Dear all,
I encounter long evaluation times and slow convergence in an AC security constraint optimal power flow (SCOPF) optimization. The problem is modelled with PowerModels and JuMP. The NLP evaluation time is higher than the time for Ipopt itself.
Total seconds in IPOPT (w/o function evaluations) = 61.769
Total seconds in NLP function evaluations = 69.785
Are there any suggestions or indications on how to improve the performance of the solving process? Your help is highly appreciated.
Below you will find the Ipopt log:
List of user-set options:
Name Value used
acceptable_iter = 5 yes
acceptable_tol = 0.1 yes
check_derivatives_for_naninf = yes yes
compl_inf_tol = 0.001 yes
constr_viol_tol = 0.01 yes
hsllib = \HSL\JuliaHSL\lbt_HSL_jll.jl-2023.5.26\HSL_jll.jl-2023.5.26\override\bin\x86_64-w64-mingw32-libgfortran5\libhsl.dll yes
linear_solver = ma57 yes
max_iter = 700 yes
obj_scaling_factor = 1 yes
print_level = 5 yes
print_timing_statistics = yes yes
print_user_options = yes yes
tol = 0.01 yes
warm_start_init_point = yes yes
This is Ipopt version 3.14.13, running with linear solver ma57.
Number of nonzeros in equality constraint Jacobian...: 250815
Number of nonzeros in inequality constraint Jacobian.: 41004
Number of nonzeros in Lagrangian Hessian.............: 371090
Total number of variables............................: 73711
variables with only lower bounds: 1584
variables with lower and upper bounds: 26292
variables with only upper bounds: 1584
Total number of equality constraints.................: 70747
Total number of inequality constraints...............: 27608
inequality constraints with only lower bounds: 0
inequality constraints with lower and upper bounds: 0
inequality constraints with only upper bounds: 27608
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
0 9.1716842e+01 9.38e+00 3.00e+01 -1.0 0.00e+00 - 0.00e+00 0.00e+00 0
Reallocating memory for MA57: lfact (4602841)
1 4.3180404e+01 9.38e+00 3.00e+01 -1.0 1.16e+02 -2.0 6.01e-04 1.33e-04f 1
2 1.8568919e+02 9.36e+00 2.99e+01 -1.0 6.42e+01 -1.6 2.85e-03 2.60e-03f 1
3 1.1234750e+02 9.32e+00 2.98e+01 -1.0 9.91e+00 -0.2 4.61e-03 4.05e-03f 1
4 1.1873445e+02 9.27e+00 2.97e+01 -1.0 9.95e+00 0.2 4.28e-03 5.81e-03f 1
5 1.2573785e+02 9.23e+00 2.95e+01 -1.0 1.02e+01 0.6 8.90e-03 4.07e-03f 1
6 1.5780528e+02 9.06e+00 2.90e+01 -1.0 1.00e+01 0.1 1.58e-02 1.86e-02f 1
7 1.6383345e+02 9.03e+00 2.90e+01 -1.0 9.97e+00 0.6 1.59e-02 2.84e-03f 1
8 1.7170531e+02 9.00e+00 2.89e+01 -1.0 1.00e+01 1.0 1.71e-02 3.39e-03f 1
9 2.0612521e+02 8.86e+00 2.85e+01 -1.0 9.95e+00 0.5 2.41e-02 1.53e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
10 2.2128040e+02 8.81e+00 2.83e+01 -1.0 9.85e+00 0.9 2.32e-02 6.20e-03f 1
11 2.8837520e+02 8.55e+00 2.74e+01 -1.0 9.76e+00 0.5 3.33e-02 2.88e-02f 1
12 3.2302020e+02 8.44e+00 2.70e+01 -1.0 9.52e+00 0.9 9.33e-03 1.40e-02f 1
13 3.4104303e+02 8.37e+00 2.68e+01 -1.0 9.40e+00 1.3 1.83e-02 7.22e-03f 1
14 4.1952990e+02 8.11e+00 3.23e+01 -1.0 9.33e+00 0.8 1.02e-01 3.18e-02f 1
15 5.3188049e+02 7.70e+00 3.32e+01 -1.0 8.98e+00 0.4 1.38e-01 5.05e-02f 1
16 5.3755905e+02 7.68e+00 5.65e+01 -1.0 8.56e+00 0.8 1.59e-01 2.48e-03f 1
17 6.3886075e+02 7.30e+00 5.21e+01 -1.0 8.58e+00 0.3 2.03e-01 4.92e-02f 1
18 6.9565220e+02 7.11e+00 5.44e+01 -1.0 8.25e+00 0.7 5.37e-02 2.65e-02f 1
19 7.9883169e+02 6.71e+00 5.45e+01 -1.0 8.13e+00 0.2 1.47e-01 5.67e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
20 8.4943970e+02 6.53e+00 5.10e+01 -1.0 7.74e+00 0.7 1.57e-02 2.63e-02f 1
21 9.1263316e+02 6.27e+00 4.90e+01 -1.0 7.55e+00 0.2 3.79e-02 4.00e-02f 1
22 9.6314034e+02 6.09e+00 4.62e+01 -1.0 7.28e+00 0.6 1.98e-02 2.87e-02f 1
23 9.8303312e+02 6.02e+00 5.00e+01 -1.0 7.10e+00 1.0 1.92e-02 1.09e-02f 1
24 1.0224924e+03 5.88e+00 5.22e+01 -1.0 7.01e+00 0.6 5.63e-02 2.42e-02f 1
25 1.0379435e+03 5.82e+00 5.12e+01 -1.0 6.84e+00 1.0 8.01e-03 9.19e-03f 1
26 1.0558877e+03 5.75e+00 5.15e+01 -1.0 6.72e+00 0.5 2.39e-02 1.18e-02f 1
27 1.1105068e+03 5.56e+00 4.64e+01 -1.0 6.66e+00 0.9 2.39e-02 3.35e-02f 1
28 1.2114942e+03 5.17e+00 4.11e+01 -1.0 6.43e+00 0.5 1.62e-02 7.08e-02f 1
29 1.2272061e+03 5.11e+00 5.05e+01 -1.0 6.02e+00 0.9 4.90e-02 1.09e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
30 1.2406552e+03 5.06e+00 5.86e+01 -1.0 5.92e+00 0.4 4.95e-02 1.06e-02f 1
31 1.2849234e+03 4.89e+00 4.54e+01 -1.0 5.89e+00 0.8 1.77e-02 3.20e-02f 1
32 1.3198929e+03 4.75e+00 4.43e+01 -1.0 5.66e+00 0.4 1.89e-02 2.93e-02f 1
33 1.3553176e+03 4.62e+00 4.25e+01 -1.0 5.54e+00 0.8 2.31e-02 2.75e-02f 1
34 1.4023239e+03 4.42e+00 3.76e+01 -1.0 5.34e+00 0.3 1.12e-01 4.23e-02f 1
35 1.4079102e+03 4.40e+00 6.36e+01 -1.0 5.16e+00 0.7 4.34e-02 4.61e-03h 1
36 1.4433519e+03 4.28e+00 3.31e+01 -1.0 5.16e+00 1.2 1.30e-02 2.78e-02h 1
37 1.4790161e+03 4.15e+00 4.01e+01 -1.0 5.00e+00 0.7 4.51e-02 3.05e-02f 1
38 1.5041851e+03 4.07e+00 3.86e+01 -1.0 4.86e+00 1.1 2.02e-02 2.06e-02h 1
39 1.5323190e+03 3.96e+00 5.45e+01 -1.0 4.74e+00 0.6 6.91e-02 2.54e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
40 1.5474848e+03 3.91e+00 5.34e+01 -1.0 4.64e+00 1.1 1.36e-02 1.38e-02h 1
41 1.5985807e+03 3.71e+00 5.11e+01 -1.0 4.58e+00 0.6 5.34e-02 5.16e-02f 1
42 1.6230259e+03 3.62e+00 1.12e+02 -1.0 4.37e+00 1.0 5.13e-02 2.42e-02h 1
43 1.7076968e+03 3.27e+00 1.27e+02 -1.0 4.26e+00 0.5 1.72e-01 9.47e-02f 1
44 1.7112064e+03 3.26e+00 2.51e+02 -1.0 3.87e+00 1.0 7.43e-02 3.92e-03h 1
45 1.7593780e+03 3.06e+00 2.34e+02 -1.0 3.85e+00 0.5 1.28e-01 6.04e-02f 1
46 1.7665410e+03 3.04e+00 2.38e+02 -1.0 3.76e+00 0.9 1.32e-02 8.30e-03h 1
47 1.7819511e+03 2.98e+00 2.33e+02 -1.0 3.78e+00 0.4 1.62e-02 2.00e-02h 1
48 1.7985805e+03 2.92e+00 2.72e+02 -1.0 3.56e+00 0.9 4.58e-02 1.96e-02h 1
49 1.8442748e+03 2.73e+00 2.59e+02 -1.0 3.54e+00 0.4 1.66e-02 6.39e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
50 1.8743367e+03 2.63e+00 2.76e+02 -1.0 3.31e+00 0.8 6.25e-02 3.91e-02h 1
51 1.9238778e+03 2.42e+00 2.57e+02 -1.0 3.27e+00 0.3 7.01e-02 8.00e-02f 1
52 1.9828630e+03 2.20e+00 2.10e+02 -1.0 3.02e+00 0.8 5.22e-02 8.74e-02h 1
53 2.0095513e+03 2.08e+00 1.93e+02 -1.0 2.77e+00 0.3 6.51e-02 5.52e-02f 1
54 2.0394719e+03 1.97e+00 2.04e+02 -1.0 2.65e+00 0.7 1.07e-01 5.27e-02h 1
55 2.0851337e+03 1.75e+00 1.53e+02 -1.0 2.48e+00 0.2 1.59e-01 1.11e-01f 1
56 2.1027078e+03 1.69e+00 1.49e+02 -1.0 2.43e+00 0.7 5.20e-02 3.71e-02h 1
57 2.1297528e+03 1.60e+00 8.57e+01 -1.0 2.34e+00 1.1 2.07e-02 5.28e-02h 1
58 2.1464470e+03 1.54e+00 7.32e+01 -1.0 2.23e+00 0.6 1.34e-01 3.91e-02h 1
59 2.1713332e+03 1.46e+00 4.88e+01 -1.0 2.16e+00 1.0 3.45e-02 5.24e-02h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
60 2.1868472e+03 1.40e+00 3.97e+01 -1.0 2.04e+00 0.6 2.53e-01 3.96e-02h 1
61 2.2027337e+03 1.35e+00 3.18e+01 -1.0 1.98e+00 1.0 2.53e-02 3.61e-02h 1
62 2.2721944e+03 1.08e+00 2.23e+01 -1.0 1.89e+00 0.5 1.81e-01 1.96e-01f 1
63 2.3057196e+03 9.75e-01 2.35e+02 -1.0 1.55e+00 0.9 3.46e-01 1.01e-01h 1
64 2.3301365e+03 8.70e-01 1.83e+02 -1.0 1.32e+00 0.5 1.73e-01 1.08e-01h 1
65 2.3426662e+03 8.28e-01 1.86e+02 -1.0 1.23e+00 0.9 8.38e-02 4.80e-02h 1
66 2.3862557e+03 6.14e-01 1.92e+02 -1.0 1.08e+00 0.4 1.33e-01 2.58e-01f 1
67 2.4189419e+03 4.99e-01 1.67e+02 -1.0 8.33e-01 0.8 4.15e-01 1.88e-01h 1
68 2.4508750e+03 4.02e-01 1.24e+02 -1.0 6.91e-01 1.3 1.85e-01 1.95e-01h 1
69 2.4941566e+03 2.23e-01 4.80e+01 -1.0 5.20e-01 0.8 5.48e-01 4.45e-01h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
70 2.5170285e+03 1.43e-01 3.49e+02 -1.0 2.91e-01 1.2 9.42e-01 3.59e-01h 1
71 2.5153722e+03 4.85e-02 6.93e+01 -1.0 1.92e-01 0.7 5.18e-01 6.61e-01h 1
72 2.5138413e+03 2.45e-02 4.00e+01 -1.0 7.12e-02 1.2 4.71e-01 4.94e-01h 1
73 2.4921549e+03 1.43e-02 2.33e+01 -1.0 2.07e-01 0.7 4.16e-01 4.16e-01f 1
74 2.4809807e+03 5.55e-03 9.09e+02 -1.0 8.69e-02 1.1 8.93e-01 6.13e-01h 1
75 2.4477302e+03 2.71e-03 1.96e+02 -1.0 5.49e-01 0.6 4.02e-01 5.12e-01f 1
76 2.4368487e+03 1.43e-03 8.61e+02 -1.0 1.65e-01 1.0 1.56e-01 4.73e-01h 1
77 2.4051270e+03 7.99e-04 7.38e+02 -1.0 2.40e-01 0.6 7.97e-01 4.58e-01f 1
78 2.4014757e+03 6.83e-04 2.31e+03 -1.0 8.96e-02 1.0 1.00e+00 1.46e-01f 3
79 2.3518603e+03 1.20e-03 1.19e+03 -1.0 2.57e-01 0.5 1.00e+00 6.79e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
80 2.3255123e+03 3.64e-04 9.44e+00 -1.0 9.38e-02 0.9 1.00e+00 1.00e+00f 1
81 2.2740057e+03 1.85e-03 9.76e+02 -1.0 2.50e-01 0.5 1.00e+00 6.91e-01f 1
82 2.2490742e+03 4.66e-04 1.44e+01 -1.0 1.03e-01 0.9 1.00e+00 1.00e+00f 1
83 2.2209735e+03 9.21e-04 1.42e+03 -1.0 2.68e-01 0.4 1.00e+00 3.87e-01f 1
84 2.1973936e+03 6.00e-04 1.99e+02 -1.0 9.67e-02 0.8 1.00e+00 9.11e-01f 1
85 2.1523808e+03 2.39e-03 6.78e+02 -1.0 2.67e-01 0.4 1.00e+00 6.62e-01f 1
86 2.1362393e+03 1.08e-03 6.08e+02 -1.0 9.86e-02 0.8 1.00e+00 6.77e-01f 1
87 2.1059173e+03 3.17e-03 7.12e+02 -1.0 7.30e-01 0.3 8.14e-01 4.77e-01f 1
88 2.0834791e+03 5.72e-04 8.21e+01 -1.0 1.01e-01 0.7 1.00e+00 1.00e+00f 1
89 2.0279685e+03 4.02e-03 3.37e+02 -1.0 2.86e-01 0.3 6.68e-01 8.80e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
90 2.0066359e+03 6.99e-04 2.71e+00 -1.0 1.26e-01 0.7 1.00e+00 1.00e+00f 1
91 1.9821736e+03 1.33e-03 8.38e+02 -1.0 2.51e-01 0.2 1.00e+00 4.09e-01f 1
92 1.9608794e+03 8.55e-04 3.41e+00 -1.0 9.39e-02 0.6 1.00e+00 1.00e+00f 1
93 1.9261799e+03 2.55e-03 3.90e+02 -1.0 3.06e-01 0.2 8.66e-01 5.71e-01f 1
94 1.9050237e+03 1.03e-03 1.20e+01 -1.0 1.11e-01 0.6 1.00e+00 1.00e+00f 1
95 1.8590061e+03 6.53e-03 2.45e+02 -1.0 6.92e-01 0.1 5.61e-01 7.61e-01f 1
96 1.8566815e+03 2.69e-03 9.81e+02 -1.0 1.23e-01 1.4 3.18e-01 1.00e+00f 1
97 1.8532919e+03 1.53e-03 6.50e+02 -1.0 1.98e-01 1.0 1.00e+00 4.34e-01f 1
98 1.8300434e+03 1.50e-03 1.12e+02 -1.0 1.53e-01 0.5 1.00e+00 1.00e+00f 1
99 1.8218076e+03 2.25e-04 1.70e+02 -1.0 5.75e-02 0.9 8.45e-01 1.00e+00f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
100 1.7980477e+03 4.25e-03 7.14e+02 -1.0 3.55e-01 0.4 4.18e-01 1.00e+00f 1
101 1.7980588e+03 2.81e-03 6.92e+03 -1.0 8.48e-02 2.7 2.72e-01 1.00e+00h 1
102 1.7979721e+03 2.10e-03 5.34e+03 -1.0 1.94e-01 2.2 1.00e+00 2.41e-01h 1
103 1.7979089e+03 1.93e-03 5.05e+03 -1.0 2.37e+00 1.7 6.86e-01 5.13e-02f 2
104 1.7975030e+03 4.63e-04 9.45e+02 -1.0 1.20e-01 2.1 1.00e+00 1.00e+00h 1
105 1.7962014e+03 6.11e-05 1.10e+01 -1.0 8.56e-03 1.7 1.00e+00 1.00e+00f 1
106 1.7922792e+03 3.01e-04 5.26e+00 -1.0 8.06e-02 1.2 1.00e+00 1.00e+00f 1
107 1.7822273e+03 4.33e-04 9.64e+01 -1.0 6.45e-02 0.7 1.00e+00 8.95e-01f 1
108 1.7573063e+03 3.63e-03 1.37e+02 -1.0 1.85e-01 0.2 1.00e+00 8.47e-01f 1
109 1.7414203e+03 4.32e-03 4.61e+02 -1.0 8.14e-01 -0.2 7.06e-01 2.30e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
110 1.7225234e+03 4.11e-03 1.87e+02 -1.0 2.39e-01 0.2 1.00e+00 7.88e-01f 1
111 1.6945314e+03 9.93e-03 1.29e+02 -1.0 6.61e-01 -0.3 5.17e-01 4.72e-01f 1
112 1.6841097e+03 6.16e-03 3.21e+02 -1.0 2.49e-01 0.1 9.21e-01 5.59e-01f 1
113 1.6785266e+03 8.63e-04 3.79e-01 -1.0 9.44e-02 0.6 1.00e+00 1.00e+00f 1
114 1.6265266e+03 5.15e-04 1.34e+01 -2.5 1.66e-01 0.1 6.49e-01 4.10e-01f 1
115 1.5491916e+03 2.10e-03 1.08e+01 -2.5 5.00e-01 -0.4 4.64e-01 4.25e-01f 1
116 1.5119139e+03 1.45e-03 7.07e+00 -2.5 1.95e-01 0.0 5.04e-01 4.57e-01f 1
117 1.5006965e+03 1.02e-03 2.74e+01 -2.5 7.46e-02 0.5 8.12e-01 3.13e-01f 1
118 1.4762919e+03 8.72e-04 3.20e+01 -2.5 2.18e-01 -0.0 8.97e-01 3.41e-01f 1
119 1.4468469e+03 2.61e-04 8.77e-01 -2.5 8.37e-02 0.4 1.00e+00 9.90e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
120 1.4300874e+03 3.32e-04 3.86e+01 -2.5 2.41e-01 -0.1 1.00e+00 2.63e-01f 1
121 1.4165327e+03 4.18e-04 4.12e+01 -2.5 6.62e-01 -0.6 5.38e-01 8.83e-02f 1
122 1.3956178e+03 6.43e-04 3.13e+01 -2.5 2.63e-01 -0.1 8.12e-01 3.59e-01f 1
123 1.3737474e+03 1.23e-03 3.34e+01 -2.5 7.06e-01 -0.6 5.43e-01 1.75e-01f 1
124 1.3551125e+03 1.41e-03 2.73e+01 -2.5 2.69e-01 -0.2 8.32e-01 4.15e-01f 1
125 1.3498510e+03 1.01e-03 3.47e+01 -2.5 9.26e-02 0.2 1.00e+00 3.35e-01f 1
126 1.3418493e+03 1.03e-03 3.47e+01 -2.5 2.48e-01 -0.2 7.11e-01 2.38e-01f 1
127 1.3196772e+03 2.70e-03 2.64e+01 -2.5 6.66e-01 -0.7 3.39e-01 2.72e-01f 1
128 1.3158288e+03 2.72e-03 2.98e+01 -2.5 1.84e+00 -1.2 1.60e-01 1.89e-02f 1
129 1.3025329e+03 3.05e-03 2.50e+01 -2.5 6.96e-01 -0.8 1.90e-01 1.76e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
130 1.2965755e+03 2.95e-03 2.63e+01 -2.5 4.34e+00 -1.2 1.14e-01 3.03e-02f 1
131 1.2866777e+03 2.57e-03 2.09e+01 -2.5 8.25e-01 -0.8 4.58e-02 1.27e-01f 1
132 1.2777333e+03 2.15e-03 2.25e+01 -2.5 4.05e-01 -0.4 5.41e-01 2.92e-01f 1
133 1.2711780e+03 1.80e-03 2.25e+01 -2.5 2.34e-01 0.0 1.00e+00 5.69e-01f 1
134 1.2689198e+03 1.93e-03 3.35e+01 -2.5 8.00e-01 -0.4 5.10e-01 7.77e-02f 1
135 1.2676457e+03 1.76e-04 1.21e+01 -2.5 1.56e-02 0.9 9.51e-01 9.07e-01f 1
136 1.2676473e+03 3.87e-05 8.42e+01 -2.5 1.79e-03 4.0 1.00e+00 1.00e+00h 1
137 1.2676474e+03 1.54e-05 1.50e+02 -2.5 2.96e-03 4.5 5.18e-01 1.00e+00f 1
138 1.2676448e+03 1.56e-03 1.05e+04 -2.5 3.47e-02 4.0 1.00e+00 1.00e+00f 1
139 1.2676390e+03 3.20e-04 2.30e+03 -2.5 2.10e-02 3.5 1.00e+00 1.00e+00h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
140 1.2676265e+03 3.50e-05 6.11e+02 -2.5 1.02e-02 3.0 1.00e+00 1.00e+00h 1
141 1.2675925e+03 2.36e-05 1.59e+02 -2.5 4.31e-03 2.5 1.00e+00 1.00e+00f 1
142 1.2674941e+03 3.14e-05 2.62e+01 -2.5 1.07e-03 2.1 1.00e+00 1.00e+00f 1
143 1.2672142e+03 8.56e-06 2.96e+01 -2.5 3.01e-03 1.6 1.00e+00 1.00e+00f 1
144 1.2664294e+03 8.89e-06 8.40e+00 -2.5 9.11e-03 1.1 1.00e+00 1.00e+00f 1
145 1.2642678e+03 5.21e-05 4.07e-01 -2.5 2.70e-02 0.6 1.00e+00 1.00e+00f 1
146 1.2581090e+03 3.73e-04 1.17e-01 -2.5 7.99e-02 0.2 1.00e+00 1.00e+00f 1
147 1.2536180e+03 3.81e-04 3.82e+01 -2.5 2.36e-01 -0.3 1.00e+00 2.56e-01f 1
148 1.2477186e+03 3.94e-04 3.52e+01 -2.5 6.78e-01 -0.8 2.58e-01 1.24e-01f 1
149 1.2399618e+03 7.15e-04 3.31e+01 -2.5 1.85e+00 -1.3 9.34e-02 7.15e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
150 1.2391203e+03 6.10e-04 3.01e+01 -2.5 8.84e-02 0.1 2.77e-01 1.56e-01f 1
151 1.2365711e+03 5.73e-04 2.52e+01 -2.5 2.45e-01 -0.4 1.76e-01 1.68e-01f 1
152 1.2302605e+03 1.83e-03 2.18e+01 -2.5 8.94e-01 -0.9 1.61e-01 1.48e-01f 1
153 1.2224414e+03 2.69e-03 2.13e+01 -2.5 1.99e+00 -1.4 1.09e-01 7.34e-02f 1
154 1.2191867e+03 2.76e-03 2.50e+01 -2.5 7.36e-01 -0.9 2.61e-01 7.97e-02f 1
155 1.2106580e+03 3.70e-03 2.25e+01 -2.5 2.45e+00 -1.4 6.81e-02 8.44e-02f 1
156 1.2083245e+03 3.63e-03 2.39e+01 -2.5 8.42e-01 -1.0 1.63e-01 6.55e-02f 1
157 1.2035856e+03 3.94e-03 2.34e+01 -2.5 3.46e+00 -1.5 9.05e-02 5.64e-02f 1
158 1.1991227e+03 4.57e-03 2.55e+01 -2.5 1.17e+00 -1.0 3.15e-01 1.32e-01f 1
159 1.1933142e+03 7.42e-03 2.34e+01 -2.5 4.40e+00 -1.5 7.19e-02 7.65e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
160 1.1919710e+03 7.26e-03 2.36e+01 -2.5 1.46e+00 -1.1 9.56e-02 4.90e-02f 1
161 1.1839303e+03 1.18e-02 2.04e+01 -2.5 3.20e+00 -1.6 1.04e-01 1.18e-01f 1
162 1.1815940e+03 1.12e-02 1.89e+01 -2.5 1.21e+00 -1.2 1.05e-01 9.26e-02f 1
163 1.1806864e+03 1.11e-02 2.06e+01 -2.5 3.24e+00 -1.6 7.47e-02 1.60e-02f 1
164 1.1769223e+03 1.12e-02 1.26e+01 -2.5 1.31e+00 -1.2 2.53e-02 1.75e-01f 1
165 1.1736637e+03 1.20e-02 1.48e+01 -2.5 3.21e+00 -1.7 1.39e-01 5.97e-02f 1
166 1.1727945e+03 1.18e-02 1.72e+01 -2.5 1.15e+01 -2.2 7.80e-02 9.72e-03f 1
167 1.1686713e+03 1.08e-02 1.62e+01 -2.5 3.32e+00 -1.7 1.29e-01 1.07e-01f 1
168 1.1679248e+03 1.03e-02 1.49e+01 -2.5 8.87e-01 -1.3 2.77e-02 4.43e-02f 1
169 1.1663288e+03 9.78e-03 1.43e+01 -2.5 2.28e+00 -1.8 5.39e-02 4.89e-02f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
170 1.1652814e+03 8.97e-03 1.94e+01 -2.5 8.56e-01 -1.4 2.50e-01 8.33e-02f 1
171 1.1642213e+03 6.97e-03 2.06e+01 -2.5 3.07e-01 -0.9 3.93e-01 2.22e-01f 1
172 1.1609728e+03 5.00e-03 1.30e+01 -2.5 9.49e-01 -1.4 2.25e-01 2.83e-01f 1
173 1.1574103e+03 4.71e-03 1.09e+01 -2.5 2.80e+00 -1.9 1.21e-01 1.32e-01f 1
174 1.1540011e+03 5.18e-03 9.23e+00 -2.5 1.04e+00 -1.5 3.35e-01 2.96e-01f 1
175 1.1523907e+03 3.43e-03 1.55e+01 -2.5 3.35e-01 -1.0 6.51e-01 4.16e-01f 1
176 1.1504710e+03 3.52e-03 1.99e+01 -2.5 9.50e-01 -1.5 4.22e-01 2.12e-01f 1
177 1.1475558e+03 2.48e-03 6.14e+00 -2.5 3.61e-01 -1.1 9.62e-01 8.59e-01f 1
178 1.1430276e+03 8.92e-03 9.87e+00 -2.5 1.10e+00 -1.6 7.28e-01 5.68e-01f 1
179 1.1428439e+03 1.68e-04 2.47e+01 -2.5 7.48e-02 -0.2 4.02e-01 1.00e+00h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
180 1.1418173e+03 4.53e-04 2.23e+00 -2.5 1.48e-01 -0.7 9.71e-01 1.00e+00f 1
181 1.1391057e+03 3.93e-03 2.41e+00 -2.5 4.35e-01 -1.2 1.00e+00 1.00e+00f 1
182 1.1367858e+03 6.48e-03 2.89e+00 -2.5 1.17e+00 -1.7 4.03e-01 3.75e-01f 1
183 1.1355444e+03 3.97e-03 7.93e+00 -2.5 4.15e-01 -1.2 4.01e-01 5.74e-01f 1
184 1.1338700e+03 5.83e-03 3.43e+01 -2.5 1.18e+00 -1.7 1.00e+00 3.26e-01f 1
185 1.1320604e+03 3.89e-03 2.14e-01 -2.5 4.25e-01 -1.3 1.00e+00 1.00e+00f 1
186 1.1306842e+03 5.24e-03 1.45e+01 -2.5 1.01e+00 -1.8 6.69e-01 3.83e-01f 1
187 1.1296041e+03 3.13e-03 9.93e+00 -2.5 4.00e-01 -1.3 1.00e+00 8.71e-01f 1
188 1.1292183e+03 4.64e-04 1.99e+00 -2.5 1.51e-01 -0.9 1.00e+00 1.00e+00h 1
189 1.1282366e+03 2.74e-03 4.28e+00 -2.5 4.29e-01 -1.4 1.00e+00 9.16e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
190 1.1266451e+03 1.25e-02 8.10e+00 -2.5 1.19e+00 -1.9 4.95e-01 6.98e-01f 1
191 1.1260389e+03 1.36e-02 4.19e+01 -2.5 2.92e+00 -2.3 9.81e-01 1.49e-01h 1
192 1.1244310e+03 5.19e-02 6.62e+00 -2.5 1.26e+00 -1.9 4.24e-01 1.00e+00h 1
193 1.1244881e+03 3.37e-02 2.20e+03 -2.5 1.03e+00 0.3 1.37e-01 7.38e-01h 1
194 1.1245189e+03 3.81e-03 5.34e+02 -2.5 2.70e-01 0.7 1.00e+00 1.00e+00h 1
195 1.1245068e+03 1.17e-03 8.73e+01 -2.5 1.89e-01 0.3 1.00e+00 1.00e+00h 1
196 1.1244683e+03 2.33e-05 2.30e+00 -2.5 3.20e-02 -0.2 1.00e+00 1.00e+00h 1
197 1.1243552e+03 1.54e-04 1.71e-02 -2.5 8.42e-02 -0.7 1.00e+00 1.00e+00f 1
198 1.1190994e+03 6.09e-04 1.51e+00 -3.8 2.82e-01 -1.2 5.92e-01 6.86e-01f 1
199 1.1180288e+03 8.34e-04 2.92e+00 -3.8 6.39e-01 -1.6 4.57e-01 2.24e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
200 1.1159998e+03 7.95e-03 4.85e+00 -3.8 1.57e+00 -2.1 5.44e-01 3.25e-01f 1
201 1.1147116e+03 6.52e-03 6.39e+00 -3.8 6.37e-01 -1.7 7.88e-01 4.54e-01f 1
202 1.1141096e+03 3.62e-03 2.20e+00 -3.8 2.46e-01 -1.3 1.18e-01 5.01e-01h 1
203 1.1139708e+03 3.40e-03 3.80e+00 -3.8 6.49e-01 -1.7 3.48e-01 9.09e-02h 1
204 1.1136362e+03 2.51e-05 6.03e-01 -3.8 3.60e-02 -0.4 1.00e+00 1.00e+00h 1
205 1.1133723e+03 2.70e-04 2.79e-02 -3.8 1.02e-01 -0.9 1.00e+00 1.00e+00f 1
206 1.1133151e+03 3.71e-05 3.43e-02 -3.8 3.74e-02 -0.5 1.00e+00 1.00e+00h 1
207 1.1131350e+03 3.29e-04 2.78e-01 -3.8 1.09e-01 -0.9 1.00e+00 1.00e+00f 1
208 1.1127639e+03 1.69e-03 5.67e+00 -3.8 3.05e-01 -1.4 4.09e-01 7.62e-01f 1
209 1.1124053e+03 3.18e-03 1.36e+00 -3.8 8.06e-01 -1.9 5.54e-01 3.11e-01f 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
210 1.1118494e+03 8.48e-03 5.05e+00 -3.8 1.95e+00 -2.4 4.87e-01 2.16e-01f 1
211 1.1114165e+03 1.22e-02 4.92e+00 -3.8 4.02e+00 -2.9 1.21e-01 9.06e-02f 1
212 1.1111748e+03 1.31e-02 5.94e+00 -3.8 8.10e+00 -3.3 1.38e-01 3.23e-02f 1
213 1.1109347e+03 1.32e-02 7.87e+00 -3.8 6.67e+00 -2.9 2.79e-01 5.54e-02h 1
214 1.1104649e+03 1.65e-02 7.34e+00 -3.8 7.56e+00 -3.4 9.00e-02 7.91e-02f 1
215 1.1103271e+03 1.65e-02 1.07e+01 -3.8 4.06e+00 -3.0 4.62e-01 4.32e-02h 1
216 1.1098444e+03 2.77e-02 9.93e+00 -3.8 7.43e+00 -3.4 1.62e-01 1.01e-01h 1
217 1.1098538e+03 1.90e-02 1.18e+01 -3.8 5.39e-02 -0.3 3.23e-01 3.16e-01h 1
218 1.1098809e+03 1.10e-05 5.82e+00 -3.8 1.11e-02 0.1 1.00e+00 1.00e+00h 1
219 1.1098622e+03 1.08e-05 1.06e+00 -3.8 1.90e-02 -0.4 1.00e+00 1.00e+00h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
220 1.1098107e+03 5.25e-05 2.18e-01 -3.8 5.49e-02 -0.8 1.00e+00 1.00e+00h 1
221 1.1096817e+03 4.04e-04 1.06e+00 -3.8 1.64e-01 -1.3 1.00e+00 9.34e-01h 1
222 1.1095749e+03 6.50e-04 1.10e+01 -3.8 4.73e-01 -1.8 1.00e+00 3.17e-01f 1
223 1.1095621e+03 8.31e-06 1.21e+00 -3.8 2.29e-02 -0.5 7.63e-01 1.00e+00h 1
224 1.1095140e+03 7.70e-05 1.21e-01 -3.8 6.81e-02 -0.9 1.00e+00 1.00e+00h 1
225 1.1093825e+03 6.62e-04 1.60e-01 -3.8 2.01e-01 -1.4 1.00e+00 1.00e+00h 1
226 1.1093364e+03 6.74e-04 1.37e+01 -3.8 5.66e-01 -1.9 1.00e+00 1.44e-01h 1
227 1.1092690e+03 5.38e-04 7.05e+00 -3.8 2.20e-01 -1.5 1.00e+00 5.60e-01h 1
228 1.1090343e+03 3.55e-03 5.58e-01 -3.8 6.20e-01 -1.9 5.37e-01 7.49e-01f 1
229 1.1087697e+03 8.51e-03 3.15e+00 -3.8 1.59e+00 -2.4 6.12e-01 4.12e-01h 1
iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls
230 1.1087608e+03 3.38e-03 6.31e+00 -3.8 8.48e-02 -1.1 1.00e+00 6.07e-01h 1
231 1.1087556e+03 1.19e-05 3.16e-01 -3.8 3.19e-02 -0.7 1.00e+00 1.00e+00h 1
232 1.1087186e+03 1.25e-04 1.24e-02 -3.8 9.27e-02 -1.1 1.00e+00 1.00e+00h 1
Number of Iterations....: 232
(scaled) (unscaled)
Objective...............: 1.1087186343198964e+03 1.1087186343198964e+03
Dual infeasibility......: 1.2357098800516109e-02 1.2357098800516109e-02
Constraint violation....: 1.2474641167337097e-04 1.2474641167337097e-04
Variable bound violation: 6.5439683696740520e-09 6.5439683696740520e-09
Complementarity.........: 1.5237086683517976e-04 1.5237086683517976e-04
Overall NLP error.......: 5.0040582267332004e-03 1.2357098800516109e-02
Number of objective function evaluations = 238
Number of objective gradient evaluations = 233
Number of equality constraint evaluations = 238
Number of inequality constraint evaluations = 239
Number of equality constraint Jacobian evaluations = 233
Number of inequality constraint Jacobian evaluations = 233
Number of Lagrangian Hessian evaluations = 232
Total seconds in IPOPT (w/o function evaluations) = 61.769
Total seconds in NLP function evaluations = 69.785
Timing Statistics:
OverallAlgorithm....................: 131.553 (sys: 0.000 wall: 131.553)
PrintProblemStatistics.............: 0.001 (sys: 0.000 wall: 0.001)
InitializeIterates.................: 0.140 (sys: 0.000 wall: 0.140)
UpdateHessian......................: 41.388 (sys: 0.000 wall: 41.388)
OutputIteration....................: 0.348 (sys: 0.000 wall: 0.348)
UpdateBarrierParameter.............: 0.155 (sys: 0.000 wall: 0.155)
ComputeSearchDirection.............: 57.473 (sys: 0.000 wall: 57.474)
ComputeAcceptableTrialPoint........: 23.227 (sys: 0.000 wall: 23.227)
AcceptTrialPoint...................: 0.155 (sys: 0.000 wall: 0.155)
CheckConvergence...................: 8.666 (sys: 0.000 wall: 8.666)
PDSystemSolverTotal.................: 57.125 (sys: 0.000 wall: 57.125)
PDSystemSolverSolveOnce............: 53.360 (sys: 0.000 wall: 53.361)
ComputeResiduals...................: 3.091 (sys: 0.000 wall: 3.091)
StdAugSystemSolverMultiSolve.......: 52.663 (sys: 0.000 wall: 52.664)
LinearSystemScaling................: 0.000 (sys: 0.000 wall: 0.000)
LinearSystemSymbolicFactorization..: 0.129 (sys: 0.000 wall: 0.129)
LinearSystemFactorization..........: 44.336 (sys: 0.000 wall: 44.336)
LinearSystemBackSolve..............: 5.916 (sys: 0.000 wall: 5.918)
LinearSystemStructureConverter.....: 0.000 (sys: 0.000 wall: 0.000)
LinearSystemStructureConverterInit: 0.000 (sys: 0.000 wall: 0.000)
QualityFunctionSearch...............: 0.000 (sys: 0.000 wall: 0.000)
TryCorrector........................: 0.000 (sys: 0.000 wall: 0.000)
Task1...............................: 0.000 (sys: 0.000 wall: 0.000)
Task2...............................: 0.000 (sys: 0.000 wall: 0.000)
Task3...............................: 0.000 (sys: 0.000 wall: 0.000)
Task4...............................: 0.000 (sys: 0.000 wall: 0.000)
Task5...............................: 0.000 (sys: 0.000 wall: 0.000)
Task6...............................: 0.000 (sys: 0.000 wall: 0.000)
Function Evaluations................: 69.785 (sys: 0.000 wall: 69.785)
Objective function.................: 0.010 (sys: 0.000 wall: 0.010)
Objective function gradient........: 0.096 (sys: 0.000 wall: 0.096)
Equality constraints...............: 21.362 (sys: 0.000 wall: 21.362)
Inequality constraints.............: 0.029 (sys: 0.000 wall: 0.029)
Equality constraint Jacobian.......: 0.172 (sys: 0.000 wall: 0.172)
Inequality constraint Jacobian.....: 6.962 (sys: 0.000 wall: 6.962)
Lagrangian Hessian.................: 41.154 (sys: 0.000 wall: 41.154)
EXIT: Optimal Solution Found.