-02 - 5.32e-01 6.09e-01h 1
8 -3.3181872e+00 1.03e-02 1.90e-02 -2.5 9.62e-02 - 1.00e+00 1.00e+00h 1
9 -3.3094856e+00 9.76e-05 7.03e-04 -3.8 1.08e-02 - 9.89e-01 1.00e+00h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
10 -3.3093993e+00 0.00e+00 1.18e-07 -5.7 1.13e-04 - 1.00e+00 1.00e+00h 1
11 -3.3094011e+00 0.00e+00 2.42e-11 -8.6 2.20e-06 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 11
(scaled) (unscaled)
Objective...............: -3.3094010829284688e+00 -3.3094010829284688e+00
Dual infeasibility......: 2.4180452302933228e-11 2.4180452302933228e-11
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.5290927319670938e-09 2.5290927319670938e-09
Overall NLP error.......: 2.5290927319670938e-09 2.5290927319670938e-09
Number of objective function evaluations = 12
Number of objective gradient evaluations = 12
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 12
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 12
Number of Lagrangian Hessian evaluations = 11
Total CPU secs in IPOPT (w/o function evaluations) = 0.106
Total CPU secs in NLP function evaluations = 0.022
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 2
Number of nonzeros in Lagrangian Hessian.............: 3
Total number of variables............................: 2
variables with only lower bounds: 0
variables with lower and upper bounds: 2
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 1
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 -3.3094011e+00 0.00e+00 9.74e-02 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 -3.2208641e+00 0.00e+00 1.14e-02 -1.0 9.22e-02 - 1.00e+00 1.00e+00f 1
2 -3.3108681e+00 1.95e-03 2.16e-03 -2.5 1.06e-01 - 1.00e+00 9.62e-01f 1
3 -3.3094591e+00 6.73e-05 9.20e-04 -3.8 9.58e-03 - 1.00e+00 1.00e+00h 1
4 -3.3093998e+00 0.00e+00 1.57e-06 -5.7 3.63e-04 - 1.00e+00 1.00e+00h 1
5 -3.3094011e+00 0.00e+00 4.82e-11 -8.6 2.51e-06 - 1.00e+00 1.00e+00h 1
Number of Iterations....: 5
(scaled) (unscaled)
Objective...............: -3.3094010829363834e+00 -3.3094010829363834e+00
Dual infeasibility......: 4.8183660518598715e-11 4.8183660518598715e-11
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.5468012068635348e-09 2.5468012068635348e-09
Overall NLP error.......: 2.5468012068635348e-09 2.5468012068635348e-09
Number of objective function evaluations = 6
Number of objective gradient evaluations = 6
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 6
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 6
Number of Lagrangian Hessian evaluations = 5
Total CPU secs in IPOPT (w/o function evaluations) = 0.003
Total CPU secs in NLP function evaluations = 0.000
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 0
Number of nonzeros in Lagrangian Hessian.............: 3
Total number of variables............................: 2
variables with only lower bounds: 0
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 0
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 8.1008100e+05 0.00e+00 1.00e+02 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 8.0991001e+01 0.00e+00 5.00e-03 -1.0 9.00e+01 - 1.00e+00 1.00e+00f 1
2 7.6633847e+01 0.00e+00 9.02e-02 -3.8 1.80e+02 - 1.00e+00 3.12e-02f 6
3 7.4460854e+01 0.00e+00 2.79e-01 -3.8 1.00e+01 - 1.00e+00 1.00e+00f 1
4 6.4854348e+01 0.00e+00 2.70e-02 -3.8 2.49e+00 - 1.00e+00 1.00e+00f 1
5 6.1324534e+01 0.00e+00 1.50e-01 -3.8 2.65e+01 - 1.00e+00 2.50e-01f 3
6 5.5682148e+01 0.00e+00 6.07e-02 -3.8 4.11e+00 - 1.00e+00 1.00e+00f 1
7 5.2401345e+01 0.00e+00 1.05e-01 -3.8 9.55e+00 - 1.00e+00 5.00e-01f 2
8 4.7754183e+01 0.00e+00 8.64e-02 -3.8 4.91e+00 - 1.00e+00 1.00e+00f 1
9 4.3662081e+01 0.00e+00 1.02e-01 -3.8 5.29e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
10 3.9394585e+01 0.00e+00 5.99e-02 -3.8 3.86e+00 - 1.00e+00 1.00e+00f 1
11 3.6854350e+01 0.00e+00 1.33e-01 -3.8 5.93e+00 - 1.00e+00 1.00e+00f 1
12 3.2085703e+01 0.00e+00 2.32e-02 -3.8 2.07e+00 - 1.00e+00 1.00e+00f 1
13 3.1530610e+01 0.00e+00 1.46e-01 -3.8 1.17e+01 - 1.00e+00 5.00e-01f 2
14 2.5979012e+01 0.00e+00 1.30e-02 -3.8 1.32e+00 - 1.00e+00 1.00e+00f 1
15 2.4078492e+01 0.00e+00 7.46e-02 -3.8 1.55e+01 - 1.00e+00 2.50e-01f 3
16 2.1087884e+01 0.00e+00 2.83e-02 -3.8 2.25e+00 - 1.00e+00 1.00e+00f 1
17 1.9387060e+01 0.00e+00 5.03e-02 -3.8 5.43e+00 - 1.00e+00 5.00e-01f 2
18 1.7017660e+01 0.00e+00 3.80e-02 -3.8 2.60e+00 - 1.00e+00 1.00e+00f 1
19 1.5063675e+01 0.00e+00 4.92e-02 -3.8 2.96e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
20 1.2958390e+01 0.00e+00 2.26e-02 -3.8 1.84e+00 - 1.00e+00 1.00e+00f 1
21 1.2513152e+01 0.00e+00 7.34e-02 -3.8 3.55e+00 - 1.00e+00 1.00e+00f 1
22 9.5226477e+00 0.00e+00 6.26e-03 -3.8 6.84e-01 - 1.00e+00 1.00e+00f 1
23 8.5338704e+00 0.00e+00 3.28e-02 -3.8 8.38e+00 - 1.00e+00 2.50e-01f 3
24 7.1136882e+00 0.00e+00 1.47e-02 -3.8 1.31e+00 - 1.00e+00 1.00e+00f 1
25 6.8119498e+00 0.00e+00 4.68e-02 -3.8 2.54e+00 - 1.00e+00 1.00e+00f 1
26 4.8721294e+00 0.00e+00 4.03e-03 -3.8 4.60e-01 - 1.00e+00 1.00e+00f 1
27 4.2350045e+00 0.00e+00 1.83e-02 -3.8 5.49e+00 - 1.00e+00 2.50e-01f 3
28 3.3933446e+00 0.00e+00 1.06e-02 -3.8 9.96e-01 - 1.00e+00 1.00e+00f 1
29 2.8588540e+00 0.00e+00 1.93e-02 -3.8 1.40e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
30 2.1180181e+00 0.00e+00 4.22e-03 -3.8 5.09e-01 - 1.00e+00 1.00e+00f 1
31 1.7857252e+00 0.00e+00 1.29e-02 -3.8 2.01e+00 - 1.00e+00 5.00e-01f 2
32 1.2901521e+00 0.00e+00 3.76e-03 -3.8 4.67e-01 - 1.00e+00 1.00e+00f 1
33 1.0408718e+00 0.00e+00 7.23e-03 -3.8 1.30e+00 - 1.00e+00 5.00e-01f 2
34 7.3496094e-01 0.00e+00 4.30e-03 -3.8 5.10e-01 - 1.00e+00 1.00e+00f 1
35 5.3205719e-01 0.00e+00 6.07e-03 -3.8 6.27e-01 - 1.00e+00 1.00e+00f 1
36 3.3053300e-01 0.00e+00 1.79e-03 -3.8 2.74e-01 - 1.00e+00 1.00e+00f 1
37 3.2727124e-01 0.00e+00 6.94e-03 -3.8 6.55e-01 - 1.00e+00 1.00e+00f 1
38 1.0342719e-01 0.00e+00 3.68e-04 -3.8 5.29e-02 - 1.00e+00 1.00e+00f 1
39 6.6217406e-02 0.00e+00 2.35e-03 -5.7 6.73e-01 - 1.00e+00 5.00e-01f 2
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
40 2.2745202e-02 0.00e+00 3.32e-04 -5.7 8.84e-02 - 1.00e+00 1.00e+00f 1
41 1.5172949e-02 0.00e+00 1.36e-03 -5.7 2.45e-01 - 1.00e+00 1.00e+00f 1
42 8.6032066e-04 0.00e+00 3.46e-05 -5.7 1.48e-02 - 1.00e+00 1.00e+00f 1
43 6.5696724e-05 0.00e+00 9.01e-05 -5.7 5.83e-02 - 1.00e+00 1.00e+00f 1
44 1.5884129e-08 0.00e+00 1.38e-07 -5.7 7.81e-04 - 1.00e+00 1.00e+00f 1
45 2.5336289e-14 0.00e+00 1.77e-09 -8.6 2.51e-04 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 45
(scaled) (unscaled)
Objective...............: 7.0375062599303445e-18 2.5336289286876029e-14
Dual infeasibility......: 1.7687817079841355e-09 6.3679325294503244e-06
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 0.0000000000000000e+00 0.0000000000000000e+00
Overall NLP error.......: 1.7687817079841355e-09 6.3679325294503244e-06
Number of objective function evaluations = 109
Number of objective gradient evaluations = 46
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 0
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 0
Number of Lagrangian Hessian evaluations = 45
Total CPU secs in IPOPT (w/o function evaluations) = 0.121
Total CPU secs in NLP function evaluations = 0.011
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 0
Number of nonzeros in Lagrangian Hessian.............: 3
Total number of variables............................: 2
variables with only lower bounds: 0
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 0
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 8.1008100e+05 0.00e+00 1.00e+02 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 8.0991001e+01 0.00e+00 5.00e-03 -1.0 9.00e+01 - 1.00e+00 1.00e+00f 1
2 7.6633847e+01 0.00e+00 9.02e-02 -3.8 1.80e+02 - 1.00e+00 3.12e-02f 6
3 7.4460854e+01 0.00e+00 2.79e-01 -3.8 1.00e+01 - 1.00e+00 1.00e+00f 1
4 6.4854348e+01 0.00e+00 2.70e-02 -3.8 2.49e+00 - 1.00e+00 1.00e+00f 1
5 6.1324534e+01 0.00e+00 1.50e-01 -3.8 2.65e+01 - 1.00e+00 2.50e-01f 3
6 5.5682148e+01 0.00e+00 6.07e-02 -3.8 4.11e+00 - 1.00e+00 1.00e+00f 1
7 5.2401345e+01 0.00e+00 1.05e-01 -3.8 9.55e+00 - 1.00e+00 5.00e-01f 2
8 4.7754183e+01 0.00e+00 8.64e-02 -3.8 4.91e+00 - 1.00e+00 1.00e+00f 1
9 4.3662081e+01 0.00e+00 1.02e-01 -3.8 5.29e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
10 3.9394585e+01 0.00e+00 5.99e-02 -3.8 3.86e+00 - 1.00e+00 1.00e+00f 1
11 3.6854350e+01 0.00e+00 1.33e-01 -3.8 5.93e+00 - 1.00e+00 1.00e+00f 1
12 3.2085703e+01 0.00e+00 2.32e-02 -3.8 2.07e+00 - 1.00e+00 1.00e+00f 1
13 3.1530610e+01 0.00e+00 1.46e-01 -3.8 1.17e+01 - 1.00e+00 5.00e-01f 2
14 2.5979012e+01 0.00e+00 1.30e-02 -3.8 1.32e+00 - 1.00e+00 1.00e+00f 1
15 2.4078492e+01 0.00e+00 7.46e-02 -3.8 1.55e+01 - 1.00e+00 2.50e-01f 3
16 2.1087884e+01 0.00e+00 2.83e-02 -3.8 2.25e+00 - 1.00e+00 1.00e+00f 1
17 1.9387060e+01 0.00e+00 5.03e-02 -3.8 5.43e+00 - 1.00e+00 5.00e-01f 2
18 1.7017660e+01 0.00e+00 3.80e-02 -3.8 2.60e+00 - 1.00e+00 1.00e+00f 1
19 1.5063675e+01 0.00e+00 4.92e-02 -3.8 2.96e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
20 1.2958390e+01 0.00e+00 2.26e-02 -3.8 1.84e+00 - 1.00e+00 1.00e+00f 1
21 1.2513152e+01 0.00e+00 7.34e-02 -3.8 3.55e+00 - 1.00e+00 1.00e+00f 1
22 9.5226477e+00 0.00e+00 6.26e-03 -3.8 6.84e-01 - 1.00e+00 1.00e+00f 1
23 8.5338704e+00 0.00e+00 3.28e-02 -3.8 8.38e+00 - 1.00e+00 2.50e-01f 3
24 7.1136882e+00 0.00e+00 1.47e-02 -3.8 1.31e+00 - 1.00e+00 1.00e+00f 1
25 6.8119498e+00 0.00e+00 4.68e-02 -3.8 2.54e+00 - 1.00e+00 1.00e+00f 1
26 4.8721294e+00 0.00e+00 4.03e-03 -3.8 4.60e-01 - 1.00e+00 1.00e+00f 1
27 4.2350045e+00 0.00e+00 1.83e-02 -3.8 5.49e+00 - 1.00e+00 2.50e-01f 3
28 3.3933446e+00 0.00e+00 1.06e-02 -3.8 9.96e-01 - 1.00e+00 1.00e+00f 1
29 2.8588540e+00 0.00e+00 1.93e-02 -3.8 1.40e+00 - 1.00e+00 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
30 2.1180181e+00 0.00e+00 4.22e-03 -3.8 5.09e-01 - 1.00e+00 1.00e+00f 1
31 1.7857252e+00 0.00e+00 1.29e-02 -3.8 2.01e+00 - 1.00e+00 5.00e-01f 2
32 1.2901521e+00 0.00e+00 3.76e-03 -3.8 4.67e-01 - 1.00e+00 1.00e+00f 1
33 1.0408718e+00 0.00e+00 7.23e-03 -3.8 1.30e+00 - 1.00e+00 5.00e-01f 2
34 7.3496094e-01 0.00e+00 4.30e-03 -3.8 5.10e-01 - 1.00e+00 1.00e+00f 1
35 5.3205719e-01 0.00e+00 6.07e-03 -3.8 6.27e-01 - 1.00e+00 1.00e+00f 1
36 3.3053300e-01 0.00e+00 1.79e-03 -3.8 2.74e-01 - 1.00e+00 1.00e+00f 1
37 3.2727124e-01 0.00e+00 6.94e-03 -3.8 6.55e-01 - 1.00e+00 1.00e+00f 1
38 1.0342719e-01 0.00e+00 3.68e-04 -3.8 5.29e-02 - 1.00e+00 1.00e+00f 1
39 6.6217406e-02 0.00e+00 2.35e-03 -5.7 6.73e-01 - 1.00e+00 5.00e-01f 2
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
40 2.2745202e-02 0.00e+00 3.32e-04 -5.7 8.84e-02 - 1.00e+00 1.00e+00f 1
41 1.5172949e-02 0.00e+00 1.36e-03 -5.7 2.45e-01 - 1.00e+00 1.00e+00f 1
42 8.6032066e-04 0.00e+00 3.46e-05 -5.7 1.48e-02 - 1.00e+00 1.00e+00f 1
43 6.5696724e-05 0.00e+00 9.01e-05 -5.7 5.83e-02 - 1.00e+00 1.00e+00f 1
44 1.5884129e-08 0.00e+00 1.38e-07 -5.7 7.81e-04 - 1.00e+00 1.00e+00f 1
45 2.5336289e-14 0.00e+00 1.77e-09 -8.6 2.51e-04 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 45
(scaled) (unscaled)
Objective...............: 7.0375062599303445e-18 2.5336289286876029e-14
Dual infeasibility......: 1.7687817079841355e-09 6.3679325294503244e-06
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 0.0000000000000000e+00 0.0000000000000000e+00
Overall NLP error.......: 1.7687817079841355e-09 6.3679325294503244e-06
Number of objective function evaluations = 109
Number of objective gradient evaluations = 46
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 0
Number of equality constraint Jacobian evaluations = 0
Number of inequality constraint Jacobian evaluations = 0
Number of Lagrangian Hessian evaluations = 45
Total CPU secs in IPOPT (w/o function evaluations) = 0.016
Total CPU secs in NLP function evaluations = 0.001
EXIT: Optimal Solution Found.
This is Ipopt version 3.12.10, running with linear solver mumps.
NOTE: Other linear solvers might be more efficient (see Ipopt documentation).
Number of nonzeros in equality constraint Jacobian...: 0
Number of nonzeros in inequality constraint Jacobian.: 5
Number of nonzeros in Lagrangian Hessian.............: 5
Total number of variables............................: 3
variables with only lower bounds: 0
variables with lower and upper bounds: 0
variables with only upper bounds: 0
Total number of equality constraints.................: 0
Total number of inequality constraints...............: 2
inequality constraints with only lower bounds: 2
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 0
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 0.0000000e+00 4.00e+00 1.00e+00 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
1 2.0292095e+00 0.00e+00 1.00e-06 -1.0 8.40e-01 - 1.00e+00 1.00e+00h 1
2 1.8730894e+00 0.00e+00 2.83e-08 -2.5 1.06e-01 - 1.00e+00 1.00e+00f 1
3 1.8576864e+00 0.00e+00 1.50e-09 -3.8 1.34e-02 - 1.00e+00 1.00e+00f 1
4 1.8571468e+00 0.00e+00 1.84e-11 -5.7 4.61e-04 - 1.00e+00 1.00e+00f 1
5 1.8571428e+00 0.00e+00 2.51e-14 -8.6 2.57e-06 - 1.00e+00 1.00e+00f 1
Number of Iterations....: 5
(scaled) (unscaled)
Objective...............: 1.8571428250202391e+00 1.8571428250202391e+00
Dual infeasibility......: 2.5091040356528538e-14 2.5091040356528538e-14
Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00
Complementarity.........: 2.5138314144122443e-09 2.5138314144122443e-09
Overall NLP error.......: 2.5138314144122443e-09 2.5138314144122443e-09
Number of objective function evaluations = 6
Number of objective gradient evaluations = 6
Number of equality constraint evaluations = 0
Number of inequality constraint evaluations = 6
Number of equality constraint Jacobian evaluations = 0