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diff --git a/solver_log/dcopf_ForkPoolWorker-1082.log b/solver_log/dcopf_ForkPoolWorker-1082.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
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+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-1245.log b/solver_log/dcopf_ForkPoolWorker-1245.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-1245.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-1758.log b/solver_log/dcopf_ForkPoolWorker-1758.log
new file mode 100644
index 0000000000000000000000000000000000000000..deb460b82ded5181d7046083ed93d3782f1eeacc
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-1758.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.020
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-1773.log b/solver_log/dcopf_ForkPoolWorker-1773.log
new file mode 100644
index 0000000000000000000000000000000000000000..deb460b82ded5181d7046083ed93d3782f1eeacc
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-1773.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.020
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-3576.log b/solver_log/dcopf_ForkPoolWorker-3576.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-3576.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-4105.log b/solver_log/dcopf_ForkPoolWorker-4105.log
new file mode 100644
index 0000000000000000000000000000000000000000..d6887e40eee795ead4c9319ec97c57f7c0a49876
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-4105.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.005
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-5101.log b/solver_log/dcopf_ForkPoolWorker-5101.log
new file mode 100644
index 0000000000000000000000000000000000000000..deb460b82ded5181d7046083ed93d3782f1eeacc
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-5101.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.020
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-5307.log b/solver_log/dcopf_ForkPoolWorker-5307.log
new file mode 100644
index 0000000000000000000000000000000000000000..d6887e40eee795ead4c9319ec97c57f7c0a49876
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-5307.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.005
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-5575.log b/solver_log/dcopf_ForkPoolWorker-5575.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-5575.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-56.log b/solver_log/dcopf_ForkPoolWorker-56.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-56.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-6293.log b/solver_log/dcopf_ForkPoolWorker-6293.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-6293.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-6390.log b/solver_log/dcopf_ForkPoolWorker-6390.log
new file mode 100644
index 0000000000000000000000000000000000000000..6cfe103110e19735ec3f7d96bffe3bf627c82fc9
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-6390.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.021
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-6530.log b/solver_log/dcopf_ForkPoolWorker-6530.log
new file mode 100644
index 0000000000000000000000000000000000000000..66302819293de1d266b679a61adee8e11384801a
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-6530.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.006
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-6563.log b/solver_log/dcopf_ForkPoolWorker-6563.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-6563.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-6934.log b/solver_log/dcopf_ForkPoolWorker-6934.log
new file mode 100644
index 0000000000000000000000000000000000000000..66302819293de1d266b679a61adee8e11384801a
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-6934.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.006
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-7941.log b/solver_log/dcopf_ForkPoolWorker-7941.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-7941.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-8376.log b/solver_log/dcopf_ForkPoolWorker-8376.log
new file mode 100644
index 0000000000000000000000000000000000000000..6e81c24b8a3c9109eb9a5f60989e7c353d734653
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-8376.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.008
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-8860.log b/solver_log/dcopf_ForkPoolWorker-8860.log
new file mode 100644
index 0000000000000000000000000000000000000000..deb460b82ded5181d7046083ed93d3782f1eeacc
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-8860.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.020
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-91.log b/solver_log/dcopf_ForkPoolWorker-91.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-91.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-9303.log b/solver_log/dcopf_ForkPoolWorker-9303.log
new file mode 100644
index 0000000000000000000000000000000000000000..d6887e40eee795ead4c9319ec97c57f7c0a49876
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-9303.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.005
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-9553.log b/solver_log/dcopf_ForkPoolWorker-9553.log
new file mode 100644
index 0000000000000000000000000000000000000000..66302819293de1d266b679a61adee8e11384801a
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-9553.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.006
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcopf_ForkPoolWorker-972.log b/solver_log/dcopf_ForkPoolWorker-972.log
new file mode 100644
index 0000000000000000000000000000000000000000..c17a87d1d1cc21466ea7f98611aad26086b64148
--- /dev/null
+++ b/solver_log/dcopf_ForkPoolWorker-972.log
@@ -0,0 +1,58 @@
+ ======= warm starting Julia interface dcopf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       36
+Number of nonzeros in inequality constraint Jacobian.:       12
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       16
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       11
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       12
+Total number of inequality constraints...............:        6
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:        0
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 3.51e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.1131587e+03 2.48e+00 1.05e+02  -1.0 2.83e+00    -  4.00e-03 3.77e-01h  1
+   2  5.3674599e+03 2.43e+00 1.03e+02  -1.0 5.31e+01    -  2.20e-02 2.05e-02f  1
+   3  4.8141169e+03 2.40e+00 1.00e+02  -1.0 2.57e+01    -  1.87e-01 1.53e-02f  1
+   4  5.3197146e+03 2.14e+00 8.87e+01  -1.0 7.56e+00    -  3.28e-01 1.07e-01h  1
+   5  7.3028234e+03 1.27e+00 5.15e+01  -1.0 6.28e+00    -  6.76e-01 4.06e-01h  1
+   6  7.3731338e+03 1.26e+00 6.11e+01  -1.0 4.50e+00    -  1.18e-01 1.28e-02h  1
+   7  8.1805562e+03 1.13e+00 5.09e+01  -1.0 1.02e+01    -  3.43e-02 9.73e-02h  1
+   8  8.1911611e+03 1.13e+00 7.98e+01  -1.0 6.97e+00    -  3.13e-02 1.43e-03h  1
+   9  1.0501029e+04 8.50e-01 3.82e+01  -1.0 3.03e+00    -  1.92e-03 2.49e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7493623e+04 4.44e-16 7.01e+00  -1.0 2.38e+00    -  7.74e-01 1.00e+00h  1
+  11  1.7493106e+04 1.33e-15 2.07e-13  -1.0 2.89e-01    -  1.00e+00 1.00e+00f  1
+  12  1.7481344e+04 1.78e-15 1.52e-02  -2.5 1.50e-01    -  9.64e-01 1.00e+00f  1
+  13  1.7479942e+04 8.88e-16 1.52e-03  -3.8 2.41e-01    -  9.96e-01 9.51e-01f  1
+  14  1.7479921e+04 1.78e-15 3.20e-13  -3.8 1.58e-03    -  1.00e+00 1.00e+00f  1
+  15  1.7479897e+04 8.88e-16 5.49e-13  -5.7 1.54e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7479897e+04 4.44e-16 5.47e-13  -7.0 1.96e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 16
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3699741959895618e+02    1.7479896783958247e+04
+Dual infeasibility......:   5.4709811137529981e-13    2.1883924455011992e-11
+Constraint violation....:   4.4408920985006262e-16    4.4408920985006262e-16
+Variable bound violation:   2.3416521166552684e-08    2.3416521166552684e-08
+Complementarity.........:   9.0927751873096259e-08    3.6371100749238501e-06
+Overall NLP error.......:   9.0927751873096259e-08    3.6371100749238501e-06
+
+
+Number of objective function evaluations             = 17
+Number of objective gradient evaluations             = 17
+Number of equality constraint evaluations            = 17
+Number of inequality constraint evaluations          = 17
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 1
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-1099.log b/solver_log/dcpf_ForkPoolWorker-1099.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-1099.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-1191.log b/solver_log/dcpf_ForkPoolWorker-1191.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-1191.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-1485.log b/solver_log/dcpf_ForkPoolWorker-1485.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-1485.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-1772.log b/solver_log/dcpf_ForkPoolWorker-1772.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-1772.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-1811.log b/solver_log/dcpf_ForkPoolWorker-1811.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-1811.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-2247.log b/solver_log/dcpf_ForkPoolWorker-2247.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-2247.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-2504.log b/solver_log/dcpf_ForkPoolWorker-2504.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-2504.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-2888.log b/solver_log/dcpf_ForkPoolWorker-2888.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-2888.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-307.log b/solver_log/dcpf_ForkPoolWorker-307.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-307.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-3442.log b/solver_log/dcpf_ForkPoolWorker-3442.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-3442.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-3709.log b/solver_log/dcpf_ForkPoolWorker-3709.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-3709.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-4271.log b/solver_log/dcpf_ForkPoolWorker-4271.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-4271.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-43.log b/solver_log/dcpf_ForkPoolWorker-43.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-43.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-4507.log b/solver_log/dcpf_ForkPoolWorker-4507.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-4507.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-4782.log b/solver_log/dcpf_ForkPoolWorker-4782.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-4782.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-5321.log b/solver_log/dcpf_ForkPoolWorker-5321.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-5321.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-6242.log b/solver_log/dcpf_ForkPoolWorker-6242.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-6242.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-6520.log b/solver_log/dcpf_ForkPoolWorker-6520.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-6520.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-6594.log b/solver_log/dcpf_ForkPoolWorker-6594.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-6594.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-7339.log b/solver_log/dcpf_ForkPoolWorker-7339.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-7339.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-7671.log b/solver_log/dcpf_ForkPoolWorker-7671.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-7671.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-7947.log b/solver_log/dcpf_ForkPoolWorker-7947.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-7947.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-8244.log b/solver_log/dcpf_ForkPoolWorker-8244.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-8244.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-8337.log b/solver_log/dcpf_ForkPoolWorker-8337.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-8337.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-8989.log b/solver_log/dcpf_ForkPoolWorker-8989.log
new file mode 100644
index 0000000000000000000000000000000000000000..85b28679ceeba3b3d79a1872b2fae89e52e7ebab
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-8989.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.014
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-9278.log b/solver_log/dcpf_ForkPoolWorker-9278.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-9278.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-9394.log b/solver_log/dcpf_ForkPoolWorker-9394.log
new file mode 100644
index 0000000000000000000000000000000000000000..85b28679ceeba3b3d79a1872b2fae89e52e7ebab
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-9394.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.014
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-9432.log b/solver_log/dcpf_ForkPoolWorker-9432.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-9432.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-95.log b/solver_log/dcpf_ForkPoolWorker-95.log
new file mode 100644
index 0000000000000000000000000000000000000000..e68709567bcabbbb54ad0418bfaead3265a55b4d
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-95.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.023
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-9603.log b/solver_log/dcpf_ForkPoolWorker-9603.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-9603.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/dcpf_ForkPoolWorker-9726.log b/solver_log/dcpf_ForkPoolWorker-9726.log
new file mode 100644
index 0000000000000000000000000000000000000000..78d2bc67e7cbfea505cd5713c323d40e876615b8
--- /dev/null
+++ b/solver_log/dcpf_ForkPoolWorker-9726.log
@@ -0,0 +1,42 @@
+ ======= warm starting Julia interface dcpf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       27
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:        0
+
+Total number of variables............................:       10
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       10
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 4.44e-16 0.00e+00  -1.0 3.35e+00    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 1
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
+Constraint violation....:   3.5523584074326207e-16    4.4408920985006262e-16
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.5523584074326207e-16    4.4408920985006262e-16
+
+
+Number of objective function evaluations             = 2
+Number of objective gradient evaluations             = 2
+Number of equality constraint evaluations            = 2
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 1
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 1
+Total seconds in IPOPT                               = 0.001
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-1675.log b/solver_log/opf_ForkPoolWorker-1675.log
new file mode 100644
index 0000000000000000000000000000000000000000..db54f26ffdea9705e59709cc6ba7afb9ea5ca3ed
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-1675.log
@@ -0,0 +1,199 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 10.638
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581542
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3025256e+06 9.78e+00 5.87e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3091669e+06 9.66e+00 5.83e+01  -1.0 1.33e+01    -  6.12e-03 1.22e-02f  1
+   2  1.3142142e+06 9.54e+00 5.80e+01  -1.0 1.08e+01    -  5.98e-03 1.29e-02f  1
+   3  1.3219989e+06 9.31e+00 5.74e+01  -1.0 1.01e+01    -  1.21e-02 2.33e-02h  1
+   4  1.3348530e+06 8.97e+00 5.62e+01  -1.0 1.07e+01    -  2.46e-02 3.68e-02h  1
+   5  1.3495210e+06 8.63e+00 5.27e+01  -1.0 1.75e+01    -  5.76e-02 3.85e-02h  1
+   6  1.3724855e+06 8.13e+00 4.77e+01  -1.0 2.41e+01    -  8.56e-02 5.78e-02h  1
+   7  1.4125686e+06 7.31e+00 4.48e+01  -1.0 3.35e+01    -  7.15e-02 1.01e-01h  1
+   8  1.4489056e+06 6.61e+00 4.09e+01  -1.0 4.81e+01    -  8.89e-02 9.73e-02h  1
+   9  1.4839847e+06 5.96e+00 3.86e+01  -1.0 5.96e+01    -  6.82e-02 9.83e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5258025e+06 5.21e+00 3.58e+01  -1.0 6.86e+01    -  8.57e-02 1.27e-01h  1
+  11  1.5538704e+06 4.71e+00 3.16e+01  -1.0 7.70e+01    -  1.13e-01 9.59e-02h  1
+  12  1.5926170e+06 4.03e+00 3.08e+01  -1.0 8.51e+01    -  5.90e-02 1.46e-01h  1
+  13  1.6188597e+06 3.55e+00 2.73e+01  -1.0 1.02e+02    -  1.14e-01 1.19e-01h  1
+  14  1.6412618e+06 3.14e+00 2.40e+01  -1.0 1.21e+02    -  1.20e-01 1.17e-01h  1
+  15  1.6729118e+06 2.51e+00 2.31e+01  -1.0 1.36e+02    -  8.36e-02 2.01e-01h  1
+  16  1.6865284e+06 2.19e+00 1.94e+01  -1.0 1.63e+02    -  1.52e-01 1.28e-01h  1
+  17  1.6972547e+06 1.89e+00 1.80e+01  -1.0 1.90e+02    -  9.06e-02 1.39e-01h  1
+  18  1.7027266e+06 1.69e+00 1.37e+01  -1.0 2.22e+02    -  2.02e-01 1.05e-01h  1
+  19  1.7069375e+06 1.46e+00 1.32e+01  -1.0 2.58e+02    -  7.15e-02 1.35e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7086290e+06 1.24e+00 1.08e+01  -1.0 2.86e+02    -  1.72e-01 1.48e-01h  1
+  21  1.7069304e+06 1.00e+00 9.82e+00  -1.0 3.25e+02    -  1.21e-01 1.97e-01h  1
+  22  1.7044782e+06 9.14e-01 9.06e+00  -1.0 3.68e+02    -  7.98e-02 8.70e-02f  1
+  23  1.7019585e+06 8.51e-01 7.49e+00  -1.0 3.87e+02    -  1.49e-01 6.94e-02f  1
+  24  1.6959022e+06 7.19e-01 1.62e+01  -1.0 3.94e+02    -  2.09e-01 1.56e-01f  1
+  25  1.6922650e+06 6.60e-01 5.80e+01  -1.0 4.15e+02    -  2.37e-01 8.22e-02f  1
+  26  1.6885910e+06 5.99e-01 6.11e+01  -1.0 4.33e+02    -  1.34e-01 9.28e-02f  1
+  27  1.6838948e+06 5.29e-01 6.38e+01  -1.0 4.42e+02    -  2.00e-01 1.18e-01f  1
+  28  1.6765035e+06 4.27e-01 7.21e+01  -1.0 4.46e+02    -  3.30e-01 1.94e-01f  1
+  29  1.6706194e+06 3.51e-01 5.86e+01  -1.0 4.15e+02    -  1.71e-01 1.78e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6668645e+06 2.97e-01 4.99e+01  -1.0 3.25e+02    -  2.00e-01 1.55e-01f  1
+  31  1.6663328e+06 2.84e-01 1.16e+02  -1.0 2.37e+02    -  3.18e-01 4.44e-02h  1
+  32  1.6653462e+06 2.25e-01 1.83e+02  -1.0 2.00e+02    -  5.50e-01 2.08e-01h  1
+  33  1.6658437e+06 1.35e-01 1.26e+02  -1.0 1.25e+02    -  4.59e-01 4.03e-01h  1
+  34  1.6668932e+06 7.81e-02 2.21e+02  -1.0 7.07e+01    -  7.73e-01 4.31e-01h  1
+  35  1.6682456e+06 3.50e-02 2.97e+02  -1.0 6.40e+01    -  9.31e-01 5.65e-01h  1
+  36  1.6696509e+06 1.73e-02 1.52e+01  -1.0 3.72e+01    -  9.75e-01 1.00e+00h  1
+  37  1.6696964e+06 2.38e-04 4.01e-02  -1.0 2.88e+00    -  1.00e+00 1.00e+00h  1
+  38  1.6664292e+06 1.09e-03 7.21e+02  -2.5 7.36e+01    -  4.45e-01 1.59e-01f  1
+  39  1.6652545e+06 1.53e-03 8.25e+02  -2.5 7.37e+01    -  1.81e-01 7.01e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6575067e+06 1.63e-02 3.04e+01  -2.5 6.01e+01    -  7.28e-02 4.54e-01f  1
+  41  1.6548795e+06 1.24e-02 8.69e+01  -2.5 4.61e+01    -  2.99e-01 2.28e-01f  1
+  42  1.6519774e+06 1.02e-02 1.06e+01  -2.5 3.91e+01    -  2.09e-01 2.92e-01f  1
+  43  1.6512949e+06 9.80e-03 6.33e+01  -2.5 5.47e+01    -  1.99e-01 8.94e-02f  1
+  44  1.6502637e+06 9.08e-03 9.02e+01  -2.5 5.37e+01    -  2.21e-01 1.42e-01f  1
+  45  1.6498425e+06 8.48e-03 1.05e+02  -2.5 3.30e+01    -  1.25e-01 6.66e-02f  1
+  46  1.6481390e+06 6.88e-03 2.53e+01  -2.5 3.64e+01    -  6.62e-02 2.70e-01f  1
+  47  1.6474652e+06 6.10e-03 2.56e+01  -2.5 2.43e+01    -  1.88e-01 1.39e-01f  1
+  48  1.6470271e+06 5.58e-03 3.83e+01  -2.5 2.46e+01    -  1.63e-01 1.01e-01f  1
+  49  1.6457249e+06 4.92e-03 1.28e+01  -2.5 2.64e+01    -  2.66e-01 3.27e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6454626e+06 4.47e-03 3.13e+01  -2.5 2.12e+01    -  2.07e-01 9.22e-02f  1
+  51  1.6443463e+06 7.81e-03 6.40e+00  -2.5 1.88e+01    -  2.75e-01 4.20e-01f  1
+  52  1.6439535e+06 5.86e-03 3.05e+01  -2.5 1.72e+01    -  5.27e-01 2.42e-01f  1
+  53  1.6433811e+06 3.01e-03 4.10e+00  -2.5 1.01e+01    -  2.03e-01 4.50e-01f  1
+  54  1.6431218e+06 1.87e-03 3.19e+01  -2.5 5.72e+00    -  1.00e+00 3.82e-01h  1
+  55  1.6428668e+06 9.56e-04 1.32e+01  -2.5 3.02e+00    -  1.00e+00 6.29e-01h  1
+  56  1.6427346e+06 1.88e-04 5.08e-03  -2.5 1.27e+00    -  1.00e+00 1.00e+00h  1
+  57  1.6427345e+06 1.51e-05 4.36e-04  -2.5 9.18e-02    -  1.00e+00 1.00e+00h  1
+  58  1.6424877e+06 4.78e-04 1.14e+01  -3.8 8.45e+00    -  3.20e-01 2.07e-01f  1
+  59  1.6423677e+06 6.04e-04 3.03e+01  -3.8 8.12e+00    -  3.52e-01 1.29e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6422174e+06 7.77e-04 3.28e+01  -3.8 8.28e+00    -  3.25e-01 1.87e-01f  1
+  61  1.6419811e+06 1.29e-03 1.21e+01  -3.8 7.29e+00    -  1.75e-01 3.66e-01f  1
+  62  1.6419473e+06 1.19e-03 2.93e+01  -3.8 4.06e+00    -  5.44e-01 8.94e-02h  1
+  63  1.6418758e+06 1.04e-03 2.68e+01  -3.8 3.90e+00    -  4.11e-01 2.18e-01h  1
+  64  1.6418064e+06 9.41e-04 2.09e+01  -3.8 3.18e+00    -  4.16e-01 2.83e-01h  1
+  65  1.6417535e+06 7.80e-04 1.61e+01  -3.8 2.40e+00    -  5.61e-01 3.18e-01h  1
+  66  1.6417038e+06 5.75e-04 8.69e+00  -3.8 1.81e+00    -  4.98e-01 4.65e-01h  1
+  67  1.6416892e+06 4.25e-04 6.97e+00  -3.8 9.22e-01    -  7.31e-01 2.77e-01h  1
+  68  1.6416585e+06 1.33e-04 1.39e+00  -3.8 6.86e-01    -  1.00e+00 8.35e-01h  1
+  69  1.6416537e+06 4.76e-06 2.23e-04  -3.8 1.21e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6416426e+06 2.00e-05 9.92e-01  -5.7 8.32e-01    -  3.60e-01 2.42e-01f  1
+  71  1.6416267e+06 6.57e-05 5.04e-01  -5.7 6.31e-01    -  4.60e-01 4.65e-01h  1
+  72  1.6416191e+06 6.22e-05 9.09e-01  -5.7 3.48e-01    -  6.19e-01 4.24e-01h  1
+  73  1.6416157e+06 5.03e-05 1.73e+00  -5.7 2.23e-01    -  7.67e-01 3.27e-01h  1
+  74  1.6416113e+06 4.01e-05 6.40e-01  -5.7 1.66e-01    -  6.52e-01 6.32e-01h  1
+  75  1.6416092e+06 1.42e-05 2.37e-01  -5.7 8.67e-02    -  1.00e+00 8.63e-01h  1
+  76  1.6416088e+06 7.95e-07 8.24e-06  -5.7 3.11e-02    -  1.00e+00 1.00e+00f  1
+  77  1.6416088e+06 1.31e-08 4.67e-08  -5.7 3.27e-03    -  1.00e+00 1.00e+00h  1
+  78  1.6416085e+06 6.66e-07 4.98e-02  -7.0 3.20e-02    -  8.24e-01 7.41e-01h  1
+  79  1.6416083e+06 4.19e-07 3.09e-03  -7.0 1.72e-02    -  1.00e+00 9.93e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6416083e+06 3.18e-07 2.94e-02  -7.0 4.31e-03    -  1.00e+00 2.50e-01f  3
+  81  1.6416083e+06 4.48e-08 2.00e-07  -7.0 3.99e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 81
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8496995119810093e+04    1.6416083168831456e+06
+Dual infeasibility......:   1.9959518534587782e-07    1.7714072699446655e-05
+Constraint violation....:   4.4816070965403298e-08    4.4816070965403298e-08
+Variable bound violation:   8.8756348048946165e-08    8.8756348048946165e-08
+Complementarity.........:   9.4498780101208672e-08    8.3867667339822696e-06
+Overall NLP error.......:   1.9959518534587782e-07    1.7714072699446655e-05
+
+
+Number of objective function evaluations             = 84
+Number of objective gradient evaluations             = 82
+Number of equality constraint evaluations            = 84
+Number of inequality constraint evaluations          = 84
+Number of equality constraint Jacobian evaluations   = 82
+Number of inequality constraint Jacobian evaluations = 82
+Number of Lagrangian Hessian evaluations             = 81
+Total seconds in IPOPT                               = 111.800
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-1735.log b/solver_log/opf_ForkPoolWorker-1735.log
new file mode 100644
index 0000000000000000000000000000000000000000..27da19ec5d50e49066573039a5763b3ec0d7f75d
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-1735.log
@@ -0,0 +1,196 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.646
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581539
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2904433e+06 1.04e+01 5.35e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2957707e+06 1.03e+01 5.34e+01  -1.0 1.15e+01    -  6.70e-03 1.42e-02f  1
+   2  1.3009537e+06 1.00e+01 5.35e+01  -1.0 9.65e+00    -  6.93e-03 2.14e-02f  1
+   3  1.3063820e+06 9.79e+00 5.32e+01  -1.0 8.96e+00    -  1.43e-02 2.52e-02h  1
+   4  1.3153178e+06 9.41e+00 5.16e+01  -1.0 1.07e+01    -  3.49e-02 3.87e-02h  1
+   5  1.3244523e+06 9.07e+00 4.81e+01  -1.0 1.65e+01    -  5.18e-02 3.63e-02h  1
+   6  1.3411438e+06 8.50e+00 4.08e+01  -1.0 2.16e+01    -  1.06e-01 6.37e-02h  1
+   7  1.3714350e+06 7.51e+00 3.44e+01  -1.0 2.98e+01    -  1.36e-01 1.17e-01h  1
+   8  1.4022069e+06 6.57e+00 3.47e+01  -1.0 4.28e+01    -  5.68e-02 1.26e-01h  1
+   9  1.4247651e+06 5.91e+00 2.93e+01  -1.0 5.31e+01    -  1.34e-01 1.01e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.4564558e+06 5.00e+00 2.78e+01  -1.0 5.86e+01    -  8.97e-02 1.54e-01h  1
+  11  1.4760424e+06 4.44e+00 2.55e+01  -1.0 6.98e+01    -  9.29e-02 1.14e-01h  1
+  12  1.4957430e+06 3.85e+00 2.38e+01  -1.0 7.86e+01    -  8.89e-02 1.33e-01h  1
+  13  1.5123302e+06 3.32e+00 2.09e+01  -1.0 8.79e+01    -  1.26e-01 1.38e-01h  1
+  14  1.5248977e+06 2.88e+00 1.91e+01  -1.0 9.95e+01    -  9.79e-02 1.32e-01h  1
+  15  1.5369000e+06 2.42e+00 1.75e+01  -1.0 1.17e+02    -  1.03e-01 1.61e-01h  1
+  16  1.5441452e+06 2.08e+00 1.47e+01  -1.0 1.41e+02    -  1.58e-01 1.40e-01h  1
+  17  1.5485410e+06 1.83e+00 1.19e+01  -1.0 1.59e+02    -  1.69e-01 1.18e-01h  1
+  18  1.5534897e+06 1.43e+00 1.13e+01  -1.0 1.85e+02    -  1.10e-01 2.19e-01h  1
+  19  1.5530119e+06 1.26e+00 1.05e+01  -1.0 2.28e+02    -  8.27e-02 1.20e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.5508909e+06 1.08e+00 8.31e+00  -1.0 2.50e+02    -  1.89e-01 1.44e-01f  1
+  21  1.5444110e+06 8.24e-01 1.11e+01  -1.0 2.91e+02    -  1.43e-01 2.36e-01f  1
+  22  1.5393156e+06 7.21e-01 6.58e+00  -1.0 3.36e+02    -  1.51e-01 1.25e-01f  1
+  23  1.5341500e+06 6.23e-01 9.45e+00  -1.0 3.53e+02    -  1.08e-01 1.36e-01f  1
+  24  1.5283689e+06 5.32e-01 4.66e+00  -1.0 3.66e+02    -  1.75e-01 1.47e-01f  1
+  25  1.5219467e+06 4.46e-01 5.74e+00  -1.0 3.77e+02    -  1.48e-01 1.62e-01f  1
+  26  1.5172774e+06 3.90e-01 1.06e+01  -1.0 3.82e+02    -  2.01e-01 1.25e-01f  1
+  27  1.5115925e+06 3.27e-01 6.95e+00  -1.0 3.80e+02    -  1.54e-01 1.63e-01f  1
+  28  1.5090683e+06 2.95e-01 2.26e+02  -1.0 3.01e+02    -  4.05e-01 9.89e-02f  1
+  29  1.5039914e+06 2.08e-01 9.29e+01  -1.0 2.74e+02    -  1.65e-01 2.97e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.5031077e+06 1.80e-01 1.71e+02  -1.0 1.65e+02    -  3.41e-01 1.36e-01h  1
+  31  1.5019486e+06 1.12e-01 1.34e+02  -1.0 1.29e+02    -  4.75e-01 3.82e-01h  1
+  32  1.5018562e+06 7.98e-02 3.74e+02  -1.0 7.17e+01    -  8.71e-01 2.88e-01h  1
+  33  1.5021848e+06 3.96e-02 4.27e+02  -1.0 4.30e+01    -  9.90e-01 5.11e-01h  1
+  34  1.5027848e+06 8.68e-03 3.98e-01  -1.0 2.66e+01    -  1.00e+00 1.00e+00h  1
+  35  1.5027736e+06 4.89e-04 3.35e-02  -1.0 9.78e+00    -  1.00e+00 1.00e+00h  1
+  36  1.4916043e+06 1.06e-02 3.82e+02  -2.5 1.06e+02    -  3.70e-01 5.21e-01f  1
+  37  1.4903365e+06 1.19e-02 5.66e+01  -2.5 8.46e+01    -  3.46e-01 9.13e-02f  1
+  38  1.4871072e+06 2.04e-02 1.61e+02  -2.5 8.21e+01    -  3.44e-01 2.31e-01f  1
+  39  1.4862839e+06 1.91e-02 2.08e+02  -2.5 6.57e+01    -  1.58e-01 7.12e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.4836351e+06 1.54e-02 7.27e+01  -2.5 6.04e+01    -  8.30e-02 2.36e-01f  1
+  41  1.4821456e+06 1.27e-02 7.64e+01  -2.5 4.21e+01    -  1.99e-01 1.67e-01f  1
+  42  1.4811572e+06 1.10e-02 9.41e+01  -2.5 3.01e+01    -  1.99e-01 1.30e-01f  1
+  43  1.4797589e+06 8.68e-03 4.86e+01  -2.5 2.28e+01    -  1.23e-01 2.04e-01f  1
+  44  1.4785250e+06 6.74e-03 5.13e+01  -2.5 1.56e+01    -  2.68e-01 2.21e-01f  1
+  45  1.4777163e+06 5.51e-03 4.71e+01  -2.5 1.21e+01    -  2.05e-01 1.82e-01f  1
+  46  1.4768661e+06 4.27e-03 2.63e+01  -2.5 1.08e+01    -  1.67e-01 2.24e-01f  1
+  47  1.4764030e+06 3.63e-03 6.71e+01  -2.5 8.87e+00    -  4.37e-01 1.50e-01f  1
+  48  1.4755451e+06 3.24e-03 4.41e+01  -2.5 8.32e+00    -  3.03e-01 3.19e-01f  1
+  49  1.4750903e+06 2.91e-03 4.01e+01  -2.5 5.58e+00    -  3.42e-01 2.50e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.4747695e+06 2.53e-03 6.13e+01  -2.5 4.15e+00    -  7.91e-01 2.32e-01h  1
+  51  1.4740687e+06 2.63e-03 2.65e+01  -2.5 3.24e+00    -  1.00e+00 6.51e-01f  1
+  52  1.4737324e+06 6.90e-04 9.03e-03  -2.5 9.17e-01    -  1.00e+00 1.00e+00h  1
+  53  1.4737389e+06 4.47e-05 1.36e-03  -2.5 2.96e-01    -  1.00e+00 1.00e+00h  1
+  54  1.4735683e+06 2.35e-04 1.83e+01  -3.8 3.41e+00    -  3.19e-01 1.34e-01f  1
+  55  1.4732662e+06 1.15e-03 9.32e+00  -3.8 4.46e+00    -  2.23e-01 2.79e-01f  1
+  56  1.4731302e+06 1.17e-03 1.54e+01  -3.8 3.17e+00    -  3.12e-01 1.75e-01f  1
+  57  1.4730612e+06 1.14e-03 1.90e+01  -3.8 3.02e+00    -  2.50e-01 1.13e-01h  1
+  58  1.4729893e+06 1.13e-03 4.43e+01  -3.8 3.92e+00    -  3.85e-01 1.38e-01h  1
+  59  1.4728965e+06 1.18e-03 3.70e+01  -3.8 4.34e+00    -  3.03e-01 2.18e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.4728108e+06 1.15e-03 3.19e+01  -3.8 3.98e+00    -  4.14e-01 2.71e-01h  1
+  61  1.4727286e+06 1.00e-03 3.14e+01  -3.8 3.50e+00    -  7.72e-01 3.72e-01h  1
+  62  1.4726950e+06 7.74e-04 2.49e+01  -3.8 2.69e+00    -  9.09e-01 2.63e-01h  1
+  63  1.4726680e+06 5.58e-04 1.70e+01  -3.8 2.15e+00    -  1.00e+00 2.99e-01h  1
+  64  1.4726387e+06 3.06e-04 8.59e+00  -3.8 1.59e+00    -  6.97e-01 4.94e-01h  1
+  65  1.4726101e+06 1.17e-04 2.22e-03  -3.8 8.43e-01    -  1.00e+00 1.00e+00h  1
+  66  1.4726105e+06 6.28e-06 5.65e-05  -3.8 5.17e-02    -  1.00e+00 1.00e+00h  1
+  67  1.4726105e+06 1.20e-07 1.39e-06  -3.8 9.27e-03    -  1.00e+00 1.00e+00h  1
+  68  1.4725912e+06 5.45e-05 4.62e-01  -5.7 1.59e+00    -  4.54e-01 4.11e-01f  1
+  69  1.4725818e+06 1.04e-04 1.61e+00  -5.7 1.12e+00    -  5.44e-01 3.45e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.4725790e+06 1.00e-04 2.19e+00  -5.7 8.33e-01    -  5.02e-01 1.62e-01h  1
+  71  1.4725712e+06 2.06e-04 1.35e+00  -5.7 7.42e-01    -  7.10e-01 5.34e-01h  1
+  72  1.4725680e+06 1.46e-04 8.38e-01  -5.7 3.99e-01    -  7.23e-01 4.87e-01h  1
+  73  1.4725656e+06 7.21e-05 4.20e-01  -5.7 2.27e-01    -  1.00e+00 7.13e-01h  1
+  74  1.4725647e+06 7.86e-06 4.42e-05  -5.7 7.74e-02    -  1.00e+00 1.00e+00h  1
+  75  1.4725647e+06 3.21e-08 1.94e-07  -5.7 4.84e-03    -  1.00e+00 1.00e+00h  1
+  76  1.4725643e+06 1.95e-06 5.84e-03  -7.0 4.00e-02    -  7.88e-01 7.97e-01h  1
+  77  1.4725642e+06 3.93e-07 4.96e-03  -7.0 1.42e-02    -  1.00e+00 9.86e-01h  1
+  78  1.4725642e+06 1.98e-07 5.18e-02  -7.0 2.36e-03    -  1.00e+00 5.00e-01f  2
+  79  1.4725642e+06 1.40e-08 5.34e-08  -7.0 1.25e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 79
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.6332787872167417e+04    1.4725641545546143e+06
+Dual infeasibility......:   5.3387154411005774e-08    4.8133858416962807e-06
+Constraint violation....:   1.3952106692194377e-08    1.3952106692194377e-08
+Variable bound violation:   4.7574077122192193e-08    4.7574077122192193e-08
+Complementarity.........:   9.3876313674577142e-08    8.4638884408998759e-06
+Overall NLP error.......:   9.3876313674577142e-08    8.4638884408998759e-06
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 80
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 80
+Number of inequality constraint Jacobian evaluations = 80
+Number of Lagrangian Hessian evaluations             = 79
+Total seconds in IPOPT                               = 85.541
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-2083.log b/solver_log/opf_ForkPoolWorker-2083.log
new file mode 100644
index 0000000000000000000000000000000000000000..f6c3c78cd80f2d71ea85097b22ec8f2d36ca20b3
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-2083.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 10.126
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581537
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2928891e+06 8.51e+00 5.18e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3007135e+06 8.39e+00 5.14e+01  -1.0 1.36e+01    -  6.05e-03 1.40e-02f  1
+   2  1.3072691e+06 8.25e+00 5.11e+01  -1.0 1.12e+01    -  6.58e-03 1.68e-02f  1
+   3  1.3147713e+06 8.07e+00 5.04e+01  -1.0 1.05e+01    -  1.46e-02 2.19e-02h  1
+   4  1.3286707e+06 7.74e+00 4.91e+01  -1.0 1.28e+01    -  2.97e-02 4.02e-02h  1
+   5  1.3415240e+06 7.48e+00 4.58e+01  -1.0 2.12e+01    -  5.82e-02 3.42e-02h  1
+   6  1.3644277e+06 7.05e+00 4.11e+01  -1.0 2.80e+01    -  8.89e-02 5.80e-02h  1
+   7  1.4035263e+06 6.36e+00 3.77e+01  -1.0 3.91e+01    -  8.79e-02 9.82e-02h  1
+   8  1.4412846e+06 5.74e+00 3.32e+01  -1.0 5.64e+01    -  1.13e-01 9.85e-02h  1
+   9  1.4857642e+06 5.05e+00 2.98e+01  -1.0 7.13e+01    -  1.06e-01 1.20e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5283691e+06 4.41e+00 2.73e+01  -1.0 8.63e+01    -  9.32e-02 1.27e-01h  1
+  11  1.5684241e+06 3.83e+00 2.47e+01  -1.0 9.82e+01    -  1.03e-01 1.33e-01h  1
+  12  1.5959062e+06 3.42e+00 2.18e+01  -1.0 1.06e+02    -  1.14e-01 1.07e-01h  1
+  13  1.6267998e+06 2.94e+00 2.14e+01  -1.0 1.08e+02    -  4.69e-02 1.39e-01h  1
+  14  1.6394049e+06 2.74e+00 1.90e+01  -1.0 1.10e+02    -  1.02e-01 6.98e-02h  1
+  15  1.6659826e+06 2.29e+00 1.68e+01  -1.0 1.19e+02    -  1.30e-01 1.64e-01h  1
+  16  1.6835791e+06 1.95e+00 1.43e+01  -1.0 1.41e+02    -  1.48e-01 1.47e-01h  1
+  17  1.6939205e+06 1.72e+00 1.31e+01  -1.0 1.70e+02    -  9.78e-02 1.19e-01h  1
+  18  1.7027180e+06 1.48e+00 1.28e+01  -1.0 1.94e+02    -  6.04e-02 1.39e-01h  1
+  19  1.7090064e+06 1.22e+00 1.07e+01  -1.0 2.19e+02    -  1.68e-01 1.78e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7099597e+06 9.26e-01 9.77e+00  -1.0 2.62e+02    -  1.58e-01 2.39e-01h  1
+  21  1.7077187e+06 8.45e-01 8.08e+00  -1.0 3.09e+02    -  1.28e-01 8.75e-02f  1
+  22  1.7045876e+06 7.62e-01 7.44e+00  -1.0 3.25e+02    -  8.71e-02 9.84e-02f  1
+  23  1.6988957e+06 6.38e-01 6.25e+00  -1.0 3.36e+02    -  1.61e-01 1.63e-01f  1
+  24  1.6932233e+06 5.52e-01 8.56e+00  -1.0 3.68e+02    -  2.40e-01 1.35e-01f  1
+  25  1.6868363e+06 4.72e-01 4.77e+00  -1.0 3.93e+02    -  6.10e-02 1.45e-01f  1
+  26  1.6837315e+06 4.38e-01 4.63e+00  -1.0 3.81e+02    -  1.04e-01 7.31e-02f  1
+  27  1.6783054e+06 3.79e-01 4.75e+00  -1.0 3.64e+02    -  1.43e-01 1.35e-01f  1
+  28  1.6737997e+06 3.32e-01 4.83e+00  -1.0 3.47e+02    -  1.30e-01 1.23e-01f  1
+  29  1.6714728e+06 3.05e-01 1.40e+01  -1.0 3.00e+02    -  1.34e-01 8.40e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6687062e+06 2.61e-01 7.15e+01  -1.0 2.21e+02    -  2.24e-01 1.44e-01f  1
+  31  1.6675361e+06 2.29e-01 2.86e+01  -1.0 1.74e+02    -  7.25e-02 1.25e-01h  1
+  32  1.6672425e+06 2.13e-01 9.78e+01  -1.0 1.42e+02    -  1.82e-01 7.02e-02h  1
+  33  1.6668989e+06 1.68e-01 1.23e+02  -1.0 1.23e+02    -  2.92e-01 2.09e-01h  1
+  34  1.6674547e+06 1.25e-01 7.98e+01  -1.0 9.09e+01    -  2.33e-01 2.60e-01h  1
+  35  1.6684637e+06 7.77e-02 5.31e+01  -1.0 8.78e+01    -  3.93e-01 3.81e-01h  1
+  36  1.6689214e+06 6.38e-02 1.10e+02  -1.0 3.60e+01    -  3.29e-01 1.80e-01h  1
+  37  1.6706909e+06 2.26e-02 6.74e+01  -1.0 3.65e+01    -  7.04e-01 6.56e-01h  1
+  38  1.6721994e+06 6.77e-03 8.11e+00  -1.0 8.39e+00    -  9.90e-01 1.00e+00h  1
+  39  1.6722581e+06 1.02e-03 2.20e+00  -1.0 5.91e+00    -  9.96e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6722519e+06 3.88e-05 2.98e-04  -1.0 1.23e+00    -  1.00e+00 1.00e+00h  1
+  41  1.6642501e+06 5.98e-03 2.94e+02  -2.5 7.88e+01    -  4.80e-01 3.64e-01f  1
+  42  1.6597000e+06 5.88e-03 1.49e+02  -2.5 6.70e+01    -  2.08e-01 2.60e-01f  1
+  43  1.6584348e+06 5.51e-03 2.22e+02  -2.5 5.03e+01    -  1.78e-01 9.38e-02f  1
+  44  1.6551044e+06 6.23e-03 1.78e+02  -2.5 4.41e+01    -  2.74e-01 2.59e-01f  1
+  45  1.6544274e+06 5.89e-03 2.19e+02  -2.5 2.64e+01    -  1.62e-01 7.10e-02f  1
+  46  1.6532833e+06 5.40e-03 1.84e+02  -2.5 2.66e+01    -  1.17e-01 1.30e-01f  1
+  47  1.6516090e+06 5.26e-03 1.14e+02  -2.5 2.63e+01    -  1.22e-01 1.98e-01f  1
+  48  1.6503648e+06 5.00e-03 9.09e+01  -2.5 2.21e+01    -  1.73e-01 1.80e-01f  1
+  49  1.6485370e+06 6.09e-03 3.20e+01  -2.5 1.85e+01    -  2.01e-01 3.00e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6475714e+06 5.35e-03 1.75e+01  -2.5 1.61e+01    -  1.32e-01 2.02e-01f  1
+  51  1.6469546e+06 6.47e-03 6.02e+01  -2.5 1.35e+01    -  3.86e-01 1.56e-01f  1
+  52  1.6464375e+06 6.87e-03 5.35e+01  -2.5 1.07e+01    -  1.63e-01 1.49e-01f  1
+  53  1.6459082e+06 7.36e-03 7.06e+01  -2.5 1.02e+01    -  3.65e-01 1.77e-01f  1
+  54  1.6451626e+06 8.78e-03 4.90e+01  -2.5 9.03e+00    -  2.72e-01 2.86e-01f  1
+  55  1.6447834e+06 7.71e-03 9.65e+01  -2.5 5.20e+00    -  9.43e-01 2.01e-01f  1
+  56  1.6440215e+06 5.06e-03 4.91e+01  -2.5 2.85e+00    -  4.93e-01 4.91e-01f  1
+  57  1.6436908e+06 2.66e-03 2.91e+01  -2.5 1.87e+00    -  8.54e-01 4.54e-01h  1
+  58  1.6434380e+06 9.10e-04 1.60e+01  -2.5 9.84e-01    -  1.00e+00 6.79e-01h  1
+  59  1.6433271e+06 6.47e-05 2.80e-03  -2.5 4.50e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6430011e+06 6.18e-04 7.27e+00  -3.8 2.80e+00    -  1.83e-01 2.41e-01f  1
+  61  1.6428713e+06 6.55e-04 1.37e+01  -3.8 2.55e+00    -  3.50e-01 1.28e-01f  1
+  62  1.6427773e+06 6.57e-04 2.19e+01  -3.8 3.52e+00    -  2.81e-01 1.14e-01f  1
+  63  1.6426314e+06 7.90e-04 2.92e+01  -3.8 3.42e+00    -  4.73e-01 2.02e-01f  1
+  64  1.6424961e+06 9.48e-04 2.97e+01  -3.8 3.05e+00    -  5.59e-01 2.44e-01f  1
+  65  1.6423870e+06 1.00e-03 2.31e+01  -3.8 2.52e+00    -  4.23e-01 2.79e-01h  1
+  66  1.6423243e+06 8.92e-04 2.03e+01  -3.8 1.90e+00    -  6.46e-01 2.43e-01h  1
+  67  1.6422829e+06 7.44e-04 1.60e+01  -3.8 1.49e+00    -  4.64e-01 2.40e-01h  1
+  68  1.6422321e+06 5.52e-04 9.97e+00  -3.8 1.13e+00    -  7.36e-01 4.05e-01h  1
+  69  1.6422072e+06 3.77e-04 6.55e+00  -3.8 6.04e-01    -  7.24e-01 3.61e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6421842e+06 1.88e-04 4.44e+00  -3.8 3.70e-01    -  1.00e+00 5.45e-01h  1
+  71  1.6421659e+06 2.37e-05 2.10e-04  -3.8 1.96e-01    -  1.00e+00 1.00e+00h  1
+  72  1.6421661e+06 4.47e-07 1.35e-05  -3.8 2.02e-02    -  1.00e+00 1.00e+00h  1
+  73  1.6421500e+06 3.18e-05 3.33e+00  -5.7 5.33e-01    -  6.32e-01 3.58e-01f  1
+  74  1.6421356e+06 3.07e-05 1.58e+00  -5.7 2.92e-01    -  4.90e-01 5.02e-01h  1
+  75  1.6421298e+06 2.74e-05 1.87e+00  -5.7 1.42e-01    -  6.39e-01 4.16e-01h  1
+  76  1.6421253e+06 3.42e-05 1.34e+00  -5.7 1.00e-01    -  8.78e-01 5.63e-01h  1
+  77  1.6421225e+06 2.51e-05 2.91e-01  -5.7 6.43e-02    -  1.00e+00 7.94e-01h  1
+  78  1.6421218e+06 2.77e-06 2.29e-05  -5.7 2.26e-02    -  1.00e+00 1.00e+00h  1
+  79  1.6421218e+06 5.17e-08 9.63e-07  -5.7 3.93e-03    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6421214e+06 7.89e-07 3.12e-02  -7.0 1.50e-02    -  8.29e-01 7.79e-01h  1
+  81  1.6421213e+06 3.37e-07 3.51e-01  -7.0 7.04e-03    -  1.00e+00 8.47e-01h  1
+  82  1.6421213e+06 1.02e-07 1.51e-07  -7.0 3.00e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8213412677513010e+04    1.6421212870045730e+06
+Dual infeasibility......:   1.5054843414637896e-07    1.3573446822637526e-05
+Constraint violation....:   1.0228997630347403e-07    1.0228997630347403e-07
+Variable bound violation:   1.2461341292180350e-07    1.2461341292180350e-07
+Complementarity.........:   1.1595543574460596e-07    1.0454542086733675e-05
+Overall NLP error.......:   1.5054843414637896e-07    1.3573446822637526e-05
+
+
+Number of objective function evaluations             = 83
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 83
+Number of inequality constraint evaluations          = 83
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 185.803
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-2137.log b/solver_log/opf_ForkPoolWorker-2137.log
new file mode 100644
index 0000000000000000000000000000000000000000..d1003f4469e93b4ec88729fcb5f9668f4c91e3d4
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-2137.log
@@ -0,0 +1,201 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.879
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581544
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2940231e+06 8.99e+00 4.74e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3022525e+06 8.85e+00 4.69e+01  -1.0 1.34e+01    -  6.18e-03 1.53e-02f  1
+   2  1.3096190e+06 8.67e+00 4.68e+01  -1.0 1.09e+01    -  6.46e-03 2.05e-02h  1
+   3  1.3167111e+06 8.48e+00 4.63e+01  -1.0 1.02e+01    -  1.32e-02 2.19e-02h  1
+   4  1.3284981e+06 8.18e+00 4.49e+01  -1.0 1.32e+01    -  3.06e-02 3.54e-02h  1
+   5  1.3419989e+06 7.87e+00 4.18e+01  -1.0 1.97e+01    -  6.37e-02 3.80e-02h  1
+   6  1.3657775e+06 7.37e+00 3.86e+01  -1.0 2.65e+01    -  7.56e-02 6.43e-02h  1
+   7  1.4013936e+06 6.65e+00 3.36e+01  -1.0 3.73e+01    -  1.25e-01 9.76e-02h  1
+   8  1.4422162e+06 5.89e+00 2.95e+01  -1.0 5.17e+01    -  1.21e-01 1.16e-01h  1
+   9  1.4873310e+06 5.10e+00 2.63e+01  -1.0 6.54e+01    -  1.07e-01 1.35e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5256519e+06 4.43e+00 2.29e+01  -1.0 7.74e+01    -  1.32e-01 1.30e-01h  1
+  11  1.5667408e+06 3.74e+00 2.04e+01  -1.0 8.43e+01    -  1.12e-01 1.58e-01h  1
+  12  1.5938496e+06 3.26e+00 1.81e+01  -1.0 9.81e+01    -  1.13e-01 1.27e-01h  1
+  13  1.6189381e+06 2.82e+00 1.64e+01  -1.0 1.18e+02    -  1.02e-01 1.38e-01h  1
+  14  1.6466438e+06 2.29e+00 1.47e+01  -1.0 1.43e+02    -  1.14e-01 1.89e-01h  1
+  15  1.6596703e+06 1.99e+00 1.32e+01  -1.0 1.69e+02    -  1.09e-01 1.31e-01h  1
+  16  1.6662312e+06 1.82e+00 1.04e+01  -1.0 1.89e+02    -  1.85e-01 8.26e-02h  1
+  17  1.6785150e+06 1.46e+00 9.44e+00  -1.0 2.24e+02    -  1.22e-01 2.01e-01h  1
+  18  1.6815572e+06 1.27e+00 8.62e+00  -1.0 2.72e+02    -  1.02e-01 1.34e-01h  1
+  19  1.6819281e+06 1.06e+00 8.06e+00  -1.0 3.05e+02    -  1.11e-01 1.64e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6799901e+06 9.38e-01 5.73e+00  -1.0 3.49e+02    -  2.16e-01 1.14e-01f  1
+  21  1.6779057e+06 8.58e-01 2.87e+01  -1.0 3.79e+02    -  1.84e-01 8.53e-02f  1
+  22  1.6751983e+06 7.74e-01 2.58e+01  -1.0 4.05e+02    -  9.82e-02 9.82e-02f  1
+  23  1.6707458e+06 6.61e-01 1.85e+01  -1.0 4.30e+02    -  1.40e-01 1.47e-01f  1
+  24  1.6674121e+06 5.99e-01 4.81e+01  -1.0 4.58e+02    -  1.75e-01 9.31e-02f  1
+  25  1.6644490e+06 5.50e-01 6.29e+01  -1.0 4.59e+02    -  1.24e-01 8.27e-02f  1
+  26  1.6600156e+06 4.70e-01 7.07e+01  -1.0 4.53e+02    -  1.81e-01 1.45e-01f  1
+  27  1.6521352e+06 3.40e-01 5.19e+00  -1.0 4.47e+02    -  1.49e-01 2.78e-01f  1
+  28  1.6499416e+06 3.09e-01 4.90e+01  -1.0 3.97e+02    -  2.99e-01 8.99e-02f  1
+  29  1.6468582e+06 2.44e-01 5.99e+01  -1.0 3.02e+02    -  1.20e-01 2.12e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6458265e+06 2.03e-01 2.65e+01  -1.0 2.21e+02    -  2.06e-01 1.67e-01h  1
+  31  1.6453988e+06 1.68e-01 7.71e+01  -1.0 1.45e+02    -  3.51e-01 1.74e-01h  1
+  32  1.6458708e+06 1.27e-01 6.67e+01  -1.0 1.05e+02    -  2.71e-01 2.48e-01h  1
+  33  1.6464873e+06 9.53e-02 1.13e+02  -1.0 7.39e+01    -  3.97e-01 2.56e-01h  1
+  34  1.6474233e+06 6.16e-02 3.18e+02  -1.0 4.47e+01    -  8.38e-01 3.64e-01h  1
+  35  1.6497937e+06 3.54e-03 2.59e+02  -1.0 2.65e+01    -  5.25e-01 1.00e+00H  1
+  36  1.6499203e+06 1.64e-02 1.16e+01  -1.0 1.62e+01    -  9.90e-01 1.00e+00f  1
+  37  1.6499131e+06 2.10e-03 1.25e-02  -1.0 5.21e+00    -  1.00e+00 1.00e+00h  1
+  38  1.6418312e+06 1.77e-02 1.24e+02  -1.7 6.53e+01    -  5.35e-01 4.76e-01f  1
+  39  1.6384520e+06 1.25e-02 5.29e+01  -1.7 4.14e+01    -  2.15e-01 3.23e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6375563e+06 1.11e-02 6.89e+01  -1.7 3.21e+01    -  2.30e-01 1.15e-01f  1
+  41  1.6357729e+06 8.13e-03 3.64e+01  -1.7 2.59e+01    -  1.89e-01 2.61e-01f  1
+  42  1.6336971e+06 9.65e-03 5.87e+01  -1.7 2.25e+01    -  2.25e-01 3.64e-01f  1
+  43  1.6330752e+06 8.03e-03 2.14e+01  -1.7 1.45e+01    -  2.50e-01 1.74e-01f  1
+  44  1.6314920e+06 3.92e-03 1.52e+01  -1.7 1.24e+01    -  4.97e-01 5.15e-01f  1
+  45  1.6298582e+06 2.00e-03 6.02e+01  -1.7 6.36e+00    -  5.15e-01 9.63e-01f  1
+  46  1.6297380e+06 2.40e-04 2.88e+01  -1.7 2.03e+00    -  5.51e-01 1.00e+00h  1
+  47  1.6296966e+06 1.80e-05 3.19e-02  -1.7 6.94e-01    -  1.00e+00 1.00e+00h  1
+  48  1.6285955e+06 1.55e-03 1.94e+01  -2.5 1.84e+01    -  2.31e-01 1.86e-01f  1
+  49  1.6277613e+06 3.56e-03 1.15e+02  -2.5 1.85e+01    -  3.01e-01 1.71e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6261813e+06 1.62e-02 4.45e+01  -2.5 2.41e+01    -  1.56e-01 3.50e-01f  1
+  51  1.6257575e+06 1.50e-02 4.22e+01  -2.5 1.79e+01    -  3.64e-01 1.33e-01f  1
+  52  1.6253924e+06 1.38e-02 5.85e+01  -2.5 1.80e+01    -  2.72e-01 1.25e-01f  1
+  53  1.6249169e+06 1.28e-02 3.84e+01  -2.5 2.01e+01    -  1.19e-01 1.95e-01f  1
+  54  1.6243641e+06 1.09e-02 5.99e+01  -2.5 1.33e+01    -  5.55e-01 2.56e-01f  1
+  55  1.6237719e+06 9.07e-03 4.36e+01  -2.5 1.22e+01    -  4.56e-01 3.59e-01f  1
+  56  1.6234041e+06 6.88e-03 5.39e+01  -2.5 8.82e+00    -  1.00e+00 3.40e-01h  1
+  57  1.6227938e+06 4.51e-03 8.54e+01  -2.5 7.64e+00    -  2.18e-01 9.00e-01h  1
+  58  1.6227270e+06 3.55e-04 3.13e-02  -2.5 9.45e-01    -  1.00e+00 1.00e+00h  1
+  59  1.6227260e+06 3.16e-05 6.67e-04  -2.5 7.73e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6224715e+06 5.98e-04 2.32e+01  -3.8 1.41e+01    -  3.92e-01 1.90e-01f  1
+  61  1.6223427e+06 7.33e-04 1.94e+01  -3.8 1.36e+01    -  1.08e-01 1.21e-01f  1
+  62  1.6220630e+06 1.38e-03 2.53e+01  -3.8 1.10e+01    -  4.75e-01 2.96e-01f  1
+  63  1.6219804e+06 1.25e-03 3.46e+01  -3.8 4.98e+00    -  4.48e-01 1.30e-01h  1
+  64  1.6218710e+06 1.00e-03 3.51e+01  -3.8 3.91e+00    -  5.37e-01 2.11e-01h  1
+  65  1.6217823e+06 8.02e-04 2.90e+01  -3.8 3.03e+00    -  3.96e-01 2.33e-01h  1
+  66  1.6217111e+06 7.30e-04 2.26e+01  -3.8 2.12e+00    -  4.10e-01 2.63e-01h  1
+  67  1.6216666e+06 6.50e-04 1.86e+01  -3.8 1.62e+00    -  5.50e-01 2.40e-01h  1
+  68  1.6216084e+06 4.78e-04 1.17e+01  -3.8 1.20e+00    -  8.30e-01 4.46e-01h  1
+  69  1.6215916e+06 3.56e-04 8.85e+00  -3.8 6.86e-01    -  9.35e-01 2.57e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6215549e+06 1.20e-04 2.37e+00  -3.8 4.70e-01    -  5.06e-01 8.17e-01h  1
+  71  1.6215474e+06 1.83e-05 6.85e-04  -3.8 9.60e-02    -  1.00e+00 1.00e+00h  1
+  72  1.6215474e+06 7.39e-06 2.79e-04  -3.8 3.37e-02    -  1.00e+00 1.00e+00h  1
+  73  1.6215277e+06 4.14e-05 8.29e-01  -5.7 5.07e-01    -  5.13e-01 4.36e-01f  1
+  74  1.6215178e+06 3.50e-05 3.56e-01  -5.7 3.87e-01    -  3.65e-01 3.94e-01h  1
+  75  1.6215106e+06 2.80e-05 8.53e-01  -5.7 2.96e-01    -  6.22e-01 4.81e-01h  1
+  76  1.6215075e+06 2.14e-05 1.31e+00  -5.7 2.12e-01    -  6.00e-01 4.04e-01h  1
+  77  1.6215040e+06 1.39e-05 3.78e-01  -5.7 1.53e-01    -  7.69e-01 7.47e-01h  1
+  78  1.6215029e+06 2.52e-06 4.38e-02  -5.7 5.50e-02    -  1.00e+00 9.94e-01h  1
+  79  1.6215029e+06 1.90e-06 4.38e-01  -5.7 6.92e-03    -  1.00e+00 2.50e-01f  3
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6215029e+06 1.06e-07 7.27e-07  -5.7 5.71e-03    -  1.00e+00 1.00e+00h  1
+  81  1.6215024e+06 7.15e-07 1.17e-01  -7.0 1.97e-02    -  8.46e-01 9.15e-01h  1
+  82  1.6215023e+06 1.63e-07 1.06e-06  -7.0 4.56e-03    -  1.00e+00 1.00e+00h  1
+  83  1.6215023e+06 2.42e-08 5.69e-08  -7.0 8.40e-04    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 83
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7984719680695049e+04    1.6215023264114656e+06
+Dual infeasibility......:   5.6903650174133608e-08    5.1304330996998855e-06
+Constraint violation....:   2.4151237738856413e-08    2.4151237738856413e-08
+Variable bound violation:   1.1194893012600460e-07    1.1194893012600460e-07
+Complementarity.........:   1.0665822468360497e-07    9.6163055374738250e-06
+Overall NLP error.......:   1.0665822468360497e-07    9.6163055374738250e-06
+
+
+Number of objective function evaluations             = 87
+Number of objective gradient evaluations             = 84
+Number of equality constraint evaluations            = 87
+Number of inequality constraint evaluations          = 87
+Number of equality constraint Jacobian evaluations   = 84
+Number of inequality constraint Jacobian evaluations = 84
+Number of Lagrangian Hessian evaluations             = 83
+Total seconds in IPOPT                               = 86.977
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-2667.log b/solver_log/opf_ForkPoolWorker-2667.log
new file mode 100644
index 0000000000000000000000000000000000000000..b14e2a9859c6b338012cddddfe0b9a72abf8b07d
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-2667.log
@@ -0,0 +1,198 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 7.263
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581535
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2952206e+06 7.95e+00 5.96e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3000742e+06 7.85e+00 5.91e+01  -1.0 1.17e+01    -  7.27e-03 1.28e-02f  1
+   2  1.3048702e+06 7.70e+00 5.88e+01  -1.0 9.65e+00    -  6.15e-03 1.85e-02f  1
+   3  1.3105497e+06 7.52e+00 5.80e+01  -1.0 9.16e+00    -  1.48e-02 2.38e-02h  1
+   4  1.3208510e+06 7.23e+00 5.63e+01  -1.0 9.97e+00    -  3.08e-02 3.94e-02h  1
+   5  1.3335867e+06 6.90e+00 5.24e+01  -1.0 1.60e+01    -  6.56e-02 4.47e-02h  1
+   6  1.3535834e+06 6.43e+00 4.51e+01  -1.0 2.23e+01    -  1.24e-01 6.85e-02h  1
+   7  1.3872616e+06 5.68e+00 4.16e+01  -1.0 3.08e+01    -  8.71e-02 1.19e-01h  1
+   8  1.4156846e+06 5.05e+00 3.36e+01  -1.0 4.34e+01    -  1.75e-01 1.11e-01h  1
+   9  1.4489685e+06 4.35e+00 2.87e+01  -1.0 5.46e+01    -  1.45e-01 1.40e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.4825576e+06 3.62e+00 2.77e+01  -1.0 6.76e+01    -  5.90e-02 1.68e-01h  1
+  11  1.5013081e+06 3.19e+00 2.42e+01  -1.0 8.11e+01    -  1.25e-01 1.18e-01h  1
+  12  1.5201745e+06 2.74e+00 2.06e+01  -1.0 9.20e+01    -  1.47e-01 1.41e-01h  1
+  13  1.5334313e+06 2.39e+00 1.88e+01  -1.0 1.10e+02    -  9.66e-02 1.29e-01h  1
+  14  1.5380522e+06 2.25e+00 1.69e+01  -1.0 1.30e+02    -  9.06e-02 5.72e-02h  1
+  15  1.5515361e+06 1.85e+00 1.44e+01  -1.0 1.37e+02    -  1.57e-01 1.78e-01h  1
+  16  1.5595559e+06 1.53e+00 1.23e+01  -1.0 1.61e+02    -  1.50e-01 1.75e-01h  1
+  17  1.5628205e+06 1.30e+00 1.15e+01  -1.0 1.88e+02    -  8.36e-02 1.48e-01h  1
+  18  1.5634317e+06 1.16e+00 1.05e+01  -1.0 2.19e+02    -  9.51e-02 1.06e-01h  1
+  19  1.5625571e+06 1.03e+00 8.43e+00  -1.0 2.52e+02    -  1.74e-01 1.14e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.5589514e+06 8.67e-01 7.60e+00  -1.0 2.92e+02    -  1.16e-01 1.59e-01f  1
+  21  1.5553392e+06 7.78e-01 6.50e+00  -1.0 3.33e+02    -  1.32e-01 1.03e-01f  1
+  22  1.5522301e+06 7.18e-01 2.64e+01  -1.0 3.62e+02    -  2.16e-01 7.60e-02f  1
+  23  1.5438846e+06 5.74e-01 1.70e+01  -1.0 3.86e+02    -  1.02e-01 2.00e-01f  1
+  24  1.5414026e+06 5.41e-01 2.34e+01  -1.0 4.03e+02    -  1.49e-01 5.72e-02f  1
+  25  1.5328265e+06 4.35e-01 7.17e+00  -1.0 4.02e+02    -  1.24e-01 1.96e-01f  1
+  26  1.5263708e+06 3.70e-01 6.38e+00  -1.0 4.09e+02    -  1.88e-01 1.49e-01f  1
+  27  1.5221894e+06 3.30e-01 5.11e+00  -1.0 4.01e+02    -  1.05e-01 1.08e-01f  1
+  28  1.5200931e+06 3.08e-01 2.46e+01  -1.0 3.87e+02    -  1.61e-01 6.57e-02f  1
+  29  1.5136851e+06 2.36e-01 1.71e+01  -1.0 3.74e+02    -  2.29e-01 2.37e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.5125445e+06 2.21e-01 8.09e+01  -1.0 2.66e+02    -  3.01e-01 6.27e-02f  1
+  31  1.5100682e+06 1.72e-01 7.80e+01  -1.0 1.99e+02    -  2.76e-01 2.22e-01f  1
+  32  1.5093071e+06 1.28e-01 4.71e+01  -1.0 1.39e+02    -  2.31e-01 2.62e-01h  1
+  33  1.5094819e+06 1.06e-01 6.50e+01  -1.0 1.24e+02    -  2.32e-01 1.70e-01h  1
+  34  1.5096945e+06 4.92e-02 1.40e+02  -1.0 1.24e+02    -  2.09e-01 5.71e-01h  1
+  35  1.5095678e+06 3.30e-02 1.59e+02  -1.0 3.05e+01    -  6.61e-01 3.46e-01h  1
+  36  1.5097936e+06 1.98e-02 5.59e+01  -1.0 1.90e+01    -  3.68e-01 4.18e-01h  1
+  37  1.5101110e+06 8.15e-03 1.69e+01  -1.0 9.72e+00    -  5.89e-01 6.05e-01h  1
+  38  1.5101355e+06 3.04e-02 7.66e+01  -1.0 8.58e+00    -  9.90e-01 8.62e-01h  1
+  39  1.5102539e+06 6.33e-03 5.23e-02  -1.0 3.05e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.5063821e+06 7.22e-03 4.73e+02  -1.7 6.29e+01    -  4.67e-01 2.39e-01f  1
+  41  1.5019429e+06 1.13e-02 3.98e+02  -1.7 4.99e+01    -  3.87e-01 3.19e-01f  1
+  42  1.4989753e+06 8.14e-03 4.83e+02  -1.7 3.69e+01    -  5.85e-01 2.88e-01f  1
+  43  1.4934146e+06 1.59e-02 7.37e+01  -1.7 2.78e+01    -  4.28e-01 6.95e-01f  1
+  44  1.4919333e+06 7.71e-03 5.87e+01  -1.7 9.75e+00    -  6.89e-01 5.31e-01f  1
+  45  1.4905248e+06 7.12e-03 1.78e-01  -1.7 4.82e+00    -  1.00e+00 1.00e+00h  1
+  46  1.4905432e+06 5.78e-04 1.22e-02  -1.7 1.79e+00    -  1.00e+00 1.00e+00h  1
+  47  1.4887331e+06 1.92e-03 9.33e+00  -2.5 1.68e+01    -  3.29e-01 3.07e-01f  1
+  48  1.4881509e+06 1.69e-03 5.64e+01  -2.5 8.26e+00    -  2.98e-01 1.32e-01f  1
+  49  1.4868622e+06 2.25e-03 6.65e+00  -2.5 7.14e+00    -  1.60e-01 3.13e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.4865048e+06 2.14e-03 1.81e+01  -2.5 4.53e+00    -  1.94e-01 1.26e-01f  1
+  51  1.4856180e+06 2.67e-03 8.46e+00  -2.5 5.90e+00    -  2.14e-01 3.44e-01f  1
+  52  1.4850689e+06 2.47e-03 1.59e+01  -2.5 5.48e+00    -  4.77e-01 3.12e-01f  1
+  53  1.4847434e+06 2.17e-03 1.58e+01  -2.5 4.82e+00    -  3.03e-01 2.52e-01f  1
+  54  1.4844182e+06 1.77e-03 2.64e+01  -2.5 3.71e+00    -  6.12e-01 3.33e-01h  1
+  55  1.4839398e+06 1.41e-03 1.48e+01  -2.5 2.73e+00    -  1.00e+00 7.12e-01h  1
+  56  1.4837835e+06 3.82e-04 1.93e+00  -2.5 7.39e-01    -  1.00e+00 8.77e-01h  1
+  57  1.4837675e+06 2.51e-05 1.79e-03  -2.5 3.45e-01    -  1.00e+00 1.00e+00h  1
+  58  1.4835666e+06 3.15e-04 7.02e+00  -3.8 4.74e+00    -  2.40e-01 1.69e-01f  1
+  59  1.4834352e+06 4.45e-04 2.73e+01  -3.8 4.88e+00    -  4.09e-01 1.35e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.4831134e+06 1.86e-03 1.87e+01  -3.8 5.02e+00    -  4.05e-01 3.72e-01f  1
+  61  1.4830471e+06 1.73e-03 2.67e+01  -3.8 3.67e+00    -  4.77e-01 1.27e-01h  1
+  62  1.4830020e+06 1.59e-03 2.81e+01  -3.8 3.44e+00    -  3.76e-01 1.07e-01h  1
+  63  1.4828669e+06 1.54e-03 1.51e+01  -3.8 3.20e+00    -  1.06e-01 3.70e-01h  1
+  64  1.4828327e+06 1.35e-03 1.48e+01  -3.8 1.91e+00    -  4.06e-01 1.64e-01h  1
+  65  1.4828036e+06 1.17e-03 1.66e+01  -3.8 1.65e+00    -  8.26e-01 1.74e-01h  1
+  66  1.4827775e+06 9.91e-04 1.36e+01  -3.8 1.45e+00    -  5.02e-01 2.05e-01h  1
+  67  1.4827354e+06 7.49e-04 9.77e+00  -3.8 1.13e+00    -  1.00e+00 4.35e-01h  1
+  68  1.4826861e+06 4.37e-04 4.73e-01  -3.8 5.86e-01    -  1.00e+00 9.59e-01h  1
+  69  1.4826852e+06 3.68e-06 3.64e-05  -3.8 5.29e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.4826663e+06 1.81e-04 1.08e+00  -5.7 5.65e-01    -  3.12e-01 4.22e-01f  1
+  71  1.4826603e+06 1.41e-04 4.10e+00  -5.7 3.72e-01    -  6.49e-01 2.35e-01h  1
+  72  1.4826504e+06 6.98e-05 3.52e+00  -5.7 3.37e-01    -  6.35e-01 5.06e-01h  1
+  73  1.4826450e+06 4.10e-05 2.20e+00  -5.7 2.34e-01    -  6.41e-01 5.59e-01h  1
+  74  1.4826438e+06 2.90e-05 3.92e+00  -5.7 1.58e-01    -  1.00e+00 3.06e-01h  1
+  75  1.4826412e+06 1.24e-05 3.60e-01  -5.7 1.47e-01    -  6.96e-01 8.97e-01h  1
+  76  1.4826410e+06 1.79e-06 3.30e-06  -5.7 3.18e-02    -  1.00e+00 1.00e+00h  1
+  77  1.4826410e+06 1.67e-08 7.21e-08  -5.7 3.69e-03    -  1.00e+00 1.00e+00h  1
+  78  1.4826406e+06 4.86e-07 1.63e-01  -7.0 3.85e-02    -  8.33e-01 7.34e-01h  1
+  79  1.4826404e+06 3.45e-07 2.16e-06  -7.0 1.80e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.4826404e+06 4.93e-08 1.39e-07  -7.0 3.90e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 80
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.6444547862055719e+04    1.4826404352429437e+06
+Dual infeasibility......:   1.3926245013254926e-07    1.2555902503950641e-05
+Constraint violation....:   4.9273164348141718e-08    4.9273164348141718e-08
+Variable bound violation:   6.9259245449870832e-08    6.9259245449870832e-08
+Complementarity.........:   1.1108064151763614e-07    1.0015030639230073e-05
+Overall NLP error.......:   1.3926245013254926e-07    1.2555902503950641e-05
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 81
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 81
+Number of inequality constraint Jacobian evaluations = 81
+Number of Lagrangian Hessian evaluations             = 80
+Total seconds in IPOPT                               = 148.197
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-2765.log b/solver_log/opf_ForkPoolWorker-2765.log
new file mode 100644
index 0000000000000000000000000000000000000000..bb9912363eebde87086538e864013e795389895d
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-2765.log
@@ -0,0 +1,196 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 6.361
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581543
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2549951e+06 9.09e+00 5.63e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2614264e+06 8.99e+00 5.61e+01  -1.0 1.32e+01    -  6.16e-03 1.13e-02f  1
+   2  1.2701630e+06 8.79e+00 5.66e+01  -1.0 1.08e+01    -  5.71e-03 2.18e-02f  1
+   3  1.2772015e+06 8.61e+00 5.63e+01  -1.0 1.00e+01    -  1.28e-02 2.02e-02h  1
+   4  1.2885620e+06 8.33e+00 5.55e+01  -1.0 1.16e+01    -  2.45e-02 3.28e-02h  1
+   5  1.3017172e+06 8.03e+00 5.06e+01  -1.0 1.74e+01    -  5.93e-02 3.61e-02h  1
+   6  1.3240947e+06 7.56e+00 4.50e+01  -1.0 2.35e+01    -  1.41e-01 5.85e-02h  1
+   7  1.3706791e+06 6.67e+00 3.98e+01  -1.0 3.30e+01    -  5.63e-02 1.19e-01h  1
+   8  1.4064711e+06 6.02e+00 3.55e+01  -1.0 4.97e+01    -  1.32e-01 9.81e-02h  1
+   9  1.4522880e+06 5.23e+00 3.13e+01  -1.0 6.04e+01    -  9.93e-02 1.32e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.4889607e+06 4.60e+00 2.79e+01  -1.0 7.13e+01    -  1.05e-01 1.21e-01h  1
+  11  1.5287640e+06 3.92e+00 2.75e+01  -1.0 7.81e+01    -  5.64e-02 1.48e-01h  1
+  12  1.5496456e+06 3.55e+00 2.33e+01  -1.0 8.69e+01    -  1.38e-01 9.41e-02h  1
+  13  1.5808541e+06 2.99e+00 2.17e+01  -1.0 1.01e+02    -  8.97e-02 1.58e-01h  1
+  14  1.6040465e+06 2.55e+00 1.75e+01  -1.0 1.23e+02    -  1.87e-01 1.49e-01h  1
+  15  1.6265592e+06 2.06e+00 1.38e+01  -1.0 1.45e+02    -  2.06e-01 1.91e-01h  1
+  16  1.6351693e+06 1.84e+00 1.21e+01  -1.0 1.82e+02    -  1.19e-01 1.07e-01h  1
+  17  1.6431038e+06 1.61e+00 1.12e+01  -1.0 2.11e+02    -  8.92e-02 1.25e-01h  1
+  18  1.6526473e+06 1.25e+00 1.19e+01  -1.0 2.39e+02    -  1.04e-01 2.22e-01h  1
+  19  1.6535037e+06 1.12e+00 8.45e+00  -1.0 2.94e+02    -  1.79e-01 1.04e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6524873e+06 1.00e+00 9.74e+00  -1.0 3.28e+02    -  1.18e-01 1.05e-01h  1
+  21  1.6497103e+06 8.66e-01 6.66e+00  -1.0 3.54e+02    -  1.33e-01 1.37e-01f  1
+  22  1.6464905e+06 7.75e-01 1.44e+01  -1.0 3.80e+02    -  1.26e-01 1.05e-01f  1
+  23  1.6434649e+06 7.09e-01 3.28e+01  -1.0 3.98e+02    -  1.37e-01 8.49e-02f  1
+  24  1.6387186e+06 6.14e-01 2.17e+01  -1.0 4.17e+02    -  1.11e-01 1.33e-01f  1
+  25  1.6329565e+06 5.23e-01 3.13e+01  -1.0 4.35e+02    -  1.88e-01 1.49e-01f  1
+  26  1.6272770e+06 4.47e-01 1.11e+01  -1.0 4.45e+02    -  7.22e-02 1.45e-01f  1
+  27  1.6255591e+06 4.25e-01 3.01e+01  -1.0 4.36e+02    -  1.68e-01 4.81e-02f  1
+  28  1.6214755e+06 3.57e-01 2.35e+01  -1.0 4.19e+02    -  1.52e-01 1.60e-01f  1
+  29  1.6190753e+06 3.15e-01 2.66e+01  -1.0 3.83e+02    -  1.52e-01 1.19e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6172468e+06 2.58e-01 4.29e+01  -1.0 2.73e+02    -  2.27e-01 1.81e-01h  1
+  31  1.6170520e+06 1.98e-01 2.03e+02  -1.0 1.98e+02    -  4.67e-01 2.36e-01h  1
+  32  1.6183711e+06 1.26e-01 1.45e+02  -1.0 1.23e+02    -  4.05e-01 3.71e-01h  1
+  33  1.6192860e+06 9.62e-02 2.37e+02  -1.0 6.79e+01    -  6.44e-01 2.38e-01h  1
+  34  1.6211414e+06 5.23e-02 3.79e+02  -1.0 6.01e+01    -  9.90e-01 4.71e-01h  1
+  35  1.6235689e+06 1.29e-02 9.10e+01  -1.0 2.47e+01    -  8.34e-01 1.00e+00h  1
+  36  1.6236407e+06 3.41e-03 9.98e-02  -1.0 1.47e+01    -  1.00e+00 1.00e+00h  1
+  37  1.6149445e+06 2.16e-02 3.88e+01  -1.7 8.11e+01    -  4.62e-01 4.81e-01f  1
+  38  1.6125519e+06 1.84e-02 4.82e+01  -1.7 5.60e+01    -  1.93e-01 2.09e-01f  1
+  39  1.6105949e+06 1.48e-02 2.46e+01  -1.7 4.61e+01    -  2.71e-01 2.01e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6077577e+06 9.30e-03 6.85e+01  -1.7 3.51e+01    -  2.31e-01 3.61e-01f  1
+  41  1.6069984e+06 7.97e-03 3.95e+01  -1.7 1.98e+01    -  2.76e-01 1.41e-01f  1
+  42  1.6041835e+06 3.31e-03 4.96e+01  -1.7 1.98e+01    -  4.17e-01 5.65e-01f  1
+  43  1.6028744e+06 2.40e-03 4.60e+01  -1.7 8.22e+00    -  4.41e-01 5.58e-01f  1
+  44  1.6017880e+06 1.87e-03 4.73e+00  -1.7 3.94e+00    -  1.00e+00 9.31e-01f  1
+  45  1.6016954e+06 7.87e-05 2.65e-02  -1.7 6.68e-01    -  1.00e+00 1.00e+00h  1
+  46  1.6001050e+06 2.45e-03 4.07e+01  -2.5 2.07e+01    -  1.63e-01 2.58e-01f  1
+  47  1.5991882e+06 2.84e-03 1.57e+01  -2.5 1.28e+01    -  2.90e-01 1.89e-01f  1
+  48  1.5986534e+06 2.80e-03 3.08e+01  -2.5 1.07e+01    -  2.28e-01 1.26e-01f  1
+  49  1.5975792e+06 5.44e-03 5.76e+01  -2.5 1.37e+01    -  1.58e-01 2.93e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.5971350e+06 5.10e-03 4.97e+01  -2.5 7.96e+00    -  4.42e-01 1.52e-01f  1
+  51  1.5963769e+06 5.54e-03 3.58e+01  -2.5 7.40e+00    -  2.55e-01 2.86e-01f  1
+  52  1.5957956e+06 5.17e-03 2.11e+02  -2.5 4.89e+00    -  6.96e-01 3.04e-01f  1
+  53  1.5953711e+06 4.27e-03 1.02e+02  -2.5 4.49e+00    -  1.00e+00 3.12e-01f  1
+  54  1.5949669e+06 3.19e-03 8.35e+01  -2.5 2.85e+00    -  1.00e+00 4.43e-01h  1
+  55  1.5945595e+06 1.22e-03 7.95e+00  -2.5 1.81e+00    -  1.00e+00 8.83e-01h  1
+  56  1.5945160e+06 2.89e-05 7.67e-04  -2.5 4.55e-01    -  1.00e+00 1.00e+00h  1
+  57  1.5941290e+06 1.29e-03 1.42e+00  -3.8 5.95e+00    -  3.24e-01 3.09e-01f  1
+  58  1.5940519e+06 1.27e-03 2.32e+01  -3.8 8.03e+00    -  3.97e-01 8.83e-02f  1
+  59  1.5939355e+06 1.33e-03 3.28e+01  -3.8 8.69e+00    -  4.46e-01 1.51e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.5937933e+06 1.53e-03 3.17e+01  -3.8 8.49e+00    -  4.57e-01 2.26e-01f  1
+  61  1.5936930e+06 1.52e-03 2.89e+01  -3.8 6.75e+00    -  4.88e-01 2.22e-01h  1
+  62  1.5936157e+06 1.38e-03 2.50e+01  -3.8 4.66e+00    -  5.79e-01 2.37e-01h  1
+  63  1.5935545e+06 1.17e-03 2.07e+01  -3.8 3.70e+00    -  8.38e-01 2.59e-01h  1
+  64  1.5934644e+06 8.92e-04 1.08e+01  -3.8 2.85e+00    -  1.00e+00 5.50e-01h  1
+  65  1.5934286e+06 4.64e-04 4.83e+00  -3.8 1.19e+00    -  1.00e+00 5.55e-01h  1
+  66  1.5934032e+06 1.43e-04 8.40e-02  -3.8 4.94e-01    -  1.00e+00 9.81e-01h  1
+  67  1.5934032e+06 3.44e-06 1.77e-04  -3.8 8.19e-02    -  1.00e+00 1.00e+00h  1
+  68  1.5933882e+06 4.35e-05 1.37e+00  -5.7 1.00e+00    -  4.86e-01 3.28e-01f  1
+  69  1.5933743e+06 7.61e-05 1.49e+00  -5.7 7.84e-01    -  6.03e-01 4.63e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.5933692e+06 6.00e-05 1.70e+00  -5.7 5.18e-01    -  5.73e-01 3.19e-01h  1
+  71  1.5933643e+06 4.13e-05 1.22e+00  -5.7 3.88e-01    -  7.07e-01 4.58e-01h  1
+  72  1.5933613e+06 2.31e-05 9.73e-01  -5.7 2.31e-01    -  1.00e+00 5.08e-01h  1
+  73  1.5933587e+06 1.94e-05 1.07e-01  -5.7 1.24e-01    -  1.00e+00 9.40e-01h  1
+  74  1.5933586e+06 2.97e-07 8.75e-06  -5.7 1.33e-02    -  1.00e+00 1.00e+00h  1
+  75  1.5933586e+06 3.43e-08 2.22e-06  -5.7 4.21e-03    -  1.00e+00 1.00e+00h  1
+  76  1.5933583e+06 7.78e-07 6.26e-01  -7.0 2.82e-02    -  8.15e-01 5.77e-01h  1
+  77  1.5933581e+06 8.78e-07 2.23e-01  -7.0 1.52e-02    -  1.00e+00 9.10e-01h  1
+  78  1.5933580e+06 4.44e-08 1.13e-06  -7.0 4.48e-03    -  1.00e+00 1.00e+00f  1
+  79  1.5933580e+06 1.32e-09 4.75e-08  -7.0 8.09e-04    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 79
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7672560382178093e+04    1.5933580440571769e+06
+Dual infeasibility......:   4.7488122991240175e-08    4.2815291688902142e-06
+Constraint violation....:   1.3206809222621185e-09    1.3206809222621185e-09
+Variable bound violation:   5.2752372248221491e-08    5.2752372248221491e-08
+Complementarity.........:   9.2562951945917109e-08    8.3454757474438870e-06
+Overall NLP error.......:   9.2562951945917109e-08    8.3454757474438870e-06
+
+
+Number of objective function evaluations             = 80
+Number of objective gradient evaluations             = 80
+Number of equality constraint evaluations            = 80
+Number of inequality constraint evaluations          = 80
+Number of equality constraint Jacobian evaluations   = 80
+Number of inequality constraint Jacobian evaluations = 80
+Number of Lagrangian Hessian evaluations             = 79
+Total seconds in IPOPT                               = 99.567
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-3198.log b/solver_log/opf_ForkPoolWorker-3198.log
new file mode 100644
index 0000000000000000000000000000000000000000..f679d06cab9d71d55e616f4f60a245ad9b626c63
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-3198.log
@@ -0,0 +1,198 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 16.125
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581541
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2433238e+06 8.85e+00 5.24e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2507801e+06 8.74e+00 5.17e+01  -1.0 1.41e+01    -  5.92e-03 1.26e-02f  1
+   2  1.2595388e+06 8.55e+00 5.14e+01  -1.0 1.12e+01    -  6.14e-03 2.09e-02h  1
+   3  1.2670000e+06 8.38e+00 5.08e+01  -1.0 1.04e+01    -  1.43e-02 2.02e-02h  1
+   4  1.2810778e+06 8.06e+00 4.96e+01  -1.0 1.30e+01    -  2.73e-02 3.85e-02h  1
+   5  1.2937556e+06 7.80e+00 4.61e+01  -1.0 2.11e+01    -  6.05e-02 3.26e-02h  1
+   6  1.3186539e+06 7.32e+00 4.33e+01  -1.0 2.79e+01    -  6.01e-02 6.18e-02h  1
+   7  1.3536572e+06 6.68e+00 3.92e+01  -1.0 4.03e+01    -  9.28e-02 8.78e-02h  1
+   8  1.3928356e+06 6.01e+00 3.44e+01  -1.0 5.70e+01    -  1.18e-01 1.01e-01h  1
+   9  1.4343895e+06 5.35e+00 3.10e+01  -1.0 7.43e+01    -  1.01e-01 1.12e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.4833595e+06 4.58e+00 2.87e+01  -1.0 9.08e+01    -  8.87e-02 1.45e-01h  1
+  11  1.5138905e+06 4.10e+00 2.61e+01  -1.0 1.08e+02    -  9.38e-02 1.05e-01h  1
+  12  1.5461837e+06 3.59e+00 2.27e+01  -1.0 1.15e+02    -  1.28e-01 1.24e-01h  1
+  13  1.5816385e+06 3.02e+00 2.22e+01  -1.0 1.20e+02    -  4.86e-02 1.59e-01h  1
+  14  1.6075969e+06 2.59e+00 1.83e+01  -1.0 1.21e+02    -  1.69e-01 1.45e-01h  1
+  15  1.6268749e+06 2.23e+00 1.61e+01  -1.0 1.32e+02    -  1.25e-01 1.37e-01h  1
+  16  1.6450134e+06 1.86e+00 1.47e+01  -1.0 1.54e+02    -  1.10e-01 1.65e-01h  1
+  17  1.6546146e+06 1.64e+00 1.30e+01  -1.0 1.84e+02    -  1.20e-01 1.21e-01h  1
+  18  1.6642404e+06 1.39e+00 1.12e+01  -1.0 2.17e+02    -  1.37e-01 1.52e-01h  1
+  19  1.6709627e+06 1.14e+00 1.00e+01  -1.0 2.56e+02    -  1.30e-01 1.77e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6717523e+06 1.07e+00 8.64e+00  -1.0 2.98e+02    -  1.12e-01 6.53e-02h  1
+  21  1.6725987e+06 8.93e-01 7.36e+00  -1.0 3.15e+02    -  1.54e-01 1.65e-01h  1
+  22  1.6709735e+06 7.75e-01 6.05e+00  -1.0 3.56e+02    -  1.60e-01 1.32e-01f  1
+  23  1.6675663e+06 6.56e-01 5.08e+00  -1.0 3.90e+02    -  1.58e-01 1.53e-01f  1
+  24  1.6641974e+06 5.77e-01 6.18e+00  -1.0 4.12e+02    -  9.23e-02 1.20e-01f  1
+  25  1.6612377e+06 5.16e-01 1.53e+01  -1.0 4.14e+02    -  2.06e-01 1.06e-01f  1
+  26  1.6549278e+06 3.98e-01 5.03e+00  -1.0 4.25e+02    -  1.44e-01 2.29e-01f  1
+  27  1.6523580e+06 3.59e-01 9.68e+00  -1.0 4.01e+02    -  1.67e-01 9.72e-02f  1
+  28  1.6489529e+06 3.06e-01 9.91e+00  -1.0 3.68e+02    -  1.55e-01 1.47e-01f  1
+  29  1.6470210e+06 2.71e-01 2.38e+01  -1.0 3.04e+02    -  1.79e-01 1.17e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6463710e+06 2.46e-01 1.26e+01  -1.0 2.19e+02    -  5.83e-02 9.24e-02h  1
+  31  1.6462345e+06 2.23e-01 1.73e+02  -1.0 1.74e+02    -  3.60e-01 9.38e-02h  1
+  32  1.6470156e+06 1.54e-01 8.45e+01  -1.0 1.47e+02    -  2.21e-01 3.16e-01h  1
+  33  1.6484998e+06 8.57e-02 6.50e+01  -1.0 9.09e+01    -  2.56e-01 4.59e-01h  1
+  34  1.6492189e+06 6.26e-02 9.50e+01  -1.0 7.38e+01    -  5.06e-01 2.76e-01h  1
+  35  1.6501663e+06 3.97e-02 3.94e+02  -1.0 5.89e+01    -  8.85e-01 3.76e-01h  1
+  36  1.6525003e+06 1.17e-02 9.56e+01  -1.0 2.52e+01    -  8.37e-01 1.00e+00h  1
+  37  1.6525479e+06 3.85e-04 6.57e+00  -1.0 3.07e+00    -  9.91e-01 1.00e+00h  1
+  38  1.6525484e+06 1.60e-06 1.10e-04  -1.0 1.38e-01    -  1.00e+00 1.00e+00h  1
+  39  1.6471325e+06 5.88e-03 4.33e+02  -2.5 8.52e+01    -  4.19e-01 2.47e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6465842e+06 9.06e-03 7.45e+02  -2.5 8.12e+01    -  2.56e-01 3.25e-02f  1
+  41  1.6417051e+06 8.01e-03 4.80e+02  -2.5 7.35e+01    -  2.35e-01 2.84e-01f  1
+  42  1.6385057e+06 8.11e-03 2.77e+02  -2.5 4.52e+01    -  1.28e-01 2.37e-01f  1
+  43  1.6373097e+06 7.43e-03 2.62e+02  -2.5 4.01e+01    -  1.29e-01 1.08e-01f  1
+  44  1.6344164e+06 6.44e-03 1.25e+02  -2.5 3.44e+01    -  1.40e-01 2.87e-01f  1
+  45  1.6332107e+06 6.05e-03 1.75e+02  -2.5 2.53e+01    -  3.26e-01 1.48e-01f  1
+  46  1.6316839e+06 5.89e-03 1.22e+02  -2.5 2.19e+01    -  1.54e-01 2.03e-01f  1
+  47  1.6308849e+06 5.41e-03 1.26e+02  -2.5 1.74e+01    -  1.95e-01 1.28e-01f  1
+  48  1.6297174e+06 4.94e-03 1.10e+02  -2.5 1.61e+01    -  2.37e-01 2.02e-01f  1
+  49  1.6284938e+06 4.29e-03 7.95e+01  -2.5 1.44e+01    -  2.41e-01 2.53e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6277382e+06 4.61e-03 8.20e+01  -2.5 9.51e+00    -  3.20e-01 2.06e-01f  1
+  51  1.6269656e+06 4.67e-03 5.45e+01  -2.5 8.11e+00    -  1.99e-01 2.54e-01f  1
+  52  1.6263044e+06 4.31e-03 6.18e+01  -2.5 6.01e+00    -  4.97e-01 2.82e-01f  1
+  53  1.6256681e+06 3.52e-03 4.64e+01  -2.5 3.91e+00    -  4.96e-01 3.71e-01f  1
+  54  1.6253969e+06 2.73e-03 4.93e+01  -2.5 2.42e+00    -  7.06e-01 2.58e-01h  1
+  55  1.6250875e+06 1.74e-03 3.13e+01  -2.5 1.63e+00    -  6.02e-01 4.08e-01h  1
+  56  1.6246541e+06 8.78e-04 1.67e-02  -2.5 1.27e+00    -  1.00e+00 1.00e+00h  1
+  57  1.6246627e+06 5.03e-05 4.99e-04  -2.5 1.98e-01    -  1.00e+00 1.00e+00h  1
+  58  1.6243666e+06 5.35e-04 1.18e+01  -3.8 3.34e+00    -  3.37e-01 2.20e-01f  1
+  59  1.6242453e+06 5.74e-04 2.31e+01  -3.8 3.13e+00    -  2.99e-01 1.16e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6240936e+06 6.05e-04 4.36e+01  -3.8 2.81e+00    -  3.95e-01 1.71e-01f  1
+  61  1.6239890e+06 5.95e-04 9.00e+01  -3.8 3.48e+00    -  3.74e-01 1.53e-01f  1
+  62  1.6238869e+06 6.50e-04 9.98e+01  -3.8 2.65e+00    -  3.45e-01 1.90e-01f  1
+  63  1.6237810e+06 6.99e-04 7.61e+01  -3.8 2.13e+00    -  2.80e-01 2.60e-01f  1
+  64  1.6236786e+06 7.33e-04 7.51e+01  -3.8 1.62e+00    -  7.49e-01 3.59e-01h  1
+  65  1.6236360e+06 6.17e-04 6.40e+01  -3.8 1.34e+00    -  5.39e-01 2.53e-01h  1
+  66  1.6235962e+06 4.59e-04 4.88e+01  -3.8 1.03e+00    -  1.00e+00 3.36e-01h  1
+  67  1.6235582e+06 2.72e-04 2.27e+01  -3.8 7.72e-01    -  5.07e-01 5.37e-01h  1
+  68  1.6235324e+06 3.44e-04 3.86e+00  -3.8 3.59e-01    -  6.33e-01 8.30e-01h  1
+  69  1.6235280e+06 1.30e-05 4.45e-04  -3.8 1.32e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6235102e+06 7.11e-05 2.55e+00  -5.7 5.49e-01    -  4.65e-01 3.98e-01f  1
+  71  1.6235039e+06 6.08e-05 4.79e+00  -5.7 3.53e-01    -  3.59e-01 2.38e-01h  1
+  72  1.6234958e+06 4.98e-05 2.85e+00  -5.7 2.67e-01    -  4.52e-01 4.03e-01h  1
+  73  1.6234900e+06 3.68e-05 1.46e+00  -5.7 2.02e-01    -  4.69e-01 4.89e-01h  1
+  74  1.6234854e+06 2.39e-05 3.62e-01  -5.7 1.23e-01    -  7.60e-01 7.50e-01h  1
+  75  1.6234848e+06 1.41e-05 1.81e+00  -5.7 7.74e-02    -  8.61e-01 4.15e-01h  1
+  76  1.6234839e+06 2.40e-06 4.18e-05  -5.7 5.72e-02    -  1.00e+00 1.00e+00f  1
+  77  1.6234839e+06 3.35e-08 7.76e-07  -5.7 6.66e-03    -  1.00e+00 1.00e+00h  1
+  78  1.6234835e+06 3.79e-07 8.71e-03  -7.0 2.40e-02    -  7.88e-01 7.78e-01h  1
+  79  1.6234834e+06 1.90e-07 1.88e-06  -7.0 1.31e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6234834e+06 2.19e-08 2.25e-07  -7.0 3.74e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 80
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8006692430395320e+04    1.6234833895244421e+06
+Dual infeasibility......:   2.2504024510261862e-07    2.0289628498452096e-05
+Constraint violation....:   2.1854516418784442e-08    2.1854516418784442e-08
+Variable bound violation:   4.8725157242301975e-08    4.8725157242301975e-08
+Complementarity.........:   1.2462510238602684e-07    1.1236199231124180e-05
+Overall NLP error.......:   2.2504024510261862e-07    2.0289628498452096e-05
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 81
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 81
+Number of inequality constraint Jacobian evaluations = 81
+Number of Lagrangian Hessian evaluations             = 80
+Total seconds in IPOPT                               = 189.150
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-456.log b/solver_log/opf_ForkPoolWorker-456.log
new file mode 100644
index 0000000000000000000000000000000000000000..4f867521c8ada4e272610fb009b3d79b5c8b09dc
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-456.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.315
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581547
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3136885e+06 9.36e+00 5.66e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3240481e+06 9.22e+00 5.66e+01  -1.0 1.43e+01    -  5.42e-03 1.51e-02f  1
+   2  1.3315766e+06 9.07e+00 5.65e+01  -1.0 1.12e+01    -  6.04e-03 1.63e-02h  1
+   3  1.3401211e+06 8.87e+00 5.62e+01  -1.0 1.03e+01    -  1.11e-02 2.13e-02h  1
+   4  1.3530828e+06 8.60e+00 5.49e+01  -1.0 1.29e+01    -  2.55e-02 3.12e-02h  1
+   5  1.3675025e+06 8.32e+00 5.14e+01  -1.0 1.91e+01    -  5.44e-02 3.26e-02h  1
+   6  1.3929457e+06 7.87e+00 4.62e+01  -1.0 2.54e+01    -  8.74e-02 5.43e-02h  1
+   7  1.4377677e+06 7.13e+00 4.05e+01  -1.0 3.52e+01    -  1.13e-01 9.42e-02h  1
+   8  1.4865367e+06 6.39e+00 3.52e+01  -1.0 5.01e+01    -  1.24e-01 1.05e-01h  1
+   9  1.5415469e+06 5.59e+00 3.38e+01  -1.0 6.38e+01    -  6.83e-02 1.25e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5871960e+06 4.95e+00 2.82e+01  -1.0 7.66e+01    -  1.48e-01 1.16e-01h  1
+  11  1.6397144e+06 4.23e+00 2.67e+01  -1.0 8.55e+01    -  8.68e-02 1.46e-01h  1
+  12  1.6772502e+06 3.71e+00 2.34e+01  -1.0 9.25e+01    -  1.25e-01 1.23e-01h  1
+  13  1.7120935e+06 3.22e+00 2.27e+01  -1.0 1.01e+02    -  6.30e-02 1.32e-01h  1
+  14  1.7479547e+06 2.70e+00 1.93e+01  -1.0 1.19e+02    -  1.53e-01 1.63e-01h  1
+  15  1.7699297e+06 2.35e+00 1.75e+01  -1.0 1.45e+02    -  1.07e-01 1.30e-01h  1
+  16  1.7880968e+06 2.03e+00 1.47e+01  -1.0 1.68e+02    -  1.50e-01 1.33e-01h  1
+  17  1.8006780e+06 1.80e+00 1.33e+01  -1.0 2.04e+02    -  1.03e-01 1.17e-01h  1
+  18  1.8145758e+06 1.49e+00 1.29e+01  -1.0 2.38e+02    -  6.52e-02 1.72e-01h  1
+  19  1.8191693e+06 1.34e+00 1.09e+01  -1.0 2.82e+02    -  1.41e-01 9.58e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.8228417e+06 1.20e+00 8.53e+00  -1.0 3.11e+02    -  1.94e-01 1.04e-01h  1
+  21  1.8260849e+06 1.02e+00 7.82e+00  -1.0 3.45e+02    -  9.86e-02 1.56e-01h  1
+  22  1.8263379e+06 9.65e-01 3.88e+01  -1.0 3.80e+02    -  1.49e-01 5.02e-02h  1
+  23  1.8260652e+06 7.73e-01 3.25e+01  -1.0 4.00e+02    -  1.01e-01 1.99e-01h  1
+  24  1.8241274e+06 6.78e-01 3.04e+01  -1.0 4.37e+02    -  1.20e-01 1.23e-01f  1
+  25  1.8220218e+06 6.08e-01 2.18e+01  -1.0 4.52e+02    -  1.93e-01 1.02e-01f  1
+  26  1.8189510e+06 5.34e-01 2.53e+01  -1.0 4.62e+02    -  1.42e-01 1.23e-01f  1
+  27  1.8149479e+06 4.48e-01 2.69e+01  -1.0 4.58e+02    -  1.85e-01 1.60e-01f  1
+  28  1.8110970e+06 3.76e-01 2.90e+01  -1.0 4.44e+02    -  2.38e-01 1.61e-01f  1
+  29  1.8091621e+06 3.26e-01 2.83e+01  -1.0 3.75e+02    -  1.67e-01 1.33e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.8084766e+06 2.87e-01 4.69e+01  -1.0 2.58e+02    -  2.12e-01 1.20e-01h  1
+  31  1.8082527e+06 2.41e-01 4.66e+01  -1.0 2.04e+02    -  1.91e-01 1.63e-01h  1
+  32  1.8086830e+06 2.06e-01 2.49e+01  -1.0 1.57e+02    -  9.66e-02 1.46e-01h  1
+  33  1.8096459e+06 1.45e-01 5.21e+01  -1.0 1.28e+02    -  4.05e-01 3.02e-01h  1
+  34  1.8101694e+06 1.24e-01 9.88e+01  -1.0 7.81e+01    -  2.75e-01 1.49e-01h  1
+  35  1.8130883e+06 7.08e-02 3.21e+01  -1.0 6.64e+01    -  3.85e-01 4.36e-01h  1
+  36  1.8150896e+06 3.72e-02 3.16e+01  -1.0 4.01e+01    -  5.15e-01 4.91e-01h  1
+  37  1.8169279e+06 1.42e-02 2.40e+01  -1.0 2.52e+01    -  7.38e-01 7.19e-01h  1
+  38  1.8179088e+06 2.86e-03 7.37e+00  -1.0 7.66e+00    -  9.90e-01 1.00e+00h  1
+  39  1.8178813e+06 1.03e-03 4.86e-03  -1.0 6.03e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.8095061e+06 9.24e-03 7.34e+01  -2.5 9.21e+01    -  4.17e-01 3.88e-01f  1
+  41  1.8076710e+06 8.11e-03 1.13e+02  -2.5 7.89e+01    -  1.49e-01 1.16e-01f  1
+  42  1.8048356e+06 6.41e-03 4.54e+01  -2.5 6.92e+01    -  1.26e-01 2.02e-01f  1
+  43  1.8027160e+06 5.22e-03 1.21e+02  -2.5 5.59e+01    -  2.85e-01 1.70e-01f  1
+  44  1.8010781e+06 5.40e-03 1.05e+02  -2.5 5.12e+01    -  1.46e-01 1.44e-01f  1
+  45  1.7990457e+06 9.61e-03 4.39e+01  -2.5 4.67e+01    -  1.38e-01 2.00e-01f  1
+  46  1.7983893e+06 9.81e-03 5.44e+01  -2.5 5.27e+01    -  1.05e-01 7.92e-02f  1
+  47  1.7974563e+06 1.04e-02 1.04e+02  -2.5 4.60e+01    -  2.25e-01 1.13e-01f  1
+  48  1.7958729e+06 1.45e-02 3.66e+01  -2.5 4.90e+01    -  9.37e-02 2.11e-01f  1
+  49  1.7949372e+06 1.45e-02 7.49e+01  -2.5 4.02e+01    -  2.73e-01 1.48e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.7942080e+06 1.40e-02 9.54e+01  -2.5 3.48e+01    -  2.40e-01 1.27e-01f  1
+  51  1.7931178e+06 1.49e-02 1.44e+02  -2.5 3.64e+01    -  3.44e-01 2.19e-01f  1
+  52  1.7923542e+06 1.45e-02 1.57e+02  -2.5 3.69e+01    -  4.04e-01 1.76e-01f  1
+  53  1.7915112e+06 1.28e-02 1.89e+02  -2.5 2.02e+01    -  3.87e-01 2.29e-01f  1
+  54  1.7904752e+06 7.96e-03 6.07e+01  -2.5 9.44e+00    -  1.80e-01 3.66e-01f  1
+  55  1.7901226e+06 6.28e-03 1.03e+02  -2.5 4.04e+00    -  4.23e-01 2.02e-01f  1
+  56  1.7898380e+06 4.95e-03 9.83e+01  -2.5 3.49e+00    -  4.70e-01 2.04e-01h  1
+  57  1.7891537e+06 2.01e-03 3.19e+01  -2.5 2.19e+00    -  8.32e-01 6.31e-01f  1
+  58  1.7887828e+06 5.98e-04 6.98e-03  -2.5 1.19e+00    -  1.00e+00 1.00e+00h  1
+  59  1.7887935e+06 5.46e-05 1.64e-03  -2.5 1.80e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7885230e+06 2.61e-04 1.65e+01  -3.8 3.32e+00    -  3.64e-01 2.02e-01f  1
+  61  1.7883616e+06 3.77e-04 1.77e+01  -3.8 4.33e+00    -  2.12e-01 1.56e-01f  1
+  62  1.7882365e+06 4.41e-04 3.24e+01  -3.8 3.79e+00    -  4.69e-01 1.52e-01f  1
+  63  1.7880957e+06 5.53e-04 2.86e+01  -3.8 3.14e+00    -  3.03e-01 2.10e-01f  1
+  64  1.7880218e+06 5.47e-04 2.63e+01  -3.8 2.49e+00    -  2.32e-01 1.49e-01f  1
+  65  1.7879312e+06 5.57e-04 2.38e+01  -3.8 2.09e+00    -  4.12e-01 2.25e-01h  1
+  66  1.7878683e+06 5.06e-04 2.15e+01  -3.8 1.80e+00    -  4.97e-01 2.21e-01h  1
+  67  1.7877995e+06 4.34e-04 1.54e+01  -3.8 1.14e+00    -  5.21e-01 3.33e-01h  1
+  68  1.7877480e+06 3.31e-04 9.52e+00  -3.8 9.62e-01    -  4.80e-01 3.98e-01h  1
+  69  1.7877099e+06 1.77e-04 4.45e+00  -3.8 6.56e-01    -  6.24e-01 5.44e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.7876845e+06 6.75e-05 1.17e+00  -3.8 4.10e-01    -  1.00e+00 8.28e-01h  1
+  71  1.7876797e+06 4.35e-06 4.08e-05  -3.8 9.05e-02    -  1.00e+00 1.00e+00h  1
+  72  1.7876560e+06 1.54e-04 9.79e-01  -5.7 6.21e-01    -  4.47e-01 5.35e-01f  1
+  73  1.7876467e+06 1.44e-04 3.83e-01  -5.7 4.64e-01    -  4.87e-01 4.54e-01h  1
+  74  1.7876405e+06 1.14e-04 2.40e-01  -5.7 3.17e-01    -  5.28e-01 5.54e-01h  1
+  75  1.7876393e+06 9.02e-05 6.91e-01  -5.7 1.20e-01    -  6.95e-01 2.38e-01h  1
+  76  1.7876371e+06 5.60e-05 6.10e-01  -5.7 1.18e-01    -  1.00e+00 5.65e-01h  1
+  77  1.7876357e+06 2.07e-05 1.75e-01  -5.7 7.06e-02    -  1.00e+00 8.30e-01h  1
+  78  1.7876355e+06 5.74e-07 4.52e-06  -5.7 1.34e-02    -  1.00e+00 1.00e+00f  1
+  79  1.7876355e+06 6.11e-09 5.48e-08  -5.7 9.93e-04    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.7876350e+06 5.65e-07 2.27e-02  -7.0 1.44e-02    -  7.29e-01 7.91e-01f  1
+  81  1.7876349e+06 3.51e-07 2.90e-02  -7.0 5.61e-03    -  8.00e-01 1.00e+00h  1
+  82  1.7876349e+06 5.85e-08 2.65e-07  -7.0 1.29e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9827361756299466e+04    1.7876349359479598e+06
+Dual infeasibility......:   2.6527840273934629e-07    2.3917500790979460e-05
+Constraint violation....:   5.8476864100986958e-08    5.8476864100986958e-08
+Variable bound violation:   5.1201696216196524e-08    5.1201696216196524e-08
+Complementarity.........:   1.2174725241815798e-07    1.0976732278021123e-05
+Overall NLP error.......:   2.6527840273934629e-07    2.3917500790979460e-05
+
+
+Number of objective function evaluations             = 83
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 83
+Number of inequality constraint evaluations          = 83
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 130.040
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-471.log b/solver_log/opf_ForkPoolWorker-471.log
new file mode 100644
index 0000000000000000000000000000000000000000..a6201b543f9298868d7d5b5352463e5f2b775333
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-471.log
@@ -0,0 +1,196 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.566
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581538
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2876317e+06 9.39e+00 5.77e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2963497e+06 9.23e+00 5.70e+01  -1.0 1.34e+01    -  6.45e-03 1.70e-02f  1
+   2  1.3023974e+06 9.06e+00 5.66e+01  -1.0 1.06e+01    -  6.36e-03 1.82e-02h  1
+   3  1.3092632e+06 8.86e+00 5.58e+01  -1.0 1.01e+01    -  1.53e-02 2.23e-02h  1
+   4  1.3218039e+06 8.51e+00 5.43e+01  -1.0 1.28e+01    -  3.00e-02 3.92e-02h  1
+   5  1.3354665e+06 8.17e+00 5.01e+01  -1.0 1.98e+01    -  6.75e-02 4.01e-02h  1
+   6  1.3582711e+06 7.65e+00 4.57e+01  -1.0 2.62e+01    -  8.13e-02 6.47e-02h  1
+   7  1.3934021e+06 6.88e+00 4.14e+01  -1.0 3.56e+01    -  9.57e-02 1.01e-01h  1
+   8  1.4292723e+06 6.14e+00 3.74e+01  -1.0 4.83e+01    -  9.85e-02 1.08e-01h  1
+   9  1.4671872e+06 5.41e+00 3.35e+01  -1.0 5.85e+01    -  1.08e-01 1.20e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5078155e+06 4.64e+00 3.08e+01  -1.0 6.76e+01    -  8.91e-02 1.43e-01h  1
+  11  1.5406579e+06 4.02e+00 2.80e+01  -1.0 8.07e+01    -  9.65e-02 1.34e-01h  1
+  12  1.5637388e+06 3.58e+00 2.51e+01  -1.0 9.16e+01    -  1.04e-01 1.11e-01h  1
+  13  1.5900010e+06 3.06e+00 2.28e+01  -1.0 1.03e+02    -  9.92e-02 1.45e-01h  1
+  14  1.6105107e+06 2.63e+00 2.09e+01  -1.0 1.24e+02    -  9.27e-02 1.41e-01h  1
+  15  1.6297323e+06 2.18e+00 1.76e+01  -1.0 1.46e+02    -  1.59e-01 1.72e-01h  1
+  16  1.6381254e+06 1.94e+00 1.59e+01  -1.0 1.74e+02    -  1.01e-01 1.09e-01h  1
+  17  1.6417874e+06 1.82e+00 1.37e+01  -1.0 1.98e+02    -  1.24e-01 6.26e-02h  1
+  18  1.6528737e+06 1.41e+00 1.34e+01  -1.0 2.16e+02    -  6.24e-02 2.26e-01h  1
+  19  1.6545500e+06 1.22e+00 1.08e+01  -1.0 2.64e+02    -  1.82e-01 1.35e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6540032e+06 1.09e+00 8.73e+00  -1.0 3.05e+02    -  1.78e-01 1.07e-01h  1
+  21  1.6504936e+06 8.65e-01 8.14e+00  -1.0 3.42e+02    -  9.52e-02 2.05e-01f  1
+  22  1.6471952e+06 7.72e-01 7.84e+00  -1.0 3.76e+02    -  1.01e-01 1.08e-01f  1
+  23  1.6444542e+06 7.19e-01 6.42e+00  -1.0 4.06e+02    -  1.13e-01 6.80e-02f  1
+  24  1.6376826e+06 6.00e-01 6.08e+00  -1.0 4.14e+02    -  1.31e-01 1.66e-01f  1
+  25  1.6347156e+06 5.55e-01 7.84e+00  -1.0 4.39e+02    -  1.69e-01 7.54e-02f  1
+  26  1.6275848e+06 4.58e-01 1.44e+01  -1.0 4.49e+02    -  3.87e-02 1.75e-01f  1
+  27  1.6237694e+06 4.12e-01 6.79e+00  -1.0 4.33e+02    -  2.07e-01 9.90e-02f  1
+  28  1.6220640e+06 3.91e-01 2.47e+01  -1.0 4.21e+02    -  1.42e-01 5.08e-02f  1
+  29  1.6176099e+06 3.35e-01 3.34e+01  -1.0 4.17e+02    -  2.04e-01 1.44e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6116779e+06 2.60e-01 6.63e+01  -1.0 3.82e+02    -  3.99e-01 2.26e-01f  1
+  31  1.6099583e+06 2.25e-01 1.09e+02  -1.0 2.42e+02    -  3.16e-01 1.35e-01f  1
+  32  1.6088330e+06 1.86e-01 2.31e+02  -1.0 1.82e+02    -  6.26e-01 1.71e-01h  1
+  33  1.6089325e+06 1.35e-01 4.05e+02  -1.0 1.07e+02    -  9.90e-01 2.74e-01h  1
+  34  1.6102077e+06 6.12e-02 3.21e+02  -1.0 7.47e+01    -  9.49e-01 5.59e-01h  1
+  35  1.6119273e+06 1.67e-02 1.18e+00  -1.0 3.67e+01    -  1.00e+00 1.00e+00h  1
+  36  1.6120742e+06 5.31e-04 1.18e-01  -1.0 4.93e+00    -  1.00e+00 1.00e+00h  1
+  37  1.6034331e+06 1.92e-02 3.95e+01  -2.5 9.05e+01    -  3.82e-01 3.97e-01f  1
+  38  1.6009782e+06 1.78e-02 6.91e+01  -2.5 6.88e+01    -  2.21e-01 1.55e-01f  1
+  39  1.5969832e+06 1.35e-02 6.63e+00  -2.5 6.52e+01    -  2.33e-01 2.72e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.5963389e+06 1.28e-02 2.33e+02  -2.5 4.66e+01    -  3.07e-01 5.58e-02f  1
+  41  1.5922914e+06 8.43e-03 2.87e+01  -2.5 4.47e+01    -  5.40e-02 3.42e-01f  1
+  42  1.5919464e+06 8.07e-03 1.05e+02  -2.5 2.47e+01    -  2.69e-01 4.28e-02f  1
+  43  1.5910061e+06 7.14e-03 1.63e+02  -2.5 2.24e+01    -  2.80e-01 1.16e-01f  1
+  44  1.5890603e+06 5.31e-03 9.29e+01  -2.5 2.20e+01    -  1.64e-01 2.56e-01f  1
+  45  1.5881134e+06 4.50e-03 1.12e+02  -2.5 1.94e+01    -  2.90e-01 1.62e-01f  1
+  46  1.5869656e+06 4.18e-03 8.13e+01  -2.5 1.71e+01    -  1.91e-01 2.20e-01f  1
+  47  1.5865941e+06 3.87e-03 9.96e+01  -2.5 1.36e+01    -  2.41e-01 9.08e-02f  1
+  48  1.5857790e+06 3.41e-03 1.00e+02  -2.5 1.42e+01    -  3.72e-01 2.13e-01f  1
+  49  1.5853779e+06 2.97e-03 1.07e+02  -2.5 1.14e+01    -  3.41e-01 1.38e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.5845358e+06 3.19e-03 6.83e+01  -2.5 9.84e+00    -  2.94e-01 3.33e-01f  1
+  51  1.5839142e+06 2.90e-03 5.44e+01  -2.5 6.62e+00    -  5.56e-01 3.60e-01f  1
+  52  1.5833314e+06 2.32e-03 8.60e+01  -2.5 2.62e+00    -  2.71e-01 5.48e-01h  1
+  53  1.5831112e+06 1.36e-03 5.26e+01  -2.5 1.35e+00    -  8.82e-01 4.67e-01h  1
+  54  1.5828746e+06 5.14e-04 7.03e-03  -2.5 1.01e+00    -  1.00e+00 1.00e+00h  1
+  55  1.5828766e+06 1.96e-05 1.85e-04  -2.5 1.14e-01    -  1.00e+00 1.00e+00h  1
+  56  1.5825648e+06 5.25e-04 9.54e+00  -3.8 4.20e+00    -  3.38e-01 2.45e-01f  1
+  57  1.5823503e+06 9.39e-04 8.66e+00  -3.8 3.64e+00    -  2.37e-01 2.20e-01f  1
+  58  1.5822959e+06 9.14e-04 2.70e+01  -3.8 2.62e+00    -  3.93e-01 7.36e-02f  1
+  59  1.5821671e+06 9.91e-04 2.11e+01  -3.8 3.24e+00    -  1.76e-01 1.94e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.5820515e+06 9.67e-04 2.50e+01  -3.8 3.44e+00    -  5.11e-01 2.32e-01f  1
+  61  1.5819526e+06 8.72e-04 1.86e+01  -3.8 3.41e+00    -  3.04e-01 2.77e-01h  1
+  62  1.5818890e+06 7.60e-04 1.58e+01  -3.8 2.96e+00    -  4.55e-01 2.65e-01h  1
+  63  1.5818525e+06 6.44e-04 1.64e+01  -3.8 2.54e+00    -  8.53e-01 2.21e-01h  1
+  64  1.5818003e+06 6.22e-04 9.60e+00  -3.8 2.22e+00    -  5.44e-01 4.23e-01h  1
+  65  1.5817758e+06 4.55e-04 9.69e+00  -3.8 1.34e+00    -  8.71e-01 3.73e-01h  1
+  66  1.5817518e+06 2.44e-04 3.79e+00  -3.8 8.53e-01    -  1.00e+00 6.28e-01h  1
+  67  1.5817383e+06 3.01e-05 2.81e-04  -3.8 2.78e-01    -  1.00e+00 1.00e+00h  1
+  68  1.5817384e+06 4.60e-07 2.95e-06  -3.8 1.53e-02    -  1.00e+00 1.00e+00h  1
+  69  1.5817220e+06 3.85e-05 2.63e-01  -5.7 8.90e-01    -  3.39e-01 3.59e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.5817126e+06 3.79e-05 7.54e-01  -5.7 4.13e-01    -  4.27e-01 3.26e-01h  1
+  71  1.5817048e+06 3.42e-05 3.05e-01  -5.7 3.22e-01    -  3.71e-01 4.00e-01h  1
+  72  1.5816982e+06 2.53e-05 1.12e-01  -5.7 2.22e-01    -  5.62e-01 5.69e-01h  1
+  73  1.5816953e+06 1.51e-05 7.29e-01  -5.7 1.20e-01    -  7.30e-01 5.75e-01h  1
+  74  1.5816939e+06 9.74e-06 9.00e-01  -5.7 6.31e-02    -  1.00e+00 6.87e-01h  1
+  75  1.5816932e+06 2.65e-06 3.04e-05  -5.7 3.27e-02    -  1.00e+00 1.00e+00h  1
+  76  1.5816932e+06 3.69e-08 1.26e-07  -5.7 4.53e-03    -  1.00e+00 1.00e+00h  1
+  77  1.5816928e+06 7.92e-07 5.44e-02  -7.0 2.12e-02    -  8.42e-01 7.88e-01h  1
+  78  1.5816927e+06 4.18e-07 8.80e-02  -7.0 1.18e-02    -  1.00e+00 6.58e-01h  1
+  79  1.5816927e+06 1.23e-07 5.50e-07  -7.0 7.05e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 79
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7543175218183496e+04    1.5816926776714241e+06
+Dual infeasibility......:   5.4986175051467413e-07    4.9575535426403015e-05
+Constraint violation....:   1.2285638653630748e-07    1.2285638653630748e-07
+Variable bound violation:   5.0766826298342949e-08    5.0766826298342949e-08
+Complementarity.........:   1.2022453994135121e-07    1.0839444521112225e-05
+Overall NLP error.......:   5.4986175051467413e-07    4.9575535426403015e-05
+
+
+Number of objective function evaluations             = 80
+Number of objective gradient evaluations             = 80
+Number of equality constraint evaluations            = 80
+Number of inequality constraint evaluations          = 80
+Number of equality constraint Jacobian evaluations   = 80
+Number of inequality constraint Jacobian evaluations = 80
+Number of Lagrangian Hessian evaluations             = 79
+Total seconds in IPOPT                               = 163.026
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-4743.log b/solver_log/opf_ForkPoolWorker-4743.log
new file mode 100644
index 0000000000000000000000000000000000000000..9b27a3c7df158d7aaff5d25eb42d87cec9f4e9b6
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-4743.log
@@ -0,0 +1,201 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.989
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581538
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3463077e+06 8.86e+00 5.84e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3547585e+06 8.77e+00 5.77e+01  -1.0 1.50e+01    -  5.03e-03 1.10e-02f  1
+   2  1.3635232e+06 8.62e+00 5.71e+01  -1.0 1.18e+01    -  5.11e-03 1.64e-02f  1
+   3  1.3724941e+06 8.46e+00 5.65e+01  -1.0 1.09e+01    -  1.00e-02 1.92e-02h  1
+   4  1.3865644e+06 8.20e+00 5.52e+01  -1.0 1.23e+01    -  2.38e-02 3.02e-02h  1
+   5  1.3998298e+06 7.98e+00 5.25e+01  -1.0 1.88e+01    -  4.65e-02 2.71e-02h  1
+   6  1.4262617e+06 7.57e+00 4.92e+01  -1.0 2.44e+01    -  6.14e-02 5.12e-02h  1
+   7  1.4676368e+06 6.98e+00 4.36e+01  -1.0 3.46e+01    -  1.09e-01 7.87e-02h  1
+   8  1.5164154e+06 6.33e+00 3.88e+01  -1.0 4.93e+01    -  1.09e-01 9.33e-02h  1
+   9  1.5664612e+06 5.72e+00 3.70e+01  -1.0 6.42e+01    -  4.83e-02 9.78e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.6188406e+06 5.09e+00 3.50e+01  -1.0 7.69e+01    -  5.81e-02 1.09e-01h  1
+  11  1.6522424e+06 4.71e+00 3.12e+01  -1.0 8.83e+01    -  1.08e-01 7.56e-02h  1
+  12  1.7075588e+06 4.09e+00 2.91e+01  -1.0 9.50e+01    -  7.13e-02 1.32e-01h  1
+  13  1.7500368e+06 3.61e+00 2.55e+01  -1.0 1.04e+02    -  1.21e-01 1.17e-01h  1
+  14  1.7879430e+06 3.18e+00 2.31e+01  -1.0 1.09e+02    -  9.78e-02 1.19e-01h  1
+  15  1.8293288e+06 2.71e+00 2.08e+01  -1.0 1.17e+02    -  1.05e-01 1.51e-01h  1
+  16  1.8581309e+06 2.36e+00 1.76e+01  -1.0 1.38e+02    -  1.51e-01 1.29e-01h  1
+  17  1.8865869e+06 2.00e+00 1.59e+01  -1.0 1.63e+02    -  1.05e-01 1.53e-01h  1
+  18  1.9001159e+06 1.81e+00 1.43e+01  -1.0 1.97e+02    -  9.97e-02 9.27e-02h  1
+  19  1.9188776e+06 1.53e+00 1.19e+01  -1.0 2.21e+02    -  1.63e-01 1.55e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.9390394e+06 1.17e+00 1.10e+01  -1.0 2.63e+02    -  1.22e-01 2.39e-01h  1
+  21  1.9439107e+06 1.02e+00 9.95e+00  -1.0 3.18e+02    -  1.03e-01 1.24e-01h  1
+  22  1.9451070e+06 9.68e-01 2.04e+01  -1.0 3.42e+02    -  1.52e-01 5.24e-02h  1
+  23  1.9478439e+06 7.70e-01 5.53e+01  -1.0 3.61e+02    -  1.02e-01 2.05e-01h  1
+  24  1.9475618e+06 7.11e-01 2.05e+01  -1.0 3.90e+02    -  2.01e-01 7.60e-02h  1
+  25  1.9458392e+06 5.70e-01 1.22e+01  -1.0 4.05e+02    -  1.55e-01 1.98e-01h  1
+  26  1.9439612e+06 5.06e-01 2.27e+01  -1.0 4.17e+02    -  1.75e-01 1.12e-01f  1
+  27  1.9411329e+06 4.31e-01 3.66e+01  -1.0 4.22e+02    -  1.90e-01 1.50e-01f  1
+  28  1.9372454e+06 3.46e-01 1.32e+01  -1.0 3.98e+02    -  1.21e-01 1.97e-01f  1
+  29  1.9359664e+06 3.11e-01 1.37e+01  -1.0 3.20e+02    -  5.27e-02 1.02e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.9357573e+06 2.99e-01 4.79e+01  -1.0 2.43e+02    -  2.03e-01 3.74e-02h  1
+  31  1.9357794e+06 2.46e-01 5.00e+01  -1.0 1.94e+02    -  1.93e-01 1.78e-01h  1
+  32  1.9364514e+06 2.09e-01 2.47e+01  -1.0 1.67e+02    -  1.19e-01 1.54e-01h  1
+  33  1.9375061e+06 1.61e-01 3.96e+01  -1.0 1.84e+02    -  8.77e-02 2.30e-01h  1
+  34  1.9378341e+06 1.50e-01 1.20e+01  -1.0 1.51e+02    -  1.60e-01 6.59e-02h  1
+  35  1.9386286e+06 1.31e-01 1.13e+01  -1.0 9.32e+01    -  1.11e-01 1.28e-01h  1
+  36  1.9393086e+06 1.03e-01 1.31e+02  -1.0 1.05e+02    -  5.19e-01 2.23e-01h  1
+  37  1.9408421e+06 7.84e-02 2.36e+02  -1.0 1.12e+02    -  5.11e-01 2.37e-01h  1
+  38  1.9438027e+06 4.00e-02 2.14e+02  -1.0 1.05e+02    -  6.69e-01 4.91e-01h  1
+  39  1.9474794e+06 1.04e-02 2.16e+01  -1.0 2.14e+01    -  9.13e-01 9.60e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.9477646e+06 1.09e-03 6.85e+00  -1.0 7.36e+00    -  9.91e-01 1.00e+00h  1
+  41  1.9477605e+06 3.25e-05 1.39e-04  -1.0 3.71e-01    -  1.00e+00 1.00e+00h  1
+  42  1.9394497e+06 7.29e-03 6.68e+01  -2.5 9.16e+01    -  3.62e-01 3.88e-01f  1
+  43  1.9374376e+06 7.89e-03 6.70e+01  -2.5 7.42e+01    -  2.12e-01 1.34e-01f  1
+  44  1.9337718e+06 8.58e-03 1.57e+02  -2.5 6.19e+01    -  1.15e-01 2.79e-01f  1
+  45  1.9320196e+06 8.10e-03 8.64e+01  -2.5 4.59e+01    -  2.02e-01 1.61e-01f  1
+  46  1.9294314e+06 8.12e-03 1.25e+02  -2.5 4.15e+01    -  1.83e-01 2.52e-01f  1
+  47  1.9284898e+06 7.44e-03 5.60e+01  -2.5 2.90e+01    -  2.00e-01 1.17e-01f  1
+  48  1.9276880e+06 6.80e-03 5.00e+01  -2.5 2.76e+01    -  1.22e-01 1.09e-01f  1
+  49  1.9258994e+06 7.06e-03 1.01e+02  -2.5 2.83e+01    -  1.03e-01 2.50e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.9251475e+06 6.81e-03 4.84e+01  -2.5 2.42e+01    -  2.21e-01 1.31e-01f  1
+  51  1.9236078e+06 6.76e-03 7.23e+01  -2.5 1.92e+01    -  2.34e-01 3.12e-01f  1
+  52  1.9225387e+06 6.55e-03 6.62e+01  -2.5 1.73e+01    -  2.52e-01 2.75e-01f  1
+  53  1.9220529e+06 5.67e-03 6.19e+01  -2.5 1.53e+01    -  3.37e-01 1.53e-01f  1
+  54  1.9212340e+06 4.30e-03 4.40e+01  -2.5 1.19e+01    -  3.25e-01 2.87e-01f  1
+  55  1.9204857e+06 3.65e-03 2.90e+01  -2.5 6.31e+00    -  4.68e-01 3.43e-01f  1
+  56  1.9198694e+06 3.87e-03 7.01e+01  -2.5 4.56e+00    -  2.21e-01 4.31e-01f  1
+  57  1.9194887e+06 2.90e-03 3.92e+01  -2.5 3.46e+00    -  5.02e-01 4.49e-01h  1
+  58  1.9190684e+06 1.47e-03 2.98e+00  -2.5 2.19e+00    -  1.00e+00 9.06e-01h  1
+  59  1.9190365e+06 1.27e-04 3.65e-03  -2.5 4.17e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.9188505e+06 1.52e-04 1.84e+01  -3.8 5.46e+00    -  3.22e-01 1.40e-01f  1
+  61  1.9186864e+06 2.74e-04 2.75e+01  -3.8 4.63e+00    -  3.23e-01 1.54e-01f  1
+  62  1.9184706e+06 6.35e-04 2.66e+01  -3.8 3.37e+00    -  3.60e-01 2.46e-01f  1
+  63  1.9183485e+06 7.57e-04 2.62e+01  -3.8 2.81e+00    -  3.28e-01 1.93e-01f  1
+  64  1.9182414e+06 6.55e-04 2.50e+01  -3.8 2.45e+00    -  4.06e-01 2.20e-01f  1
+  65  1.9181884e+06 5.79e-04 2.44e+01  -3.8 2.31e+00    -  3.51e-01 1.47e-01h  1
+  66  1.9181103e+06 5.34e-04 2.18e+01  -3.8 1.97e+00    -  6.48e-01 2.66e-01h  1
+  67  1.9180400e+06 4.67e-04 1.43e+01  -3.8 1.47e+00    -  3.95e-01 3.50e-01h  1
+  68  1.9179946e+06 4.03e-04 1.04e+01  -3.8 9.64e-01    -  1.00e+00 3.69e-01h  1
+  69  1.9179792e+06 3.34e-04 8.19e+00  -3.8 6.07e-01    -  8.91e-01 2.17e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.9179447e+06 2.17e-04 2.81e+00  -3.8 4.51e-01    -  7.44e-01 6.57e-01h  1
+  71  1.9179276e+06 2.84e-05 3.34e-04  -3.8 1.55e-01    -  1.00e+00 1.00e+00h  1
+  72  1.9179278e+06 1.96e-06 7.30e-05  -3.8 3.27e-02    -  1.00e+00 1.00e+00h  1
+  73  1.9179077e+06 7.60e-05 4.18e-02  -5.7 4.09e-01    -  4.48e-01 4.42e-01f  1
+  74  1.9178967e+06 6.05e-05 7.84e-01  -5.7 2.94e-01    -  5.68e-01 4.41e-01h  1
+  75  1.9178938e+06 4.91e-05 1.59e+00  -5.7 2.10e-01    -  6.23e-01 2.07e-01h  1
+  76  1.9178879e+06 2.89e-05 8.06e-01  -5.7 1.84e-01    -  6.51e-01 5.32e-01h  1
+  77  1.9178850e+06 2.28e-05 1.09e+00  -5.7 9.51e-02    -  1.00e+00 5.82e-01h  1
+  78  1.9178835e+06 1.22e-05 4.71e-01  -5.7 4.22e-02    -  1.00e+00 7.18e-01h  1
+  79  1.9178829e+06 1.35e-06 1.62e-05  -5.7 1.51e-02    -  1.00e+00 1.00e+00f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.9178829e+06 5.97e-09 4.25e-08  -5.7 1.27e-03    -  1.00e+00 1.00e+00h  1
+  81  1.9178825e+06 5.10e-07 1.79e-02  -7.0 1.30e-02    -  8.24e-01 7.82e-01f  1
+  82  1.9178824e+06 2.49e-07 1.73e-06  -7.0 5.78e-03    -  1.00e+00 1.00e+00h  1
+  83  1.9178824e+06 2.41e-08 1.15e-07  -7.0 1.54e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 83
+
+                                   (scaled)                 (unscaled)
+Objective...............:   2.1271987134849569e+04    1.9178823600780373e+06
+Dual infeasibility......:   1.1544587063139227e-07    1.0408599696126328e-05
+Constraint violation....:   2.4127617750946406e-08    2.4127617750946406e-08
+Variable bound violation:   5.3385774023695376e-08    5.3385774023695376e-08
+Complementarity.........:   1.1081453856596960e-07    9.9910387971078194e-06
+Overall NLP error.......:   1.1544587063139227e-07    1.0408599696126328e-05
+
+
+Number of objective function evaluations             = 84
+Number of objective gradient evaluations             = 84
+Number of equality constraint evaluations            = 84
+Number of inequality constraint evaluations          = 84
+Number of equality constraint Jacobian evaluations   = 84
+Number of inequality constraint Jacobian evaluations = 84
+Number of Lagrangian Hessian evaluations             = 83
+Total seconds in IPOPT                               = 95.698
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-5109.log b/solver_log/opf_ForkPoolWorker-5109.log
new file mode 100644
index 0000000000000000000000000000000000000000..0855b987c4cedf76ebc230124b938c015b5ebb8a
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-5109.log
@@ -0,0 +1,182 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.244
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581541
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2998256e+06 8.36e+00 1.06e+02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3107022e+06 8.21e+00 1.04e+02  -1.0 2.57e+01    -  1.45e-02 1.69e-02f  1
+   2  1.3127543e+06 8.03e+00 1.03e+02  -1.0 2.33e+01    -  4.70e-03 2.30e-02f  1
+   3  1.3154288e+06 7.69e+00 1.01e+02  -1.0 4.81e+01    -  1.77e-02 4.15e-02h  1
+   4  1.3241514e+06 7.20e+00 9.66e+01  -1.0 1.04e+02    -  4.29e-02 6.51e-02h  1
+   5  1.3418227e+06 6.62e+00 9.13e+01  -1.0 1.89e+02    -  5.02e-02 8.00e-02h  1
+   6  1.3718828e+06 5.90e+00 8.45e+01  -1.0 2.54e+02    -  6.68e-02 1.10e-01h  1
+   7  1.4090403e+06 5.19e+00 7.73e+01  -1.0 2.99e+02    -  7.92e-02 1.20e-01h  1
+   8  1.4495186e+06 4.53e+00 7.25e+01  -1.0 3.16e+02    -  4.97e-02 1.28e-01h  1
+   9  1.4982152e+06 3.80e+00 6.30e+01  -1.0 3.12e+02    -  1.25e-01 1.61e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5502438e+06 3.09e+00 5.39e+01  -1.0 3.13e+02    -  1.36e-01 1.88e-01h  1
+  11  1.5988949e+06 2.46e+00 4.41e+01  -1.0 3.12e+02    -  1.79e-01 2.03e-01h  1
+  12  1.6493151e+06 1.84e+00 3.61e+01  -1.0 3.07e+02    -  1.68e-01 2.54e-01h  1
+  13  1.6887019e+06 1.36e+00 2.84e+01  -1.0 2.87e+02    -  2.05e-01 2.61e-01h  1
+  14  1.7243991e+06 9.21e-01 1.85e+01  -1.0 2.70e+02    -  3.53e-01 3.22e-01h  1
+  15  1.7316755e+06 8.28e-01 1.41e+01  -1.0 2.36e+02    -  2.64e-01 1.01e-01h  1
+  16  1.7557565e+06 5.31e-01 2.39e+01  -1.0 1.92e+02    -  3.83e-01 3.58e-01h  1
+  17  1.7722654e+06 3.27e-01 8.46e+01  -1.0 1.37e+02    -  5.15e-01 3.83e-01h  1
+  18  1.7840711e+06 1.88e-01 5.03e+01  -1.0 1.02e+02    -  4.33e-01 4.28e-01h  1
+  19  1.7921615e+06 9.81e-02 1.52e+02  -1.0 6.99e+01    -  9.10e-01 4.94e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7963506e+06 5.57e-02 2.44e+02  -1.0 3.26e+01    -  7.85e-01 4.73e-01h  1
+  21  1.8012912e+06 2.45e-02 6.40e+00  -1.0 2.71e+01    -  9.90e-01 1.00e+00h  1
+  22  1.8013288e+06 3.73e-03 1.74e-01  -1.0 6.99e+00    -  1.00e+00 1.00e+00h  1
+  23  1.7930430e+06 7.33e-03 4.38e+02  -1.7 6.72e+01    -  6.60e-01 4.50e-01f  1
+  24  1.7898428e+06 5.23e-03 2.81e+02  -1.7 4.32e+01    -  1.95e-01 2.58e-01f  1
+  25  1.7870589e+06 4.51e-03 2.43e+02  -1.7 3.27e+01    -  3.62e-01 2.87e-01f  1
+  26  1.7854381e+06 3.94e-03 1.77e+02  -1.7 1.76e+01    -  2.33e-01 2.49e-01f  1
+  27  1.7822247e+06 6.14e-03 2.68e+01  -1.7 1.08e+01    -  4.81e-01 6.27e-01f  1
+  28  1.7806630e+06 6.56e-03 7.71e+00  -1.7 7.96e+00    -  6.72e-01 7.20e-01f  1
+  29  1.7800472e+06 7.64e-04 5.31e+01  -1.7 1.47e+00    -  5.69e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.7799720e+06 7.46e-05 1.37e-02  -1.7 7.57e-01    -  1.00e+00 1.00e+00h  1
+  31  1.7784916e+06 1.56e-03 1.24e+01  -3.8 1.78e+01    -  1.89e-01 2.14e-01f  1
+  32  1.7777658e+06 1.82e-03 1.25e+01  -3.8 9.38e+00    -  1.20e-01 1.24e-01f  1
+  33  1.7771019e+06 2.08e-03 3.01e+01  -3.8 1.02e+01    -  2.33e-01 1.22e-01f  1
+  34  1.7762866e+06 2.41e-03 8.78e+01  -3.8 8.98e+00    -  2.53e-01 1.70e-01f  1
+  35  1.7757134e+06 2.40e-03 8.34e+01  -3.8 8.33e+00    -  1.57e-01 1.29e-01f  1
+  36  1.7751639e+06 2.43e-03 7.00e+01  -3.8 7.37e+00    -  1.06e-01 1.38e-01f  1
+  37  1.7742829e+06 3.95e-03 5.53e+01  -3.8 6.58e+00    -  1.71e-01 2.61e-01f  1
+  38  1.7740464e+06 3.79e-03 5.09e+01  -3.8 4.87e+00    -  6.16e-02 8.57e-02f  1
+  39  1.7739063e+06 3.65e-03 4.68e+01  -3.8 5.35e+00    -  2.32e-01 5.38e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.7734173e+06 3.75e-03 3.77e+01  -3.8 5.70e+00    -  2.27e-01 1.92e-01f  1
+  41  1.7730515e+06 3.66e-03 4.18e+01  -3.8 5.73e+00    -  3.10e-01 1.76e-01f  1
+  42  1.7727213e+06 3.44e-03 4.92e+01  -3.8 7.24e+00    -  3.80e-01 1.90e-01f  1
+  43  1.7723584e+06 3.69e-03 3.09e+01  -3.8 8.38e+00    -  1.61e-01 2.63e-01f  1
+  44  1.7722960e+06 3.50e-03 4.63e+01  -3.8 7.62e+00    -  4.49e-01 6.50e-02h  1
+  45  1.7721697e+06 3.18e-03 4.32e+01  -3.8 7.14e+00    -  3.03e-01 1.51e-01h  1
+  46  1.7720784e+06 2.86e-03 4.13e+01  -3.8 5.77e+00    -  3.62e-01 1.38e-01h  1
+  47  1.7719665e+06 2.46e-03 3.64e+01  -3.8 4.32e+00    -  4.69e-01 2.08e-01h  1
+  48  1.7718537e+06 1.98e-03 2.52e+01  -3.8 2.85e+00    -  1.78e-01 2.85e-01h  1
+  49  1.7718194e+06 1.74e-03 2.54e+01  -3.8 2.03e+00    -  6.60e-01 1.32e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.7717449e+06 1.27e-03 2.10e+01  -3.8 1.96e+00    -  9.90e-01 3.43e-01h  1
+  51  1.7716985e+06 8.87e-04 1.36e+01  -3.8 1.31e+00    -  9.38e-01 3.52e-01h  1
+  52  1.7716818e+06 7.04e-04 1.02e+01  -3.8 7.63e-01    -  9.11e-01 2.16e-01h  1
+  53  1.7716447e+06 2.95e-04 4.03e+00  -3.8 5.03e-01    -  1.00e+00 6.32e-01h  1
+  54  1.7716244e+06 2.59e-05 3.18e-04  -3.8 1.54e-01    -  1.00e+00 1.00e+00h  1
+  55  1.7716246e+06 4.88e-07 6.65e-06  -3.8 1.26e-02    -  1.00e+00 1.00e+00h  1
+  56  1.7716043e+06 6.47e-05 4.77e-01  -5.7 4.62e-01    -  3.93e-01 4.40e-01f  1
+  57  1.7715967e+06 9.95e-05 3.94e-01  -5.7 4.66e-01    -  4.06e-01 3.00e-01h  1
+  58  1.7715906e+06 1.13e-04 3.85e-01  -5.7 3.88e-01    -  3.77e-01 3.44e-01h  1
+  59  1.7715868e+06 9.97e-05 1.88e+00  -5.7 2.93e-01    -  5.40e-01 3.33e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7715832e+06 7.80e-05 9.32e-01  -5.7 2.19e-01    -  4.31e-01 4.64e-01h  1
+  61  1.7715801e+06 3.89e-05 2.16e-01  -5.7 1.26e-01    -  7.54e-01 7.65e-01h  1
+  62  1.7715791e+06 4.88e-06 5.44e-02  -5.7 8.66e-02    -  9.57e-01 1.00e+00h  1
+  63  1.7715791e+06 3.13e-07 1.21e-06  -5.7 6.36e-03    -  1.00e+00 1.00e+00h  1
+  64  1.7715787e+06 6.38e-07 1.61e-02  -7.0 2.69e-02    -  8.00e-01 8.35e-01h  1
+  65  1.7715786e+06 2.50e-07 1.86e-06  -7.0 7.05e-03    -  1.00e+00 1.00e+00h  1
+  66  1.7715786e+06 3.15e-08 2.23e-07  -7.0 1.74e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 66
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9649274297996209e+04    1.7715785707073382e+06
+Dual infeasibility......:   2.2284760667090336e-07    2.0091940217448647e-05
+Constraint violation....:   3.1542292703093389e-08    3.1542292703093389e-08
+Variable bound violation:   1.0918243553703633e-07    1.0918243553703633e-07
+Complementarity.........:   1.1167643436661821e-07    1.0068747322494299e-05
+Overall NLP error.......:   2.2284760667090336e-07    2.0091940217448647e-05
+
+
+Number of objective function evaluations             = 67
+Number of objective gradient evaluations             = 67
+Number of equality constraint evaluations            = 67
+Number of inequality constraint evaluations          = 67
+Number of equality constraint Jacobian evaluations   = 67
+Number of inequality constraint Jacobian evaluations = 67
+Number of Lagrangian Hessian evaluations             = 66
+Total seconds in IPOPT                               = 58.628
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-558.log b/solver_log/opf_ForkPoolWorker-558.log
new file mode 100644
index 0000000000000000000000000000000000000000..0f261140a38e6ca4b71e3c14b247b38dfe3d7b9e
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-558.log
@@ -0,0 +1,195 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 6.672
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581543
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3466343e+06 1.08e+01 5.35e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3520375e+06 1.07e+01 5.29e+01  -1.0 1.28e+01    -  6.74e-03 1.50e-02f  1
+   2  1.3555489e+06 1.05e+01 5.26e+01  -1.0 1.07e+01    -  5.67e-03 1.43e-02f  1
+   3  1.3605360e+06 1.03e+01 5.21e+01  -1.0 1.01e+01    -  1.05e-02 2.30e-02h  1
+   4  1.3692948e+06 9.88e+00 5.07e+01  -1.0 1.18e+01    -  2.94e-02 3.66e-02h  1
+   5  1.3793395e+06 9.51e+00 4.72e+01  -1.0 1.91e+01    -  6.05e-02 3.84e-02h  1
+   6  1.3957420e+06 8.94e+00 4.31e+01  -1.0 2.62e+01    -  8.11e-02 5.98e-02h  1
+   7  1.4234600e+06 8.04e+00 3.83e+01  -1.0 3.64e+01    -  1.08e-01 1.02e-01h  1
+   8  1.4536568e+06 7.10e+00 3.32e+01  -1.0 5.17e+01    -  1.31e-01 1.18e-01h  1
+   9  1.4837104e+06 6.22e+00 2.90e+01  -1.0 6.61e+01    -  1.26e-01 1.25e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5186239e+06 5.21e+00 2.64e+01  -1.0 7.77e+01    -  1.08e-01 1.63e-01h  1
+  11  1.5397287e+06 4.58e+00 2.31e+01  -1.0 8.82e+01    -  1.23e-01 1.21e-01h  1
+  12  1.5599691e+06 3.96e+00 2.19e+01  -1.0 9.23e+01    -  7.76e-02 1.37e-01h  1
+  13  1.5775888e+06 3.38e+00 1.86e+01  -1.0 9.91e+01    -  1.50e-01 1.47e-01h  1
+  14  1.5905964e+06 2.92e+00 1.72e+01  -1.0 1.12e+02    -  9.67e-02 1.35e-01h  1
+  15  1.6004149e+06 2.53e+00 1.58e+01  -1.0 1.33e+02    -  9.79e-02 1.34e-01h  1
+  16  1.6049787e+06 2.32e+00 1.26e+01  -1.0 1.60e+02    -  1.62e-01 8.31e-02h  1
+  17  1.6115849e+06 1.99e+00 1.09e+01  -1.0 1.79e+02    -  1.42e-01 1.44e-01h  1
+  18  1.6163319e+06 1.67e+00 8.94e+00  -1.0 2.07e+02    -  1.70e-01 1.61e-01h  1
+  19  1.6177674e+06 1.29e+00 8.56e+00  -1.0 2.59e+02    -  1.19e-01 2.27e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6141821e+06 1.03e+00 6.91e+00  -1.0 3.24e+02    -  1.97e-01 2.03e-01f  1
+  21  1.6103131e+06 9.05e-01 5.11e+00  -1.0 3.86e+02    -  2.01e-01 1.19e-01f  1
+  22  1.6021878e+06 7.03e-01 1.21e+01  -1.0 4.05e+02    -  9.33e-02 2.23e-01f  1
+  23  1.6008877e+06 6.80e-01 7.81e+00  -1.0 4.22e+02    -  1.61e-01 3.28e-02f  1
+  24  1.5959627e+06 5.84e-01 1.14e+01  -1.0 4.44e+02    -  1.74e-01 1.41e-01f  1
+  25  1.5887549e+06 4.78e-01 2.04e+01  -1.0 4.58e+02    -  2.84e-02 1.82e-01f  1
+  26  1.5848123e+06 4.28e-01 4.57e+00  -1.0 4.47e+02    -  2.04e-01 1.05e-01f  1
+  27  1.5786114e+06 3.34e-01 1.48e+01  -1.0 4.47e+02    -  1.55e-01 2.19e-01f  1
+  28  1.5780877e+06 3.25e-01 8.82e+01  -1.0 3.67e+02    -  2.68e-01 2.79e-02f  1
+  29  1.5737180e+06 2.37e-01 5.25e+01  -1.0 3.34e+02    -  2.53e-01 2.72e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.5727332e+06 2.01e-01 1.29e+02  -1.0 2.23e+02    -  3.18e-01 1.50e-01h  1
+  31  1.5722306e+06 1.70e-01 1.95e+02  -1.0 1.63e+02    -  3.99e-01 1.58e-01h  1
+  32  1.5720065e+06 1.03e-01 1.64e+02  -1.0 1.31e+02    -  5.60e-01 3.97e-01h  1
+  33  1.5724351e+06 4.81e-02 2.13e+02  -1.0 6.61e+01    -  8.01e-01 5.41e-01h  1
+  34  1.5732490e+06 2.07e-02 9.79e+01  -1.0 2.80e+01    -  9.90e-01 8.80e-01h  1
+  35  1.5735073e+06 4.21e-03 8.75e-02  -1.0 5.57e+00    -  1.00e+00 1.00e+00h  1
+  36  1.5624556e+06 1.72e-02 3.96e+02  -2.5 1.14e+02    -  3.55e-01 5.16e-01f  1
+  37  1.5612688e+06 1.71e-02 1.07e+02  -2.5 7.97e+01    -  2.77e-01 9.02e-02f  1
+  38  1.5601155e+06 1.64e-02 1.35e+02  -2.5 7.78e+01    -  1.38e-01 9.09e-02f  1
+  39  1.5564011e+06 1.63e-02 2.07e+02  -2.5 7.09e+01    -  1.09e-01 3.18e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.5542617e+06 1.27e-02 1.63e+02  -2.5 5.22e+01    -  2.30e-01 2.36e-01f  1
+  41  1.5532964e+06 1.11e-02 6.58e+01  -2.5 3.96e+01    -  2.72e-01 1.24e-01f  1
+  42  1.5524685e+06 9.71e-03 5.77e+01  -2.5 3.08e+01    -  1.07e-01 1.23e-01f  1
+  43  1.5519529e+06 8.87e-03 1.33e+02  -2.5 2.49e+01    -  1.95e-01 8.65e-02f  1
+  44  1.5511155e+06 7.58e-03 1.67e+02  -2.5 2.29e+01    -  1.98e-01 1.46e-01f  1
+  45  1.5495027e+06 7.23e-03 6.59e+01  -2.5 1.90e+01    -  1.36e-01 3.10e-01f  1
+  46  1.5486887e+06 7.91e-03 1.45e+02  -2.5 1.21e+01    -  1.16e-01 2.17e-01f  1
+  47  1.5483098e+06 7.37e-03 1.32e+02  -2.5 9.26e+00    -  8.11e-02 1.16e-01f  1
+  48  1.5474045e+06 7.24e-03 9.09e+01  -2.5 8.87e+00    -  3.35e-01 3.12e-01f  1
+  49  1.5472250e+06 6.71e-03 7.45e+01  -2.5 7.15e+00    -  3.33e-01 8.84e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.5467774e+06 6.53e-03 5.52e+01  -2.5 7.81e+00    -  1.18e-01 2.35e-01f  1
+  51  1.5462739e+06 7.08e-03 3.52e+01  -2.5 9.02e+00    -  3.10e-01 3.42e-01f  1
+  52  1.5457892e+06 6.79e-03 2.40e+01  -2.5 6.42e+00    -  7.18e-01 4.77e-01h  1
+  53  1.5454616e+06 4.19e-03 3.13e+01  -2.5 3.28e+00    -  7.45e-01 5.93e-01h  1
+  54  1.5452414e+06 8.06e-04 8.04e-03  -2.5 1.53e+00    -  1.00e+00 1.00e+00h  1
+  55  1.5452441e+06 1.20e-05 2.05e-04  -2.5 1.23e-01    -  1.00e+00 1.00e+00h  1
+  56  1.5450340e+06 5.23e-04 6.18e+01  -3.8 6.86e+00    -  3.52e-01 1.70e-01f  1
+  57  1.5447950e+06 7.29e-04 6.47e+01  -3.8 5.22e+00    -  3.39e-01 2.31e-01f  1
+  58  1.5446512e+06 8.53e-04 6.22e+01  -3.8 3.57e+00    -  2.80e-01 1.81e-01f  1
+  59  1.5445871e+06 8.29e-04 6.66e+01  -3.8 2.52e+00    -  4.21e-01 1.07e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.5444503e+06 9.88e-04 4.78e+01  -3.8 3.31e+00    -  4.71e-01 2.68e-01f  1
+  61  1.5443812e+06 9.16e-04 3.93e+01  -3.8 3.59e+00    -  6.89e-01 1.93e-01h  1
+  62  1.5442924e+06 9.88e-04 2.62e+01  -3.8 3.40e+00    -  9.27e-01 3.25e-01h  1
+  63  1.5442314e+06 8.66e-04 2.85e+01  -3.8 2.66e+00    -  9.63e-01 3.58e-01h  1
+  64  1.5441930e+06 5.95e-04 2.14e+01  -3.8 1.90e+00    -  6.59e-01 3.89e-01h  1
+  65  1.5441486e+06 2.59e-04 4.72e+00  -3.8 1.22e+00    -  1.00e+00 7.66e-01h  1
+  66  1.5441367e+06 3.81e-05 1.24e-04  -3.8 2.94e-01    -  1.00e+00 1.00e+00h  1
+  67  1.5441368e+06 1.64e-07 3.35e-06  -3.8 9.87e-03    -  1.00e+00 1.00e+00h  1
+  68  1.5441209e+06 3.69e-05 2.22e+00  -5.7 1.29e+00    -  4.72e-01 3.39e-01f  1
+  69  1.5441099e+06 6.90e-05 1.38e+00  -5.7 9.22e-01    -  3.58e-01 3.62e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.5441073e+06 6.25e-05 4.38e+00  -5.7 6.21e-01    -  5.99e-01 1.36e-01h  1
+  71  1.5440965e+06 8.20e-05 1.40e+00  -5.7 5.51e-01    -  6.46e-01 6.67e-01h  1
+  72  1.5440940e+06 4.56e-05 1.14e+00  -5.7 1.95e-01    -  8.15e-01 4.75e-01h  1
+  73  1.5440922e+06 1.73e-05 5.11e-01  -5.7 1.04e-01    -  1.00e+00 6.49e-01h  1
+  74  1.5440913e+06 2.23e-06 5.82e-05  -5.7 3.78e-02    -  1.00e+00 1.00e+00h  1
+  75  1.5440913e+06 2.44e-08 2.26e-07  -5.7 2.32e-03    -  1.00e+00 1.00e+00h  1
+  76  1.5440909e+06 8.45e-07 6.81e-03  -7.0 1.87e-02    -  8.44e-01 8.32e-01h  1
+  77  1.5440908e+06 4.04e-07 6.53e-02  -7.0 6.97e-03    -  1.00e+00 7.31e-01h  1
+  78  1.5440908e+06 1.06e-07 4.13e-07  -7.0 2.98e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 78
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7126117874392803e+04    1.5440907875552552e+06
+Dual infeasibility......:   4.1250415759524098e-07    3.7191374848786929e-05
+Constraint violation....:   1.0607492778591521e-07    1.0607492778591521e-07
+Variable bound violation:   5.2212162593434641e-08    5.2212162593434641e-08
+Complementarity.........:   1.1810723664678226e-07    1.0648548456073889e-05
+Overall NLP error.......:   4.1250415759524098e-07    3.7191374848786929e-05
+
+
+Number of objective function evaluations             = 79
+Number of objective gradient evaluations             = 79
+Number of equality constraint evaluations            = 79
+Number of inequality constraint evaluations          = 79
+Number of equality constraint Jacobian evaluations   = 79
+Number of inequality constraint Jacobian evaluations = 79
+Number of Lagrangian Hessian evaluations             = 78
+Total seconds in IPOPT                               = 102.318
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-5595.log b/solver_log/opf_ForkPoolWorker-5595.log
new file mode 100644
index 0000000000000000000000000000000000000000..fb8df19cfcb849547d8e0f265e827d107fa3da74
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-5595.log
@@ -0,0 +1,179 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 11.195
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581544
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2921091e+06 9.69e+00 1.14e+02  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2998512e+06 9.54e+00 1.12e+02  -1.0 2.40e+01    -  1.65e-02 1.53e-02f  1
+   2  1.3012461e+06 9.27e+00 1.12e+02  -1.0 2.22e+01    -  4.99e-03 2.81e-02f  1
+   3  1.3030187e+06 8.90e+00 1.09e+02  -1.0 4.63e+01    -  2.08e-02 4.08e-02f  1
+   4  1.3094653e+06 8.26e+00 1.05e+02  -1.0 9.43e+01    -  4.28e-02 7.18e-02h  1
+   5  1.3248196e+06 7.50e+00 9.84e+01  -1.0 1.80e+02    -  5.97e-02 9.30e-02h  1
+   6  1.3497685e+06 6.60e+00 9.20e+01  -1.0 2.65e+02    -  6.52e-02 1.21e-01h  1
+   7  1.3820737e+06 5.71e+00 8.39e+01  -1.0 3.23e+02    -  8.77e-02 1.36e-01h  1
+   8  1.4151765e+06 4.93e+00 7.31e+01  -1.0 3.44e+02    -  1.29e-01 1.36e-01h  1
+   9  1.4550777e+06 4.09e+00 6.20e+01  -1.0 3.46e+02    -  1.51e-01 1.72e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5111896e+06 2.97e+00 5.38e+01  -1.0 3.41e+02    -  1.33e-01 2.74e-01h  1
+  11  1.5441495e+06 2.35e+00 4.14e+01  -1.0 3.16e+02    -  2.30e-01 2.09e-01h  1
+  12  1.5833464e+06 1.61e+00 3.29e+01  -1.0 3.17e+02    -  2.05e-01 3.18e-01h  1
+  13  1.6083296e+06 1.12e+00 2.08e+01  -1.0 2.92e+02    -  3.68e-01 3.01e-01h  1
+  14  1.6208915e+06 8.62e-01 3.56e+01  -1.0 2.81e+02    -  6.68e-01 2.33e-01h  1
+  15  1.6352895e+06 5.57e-01 2.65e+01  -1.0 2.35e+02    -  2.96e-01 3.55e-01h  1
+  16  1.6455189e+06 3.62e-01 1.13e+02  -1.0 1.47e+02    -  6.42e-01 3.51e-01h  1
+  17  1.6563056e+06 1.82e-01 6.25e+01  -1.0 8.62e+01    -  5.49e-01 5.00e-01h  1
+  18  1.6634775e+06 6.91e-02 1.15e+02  -1.0 6.67e+01    -  8.79e-01 6.25e-01h  1
+  19  1.6680738e+06 7.11e-03 4.50e+01  -1.0 3.43e+01    -  9.90e-01 9.36e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6685229e+06 6.70e-04 2.55e-01  -1.0 8.43e+00    -  1.00e+00 1.00e+00h  1
+  21  1.6636025e+06 4.83e-03 1.17e+02  -1.7 6.09e+01    -  2.58e-01 3.17e-01f  1
+  22  1.6577761e+06 1.70e-02 1.94e+02  -1.7 4.35e+01    -  3.75e-01 4.66e-01f  1
+  23  1.6561573e+06 1.40e-02 2.54e+01  -1.7 2.96e+01    -  3.58e-01 2.00e-01f  1
+  24  1.6536188e+06 8.58e-03 9.61e+01  -1.7 2.68e+01    -  2.23e-01 3.76e-01f  1
+  25  1.6510371e+06 5.52e-03 1.81e+01  -1.7 2.02e+01    -  6.05e-01 5.49e-01f  1
+  26  1.6497079e+06 2.99e-03 3.63e+01  -1.7 1.27e+01    -  3.65e-01 5.26e-01f  1
+  27  1.6487333e+06 1.80e-03 3.05e+01  -1.7 6.97e+00    -  5.34e-01 7.23e-01h  1
+  28  1.6483420e+06 2.67e-04 1.68e-02  -1.7 3.32e+00    -  1.00e+00 1.00e+00h  1
+  29  1.6467101e+06 1.87e-03 2.73e+01  -2.5 3.34e+01    -  2.03e-01 2.66e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6460062e+06 2.32e-03 9.45e+00  -2.5 2.70e+01    -  2.34e-01 1.39e-01f  1
+  31  1.6448375e+06 5.48e-03 9.63e+00  -2.5 2.67e+01    -  2.64e-01 2.55e-01f  1
+  32  1.6440791e+06 5.44e-03 2.19e+01  -2.5 2.36e+01    -  2.76e-01 2.09e-01f  1
+  33  1.6433518e+06 4.49e-03 5.05e+01  -2.5 2.15e+01    -  4.41e-01 2.37e-01f  1
+  34  1.6424490e+06 4.35e-03 1.35e+01  -2.5 1.91e+01    -  1.84e-01 3.63e-01f  1
+  35  1.6421609e+06 3.77e-03 4.98e+01  -2.5 1.21e+01    -  6.05e-01 1.79e-01f  1
+  36  1.6414424e+06 2.95e-03 3.24e+01  -2.5 8.34e+00    -  7.65e-01 5.36e-01f  1
+  37  1.6410655e+06 1.60e-03 1.91e+01  -2.5 2.64e+00    -  8.91e-01 6.31e-01h  1
+  38  1.6408697e+06 5.73e-04 4.76e-03  -2.5 5.87e-01    -  1.00e+00 1.00e+00h  1
+  39  1.6406999e+06 5.99e-04 5.62e+01  -3.8 4.30e+00    -  3.61e-01 1.32e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6404861e+06 8.56e-04 7.59e+01  -3.8 4.02e+00    -  4.02e-01 1.93e-01f  1
+  41  1.6402876e+06 1.37e-03 6.51e+01  -3.8 4.37e+00    -  3.93e-01 2.25e-01f  1
+  42  1.6402430e+06 1.33e-03 5.85e+01  -3.8 4.19e+00    -  4.63e-01 6.94e-02h  1
+  43  1.6400591e+06 2.05e-03 4.00e+01  -3.8 4.03e+00    -  3.08e-01 3.17e-01f  1
+  44  1.6399822e+06 1.89e-03 3.15e+01  -3.8 2.87e+00    -  6.18e-01 2.15e-01h  1
+  45  1.6399122e+06 1.66e-03 4.77e+01  -3.8 2.15e+00    -  8.82e-01 2.61e-01h  1
+  46  1.6398618e+06 1.31e-03 4.74e+01  -3.8 1.36e+00    -  4.27e-01 2.79e-01h  1
+  47  1.6398356e+06 1.03e-03 5.62e+01  -3.8 9.74e-01    -  5.58e-01 2.16e-01h  1
+  48  1.6397991e+06 5.81e-04 3.43e+01  -3.8 7.83e-01    -  3.30e-01 4.11e-01h  1
+  49  1.6397625e+06 7.49e-04 1.01e+01  -3.8 5.89e-01    -  6.26e-01 7.09e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6397486e+06 1.81e-04 1.87e-04  -3.8 2.56e-01    -  1.00e+00 1.00e+00h  1
+  51  1.6397487e+06 9.46e-07 3.78e-06  -3.8 1.21e-02    -  1.00e+00 1.00e+00h  1
+  52  1.6397327e+06 1.12e-04 9.62e-01  -5.7 7.28e-01    -  4.49e-01 3.45e-01f  1
+  53  1.6397261e+06 1.06e-04 4.24e+00  -5.7 4.39e-01    -  6.11e-01 2.21e-01h  1
+  54  1.6397155e+06 1.18e-04 1.78e+00  -5.7 4.19e-01    -  3.34e-01 4.61e-01h  1
+  55  1.6397104e+06 8.65e-05 1.89e+00  -5.7 2.92e-01    -  7.21e-01 4.16e-01h  1
+  56  1.6397071e+06 5.42e-05 1.33e+00  -5.7 2.19e-01    -  8.23e-01 4.73e-01h  1
+  57  1.6397044e+06 2.60e-05 6.01e-01  -5.7 1.34e-01    -  1.00e+00 7.39e-01h  1
+  58  1.6397035e+06 4.81e-06 1.86e-05  -5.7 3.82e-02    -  1.00e+00 1.00e+00h  1
+  59  1.6397035e+06 4.96e-08 1.82e-07  -5.7 1.98e-03    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6397031e+06 1.68e-06 1.12e-02  -7.0 2.09e-02    -  8.18e-01 7.97e-01h  1
+  61  1.6397030e+06 9.32e-07 1.71e-03  -7.0 7.56e-03    -  1.00e+00 9.89e-01h  1
+  62  1.6397030e+06 7.02e-07 3.73e-02  -7.0 1.59e-03    -  1.00e+00 2.50e-01f  3
+  63  1.6397030e+06 3.49e-08 6.13e-08  -7.0 1.39e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 63
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8186590183536133e+04    1.6397029709476177e+06
+Dual infeasibility......:   6.1305636247106043e-08    5.5273161640390806e-06
+Constraint violation....:   3.4902950751813933e-08    3.4902950751813933e-08
+Variable bound violation:   6.9320547524398535e-08    6.9320547524398535e-08
+Complementarity.........:   9.4330249760664771e-08    8.5048153184215363e-06
+Overall NLP error.......:   9.4330249760664771e-08    8.5048153184215363e-06
+
+
+Number of objective function evaluations             = 66
+Number of objective gradient evaluations             = 64
+Number of equality constraint evaluations            = 66
+Number of inequality constraint evaluations          = 66
+Number of equality constraint Jacobian evaluations   = 64
+Number of inequality constraint Jacobian evaluations = 64
+Number of Lagrangian Hessian evaluations             = 63
+Total seconds in IPOPT                               = 104.724
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-6206.log b/solver_log/opf_ForkPoolWorker-6206.log
new file mode 100644
index 0000000000000000000000000000000000000000..202754de3b8ddc198533646221d90459aca48c99
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-6206.log
@@ -0,0 +1,202 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.204
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581535
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2991665e+06 9.09e+00 3.78e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3101384e+06 8.95e+00 3.68e+01  -1.0 1.52e+01    -  5.35e-03 1.50e-02f  1
+   2  1.3183793e+06 8.81e+00 3.65e+01  -1.0 1.20e+01    -  5.80e-03 1.64e-02h  1
+   3  1.3274668e+06 8.63e+00 3.61e+01  -1.0 1.13e+01    -  1.21e-02 1.98e-02h  1
+   4  1.3429623e+06 8.35e+00 3.52e+01  -1.0 1.46e+01    -  2.56e-02 3.30e-02h  1
+   5  1.3595910e+06 8.07e+00 3.33e+01  -1.0 2.23e+01    -  5.06e-02 3.37e-02h  1
+   6  1.3876553e+06 7.62e+00 3.02e+01  -1.0 2.99e+01    -  8.94e-02 5.52e-02h  1
+   7  1.4338412e+06 6.94e+00 2.81e+01  -1.0 4.18e+01    -  7.11e-02 9.07e-02h  1
+   8  1.4773950e+06 6.32e+00 2.54e+01  -1.0 5.94e+01    -  9.56e-02 8.86e-02h  1
+   9  1.5279709e+06 5.66e+00 2.33e+01  -1.0 7.39e+01    -  7.70e-02 1.06e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5789470e+06 5.00e+00 2.13e+01  -1.0 8.80e+01    -  7.59e-02 1.17e-01h  1
+  11  1.6150897e+06 4.54e+00 1.98e+01  -1.0 9.97e+01    -  7.98e-02 9.17e-02h  1
+  12  1.6515340e+06 4.08e+00 1.81e+01  -1.0 1.06e+02    -  9.45e-02 1.01e-01h  1
+  13  1.6959667e+06 3.52e+00 1.73e+01  -1.0 1.10e+02    -  8.68e-02 1.38e-01h  1
+  14  1.7356175e+06 3.00e+00 1.67e+01  -1.0 1.14e+02    -  8.73e-02 1.48e-01h  1
+  15  1.7669554e+06 2.56e+00 1.43e+01  -1.0 1.15e+02    -  1.45e-01 1.47e-01h  1
+  16  1.7899678e+06 2.21e+00 1.34e+01  -1.0 1.32e+02    -  9.52e-02 1.37e-01h  1
+  17  1.8031909e+06 1.99e+00 1.16e+01  -1.0 1.52e+02    -  1.21e-01 1.00e-01h  1
+  18  1.8182643e+06 1.71e+00 1.14e+01  -1.0 1.73e+02    -  7.54e-02 1.43e-01h  1
+  19  1.8216954e+06 1.63e+00 1.00e+01  -1.0 1.95e+02    -  8.65e-02 4.80e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.8306563e+06 1.38e+00 2.55e+01  -1.0 2.03e+02    -  1.27e-01 1.51e-01h  1
+  21  1.8340596e+06 1.22e+00 9.61e+00  -1.0 2.30e+02    -  1.39e-01 1.15e-01h  1
+  22  1.8349916e+06 1.09e+00 2.98e+01  -1.0 2.55e+02    -  1.28e-01 1.13e-01h  1
+  23  1.8343636e+06 9.36e-01 2.77e+01  -1.0 2.71e+02    -  9.42e-02 1.41e-01h  1
+  24  1.8327761e+06 8.47e-01 1.60e+01  -1.0 2.92e+02    -  1.43e-01 9.62e-02f  1
+  25  1.8307679e+06 7.63e-01 7.64e+01  -1.0 3.08e+02    -  1.92e-01 1.00e-01f  1
+  26  1.8279159e+06 6.80e-01 8.74e+01  -1.0 3.23e+02    -  1.34e-01 1.11e-01f  1
+  27  1.8256285e+06 6.27e-01 1.82e+02  -1.0 3.35e+02    -  1.71e-01 7.82e-02f  1
+  28  1.8217572e+06 5.56e-01 5.67e+01  -1.0 3.45e+02    -  3.66e-02 1.16e-01f  1
+  29  1.8199867e+06 5.27e-01 2.01e+02  -1.0 3.47e+02    -  1.65e-01 5.21e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.8158419e+06 4.65e-01 1.16e+02  -1.0 3.48e+02    -  6.25e-02 1.21e-01f  1
+  31  1.8119820e+06 4.08e-01 1.22e+02  -1.0 3.27e+02    -  1.71e-01 1.24e-01f  1
+  32  1.8088155e+06 3.56e-01 1.36e+02  -1.0 2.86e+02    -  2.67e-01 1.29e-01f  1
+  33  1.8068055e+06 3.08e-01 1.55e+02  -1.0 2.24e+02    -  2.75e-01 1.36e-01f  1
+  34  1.8064077e+06 2.75e-01 1.59e+02  -1.0 1.66e+02    -  1.87e-01 1.07e-01h  1
+  35  1.8062893e+06 2.22e-01 1.23e+02  -1.0 1.73e+02    -  1.47e-01 1.97e-01h  1
+  36  1.8068489e+06 1.85e-01 1.01e+02  -1.0 1.58e+02    -  1.63e-01 1.72e-01h  1
+  37  1.8074408e+06 1.60e-01 1.41e+02  -1.0 7.84e+01    -  4.33e-01 1.37e-01h  1
+  38  1.8095271e+06 1.12e-01 2.32e+02  -1.0 5.65e+01    -  6.60e-01 3.07e-01h  1
+  39  1.8116594e+06 7.47e-02 3.68e+02  -1.0 3.85e+01    -  8.25e-01 3.42e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.8158292e+06 1.42e-02 4.33e+01  -1.0 2.11e+01    -  5.96e-01 8.22e-01h  1
+  41  1.8165700e+06 2.07e-02 2.82e+02  -1.0 2.60e+01    -  9.91e-01 6.42e-01h  1
+  42  1.8171146e+06 2.84e-03 4.56e-02  -1.0 5.89e+00    -  1.00e+00 1.00e+00h  1
+  43  1.8097071e+06 6.18e-03 2.37e+02  -1.7 6.06e+01    -  5.49e-01 4.33e-01f  1
+  44  1.8050198e+06 1.09e-02 4.58e+01  -1.7 4.49e+01    -  2.43e-01 4.08e-01f  1
+  45  1.8032238e+06 8.13e-03 1.15e+02  -1.7 3.13e+01    -  4.22e-01 2.43e-01f  1
+  46  1.8022650e+06 7.71e-03 1.70e+02  -1.7 2.56e+01    -  3.46e-01 1.60e-01f  1
+  47  1.7993730e+06 1.21e-02 2.93e+01  -1.7 2.27e+01    -  1.57e-01 5.40e-01f  1
+  48  1.7973424e+06 6.52e-03 4.15e+01  -1.7 1.19e+01    -  5.97e-01 7.72e-01f  1
+  49  1.7966213e+06 1.57e-03 2.86e+01  -1.7 3.66e+00    -  6.53e-01 9.84e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.7965628e+06 2.54e-05 8.20e-03  -1.7 6.76e-01    -  1.00e+00 1.00e+00h  1
+  51  1.7950074e+06 2.05e-03 2.57e+01  -3.8 2.88e+01    -  1.70e-01 2.21e-01f  1
+  52  1.7943724e+06 2.30e-03 1.79e+01  -3.8 1.72e+01    -  1.21e-01 1.09e-01f  1
+  53  1.7936403e+06 2.83e-03 1.87e+01  -3.8 2.03e+01    -  2.26e-01 1.34e-01f  1
+  54  1.7933614e+06 2.72e-03 1.73e+01  -3.8 1.48e+01    -  5.39e-02 5.53e-02f  1
+  55  1.7924768e+06 7.70e-03 1.19e+02  -3.8 1.84e+01    -  3.40e-01 1.83e-01f  1
+  56  1.7917387e+06 1.07e-02 9.99e+01  -3.8 1.47e+01    -  2.25e-01 1.66e-01f  1
+  57  1.7914212e+06 1.05e-02 1.74e+02  -3.8 9.54e+00    -  2.42e-01 8.32e-02f  1
+  58  1.7905424e+06 1.29e-02 1.27e+02  -3.8 7.33e+00    -  2.36e-01 2.48e-01f  1
+  59  1.7901937e+06 1.11e-02 1.16e+02  -3.8 1.07e+01    -  2.61e-01 1.30e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7898353e+06 9.28e-03 9.82e+01  -3.8 5.77e+00    -  1.97e-01 1.54e-01f  1
+  61  1.7894120e+06 7.10e-03 7.57e+01  -3.8 4.82e+00    -  3.13e-01 2.17e-01f  1
+  62  1.7891699e+06 5.90e-03 6.34e+01  -3.8 5.87e+00    -  1.65e-01 1.62e-01f  1
+  63  1.7889417e+06 4.74e-03 5.25e+01  -3.8 6.26e+00    -  4.59e-01 1.90e-01f  1
+  64  1.7888141e+06 4.08e-03 5.35e+01  -3.8 5.64e+00    -  4.29e-01 1.38e-01h  1
+  65  1.7885981e+06 2.89e-03 3.93e+01  -3.8 5.04e+00    -  3.52e-01 2.87e-01f  1
+  66  1.7885135e+06 2.38e-03 3.77e+01  -3.8 3.56e+00    -  6.05e-01 1.76e-01h  1
+  67  1.7884088e+06 1.70e-03 2.67e+01  -3.8 3.11e+00    -  2.50e-01 2.86e-01h  1
+  68  1.7883659e+06 1.39e-03 2.32e+01  -3.8 2.35e+00    -  4.73e-01 1.81e-01h  1
+  69  1.7883047e+06 9.28e-04 1.55e+01  -3.8 2.02e+00    -  3.15e-01 3.32e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.7882437e+06 5.17e-04 8.24e+00  -3.8 1.46e+00    -  9.53e-01 5.19e-01h  1
+  71  1.7882003e+06 3.41e-04 1.36e+00  -3.8 6.72e-01    -  8.58e-01 8.38e-01h  1
+  72  1.7881933e+06 1.16e-05 1.37e-04  -3.8 1.35e-01    -  1.00e+00 1.00e+00h  1
+  73  1.7881780e+06 5.75e-05 1.34e+00  -5.7 7.32e-01    -  5.27e-01 3.28e-01f  1
+  74  1.7881731e+06 6.11e-05 1.33e+00  -5.7 5.52e-01    -  2.25e-01 1.62e-01h  1
+  75  1.7881664e+06 7.10e-05 2.31e+00  -5.7 4.76e-01    -  7.31e-01 2.60e-01h  1
+  76  1.7881618e+06 7.09e-05 2.22e+00  -5.7 3.75e-01    -  5.58e-01 2.46e-01h  1
+  77  1.7881562e+06 7.57e-05 2.07e+00  -5.7 2.88e-01    -  6.34e-01 4.06e-01h  1
+  78  1.7881509e+06 6.28e-05 8.09e-01  -5.7 1.72e-01    -  6.73e-01 6.49e-01h  1
+  79  1.7881483e+06 1.63e-05 1.24e-01  -5.7 5.90e-02    -  1.00e+00 9.37e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.7881482e+06 2.65e-07 2.05e-06  -5.7 1.15e-02    -  1.00e+00 1.00e+00h  1
+  81  1.7881482e+06 3.58e-09 2.93e-08  -5.7 6.24e-04    -  1.00e+00 1.00e+00h  1
+  82  1.7881477e+06 7.26e-07 1.39e-02  -7.0 1.38e-02    -  8.25e-01 7.95e-01f  1
+  83  1.7881476e+06 2.97e-07 2.15e-06  -7.0 5.62e-03    -  1.00e+00 1.00e+00h  1
+  84  1.7881476e+06 3.82e-08 2.60e-07  -7.0 3.48e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 84
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9833048257061993e+04    1.7881476308567093e+06
+Dual infeasibility......:   2.6017192482839724e-07    2.3457100742528295e-05
+Constraint violation....:   3.8202807300848768e-08    3.8202807300848768e-08
+Variable bound violation:   1.2310417218941438e-07    1.2310417218941438e-07
+Complementarity.........:   1.1437486089453344e-07    1.0312037458251135e-05
+Overall NLP error.......:   2.6017192482839724e-07    2.3457100742528295e-05
+
+
+Number of objective function evaluations             = 85
+Number of objective gradient evaluations             = 85
+Number of equality constraint evaluations            = 85
+Number of inequality constraint evaluations          = 85
+Number of equality constraint Jacobian evaluations   = 85
+Number of inequality constraint Jacobian evaluations = 85
+Number of Lagrangian Hessian evaluations             = 84
+Total seconds in IPOPT                               = 90.276
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-6347.log b/solver_log/opf_ForkPoolWorker-6347.log
new file mode 100644
index 0000000000000000000000000000000000000000..c023dd07d5b61a74c0722e4d7fc230976e26dae6
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-6347.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.182
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581544
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3218680e+06 1.13e+01 5.62e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3364293e+06 1.11e+01 5.56e+01  -1.0 1.56e+01    -  4.89e-03 1.69e-02f  1
+   2  1.3452813e+06 1.09e+01 5.53e+01  -1.0 1.21e+01    -  6.03e-03 1.49e-02h  1
+   3  1.3554363e+06 1.07e+01 5.47e+01  -1.0 1.14e+01    -  1.18e-02 1.91e-02h  1
+   4  1.3729165e+06 1.04e+01 5.34e+01  -1.0 1.53e+01    -  2.63e-02 3.26e-02h  1
+   5  1.3918103e+06 1.00e+01 5.04e+01  -1.0 2.38e+01    -  5.16e-02 3.30e-02h  1
+   6  1.4238395e+06 9.50e+00 4.52e+01  -1.0 3.20e+01    -  9.31e-02 5.39e-02h  1
+   7  1.4799343e+06 8.62e+00 4.00e+01  -1.0 4.47e+01    -  1.13e-01 9.37e-02h  1
+   8  1.5385447e+06 7.76e+00 3.78e+01  -1.0 6.53e+01    -  6.06e-02 1.01e-01h  1
+   9  1.6018049e+06 6.87e+00 3.52e+01  -1.0 8.44e+01    -  7.36e-02 1.15e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.6427037e+06 6.30e+00 3.14e+01  -1.0 1.03e+02    -  1.04e-01 8.22e-02h  1
+  11  1.7067964e+06 5.44e+00 3.10e+01  -1.0 1.13e+02    -  2.62e-02 1.38e-01h  1
+  12  1.7360515e+06 5.04e+00 2.71e+01  -1.0 1.25e+02    -  1.22e-01 7.38e-02h  1
+  13  1.7836087e+06 4.40e+00 2.45e+01  -1.0 1.27e+02    -  9.67e-02 1.28e-01h  1
+  14  1.8202841e+06 3.89e+00 2.32e+01  -1.0 1.30e+02    -  5.69e-02 1.15e-01h  1
+  15  1.8601530e+06 3.33e+00 2.03e+01  -1.0 1.29e+02    -  1.28e-01 1.45e-01h  1
+  16  1.8972746e+06 2.78e+00 1.88e+01  -1.0 1.46e+02    -  8.52e-02 1.65e-01h  1
+  17  1.9116260e+06 2.55e+00 1.68e+01  -1.0 1.76e+02    -  1.05e-01 8.29e-02h  1
+  18  1.9332527e+06 2.18e+00 1.58e+01  -1.0 1.97e+02    -  7.48e-02 1.46e-01h  1
+  19  1.9418346e+06 2.00e+00 1.35e+01  -1.0 2.26e+02    -  1.29e-01 8.18e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.9531182e+06 1.73e+00 1.16e+01  -1.0 2.43e+02    -  1.38e-01 1.34e-01h  1
+  21  1.9590253e+06 1.55e+00 1.05e+01  -1.0 2.70e+02    -  1.01e-01 1.04e-01h  1
+  22  1.9661696e+06 1.29e+00 8.80e+00  -1.0 2.85e+02    -  1.63e-01 1.68e-01h  1
+  23  1.9696915e+06 1.11e+00 6.11e+01  -1.0 3.09e+02    -  1.96e-01 1.39e-01h  1
+  24  1.9710903e+06 9.99e-01 8.00e+01  -1.0 3.41e+02    -  1.50e-01 1.03e-01h  1
+  25  1.9719329e+06 8.88e-01 4.86e+01  -1.0 3.62e+02    -  6.45e-02 1.11e-01h  1
+  26  1.9723115e+06 7.77e-01 8.44e+01  -1.0 3.69e+02    -  1.82e-01 1.25e-01h  1
+  27  1.9719586e+06 6.87e-01 1.32e+02  -1.0 3.77e+02    -  2.03e-01 1.16e-01h  1
+  28  1.9713620e+06 5.94e-01 2.04e+02  -1.0 3.64e+02    -  2.41e-01 1.37e-01h  1
+  29  1.9705935e+06 4.63e-01 6.55e+01  -1.0 3.38e+02    -  1.14e-01 2.24e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.9707356e+06 4.48e-01 1.19e+02  -1.0 2.34e+02    -  2.30e-01 3.34e-02h  1
+  31  1.9733028e+06 3.42e-01 8.15e+01  -1.0 1.86e+02    -  9.60e-02 2.37e-01h  1
+  32  1.9748403e+06 2.85e-01 4.67e+01  -1.0 1.33e+02    -  2.44e-01 1.69e-01h  1
+  33  1.9769363e+06 2.25e-01 4.94e+01  -1.0 1.02e+02    -  3.03e-01 2.11e-01h  1
+  34  1.9791516e+06 1.76e-01 8.12e+01  -1.0 7.26e+01    -  3.37e-01 2.20e-01h  1
+  35  1.9825734e+06 1.06e-01 4.35e+01  -1.0 6.06e+01    -  3.79e-01 4.03e-01h  1
+  36  1.9834307e+06 9.18e-02 1.59e+02  -1.0 5.37e+01    -  3.53e-01 1.35e-01h  1
+  37  1.9856242e+06 5.90e-02 1.39e+02  -1.0 4.54e+01    -  4.21e-01 3.57e-01h  1
+  38  1.9892793e+06 1.46e-02 1.45e+02  -1.0 2.26e+01    -  9.22e-01 7.53e-01h  1
+  39  1.9910576e+06 1.92e-03 6.53e+00  -1.0 6.21e+00    -  9.91e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.9909971e+06 6.77e-04 5.86e-02  -1.0 2.01e+00    -  1.00e+00 1.00e+00h  1
+  41  1.9828462e+06 6.95e-03 1.88e+02  -2.5 7.66e+01    -  3.01e-01 3.75e-01f  1
+  42  1.9805405e+06 6.61e-03 9.92e+01  -2.5 5.75e+01    -  1.90e-01 1.56e-01f  1
+  43  1.9788480e+06 5.93e-03 1.72e+01  -2.5 4.79e+01    -  1.98e-01 1.30e-01f  1
+  44  1.9758751e+06 1.54e-02 1.33e+02  -2.5 4.89e+01    -  1.24e-01 2.48e-01f  1
+  45  1.9749266e+06 1.42e-02 5.43e+01  -2.5 3.79e+01    -  2.34e-01 9.59e-02f  1
+  46  1.9724913e+06 1.07e-02 9.41e+01  -2.5 3.80e+01    -  1.10e-01 2.51e-01f  1
+  47  1.9710045e+06 8.65e-03 1.07e+02  -2.5 2.95e+01    -  1.45e-01 1.92e-01f  1
+  48  1.9700020e+06 7.35e-03 6.93e+01  -2.5 2.08e+01    -  1.89e-01 1.52e-01f  1
+  49  1.9690376e+06 6.21e-03 4.66e+01  -2.5 2.69e+01    -  1.83e-01 1.57e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.9679943e+06 6.23e-03 2.53e+01  -2.5 2.71e+01    -  2.34e-01 1.88e-01f  1
+  51  1.9668459e+06 7.33e-03 1.95e+01  -2.5 2.15e+01    -  2.33e-01 2.33e-01f  1
+  52  1.9664435e+06 6.60e-03 1.76e+01  -2.5 1.28e+01    -  1.03e-01 1.01e-01f  1
+  53  1.9652723e+06 6.71e-03 1.31e+02  -2.5 1.38e+01    -  8.31e-02 3.16e-01f  1
+  54  1.9647541e+06 7.14e-03 2.97e+01  -2.5 1.01e+01    -  4.90e-01 1.93e-01f  1
+  55  1.9637593e+06 3.69e-03 1.98e+01  -2.5 4.49e+00    -  2.72e-01 4.30e-01f  1
+  56  1.9635803e+06 3.21e-03 3.04e+01  -2.5 2.45e+00    -  5.37e-01 1.33e-01h  1
+  57  1.9631563e+06 2.29e-03 1.96e+01  -2.5 2.47e+00    -  2.25e-01 3.62e-01f  1
+  58  1.9626343e+06 1.60e-03 5.70e+00  -2.5 2.07e+00    -  7.49e-01 7.08e-01h  1
+  59  1.9624793e+06 4.22e-04 4.15e+00  -2.5 8.48e-01    -  1.00e+00 7.64e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.9624375e+06 3.38e-05 1.51e-03  -2.5 2.84e-01    -  1.00e+00 1.00e+00h  1
+  61  1.9621839e+06 3.17e-04 1.08e+01  -3.8 4.19e+00    -  3.06e-01 2.01e-01f  1
+  62  1.9620642e+06 4.39e-04 1.63e+01  -3.8 4.11e+00    -  2.15e-01 1.25e-01f  1
+  63  1.9619356e+06 5.56e-04 2.83e+01  -3.8 3.53e+00    -  3.98e-01 1.58e-01f  1
+  64  1.9617833e+06 6.53e-04 3.03e+01  -3.8 2.92e+00    -  4.49e-01 2.30e-01f  1
+  65  1.9616488e+06 6.61e-04 1.94e+01  -3.8 2.28e+00    -  1.64e-01 2.76e-01f  1
+  66  1.9615874e+06 5.75e-04 2.42e+01  -3.8 1.73e+00    -  6.34e-01 1.88e-01h  1
+  67  1.9615135e+06 4.84e-04 1.84e+01  -3.8 1.90e+00    -  4.72e-01 2.95e-01h  1
+  68  1.9614404e+06 4.60e-04 1.12e+01  -3.8 1.93e+00    -  6.41e-01 4.34e-01h  1
+  69  1.9614097e+06 3.79e-04 8.07e+00  -3.8 1.13e+00    -  8.98e-01 3.51e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.9613582e+06 1.44e-04 3.72e+00  -3.8 8.65e-01    -  5.30e-01 9.87e-01h  1
+  71  1.9613581e+06 7.63e-05 2.96e-02  -3.8 1.22e-01    -  1.00e+00 9.88e-01h  1
+  72  1.9613581e+06 1.42e-07 6.79e-06  -3.8 1.03e-02    -  1.00e+00 1.00e+00h  1
+  73  1.9613381e+06 1.02e-04 1.99e-01  -5.7 9.48e-01    -  4.62e-01 4.32e-01f  1
+  74  1.9613288e+06 9.21e-05 9.93e-01  -5.7 7.13e-01    -  5.83e-01 3.59e-01h  1
+  75  1.9613241e+06 7.40e-05 1.76e+00  -5.7 5.10e-01    -  5.55e-01 2.82e-01h  1
+  76  1.9613145e+06 6.74e-05 2.68e-01  -5.7 3.71e-01    -  7.48e-01 8.04e-01h  1
+  77  1.9613125e+06 1.22e-05 2.96e-02  -5.7 9.99e-02    -  9.15e-01 9.00e-01h  1
+  78  1.9613123e+06 4.67e-07 7.60e-06  -5.7 1.31e-02    -  1.00e+00 1.00e+00h  1
+  79  1.9613123e+06 1.49e-08 1.48e-07  -5.7 2.26e-03    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.9613119e+06 1.80e-07 3.83e-02  -7.0 1.83e-02    -  8.16e-01 7.23e-01h  1
+  81  1.9613118e+06 2.07e-07 2.77e-02  -7.0 5.77e-03    -  7.87e-01 1.00e+00f  1
+  82  1.9613118e+06 1.51e-08 1.95e-07  -7.0 1.58e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   2.1753679833850831e+04    1.9613117738199909e+06
+Dual infeasibility......:   1.9541997589898148e-07    1.7619065027052169e-05
+Constraint violation....:   1.5095332160479369e-08    1.5095332160479369e-08
+Variable bound violation:   7.6011186678215381e-08    7.6011186678215381e-08
+Complementarity.........:   1.1972526907548540e-07    1.0794430259845764e-05
+Overall NLP error.......:   1.9541997589898148e-07    1.7619065027052169e-05
+
+
+Number of objective function evaluations             = 83
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 83
+Number of inequality constraint evaluations          = 83
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 83.039
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-6495.log b/solver_log/opf_ForkPoolWorker-6495.log
new file mode 100644
index 0000000000000000000000000000000000000000..b31faebcdab26e7e9febcc5388f0650fa7f5e3f4
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-6495.log
@@ -0,0 +1,198 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.757
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581542
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3322059e+06 8.86e+00 4.79e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3414118e+06 8.74e+00 4.70e+01  -1.0 1.40e+01    -  5.56e-03 1.41e-02f  1
+   2  1.3471736e+06 8.63e+00 4.68e+01  -1.0 1.12e+01    -  5.97e-03 1.24e-02f  1
+   3  1.3548761e+06 8.47e+00 4.65e+01  -1.0 1.04e+01    -  9.54e-03 1.87e-02h  1
+   4  1.3678124e+06 8.21e+00 4.55e+01  -1.0 1.11e+01    -  2.34e-02 3.09e-02h  1
+   5  1.3839719e+06 7.91e+00 4.34e+01  -1.0 1.75e+01    -  4.37e-02 3.63e-02h  1
+   6  1.4048139e+06 7.56e+00 4.08e+01  -1.0 2.48e+01    -  5.85e-02 4.45e-02h  1
+   7  1.4432931e+06 6.95e+00 3.70e+01  -1.0 3.33e+01    -  9.28e-02 8.16e-02h  1
+   8  1.4893629e+06 6.26e+00 3.49e+01  -1.0 4.79e+01    -  5.71e-02 9.98e-02h  1
+   9  1.5267404e+06 5.73e+00 3.09e+01  -1.0 6.37e+01    -  1.17e-01 8.52e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5748921e+06 5.07e+00 2.83e+01  -1.0 7.54e+01    -  8.03e-02 1.15e-01h  1
+  11  1.6123334e+06 4.57e+00 2.64e+01  -1.0 8.71e+01    -  6.76e-02 9.90e-02h  1
+  12  1.6457817e+06 4.14e+00 2.45e+01  -1.0 9.34e+01    -  7.14e-02 9.60e-02h  1
+  13  1.6773884e+06 3.72e+00 2.31e+01  -1.0 9.68e+01    -  5.60e-02 1.00e-01h  1
+  14  1.7152764e+06 3.22e+00 2.00e+01  -1.0 1.08e+02    -  1.36e-01 1.35e-01h  1
+  15  1.7555201e+06 2.68e+00 1.79e+01  -1.0 1.30e+02    -  1.13e-01 1.69e-01h  1
+  16  1.7819396e+06 2.29e+00 1.56e+01  -1.0 1.57e+02    -  1.32e-01 1.46e-01h  1
+  17  1.8077477e+06 1.86e+00 1.54e+01  -1.0 1.82e+02    -  6.60e-02 1.89e-01h  1
+  18  1.8151811e+06 1.70e+00 1.28e+01  -1.0 2.17e+02    -  1.40e-01 8.27e-02h  1
+  19  1.8253361e+06 1.46e+00 1.04e+01  -1.0 2.46e+02    -  1.71e-01 1.45e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.8308782e+06 1.24e+00 8.85e+00  -1.0 2.92e+02    -  1.50e-01 1.47e-01h  1
+  21  1.8325495e+06 1.10e+00 7.55e+00  -1.0 3.29e+02    -  1.33e-01 1.18e-01h  1
+  22  1.8327255e+06 9.23e-01 6.14e+00  -1.0 3.54e+02    -  1.71e-01 1.57e-01h  1
+  23  1.8306622e+06 7.94e-01 4.88e+00  -1.0 3.88e+02    -  1.69e-01 1.40e-01f  1
+  24  1.8274206e+06 6.91e-01 1.22e+01  -1.0 4.18e+02    -  2.18e-01 1.29e-01f  1
+  25  1.8220385e+06 5.67e-01 4.03e+00  -1.0 4.35e+02    -  1.29e-01 1.80e-01f  1
+  26  1.8181021e+06 4.99e-01 9.65e+00  -1.0 4.41e+02    -  1.62e-01 1.19e-01f  1
+  27  1.8130678e+06 4.23e-01 1.11e+01  -1.0 4.39e+02    -  1.70e-01 1.52e-01f  1
+  28  1.8091488e+06 3.73e-01 3.46e+01  -1.0 4.31e+02    -  2.53e-01 1.18e-01f  1
+  29  1.8057461e+06 3.28e-01 4.76e+01  -1.0 4.03e+02    -  2.06e-01 1.21e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.8029802e+06 2.75e-01 9.52e+01  -1.0 3.00e+02    -  2.69e-01 1.62e-01f  1
+  31  1.8020839e+06 2.41e-01 2.23e+02  -1.0 2.14e+02    -  3.54e-01 1.24e-01h  1
+  32  1.8016653e+06 1.69e-01 1.68e+02  -1.0 1.63e+02    -  3.35e-01 3.05e-01h  1
+  33  1.8020866e+06 1.40e-01 2.42e+02  -1.0 1.13e+02    -  6.40e-01 1.74e-01h  1
+  34  1.8040341e+06 8.29e-02 3.20e+02  -1.0 8.06e+01    -  8.89e-01 4.19e-01h  1
+  35  1.8056991e+06 5.08e-02 4.34e+02  -1.0 4.49e+01    -  9.03e-01 3.97e-01h  1
+  36  1.8087821e+06 1.12e-02 4.95e-01  -1.0 2.81e+01    -  9.93e-01 9.97e-01h  1
+  37  1.8021645e+06 1.10e-02 1.85e+02  -1.7 8.10e+01    -  5.10e-01 3.78e-01f  1
+  38  1.7983531e+06 1.20e-02 3.49e+02  -1.7 6.70e+01    -  6.15e-01 2.96e-01f  1
+  39  1.7963693e+06 9.28e-03 2.88e+02  -1.7 5.25e+01    -  2.30e-01 1.98e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.7945306e+06 7.68e-03 2.45e+02  -1.7 4.58e+01    -  3.28e-01 2.21e-01f  1
+  41  1.7918428e+06 7.87e-03 1.09e+02  -1.7 3.25e+01    -  1.88e-01 4.29e-01f  1
+  42  1.7908876e+06 6.91e-03 8.56e+01  -1.7 1.72e+01    -  3.06e-01 2.59e-01f  1
+  43  1.7885228e+06 7.62e-03 2.26e+01  -1.7 1.38e+01    -  7.47e-01 8.08e-01f  1
+  44  1.7879659e+06 6.92e-04 2.70e+01  -1.7 2.42e+00    -  5.06e-01 1.00e+00h  1
+  45  1.7879287e+06 1.39e-05 1.86e-02  -1.7 3.75e-01    -  1.00e+00 1.00e+00h  1
+  46  1.7869928e+06 6.92e-04 4.53e+01  -3.8 2.53e+01    -  2.24e-01 1.33e-01f  1
+  47  1.7862426e+06 1.22e-03 8.21e+01  -3.8 1.85e+01    -  2.35e-01 1.27e-01f  1
+  48  1.7849615e+06 4.95e-03 1.52e+01  -3.8 1.83e+01    -  7.30e-02 2.28e-01f  1
+  49  1.7848136e+06 4.85e-03 7.78e+01  -3.8 1.41e+01    -  2.45e-01 3.35e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.7836340e+06 7.14e-03 4.09e+01  -3.8 1.48e+01    -  3.93e-02 2.53e-01f  1
+  51  1.7832614e+06 6.49e-03 3.83e+01  -3.8 1.31e+01    -  2.10e-01 9.91e-02f  1
+  52  1.7825134e+06 5.15e-03 2.98e+01  -3.8 1.25e+01    -  5.69e-02 2.05e-01f  1
+  53  1.7820133e+06 4.23e-03 2.50e+01  -3.8 9.49e+00    -  3.06e-01 1.70e-01f  1
+  54  1.7813945e+06 3.14e-03 2.50e+01  -3.8 6.87e+00    -  2.83e-01 2.39e-01f  1
+  55  1.7811485e+06 2.81e-03 3.59e+01  -3.8 4.42e+00    -  2.44e-01 1.23e-01f  1
+  56  1.7808747e+06 2.57e-03 4.47e+01  -3.8 3.60e+00    -  3.19e-01 1.59e-01f  1
+  57  1.7807008e+06 2.34e-03 4.21e+01  -3.8 4.56e+00    -  1.73e-01 1.25e-01f  1
+  58  1.7805214e+06 2.09e-03 3.93e+01  -3.8 4.61e+00    -  2.18e-01 1.51e-01f  1
+  59  1.7803673e+06 1.86e-03 3.76e+01  -3.8 3.00e+00    -  2.60e-01 1.64e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7802487e+06 1.66e-03 4.11e+01  -3.8 3.01e+00    -  3.72e-01 1.56e-01h  1
+  61  1.7800671e+06 1.41e-03 2.93e+01  -3.8 2.55e+00    -  3.03e-01 2.94e-01f  1
+  62  1.7800080e+06 1.22e-03 3.35e+01  -3.8 1.95e+00    -  5.19e-01 1.49e-01h  1
+  63  1.7799297e+06 1.05e-03 2.60e+01  -3.8 1.80e+00    -  2.95e-01 2.44e-01h  1
+  64  1.7798471e+06 8.58e-04 1.89e+01  -3.8 1.43e+00    -  5.67e-01 3.60e-01h  1
+  65  1.7798118e+06 6.71e-04 1.49e+01  -3.8 9.56e-01    -  6.87e-01 2.63e-01h  1
+  66  1.7797755e+06 4.44e-04 9.55e+00  -3.8 6.63e-01    -  1.00e+00 3.94e-01h  1
+  67  1.7797415e+06 1.79e-04 3.05e+00  -3.8 3.75e-01    -  6.93e-01 6.81e-01h  1
+  68  1.7797269e+06 1.92e-05 9.86e-02  -3.8 1.34e-01    -  1.00e+00 9.71e-01h  1
+  69  1.7797266e+06 9.35e-07 2.19e-05  -3.8 1.83e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.7797114e+06 1.99e-05 4.39e-01  -5.7 4.60e-01    -  3.75e-01 3.34e-01f  1
+  71  1.7796987e+06 3.81e-05 6.90e-01  -5.7 3.62e-01    -  3.14e-01 4.30e-01h  1
+  72  1.7796916e+06 5.98e-05 1.02e+00  -5.7 3.50e-01    -  2.72e-01 4.26e-01h  1
+  73  1.7796865e+06 2.92e-05 3.19e-01  -5.7 2.16e-01    -  6.01e-01 5.34e-01h  1
+  74  1.7796832e+06 9.07e-06 1.61e-01  -5.7 1.02e-01    -  6.60e-01 7.24e-01h  1
+  75  1.7796823e+06 4.69e-06 4.89e-01  -5.7 3.94e-02    -  1.00e+00 6.40e-01f  1
+  76  1.7796819e+06 1.45e-06 1.48e-01  -5.7 3.01e-02    -  7.60e-01 1.00e+00f  1
+  77  1.7796819e+06 3.26e-08 2.30e-06  -5.7 3.35e-03    -  1.00e+00 1.00e+00h  1
+  78  1.7796814e+06 5.23e-07 7.33e-02  -7.0 2.05e-02    -  7.44e-01 8.70e-01h  1
+  79  1.7796813e+06 2.17e-07 6.35e-02  -7.0 9.99e-03    -  8.25e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.7796813e+06 3.57e-08 9.59e-08  -7.0 2.37e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 80
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9739145234950400e+04    1.7796813343831280e+06
+Dual infeasibility......:   9.5913136076275751e-08    8.6475283486370210e-06
+Constraint violation....:   3.5660785935309747e-08    3.5660785935309747e-08
+Variable bound violation:   1.2079501665596126e-07    1.2079501665596126e-07
+Complementarity.........:   1.1854586329498417e-07    1.0688095034675774e-05
+Overall NLP error.......:   1.1854586329498417e-07    1.0688095034675774e-05
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 81
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 81
+Number of inequality constraint Jacobian evaluations = 81
+Number of Lagrangian Hessian evaluations             = 80
+Total seconds in IPOPT                               = 137.479
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-6778.log b/solver_log/opf_ForkPoolWorker-6778.log
new file mode 100644
index 0000000000000000000000000000000000000000..6ad1c80fdc0e7c63584f6f4430b24df57ef05124
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-6778.log
@@ -0,0 +1,196 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 9.782
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581543
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3216588e+06 1.16e+01 5.89e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3281912e+06 1.14e+01 5.82e+01  -1.0 1.28e+01    -  6.40e-03 1.47e-02f  1
+   2  1.3349162e+06 1.11e+01 5.78e+01  -1.0 1.04e+01    -  7.01e-03 2.21e-02f  1
+   3  1.3410296e+06 1.09e+01 5.68e+01  -1.0 9.56e+00    -  1.71e-02 2.28e-02h  1
+   4  1.3515022e+06 1.05e+01 5.50e+01  -1.0 1.20e+01    -  3.23e-02 3.66e-02h  1
+   5  1.3622867e+06 1.01e+01 5.12e+01  -1.0 1.81e+01    -  6.45e-02 3.47e-02h  1
+   6  1.3840781e+06 9.46e+00 4.50e+01  -1.0 2.36e+01    -  1.16e-01 6.72e-02h  1
+   7  1.4213578e+06 8.37e+00 3.81e+01  -1.0 3.38e+01    -  1.49e-01 1.16e-01h  1
+   8  1.4593973e+06 7.32e+00 3.30e+01  -1.0 4.89e+01    -  1.32e-01 1.26e-01h  1
+   9  1.5022944e+06 6.19e+00 2.94e+01  -1.0 6.14e+01    -  1.15e-01 1.56e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5301735e+06 5.45e+00 2.70e+01  -1.0 7.21e+01    -  8.78e-02 1.20e-01h  1
+  11  1.5578796e+06 4.71e+00 2.51e+01  -1.0 7.97e+01    -  8.16e-02 1.37e-01h  1
+  12  1.5818335e+06 4.04e+00 2.16e+01  -1.0 9.09e+01    -  1.42e-01 1.43e-01h  1
+  13  1.6029247e+06 3.42e+00 2.02e+01  -1.0 1.06e+02    -  8.03e-02 1.54e-01h  1
+  14  1.6175689e+06 2.94e+00 1.84e+01  -1.0 1.28e+02    -  9.66e-02 1.41e-01h  1
+  15  1.6304736e+06 2.43e+00 1.53e+01  -1.0 1.56e+02    -  1.73e-01 1.74e-01h  1
+  16  1.6358544e+06 2.15e+00 1.35e+01  -1.0 1.85e+02    -  1.15e-01 1.15e-01h  1
+  17  1.6394541e+06 1.88e+00 1.18e+01  -1.0 2.03e+02    -  1.25e-01 1.26e-01h  1
+  18  1.6407351e+06 1.59e+00 1.10e+01  -1.0 2.38e+02    -  9.82e-02 1.53e-01h  1
+  19  1.6384196e+06 1.29e+00 1.18e+01  -1.0 2.85e+02    -  8.74e-02 1.88e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6355000e+06 1.16e+00 7.95e+00  -1.0 3.32e+02    -  2.00e-01 1.02e-01f  1
+  21  1.6326123e+06 1.07e+00 6.50e+00  -1.0 3.70e+02    -  1.48e-01 8.19e-02f  1
+  22  1.6266681e+06 9.13e-01 6.06e+00  -1.0 3.98e+02    -  9.53e-02 1.44e-01f  1
+  23  1.6225517e+06 8.33e-01 6.00e+00  -1.0 4.29e+02    -  1.49e-01 8.82e-02f  1
+  24  1.6161236e+06 7.24e-01 5.71e+00  -1.0 4.44e+02    -  1.35e-01 1.31e-01f  1
+  25  1.6122456e+06 6.68e-01 2.72e+01  -1.0 4.48e+02    -  2.27e-01 7.72e-02f  1
+  26  1.6085262e+06 6.10e-01 4.76e+01  -1.0 4.41e+02    -  2.33e-01 8.72e-02f  1
+  27  1.5995679e+06 4.73e-01 7.96e+00  -1.0 4.46e+02    -  5.18e-02 2.25e-01f  1
+  28  1.5946327e+06 4.09e-01 3.01e+01  -1.0 4.11e+02    -  2.46e-01 1.36e-01f  1
+  29  1.5908751e+06 3.47e-01 8.04e+01  -1.0 3.74e+02    -  3.86e-01 1.53e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.5897059e+06 3.20e-01 1.28e+02  -1.0 2.76e+02    -  2.81e-01 7.76e-02f  1
+  31  1.5873914e+06 2.33e-01 1.00e+02  -1.0 2.06e+02    -  2.99e-01 2.73e-01f  1
+  32  1.5858594e+06 1.39e-01 1.89e+02  -1.0 1.34e+02    -  7.49e-01 4.07e-01h  1
+  33  1.5858681e+06 1.07e-01 4.91e+02  -1.0 7.29e+01    -  9.90e-01 2.31e-01h  1
+  34  1.5863906e+06 5.64e-02 4.19e+02  -1.0 5.13e+01    -  9.65e-01 5.29e-01h  1
+  35  1.5869560e+06 1.87e-02 8.50e-01  -1.0 3.30e+01    -  1.00e+00 1.00e+00h  1
+  36  1.5870166e+06 9.92e-04 4.16e-02  -1.0 8.27e+00    -  1.00e+00 1.00e+00h  1
+  37  1.5797360e+06 1.81e-02 1.73e+02  -1.7 8.49e+01    -  4.93e-01 4.10e-01f  1
+  38  1.5752889e+06 1.21e-02 3.39e+02  -1.7 7.10e+01    -  5.61e-01 3.46e-01f  1
+  39  1.5720212e+06 8.10e-03 2.68e+02  -1.7 5.00e+01    -  4.47e-01 3.46e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.5704170e+06 6.32e-03 2.56e+02  -1.7 2.78e+01    -  4.90e-01 2.59e-01f  1
+  41  1.5688626e+06 6.40e-03 1.56e+02  -1.7 1.98e+01    -  2.43e-01 3.42e-01f  1
+  42  1.5668253e+06 4.77e-03 8.74e+01  -1.7 1.23e+01    -  3.16e-01 7.29e-01f  1
+  43  1.5659730e+06 8.94e-04 9.68e+01  -1.7 4.46e+00    -  4.64e-01 1.00e+00h  1
+  44  1.5659184e+06 9.83e-05 1.03e-02  -1.7 7.95e-01    -  1.00e+00 1.00e+00h  1
+  45  1.5643467e+06 5.17e-03 3.07e+01  -3.8 3.28e+01    -  1.86e-01 2.41e-01f  1
+  46  1.5634789e+06 5.75e-03 2.11e+01  -3.8 2.30e+01    -  1.79e-01 1.69e-01f  1
+  47  1.5627486e+06 4.83e-03 4.26e+01  -3.8 1.52e+01    -  7.01e-02 1.48e-01f  1
+  48  1.5622045e+06 4.18e-03 1.67e+01  -3.8 1.44e+01    -  2.27e-01 1.27e-01f  1
+  49  1.5614560e+06 4.84e-03 3.48e+01  -3.8 1.47e+01    -  3.32e-01 1.84e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.5611346e+06 4.65e-03 6.46e+01  -3.8 1.05e+01    -  2.61e-01 9.12e-02f  1
+  51  1.5604334e+06 4.68e-03 3.77e+01  -3.8 1.06e+01    -  1.14e-01 2.04e-01f  1
+  52  1.5598782e+06 5.56e-03 5.45e+01  -3.8 8.19e+00    -  1.02e-01 2.05e-01f  1
+  53  1.5595964e+06 5.34e-03 4.90e+01  -3.8 7.33e+00    -  1.60e-01 1.22e-01f  1
+  54  1.5593079e+06 5.01e-03 4.22e+01  -3.8 5.90e+00    -  3.21e-01 1.39e-01f  1
+  55  1.5589374e+06 4.63e-03 4.21e+01  -3.8 4.95e+00    -  3.45e-01 2.02e-01f  1
+  56  1.5586673e+06 4.02e-03 4.06e+01  -3.8 3.98e+00    -  2.91e-01 1.86e-01f  1
+  57  1.5585241e+06 3.58e-03 4.27e+01  -3.8 3.38e+00    -  2.87e-01 1.24e-01f  1
+  58  1.5583693e+06 3.08e-03 3.70e+01  -3.8 5.18e+00    -  1.94e-01 1.60e-01f  1
+  59  1.5583007e+06 2.82e-03 4.26e+01  -3.8 4.48e+00    -  4.30e-01 9.06e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.5582003e+06 2.41e-03 3.98e+01  -3.8 4.28e+00    -  4.07e-01 1.57e-01h  1
+  61  1.5580594e+06 1.77e-03 3.18e+01  -3.8 4.74e+00    -  5.64e-01 2.83e-01h  1
+  62  1.5579932e+06 1.48e-03 2.70e+01  -3.8 4.21e+00    -  4.90e-01 2.01e-01h  1
+  63  1.5579033e+06 1.35e-03 1.90e+01  -3.8 3.38e+00    -  9.34e-01 3.63e-01h  1
+  64  1.5578603e+06 1.02e-03 1.35e+01  -3.8 1.82e+00    -  5.70e-01 3.06e-01h  1
+  65  1.5578286e+06 6.75e-04 8.93e+00  -3.8 1.07e+00    -  1.00e+00 3.52e-01h  1
+  66  1.5578031e+06 3.57e-04 4.82e+00  -3.8 5.65e-01    -  1.00e+00 4.72e-01h  1
+  67  1.5577755e+06 5.85e-05 5.80e-04  -3.8 3.02e-01    -  1.00e+00 1.00e+00h  1
+  68  1.5577759e+06 5.81e-07 2.88e-05  -3.8 2.15e-02    -  1.00e+00 1.00e+00h  1
+  69  1.5577562e+06 3.77e-05 1.19e+00  -5.7 5.56e-01    -  5.74e-01 4.30e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.5577517e+06 3.43e-05 2.87e+00  -5.7 4.46e-01    -  6.35e-01 1.81e-01h  1
+  71  1.5577405e+06 4.30e-05 1.56e+00  -5.7 4.18e-01    -  6.74e-01 5.32e-01h  1
+  72  1.5577373e+06 3.26e-05 1.16e+00  -5.7 2.29e-01    -  6.99e-01 3.42e-01h  1
+  73  1.5577342e+06 2.13e-05 6.54e-01  -5.7 1.64e-01    -  7.56e-01 5.07e-01h  1
+  74  1.5577315e+06 6.78e-06 1.95e-01  -5.7 9.36e-02    -  6.96e-01 9.42e-01h  1
+  75  1.5577313e+06 4.14e-07 6.44e-06  -5.7 1.16e-02    -  1.00e+00 1.00e+00h  1
+  76  1.5577313e+06 9.48e-09 9.24e-08  -5.7 1.51e-03    -  1.00e+00 1.00e+00h  1
+  77  1.5577309e+06 7.91e-07 6.54e-03  -7.0 1.94e-02    -  8.73e-01 8.57e-01f  1
+  78  1.5577308e+06 2.31e-07 1.25e-06  -7.0 7.42e-03    -  1.00e+00 1.00e+00h  1
+  79  1.5577308e+06 1.45e-08 1.38e-07  -7.0 1.03e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 79
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7277404463975519e+04    1.5577307864720328e+06
+Dual infeasibility......:   1.3806263165911114e-07    1.2447726870385460e-05
+Constraint violation....:   1.4539869576130765e-08    1.4539869576130765e-08
+Variable bound violation:   8.7169402362974324e-08    8.7169402362974324e-08
+Complementarity.........:   1.0701922658726664e-07    9.6488534691079609e-06
+Overall NLP error.......:   1.3806263165911114e-07    1.2447726870385460e-05
+
+
+Number of objective function evaluations             = 80
+Number of objective gradient evaluations             = 80
+Number of equality constraint evaluations            = 80
+Number of inequality constraint evaluations          = 80
+Number of equality constraint Jacobian evaluations   = 80
+Number of inequality constraint Jacobian evaluations = 80
+Number of Lagrangian Hessian evaluations             = 79
+Total seconds in IPOPT                               = 192.534
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-7822.log b/solver_log/opf_ForkPoolWorker-7822.log
new file mode 100644
index 0000000000000000000000000000000000000000..5a7f30db5c30fcb2c271d98148788105642aadaf
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-7822.log
@@ -0,0 +1,194 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.545
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581548
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2971354e+06 8.00e+00 5.66e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3047648e+06 7.89e+00 5.61e+01  -1.0 1.36e+01    -  6.27e-03 1.35e-02f  1
+   2  1.3133107e+06 7.71e+00 5.59e+01  -1.0 1.06e+01    -  5.40e-03 2.24e-02h  1
+   3  1.3203252e+06 7.56e+00 5.52e+01  -1.0 9.85e+00    -  1.50e-02 2.05e-02h  1
+   4  1.3329620e+06 7.28e+00 5.38e+01  -1.0 1.23e+01    -  2.79e-02 3.71e-02h  1
+   5  1.3482395e+06 6.97e+00 5.03e+01  -1.0 1.90e+01    -  5.97e-02 4.21e-02h  1
+   6  1.3719761e+06 6.54e+00 4.61e+01  -1.0 2.65e+01    -  7.90e-02 6.25e-02h  1
+   7  1.4101335e+06 5.89e+00 4.15e+01  -1.0 3.72e+01    -  1.00e-01 1.00e-01h  1
+   8  1.4507647e+06 5.25e+00 3.83e+01  -1.0 5.28e+01    -  8.27e-02 1.09e-01h  1
+   9  1.4886322e+06 4.68e+00 3.43e+01  -1.0 6.76e+01    -  1.05e-01 1.08e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5346068e+06 4.01e+00 3.08e+01  -1.0 7.98e+01    -  1.07e-01 1.44e-01h  1
+  11  1.5719459e+06 3.47e+00 2.54e+01  -1.0 9.17e+01    -  1.71e-01 1.37e-01h  1
+  12  1.6058261e+06 2.96e+00 2.36e+01  -1.0 9.78e+01    -  8.11e-02 1.47e-01h  1
+  13  1.6309822e+06 2.56e+00 2.12e+01  -1.0 1.03e+02    -  1.02e-01 1.33e-01h  1
+  14  1.6557663e+06 2.16e+00 1.76e+01  -1.0 1.22e+02    -  1.71e-01 1.58e-01h  1
+  15  1.6774057e+06 1.78e+00 1.46e+01  -1.0 1.48e+02    -  1.69e-01 1.77e-01h  1
+  16  1.6860030e+06 1.61e+00 1.30e+01  -1.0 1.86e+02    -  1.11e-01 9.84e-02h  1
+  17  1.6971256e+06 1.35e+00 1.03e+01  -1.0 2.12e+02    -  2.00e-01 1.64e-01h  1
+  18  1.7057840e+06 1.03e+00 9.44e+00  -1.0 2.60e+02    -  1.23e-01 2.41e-01h  1
+  19  1.7058239e+06 8.98e-01 7.78e+00  -1.0 3.24e+02    -  1.60e-01 1.25e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7041838e+06 7.74e-01 6.79e+00  -1.0 3.55e+02    -  1.31e-01 1.39e-01f  1
+  21  1.7006163e+06 6.53e-01 5.56e+00  -1.0 3.86e+02    -  1.73e-01 1.57e-01f  1
+  22  1.6966806e+06 5.70e-01 4.40e+01  -1.0 4.14e+02    -  1.86e-01 1.28e-01f  1
+  23  1.6918293e+06 4.89e-01 6.32e+01  -1.0 4.35e+02    -  1.83e-01 1.43e-01f  1
+  24  1.6900979e+06 4.63e-01 1.59e+02  -1.0 4.49e+02    -  2.21e-01 5.38e-02f  1
+  25  1.6814052e+06 3.27e-01 1.03e+02  -1.0 4.62e+02    -  2.77e-01 2.93e-01f  1
+  26  1.6774136e+06 2.74e-01 1.49e+02  -1.0 4.38e+02    -  2.86e-01 1.62e-01f  1
+  27  1.6765572e+06 2.56e-01 1.36e+02  -1.0 3.34e+02    -  1.46e-01 6.69e-02h  1
+  28  1.6754398e+06 2.14e-01 1.26e+02  -1.0 2.68e+02    -  2.63e-01 1.65e-01h  1
+  29  1.6750595e+06 1.57e-01 8.18e+01  -1.0 2.09e+02    -  1.85e-01 2.68e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6754627e+06 1.20e-01 1.11e+02  -1.0 1.35e+02    -  4.69e-01 2.40e-01h  1
+  31  1.6764208e+06 9.17e-02 1.82e+02  -1.0 8.34e+01    -  4.65e-01 2.36e-01h  1
+  32  1.6782621e+06 5.44e-02 1.42e+02  -1.0 6.88e+01    -  5.02e-01 4.23e-01h  1
+  33  1.6795488e+06 3.23e-02 4.13e+02  -1.0 6.99e+01    -  9.90e-01 4.44e-01h  1
+  34  1.6816630e+06 6.26e-03 2.51e+00  -1.0 1.67e+01    -  9.95e-01 1.00e+00h  1
+  35  1.6816880e+06 6.32e-04 3.59e-02  -1.0 4.62e+00    -  1.00e+00 1.00e+00h  1
+  36  1.6740262e+06 1.05e-02 9.83e+01  -2.5 9.16e+01    -  3.87e-01 3.48e-01f  1
+  37  1.6729764e+06 1.02e-02 4.35e+02  -2.5 7.74e+01    -  2.86e-01 6.26e-02f  1
+  38  1.6661634e+06 1.93e-02 9.14e+01  -2.5 7.71e+01    -  1.27e-01 3.99e-01f  1
+  39  1.6641722e+06 1.57e-02 9.22e+01  -2.5 4.35e+01    -  3.15e-01 1.85e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6633785e+06 1.43e-02 1.41e+02  -2.5 3.08e+01    -  1.78e-01 8.83e-02f  1
+  41  1.6614045e+06 1.11e-02 3.82e+01  -2.5 3.00e+01    -  7.36e-02 2.26e-01f  1
+  42  1.6604811e+06 9.66e-03 7.23e+01  -2.5 1.97e+01    -  2.25e-01 1.28e-01f  1
+  43  1.6594648e+06 8.08e-03 8.84e+01  -2.5 1.66e+01    -  2.38e-01 1.64e-01f  1
+  44  1.6581339e+06 6.14e-03 6.67e+01  -2.5 1.70e+01    -  2.40e-01 2.41e-01f  1
+  45  1.6572370e+06 6.71e-03 5.36e+01  -2.5 1.81e+01    -  1.91e-01 1.92e-01f  1
+  46  1.6564766e+06 5.35e-03 4.61e+01  -2.5 1.14e+01    -  2.20e-01 2.03e-01f  1
+  47  1.6557941e+06 4.50e-03 3.29e+01  -2.5 9.09e+00    -  1.82e-01 2.17e-01f  1
+  48  1.6549545e+06 4.66e-03 6.18e+01  -2.5 6.73e+00    -  1.84e-01 3.27e-01f  1
+  49  1.6544685e+06 3.92e-03 4.64e+01  -2.5 5.91e+00    -  2.39e-01 2.65e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6542604e+06 3.42e-03 3.75e+01  -2.5 4.53e+00    -  4.11e-01 1.54e-01h  1
+  51  1.6539706e+06 2.81e-03 2.82e+01  -2.5 4.14e+00    -  4.11e-01 2.48e-01h  1
+  52  1.6533191e+06 2.19e-03 2.91e+01  -2.5 3.01e+00    -  5.33e-01 7.46e-01h  1
+  53  1.6531036e+06 9.83e-04 1.19e-02  -2.5 1.15e+00    -  1.00e+00 1.00e+00h  1
+  54  1.6531051e+06 9.88e-05 1.75e-03  -2.5 4.87e-01    -  1.00e+00 1.00e+00h  1
+  55  1.6528482e+06 3.06e-04 1.37e+01  -3.8 4.72e+00    -  3.38e-01 2.02e-01f  1
+  56  1.6527723e+06 3.27e-04 2.26e+01  -3.8 4.84e+00    -  2.23e-01 7.97e-02f  1
+  57  1.6526384e+06 4.65e-04 3.03e+01  -3.8 4.24e+00    -  3.60e-01 1.55e-01f  1
+  58  1.6524922e+06 6.85e-04 2.17e+01  -3.8 3.28e+00    -  1.38e-01 2.04e-01f  1
+  59  1.6524243e+06 6.85e-04 2.53e+01  -3.8 3.22e+00    -  3.26e-01 1.24e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6523258e+06 7.74e-04 1.88e+01  -3.8 4.89e+00    -  1.66e-01 2.16e-01f  1
+  61  1.6522234e+06 8.75e-04 1.68e+01  -3.8 4.85e+00    -  4.75e-01 2.92e-01h  1
+  62  1.6521971e+06 8.12e-04 1.82e+01  -3.8 3.61e+00    -  4.18e-01 1.13e-01h  1
+  63  1.6521062e+06 9.53e-04 1.03e+01  -3.8 3.30e+00    -  4.87e-01 4.49e-01h  1
+  64  1.6520652e+06 7.01e-04 8.69e+00  -3.8 1.89e+00    -  1.00e+00 3.97e-01h  1
+  65  1.6520505e+06 5.24e-04 6.16e+00  -3.8 9.41e-01    -  1.00e+00 2.61e-01h  1
+  66  1.6520189e+06 2.02e-04 1.57e+00  -3.8 5.49e-01    -  1.00e+00 7.99e-01h  1
+  67  1.6520118e+06 1.04e-05 5.39e-05  -3.8 8.12e-02    -  1.00e+00 1.00e+00h  1
+  68  1.6519944e+06 4.83e-05 6.35e-01  -5.7 4.98e-01    -  3.49e-01 3.82e-01f  1
+  69  1.6519853e+06 1.66e-04 3.59e+00  -5.7 3.69e-01    -  5.49e-01 3.33e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6519772e+06 2.73e-04 2.82e+00  -5.7 2.88e-01    -  6.19e-01 4.44e-01h  1
+  71  1.6519702e+06 2.94e-04 1.40e+00  -5.7 1.89e-01    -  8.05e-01 6.95e-01h  1
+  72  1.6519677e+06 1.02e-04 3.74e-01  -5.7 1.01e-01    -  9.13e-01 8.26e-01h  1
+  73  1.6519672e+06 6.32e-06 2.67e-05  -5.7 3.12e-02    -  1.00e+00 1.00e+00h  1
+  74  1.6519672e+06 8.44e-08 3.80e-07  -5.7 4.77e-03    -  1.00e+00 1.00e+00h  1
+  75  1.6519668e+06 1.94e-06 1.19e-02  -7.0 2.22e-02    -  8.16e-01 8.02e-01h  1
+  76  1.6519667e+06 3.31e-07 5.54e-02  -7.0 9.31e-03    -  8.43e-01 1.00e+00h  1
+  77  1.6519667e+06 4.35e-08 1.59e-07  -7.0 2.69e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 77
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8322611491813164e+04    1.6519666521018748e+06
+Dual infeasibility......:   1.5881506554869183e-07    1.4318766309870054e-05
+Constraint violation....:   4.3526529769355449e-08    4.3526529769355449e-08
+Variable bound violation:   4.7879769482506163e-08    4.7879769482506163e-08
+Complementarity.........:   1.1711177268088433e-07    1.0558797424908531e-05
+Overall NLP error.......:   1.5881506554869183e-07    1.4318766309870054e-05
+
+
+Number of objective function evaluations             = 78
+Number of objective gradient evaluations             = 78
+Number of equality constraint evaluations            = 78
+Number of inequality constraint evaluations          = 78
+Number of equality constraint Jacobian evaluations   = 78
+Number of inequality constraint Jacobian evaluations = 78
+Number of Lagrangian Hessian evaluations             = 77
+Total seconds in IPOPT                               = 77.676
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-8237.log b/solver_log/opf_ForkPoolWorker-8237.log
new file mode 100644
index 0000000000000000000000000000000000000000..6005624da9de4a771fd6d5247562041c39177555
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-8237.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.149
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581539
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2898900e+06 1.13e+01 5.60e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2990019e+06 1.11e+01 5.58e+01  -1.0 1.34e+01    -  5.97e-03 1.52e-02f  1
+   2  1.3088190e+06 1.08e+01 5.59e+01  -1.0 1.08e+01    -  6.18e-03 2.32e-02h  1
+   3  1.3168000e+06 1.06e+01 5.53e+01  -1.0 1.02e+01    -  1.49e-02 2.03e-02h  1
+   4  1.3308785e+06 1.02e+01 5.40e+01  -1.0 1.35e+01    -  2.80e-02 3.55e-02h  1
+   5  1.3458075e+06 9.86e+00 5.00e+01  -1.0 2.04e+01    -  5.96e-02 3.63e-02h  1
+   6  1.3718022e+06 9.25e+00 4.41e+01  -1.0 2.71e+01    -  9.98e-02 6.19e-02h  1
+   7  1.4159740e+06 8.28e+00 3.76e+01  -1.0 3.76e+01    -  1.34e-01 1.06e-01h  1
+   8  1.4612100e+06 7.34e+00 3.25e+01  -1.0 5.33e+01    -  1.27e-01 1.14e-01h  1
+   9  1.5149020e+06 6.28e+00 2.98e+01  -1.0 6.68e+01    -  1.07e-01 1.46e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5477348e+06 5.63e+00 2.70e+01  -1.0 7.99e+01    -  9.70e-02 1.04e-01h  1
+  11  1.5890694e+06 4.81e+00 2.43e+01  -1.0 8.62e+01    -  1.19e-01 1.46e-01h  1
+  12  1.6203446e+06 4.17e+00 2.16e+01  -1.0 9.23e+01    -  1.19e-01 1.34e-01h  1
+  13  1.6449476e+06 3.64e+00 1.96e+01  -1.0 9.99e+01    -  1.06e-01 1.28e-01h  1
+  14  1.6741876e+06 2.96e+00 1.70e+01  -1.0 1.20e+02    -  1.50e-01 1.87e-01h  1
+  15  1.6903707e+06 2.51e+00 1.51e+01  -1.0 1.48e+02    -  1.27e-01 1.52e-01h  1
+  16  1.6981608e+06 2.25e+00 1.27e+01  -1.0 1.76e+02    -  1.37e-01 1.02e-01h  1
+  17  1.7100526e+06 1.78e+00 1.23e+01  -1.0 2.02e+02    -  1.00e-01 2.09e-01h  1
+  18  1.7130559e+06 1.52e+00 1.14e+01  -1.0 2.50e+02    -  9.51e-02 1.46e-01h  1
+  19  1.7132671e+06 1.40e+00 9.55e+00  -1.0 2.85e+02    -  1.38e-01 8.06e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7124674e+06 1.22e+00 8.30e+00  -1.0 3.10e+02    -  1.30e-01 1.28e-01h  1
+  21  1.7093279e+06 1.01e+00 8.01e+00  -1.0 3.38e+02    -  1.08e-01 1.71e-01f  1
+  22  1.7062813e+06 9.07e-01 6.01e+00  -1.0 3.75e+02    -  1.82e-01 1.03e-01f  1
+  23  1.6992610e+06 7.36e-01 6.67e+00  -1.0 4.05e+02    -  1.23e-01 1.89e-01f  1
+  24  1.6945005e+06 6.62e-01 1.05e+01  -1.0 4.41e+02    -  6.89e-02 1.01e-01f  1
+  25  1.6887428e+06 5.77e-01 8.63e+00  -1.0 4.33e+02    -  1.32e-01 1.29e-01f  1
+  26  1.6873261e+06 5.57e-01 1.43e+01  -1.0 4.17e+02    -  1.64e-01 3.41e-02f  1
+  27  1.6806880e+06 4.67e-01 3.66e+00  -1.0 4.22e+02    -  1.14e-01 1.62e-01f  1
+  28  1.6764432e+06 4.17e-01 5.66e+00  -1.0 4.15e+02    -  6.45e-02 1.07e-01f  1
+  29  1.6735881e+06 3.84e-01 5.10e+01  -1.0 3.91e+02    -  3.25e-01 8.02e-02f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6704016e+06 3.33e-01 4.93e+01  -1.0 2.98e+02    -  1.53e-01 1.32e-01f  1
+  31  1.6678087e+06 2.74e-01 3.20e+01  -1.0 2.55e+02    -  1.45e-01 1.77e-01f  1
+  32  1.6645401e+06 1.82e-01 1.44e+02  -1.0 1.84e+02    -  1.36e-01 3.39e-01h  1
+  33  1.6643318e+06 1.68e-01 1.24e+02  -1.0 8.26e+01    -  4.50e-01 7.76e-02h  1
+  34  1.6643671e+06 1.15e-01 2.52e+02  -1.0 7.98e+01    -  7.08e-01 3.17e-01h  1
+  35  1.6648771e+06 7.98e-02 1.55e+02  -1.0 3.71e+01    -  2.47e-01 3.10e-01h  1
+  36  1.6658800e+06 3.11e-02 2.05e+02  -1.0 2.74e+01    -  8.87e-01 6.29e-01h  1
+  37  1.6670027e+06 9.35e-03 1.55e+01  -1.0 9.14e+00    -  7.49e-01 8.13e-01h  1
+  38  1.6674800e+06 1.50e-03 4.70e+00  -1.0 4.36e+00    -  9.91e-01 1.00e+00h  1
+  39  1.6674375e+06 4.47e-04 1.15e-02  -1.0 1.61e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6614400e+06 5.77e-03 3.04e+02  -2.5 7.53e+01    -  4.12e-01 2.92e-01f  1
+  41  1.6580444e+06 6.45e-03 2.46e+02  -2.5 6.29e+01    -  2.17e-01 2.13e-01f  1
+  42  1.6549321e+06 8.53e-03 6.07e+01  -2.5 6.95e+01    -  1.21e-01 2.32e-01f  1
+  43  1.6537702e+06 8.17e-03 3.73e+01  -2.5 7.66e+01    -  8.98e-02 1.07e-01f  1
+  44  1.6526592e+06 7.75e-03 6.90e+01  -2.5 7.48e+01    -  1.52e-01 1.13e-01f  1
+  45  1.6512521e+06 7.56e-03 1.77e+02  -2.5 4.13e+01    -  3.12e-01 1.58e-01f  1
+  46  1.6493850e+06 8.01e-03 5.67e+01  -2.5 4.69e+01    -  7.38e-02 2.26e-01f  1
+  47  1.6479605e+06 7.61e-03 2.27e+01  -2.5 4.81e+01    -  1.66e-01 2.12e-01f  1
+  48  1.6476208e+06 7.22e-03 9.76e+01  -2.5 4.60e+01    -  2.51e-01 6.07e-02f  1
+  49  1.6454949e+06 1.56e-02 5.83e+01  -2.5 4.53e+01    -  8.15e-02 3.94e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6451816e+06 1.46e-02 7.74e+01  -2.5 3.21e+01    -  3.07e-01 8.80e-02f  1
+  51  1.6444822e+06 1.36e-02 4.66e+01  -2.5 2.98e+01    -  9.33e-02 1.97e-01f  1
+  52  1.6439838e+06 1.23e-02 3.73e+01  -2.5 2.45e+01    -  1.30e-01 1.69e-01f  1
+  53  1.6430887e+06 1.11e-02 2.48e+01  -2.5 2.00e+01    -  3.56e-01 3.37e-01f  1
+  54  1.6427352e+06 9.56e-03 2.07e+01  -2.5 1.33e+01    -  3.46e-01 1.78e-01f  1
+  55  1.6422169e+06 7.55e-03 1.44e+01  -2.5 1.10e+01    -  2.88e-01 3.01e-01f  1
+  56  1.6417186e+06 5.52e-03 1.40e+01  -2.5 8.95e+00    -  4.92e-01 3.98e-01f  1
+  57  1.6414994e+06 4.11e-03 2.46e+01  -2.5 5.44e+00    -  6.94e-01 2.88e-01h  1
+  58  1.6409891e+06 1.99e-03 2.42e+00  -2.5 3.99e+00    -  1.00e+00 9.34e-01h  1
+  59  1.6409613e+06 1.20e-04 1.20e-03  -2.5 3.80e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6406736e+06 6.77e-04 9.05e+00  -3.8 1.02e+01    -  2.91e-01 2.00e-01f  1
+  61  1.6404636e+06 1.40e-03 2.34e+01  -3.8 8.27e+00    -  3.99e-01 1.83e-01f  1
+  62  1.6403964e+06 1.38e-03 3.94e+01  -3.8 6.43e+00    -  4.44e-01 7.69e-02f  1
+  63  1.6402367e+06 1.32e-03 3.54e+01  -3.8 5.99e+00    -  3.58e-01 2.10e-01f  1
+  64  1.6401116e+06 1.26e-03 3.46e+01  -3.8 5.11e+00    -  5.92e-01 2.22e-01f  1
+  65  1.6400530e+06 1.08e-03 3.21e+01  -3.8 4.73e+00    -  4.48e-01 1.46e-01h  1
+  66  1.6399087e+06 9.38e-04 1.96e+01  -3.8 4.23e+00    -  7.57e-01 4.37e-01h  1
+  67  1.6398737e+06 7.67e-04 1.58e+01  -3.8 1.98e+00    -  5.58e-01 2.16e-01h  1
+  68  1.6398143e+06 4.80e-04 8.10e+00  -3.8 1.18e+00    -  6.59e-01 4.94e-01h  1
+  69  1.6397770e+06 2.11e-04 2.68e+00  -3.8 5.84e-01    -  8.64e-01 6.73e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6397662e+06 7.57e-05 4.15e+00  -3.8 1.81e-01    -  1.00e+00 6.70e-01h  1
+  71  1.6397614e+06 2.67e-06 2.47e-04  -3.8 8.39e-02    -  1.00e+00 1.00e+00h  1
+  72  1.6397500e+06 2.30e-05 3.60e+00  -5.7 5.68e-01    -  5.35e-01 2.47e-01f  1
+  73  1.6397371e+06 5.98e-05 3.06e+00  -5.7 4.56e-01    -  4.90e-01 3.78e-01h  1
+  74  1.6397270e+06 8.33e-05 2.18e+00  -5.7 3.37e-01    -  6.15e-01 4.88e-01h  1
+  75  1.6397250e+06 6.92e-05 2.48e+00  -5.7 2.17e-01    -  3.61e-01 1.89e-01h  1
+  76  1.6397200e+06 4.01e-05 6.98e-01  -5.7 1.90e-01    -  4.75e-01 5.90e-01h  1
+  77  1.6397174e+06 2.37e-05 3.87e-01  -5.7 9.89e-02    -  9.07e-01 7.77e-01h  1
+  78  1.6397167e+06 5.52e-06 3.70e-05  -5.7 3.82e-02    -  1.00e+00 1.00e+00h  1
+  79  1.6397167e+06 9.43e-08 5.35e-07  -5.7 1.02e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6397163e+06 7.78e-07 4.60e-02  -7.0 3.05e-02    -  8.32e-01 7.29e-01h  1
+  81  1.6397162e+06 4.11e-07 1.49e-02  -7.0 2.07e-02    -  1.00e+00 9.30e-01h  1
+  82  1.6397162e+06 3.65e-08 3.63e-07  -7.0 8.47e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8186736394056334e+04    1.6397161532881190e+06
+Dual infeasibility......:   3.6309304143658833e-07    3.2736468615922806e-05
+Constraint violation....:   3.6537363543986262e-08    3.6537363543986262e-08
+Variable bound violation:   9.9654412721861263e-08    9.9654412721861263e-08
+Complementarity.........:   1.1563941164774530e-07    1.0426049354160717e-05
+Overall NLP error.......:   3.6309304143658833e-07    3.2736468615922806e-05
+
+
+Number of objective function evaluations             = 83
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 83
+Number of inequality constraint evaluations          = 83
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 77.871
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-8710.log b/solver_log/opf_ForkPoolWorker-8710.log
new file mode 100644
index 0000000000000000000000000000000000000000..30ace020de06e9f6fc12cdb023f81145c3fb88bb
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-8710.log
@@ -0,0 +1,201 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.484
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581537
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3248589e+06 8.92e+00 4.84e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3344060e+06 8.80e+00 4.86e+01  -1.0 1.41e+01    -  5.52e-03 1.38e-02f  1
+   2  1.3429656e+06 8.64e+00 4.90e+01  -1.0 1.08e+01    -  5.96e-03 1.77e-02h  1
+   3  1.3516793e+06 8.46e+00 4.89e+01  -1.0 9.89e+00    -  1.22e-02 2.09e-02h  1
+   4  1.3666151e+06 8.16e+00 4.80e+01  -1.0 1.18e+01    -  2.71e-02 3.55e-02h  1
+   5  1.3816352e+06 7.89e+00 4.47e+01  -1.0 1.84e+01    -  5.08e-02 3.33e-02h  1
+   6  1.4089016e+06 7.44e+00 3.88e+01  -1.0 2.44e+01    -  9.40e-02 5.77e-02h  1
+   7  1.4544400e+06 6.73e+00 3.61e+01  -1.0 3.47e+01    -  8.39e-02 9.57e-02h  1
+   8  1.4983881e+06 6.09e+00 3.21e+01  -1.0 5.10e+01    -  1.03e-01 9.52e-02h  1
+   9  1.5496528e+06 5.40e+00 3.17e+01  -1.0 6.57e+01    -  6.01e-02 1.14e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5975383e+06 4.77e+00 2.85e+01  -1.0 8.10e+01    -  1.08e-01 1.17e-01h  1
+  11  1.6377587e+06 4.26e+00 2.48e+01  -1.0 9.39e+01    -  1.21e-01 1.08e-01h  1
+  12  1.6790206e+06 3.73e+00 2.31e+01  -1.0 1.01e+02    -  9.20e-02 1.25e-01h  1
+  13  1.7150742e+06 3.26e+00 2.02e+01  -1.0 1.03e+02    -  1.27e-01 1.25e-01h  1
+  14  1.7622233e+06 2.64e+00 1.93e+01  -1.0 1.02e+02    -  1.04e-01 1.90e-01h  1
+  15  1.7860052e+06 2.30e+00 1.68e+01  -1.0 1.23e+02    -  1.29e-01 1.28e-01h  1
+  16  1.8078418e+06 1.96e+00 1.62e+01  -1.0 1.43e+02    -  7.44e-02 1.48e-01h  1
+  17  1.8178267e+06 1.78e+00 1.32e+01  -1.0 1.69e+02    -  1.54e-01 9.19e-02h  1
+  18  1.8269986e+06 1.59e+00 1.17e+01  -1.0 1.92e+02    -  1.12e-01 1.08e-01h  1
+  19  1.8387389e+06 1.28e+00 9.38e+00  -1.0 2.16e+02    -  1.99e-01 1.94e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.8408237e+06 1.17e+00 8.36e+00  -1.0 2.61e+02    -  1.03e-01 8.86e-02h  1
+  21  1.8427700e+06 9.50e-01 3.83e+01  -1.0 2.79e+02    -  1.33e-01 1.87e-01h  1
+  22  1.8417840e+06 8.48e-01 6.03e+00  -1.0 3.19e+02    -  1.72e-01 1.07e-01h  1
+  23  1.8392195e+06 7.15e-01 6.00e+01  -1.0 3.41e+02    -  2.49e-01 1.56e-01f  1
+  24  1.8353199e+06 6.10e-01 2.21e+01  -1.0 3.72e+02    -  7.97e-02 1.47e-01f  1
+  25  1.8307008e+06 5.14e-01 9.31e+00  -1.0 3.80e+02    -  1.36e-01 1.57e-01f  1
+  26  1.8284858e+06 4.73e-01 3.27e+01  -1.0 3.64e+02    -  1.61e-01 8.03e-02f  1
+  27  1.8245028e+06 3.92e-01 3.16e+01  -1.0 3.53e+02    -  1.87e-01 1.72e-01f  1
+  28  1.8206596e+06 3.15e-01 1.41e+01  -1.0 2.98e+02    -  7.59e-02 1.96e-01f  1
+  29  1.8203207e+06 3.04e-01 4.07e+01  -1.0 1.87e+02    -  1.80e-01 3.48e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.8193547e+06 2.41e-01 1.03e+01  -1.0 1.52e+02    -  1.77e-01 2.08e-01h  1
+  31  1.8193010e+06 2.24e-01 2.50e+01  -1.0 1.12e+02    -  1.02e-01 7.21e-02h  1
+  32  1.8194744e+06 1.81e-01 4.01e+01  -1.0 1.28e+02    -  2.39e-01 1.96e-01h  1
+  33  1.8195973e+06 1.65e-01 5.40e+01  -1.0 1.12e+02    -  1.42e-01 8.86e-02h  1
+  34  1.8211637e+06 1.22e-01 5.53e+01  -1.0 1.25e+02    -  3.24e-01 2.65e-01h  1
+  35  1.8238145e+06 7.25e-02 2.19e+01  -1.0 4.85e+01    -  2.96e-01 4.12e-01h  1
+  36  1.8257331e+06 4.98e-02 1.17e+01  -1.0 8.94e+01    -  5.05e-01 4.70e-01h  1
+  37  1.8265493e+06 3.57e-02 3.61e+02  -1.0 5.00e+01    -  7.64e-01 3.16e-01h  1
+  38  1.8280775e+06 9.39e-03 2.38e+02  -1.0 2.36e+01    -  9.90e-01 7.46e-01h  1
+  39  1.8287337e+06 8.49e-04 5.77e-02  -1.0 7.18e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.8195485e+06 6.92e-03 2.77e+02  -2.5 7.70e+01    -  5.20e-01 4.07e-01f  1
+  41  1.8172523e+06 7.70e-03 2.34e+02  -2.5 6.24e+01    -  1.36e-01 1.40e-01f  1
+  42  1.8151853e+06 8.57e-03 1.81e+02  -2.5 6.21e+01    -  1.24e-01 1.43e-01f  1
+  43  1.8137335e+06 8.84e-03 3.02e+02  -2.5 5.05e+01    -  2.72e-01 1.10e-01f  1
+  44  1.8116111e+06 9.42e-03 2.00e+02  -2.5 3.96e+01    -  1.11e-01 1.85e-01f  1
+  45  1.8100239e+06 9.16e-03 1.72e+02  -2.5 3.97e+01    -  1.61e-01 1.55e-01f  1
+  46  1.8085645e+06 8.71e-03 1.36e+02  -2.5 3.52e+01    -  1.45e-01 1.63e-01f  1
+  47  1.8075458e+06 8.06e-03 1.30e+02  -2.5 3.17e+01    -  1.58e-01 1.29e-01f  1
+  48  1.8069061e+06 7.51e-03 1.59e+02  -2.5 2.86e+01    -  2.10e-01 8.89e-02f  1
+  49  1.8059341e+06 6.67e-03 1.45e+02  -2.5 2.36e+01    -  1.83e-01 1.47e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.8053957e+06 6.11e-03 1.89e+02  -2.5 2.24e+01    -  3.32e-01 9.26e-02f  1
+  51  1.8042598e+06 5.18e-03 1.29e+02  -2.5 2.46e+01    -  8.54e-02 2.05e-01f  1
+  52  1.8030880e+06 4.40e-03 9.77e+01  -2.5 1.91e+01    -  2.73e-01 2.59e-01f  1
+  53  1.8025383e+06 4.33e-03 8.81e+01  -2.5 1.46e+01    -  2.01e-01 1.57e-01f  1
+  54  1.8017664e+06 4.99e-03 1.08e+02  -2.5 1.12e+01    -  4.07e-01 2.66e-01f  1
+  55  1.8012482e+06 4.63e-03 7.31e+01  -2.5 1.07e+01    -  3.99e-01 2.33e-01f  1
+  56  1.8008972e+06 3.88e-03 5.79e+01  -2.5 7.91e+00    -  2.13e-01 2.10e-01f  1
+  57  1.8005153e+06 2.79e-03 4.97e+01  -2.5 6.27e+00    -  5.08e-01 2.86e-01f  1
+  58  1.7999203e+06 2.26e-03 1.79e+01  -2.5 4.05e+00    -  6.68e-01 6.48e-01h  1
+  59  1.7996227e+06 4.01e-04 7.02e-01  -2.5 1.29e+00    -  9.35e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7996286e+06 8.96e-05 8.22e-04  -2.5 2.21e-01    -  1.00e+00 1.00e+00h  1
+  61  1.7993349e+06 3.50e-04 4.58e+00  -3.8 5.54e+00    -  2.67e-01 2.21e-01f  1
+  62  1.7992008e+06 3.85e-04 2.03e+01  -3.8 4.69e+00    -  3.51e-01 1.38e-01f  1
+  63  1.7990675e+06 4.52e-04 2.49e+01  -3.8 5.57e+00    -  3.16e-01 1.66e-01f  1
+  64  1.7989322e+06 5.66e-04 2.69e+01  -3.8 4.75e+00    -  4.03e-01 2.13e-01f  1
+  65  1.7988731e+06 5.54e-04 2.71e+01  -3.8 2.96e+00    -  2.87e-01 1.31e-01h  1
+  66  1.7987439e+06 8.77e-04 1.72e+01  -3.8 2.56e+00    -  2.87e-01 3.35e-01f  1
+  67  1.7986743e+06 9.08e-04 1.58e+01  -3.8 1.92e+00    -  5.64e-01 2.88e-01h  1
+  68  1.7986402e+06 7.78e-04 1.64e+01  -3.8 1.39e+00    -  9.05e-01 2.11e-01h  1
+  69  1.7985799e+06 5.54e-04 8.49e+00  -3.8 9.88e-01    -  6.30e-01 4.88e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.7985521e+06 3.02e-04 6.15e+00  -3.8 4.59e-01    -  8.92e-01 5.01e-01h  1
+  71  1.7985290e+06 5.78e-05 9.99e-01  -3.8 2.08e-01    -  1.00e+00 8.65e-01h  1
+  72  1.7985258e+06 1.64e-06 7.53e-05  -3.8 2.50e-02    -  1.00e+00 1.00e+00h  1
+  73  1.7985056e+06 4.36e-05 2.09e+00  -5.7 3.89e-01    -  2.77e-01 4.44e-01f  1
+  74  1.7984981e+06 4.06e-05 1.41e+00  -5.7 2.70e-01    -  5.47e-01 3.04e-01h  1
+  75  1.7984937e+06 3.56e-05 3.24e+00  -5.7 2.32e-01    -  5.86e-01 2.53e-01h  1
+  76  1.7984862e+06 3.56e-05 1.64e+00  -5.7 2.05e-01    -  6.74e-01 5.79e-01h  1
+  77  1.7984835e+06 2.23e-05 9.45e-01  -5.7 1.15e-01    -  7.03e-01 5.02e-01h  1
+  78  1.7984816e+06 9.96e-06 4.51e-01  -5.7 8.20e-02    -  1.00e+00 7.07e-01f  1
+  79  1.7984808e+06 1.09e-06 3.10e-05  -5.7 3.55e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.7984808e+06 2.38e-08 1.71e-07  -5.7 2.12e-03    -  1.00e+00 1.00e+00h  1
+  81  1.7984805e+06 2.97e-07 6.69e-02  -7.0 2.15e-02    -  8.13e-01 7.24e-01h  1
+  82  1.7984803e+06 2.27e-07 2.26e-06  -7.0 7.88e-03    -  1.00e+00 1.00e+00h  1
+  83  1.7984803e+06 1.77e-08 3.43e-07  -7.0 1.32e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 83
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9947652045197945e+04    1.7984803083950467e+06
+Dual infeasibility......:   3.4258295253151307e-07    3.0887279000241215e-05
+Constraint violation....:   1.7724643872410462e-08    1.7724643872410462e-08
+Variable bound violation:   1.2407056715346698e-07    1.2407056715346698e-07
+Complementarity.........:   1.1222237224722393e-07    1.0117969081809709e-05
+Overall NLP error.......:   3.4258295253151307e-07    3.0887279000241215e-05
+
+
+Number of objective function evaluations             = 84
+Number of objective gradient evaluations             = 84
+Number of equality constraint evaluations            = 84
+Number of inequality constraint evaluations          = 84
+Number of equality constraint Jacobian evaluations   = 84
+Number of inequality constraint Jacobian evaluations = 84
+Number of Lagrangian Hessian evaluations             = 83
+Total seconds in IPOPT                               = 69.797
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-8744.log b/solver_log/opf_ForkPoolWorker-8744.log
new file mode 100644
index 0000000000000000000000000000000000000000..b6778a6bf3c899b3fbb0cc9915d34977313debf6
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-8744.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.697
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581536
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3237853e+06 8.79e+00 6.18e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3315450e+06 8.65e+00 6.13e+01  -1.0 1.28e+01    -  6.22e-03 1.54e-02f  1
+   2  1.3361673e+06 8.54e+00 6.10e+01  -1.0 1.05e+01    -  6.35e-03 1.36e-02f  1
+   3  1.3435282e+06 8.33e+00 6.03e+01  -1.0 1.00e+01    -  1.38e-02 2.41e-02h  1
+   4  1.3555616e+06 8.03e+00 5.88e+01  -1.0 1.15e+01    -  2.82e-02 3.68e-02h  1
+   5  1.3702022e+06 7.69e+00 5.44e+01  -1.0 1.83e+01    -  6.69e-02 4.14e-02h  1
+   6  1.3938257e+06 7.20e+00 4.64e+01  -1.0 2.56e+01    -  1.28e-01 6.44e-02h  1
+   7  1.4386320e+06 6.33e+00 4.21e+01  -1.0 3.62e+01    -  1.00e-01 1.22e-01h  1
+   8  1.4769514e+06 5.62e+00 3.45e+01  -1.0 5.41e+01    -  1.65e-01 1.12e-01h  1
+   9  1.5262547e+06 4.76e+00 3.20e+01  -1.0 6.76e+01    -  9.02e-02 1.54e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5570242e+06 4.22e+00 2.66e+01  -1.0 8.18e+01    -  1.57e-01 1.14e-01h  1
+  11  1.5995114e+06 3.48e+00 2.35e+01  -1.0 8.83e+01    -  1.31e-01 1.76e-01h  1
+  12  1.6238314e+06 3.03e+00 2.20e+01  -1.0 9.71e+01    -  7.67e-02 1.29e-01h  1
+  13  1.6439025e+06 2.64e+00 2.02e+01  -1.0 1.14e+02    -  9.11e-02 1.29e-01h  1
+  14  1.6685157e+06 2.11e+00 1.94e+01  -1.0 1.34e+02    -  6.13e-02 2.00e-01h  1
+  15  1.6785465e+06 1.85e+00 1.62e+01  -1.0 1.59e+02    -  1.61e-01 1.24e-01h  1
+  16  1.6845141e+06 1.67e+00 1.42e+01  -1.0 1.78e+02    -  1.17e-01 9.72e-02h  1
+  17  1.6944401e+06 1.29e+00 1.39e+01  -1.0 2.05e+02    -  5.89e-02 2.30e-01h  1
+  18  1.6954004e+06 1.12e+00 1.19e+01  -1.0 2.55e+02    -  1.41e-01 1.30e-01h  1
+  19  1.6941182e+06 9.81e-01 1.11e+01  -1.0 2.83e+02    -  8.61e-02 1.25e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.6917688e+06 8.75e-01 8.55e+00  -1.0 3.05e+02    -  2.00e-01 1.09e-01f  1
+  21  1.6886494e+06 7.94e-01 8.06e+00  -1.0 3.36e+02    -  6.62e-02 9.24e-02f  1
+  22  1.6852506e+06 7.24e-01 7.20e+00  -1.0 3.43e+02    -  1.02e-01 8.88e-02f  1
+  23  1.6791554e+06 6.20e-01 6.11e+00  -1.0 3.53e+02    -  1.50e-01 1.45e-01f  1
+  24  1.6705483e+06 5.13e-01 6.81e+00  -1.0 3.81e+02    -  1.38e-01 1.75e-01f  1
+  25  1.6661072e+06 4.70e-01 1.30e+01  -1.0 3.97e+02    -  1.72e-01 8.54e-02f  1
+  26  1.6642205e+06 4.48e-01 3.61e+01  -1.0 3.74e+02    -  1.55e-01 4.69e-02f  1
+  27  1.6583754e+06 3.77e-01 2.15e+01  -1.0 3.79e+02    -  1.22e-01 1.60e-01f  1
+  28  1.6537853e+06 3.25e-01 3.19e+01  -1.0 3.61e+02    -  2.06e-01 1.40e-01f  1
+  29  1.6508301e+06 2.80e-01 8.89e+01  -1.0 2.70e+02    -  2.38e-01 1.40e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6479836e+06 2.28e-01 3.40e+01  -1.0 2.27e+02    -  1.36e-01 1.90e-01f  1
+  31  1.6468863e+06 1.98e-01 2.35e+02  -1.0 1.60e+02    -  4.50e-01 1.33e-01h  1
+  32  1.6451176e+06 1.14e-01 7.23e+01  -1.0 1.20e+02    -  2.87e-01 4.42e-01H  1
+  33  1.6445850e+06 9.37e-02 2.60e+02  -1.0 1.17e+02    -  7.49e-01 2.52e-01h  1
+  34  1.6451090e+06 6.29e-02 1.19e+02  -1.0 9.55e+01    -  2.77e-01 3.67e-01h  1
+  35  1.6454907e+06 4.21e-02 1.94e+02  -1.0 1.15e+02    -  6.06e-01 4.10e-01h  1
+  36  1.6460084e+06 2.14e-02 4.10e+02  -1.0 2.78e+01    -  9.90e-01 5.00e-01h  1
+  37  1.6465842e+06 4.30e-03 1.10e-01  -1.0 1.31e+01    -  1.00e+00 1.00e+00h  1
+  38  1.6388862e+06 2.15e-02 7.69e+01  -1.7 6.82e+01    -  3.93e-01 4.34e-01f  1
+  39  1.6359187e+06 2.03e-02 1.56e+01  -1.7 5.13e+01    -  2.87e-01 2.50e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6327837e+06 1.39e-02 1.14e+02  -1.7 3.90e+01    -  2.22e-01 3.48e-01f  1
+  41  1.6301449e+06 8.61e-03 1.94e+02  -1.7 2.72e+01    -  2.16e-01 4.16e-01f  1
+  42  1.6288594e+06 7.01e-03 1.24e+02  -1.7 1.87e+01    -  6.43e-01 3.25e-01f  1
+  43  1.6271755e+06 3.64e-03 7.48e+01  -1.7 1.30e+01    -  2.48e-01 5.31e-01f  1
+  44  1.6260910e+06 1.01e-03 4.70e+01  -1.7 5.56e+00    -  4.50e-01 7.44e-01h  1
+  45  1.6257311e+06 7.24e-04 9.76e-02  -1.7 3.05e+00    -  1.00e+00 1.00e+00h  1
+  46  1.6246294e+06 1.09e-03 1.81e+00  -2.5 2.24e+01    -  2.01e-01 1.97e-01f  1
+  47  1.6238134e+06 1.87e-03 1.58e+01  -2.5 2.77e+01    -  1.38e-01 1.85e-01f  1
+  48  1.6234667e+06 1.93e-03 1.07e+02  -2.5 2.78e+01    -  2.02e-01 8.94e-02f  1
+  49  1.6222987e+06 3.88e-03 1.51e+01  -2.5 2.49e+01    -  2.27e-01 3.01e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6216729e+06 3.78e-03 3.70e+01  -2.5 1.64e+01    -  2.58e-01 2.10e-01f  1
+  51  1.6210010e+06 3.58e-03 2.05e+01  -2.5 1.20e+01    -  2.29e-01 2.64e-01f  1
+  52  1.6205515e+06 3.15e-03 1.65e+01  -2.5 7.19e+00    -  1.91e-01 2.32e-01f  1
+  53  1.6200769e+06 2.62e-03 1.18e+01  -2.5 5.93e+00    -  4.30e-01 3.09e-01f  1
+  54  1.6195427e+06 2.83e-03 1.36e+01  -2.5 4.74e+00    -  6.05e-01 4.76e-01f  1
+  55  1.6191947e+06 2.13e-03 2.57e+00  -2.5 2.55e+00    -  4.48e-01 5.60e-01h  1
+  56  1.6189253e+06 8.00e-04 1.71e+01  -2.5 1.16e+00    -  5.24e-01 1.00e+00h  1
+  57  1.6189283e+06 1.73e-05 1.71e-03  -2.5 1.58e-01    -  1.00e+00 1.00e+00h  1
+  58  1.6187132e+06 3.65e-04 4.06e+00  -3.8 4.60e+00    -  1.89e-01 1.62e-01f  1
+  59  1.6184839e+06 1.02e-03 6.71e+00  -3.8 6.77e+00    -  2.59e-01 2.03e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6182727e+06 1.54e-03 1.69e+01  -3.8 5.43e+00    -  4.25e-01 2.37e-01f  1
+  61  1.6182197e+06 1.47e-03 3.07e+01  -3.8 3.32e+00    -  4.65e-01 8.18e-02h  1
+  62  1.6181152e+06 1.45e-03 2.49e+01  -3.8 2.95e+00    -  1.82e-01 1.86e-01f  1
+  63  1.6180099e+06 1.38e-03 2.06e+01  -3.8 2.62e+00    -  3.31e-01 2.40e-01h  1
+  64  1.6179482e+06 1.27e-03 1.97e+01  -3.8 2.30e+00    -  4.31e-01 1.95e-01h  1
+  65  1.6178821e+06 1.12e-03 1.86e+01  -3.8 2.02e+00    -  8.52e-01 2.78e-01h  1
+  66  1.6178401e+06 8.90e-04 1.40e+01  -3.8 1.55e+00    -  4.79e-01 2.65e-01h  1
+  67  1.6178036e+06 6.42e-04 1.06e+01  -3.8 1.24e+00    -  1.00e+00 3.34e-01h  1
+  68  1.6177832e+06 4.62e-04 1.41e+01  -3.8 9.35e-01    -  9.08e-01 3.10e-01h  1
+  69  1.6177607e+06 2.40e-04 4.33e+00  -3.8 6.49e-01    -  1.00e+00 5.18e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6177409e+06 3.52e-05 3.53e-04  -3.8 3.09e-01    -  1.00e+00 1.00e+00h  1
+  71  1.6177410e+06 5.12e-07 1.58e-05  -3.8 1.33e-02    -  1.00e+00 1.00e+00h  1
+  72  1.6177251e+06 5.89e-05 8.37e-01  -5.7 7.60e-01    -  4.38e-01 3.48e-01f  1
+  73  1.6177168e+06 6.74e-05 1.27e+00  -5.7 5.54e-01    -  4.04e-01 2.84e-01h  1
+  74  1.6177083e+06 7.87e-05 1.13e+00  -5.7 4.43e-01    -  4.48e-01 4.03e-01h  1
+  75  1.6177035e+06 6.63e-05 2.29e+00  -5.7 3.03e-01    -  6.24e-01 3.87e-01h  1
+  76  1.6176991e+06 4.98e-05 9.49e-01  -5.7 2.15e-01    -  5.83e-01 5.84e-01h  1
+  77  1.6176969e+06 2.19e-05 5.19e-01  -5.7 1.06e-01    -  8.75e-01 6.97e-01h  1
+  78  1.6176961e+06 3.44e-06 2.92e-01  -5.7 4.68e-02    -  1.00e+00 8.70e-01h  1
+  79  1.6176960e+06 1.46e-07 1.20e-06  -5.7 1.14e-02    -  1.00e+00 1.00e+00f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6176957e+06 3.39e-07 3.96e-01  -7.0 2.41e-02    -  8.03e-01 5.55e-01h  1
+  81  1.6176955e+06 5.49e-07 8.99e-02  -7.0 1.35e-02    -  1.00e+00 8.97e-01h  1
+  82  1.6176955e+06 1.55e-07 4.71e-07  -7.0 2.10e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.7942496606940273e+04    1.6176954940817349e+06
+Dual infeasibility......:   4.7079058856082471e-07    4.2446479464643952e-05
+Constraint violation....:   1.5458419062169826e-07    1.5458419062169826e-07
+Variable bound violation:   5.3427044122145162e-08    5.3427044122145162e-08
+Complementarity.........:   1.2327623313282927e-07    1.1114585179255886e-05
+Overall NLP error.......:   4.7079058856082471e-07    4.2446479464643952e-05
+
+
+Number of objective function evaluations             = 84
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 84
+Number of inequality constraint evaluations          = 84
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 93.322
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-8918.log b/solver_log/opf_ForkPoolWorker-8918.log
new file mode 100644
index 0000000000000000000000000000000000000000..71ec0ccd14a6df67805419b6d5bc1ffb05bfacbe
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-8918.log
@@ -0,0 +1,198 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.604
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581540
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3838303e+06 9.03e+00 6.40e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3919759e+06 8.92e+00 6.35e+01  -1.0 1.44e+01    -  5.06e-03 1.16e-02f  1
+   2  1.3975488e+06 8.82e+00 6.31e+01  -1.0 1.19e+01    -  6.09e-03 1.10e-02f  1
+   3  1.4058664e+06 8.66e+00 6.26e+01  -1.0 1.12e+01    -  9.83e-03 1.91e-02h  1
+   4  1.4201170e+06 8.38e+00 6.13e+01  -1.0 1.14e+01    -  2.26e-02 3.20e-02h  1
+   5  1.4354506e+06 8.12e+00 5.82e+01  -1.0 1.88e+01    -  4.65e-02 3.16e-02h  1
+   6  1.4606994e+06 7.71e+00 5.37e+01  -1.0 2.58e+01    -  7.15e-02 4.99e-02h  1
+   7  1.5022792e+06 7.09e+00 4.97e+01  -1.0 3.64e+01    -  7.58e-02 8.15e-02h  1
+   8  1.5461801e+06 6.47e+00 4.53e+01  -1.0 5.20e+01    -  8.85e-02 8.80e-02h  1
+   9  1.5925865e+06 5.86e+00 4.23e+01  -1.0 6.63e+01    -  7.30e-02 9.52e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.6452857e+06 5.18e+00 3.84e+01  -1.0 7.93e+01    -  9.66e-02 1.16e-01h  1
+  11  1.6809225e+06 4.73e+00 3.34e+01  -1.0 9.21e+01    -  1.23e-01 8.69e-02h  1
+  12  1.7321656e+06 4.10e+00 3.05e+01  -1.0 9.91e+01    -  9.34e-02 1.35e-01h  1
+  13  1.7737798e+06 3.58e+00 2.70e+01  -1.0 1.06e+02    -  1.16e-01 1.26e-01h  1
+  14  1.8177247e+06 3.03e+00 2.43e+01  -1.0 1.08e+02    -  1.04e-01 1.54e-01h  1
+  15  1.8482243e+06 2.63e+00 2.12e+01  -1.0 1.08e+02    -  1.29e-01 1.34e-01h  1
+  16  1.8756644e+06 2.24e+00 1.92e+01  -1.0 1.27e+02    -  9.87e-02 1.47e-01h  1
+  17  1.8920659e+06 1.99e+00 1.67e+01  -1.0 1.50e+02    -  1.26e-01 1.11e-01h  1
+  18  1.9092126e+06 1.71e+00 1.55e+01  -1.0 1.76e+02    -  8.11e-02 1.41e-01h  1
+  19  1.9213990e+06 1.47e+00 1.41e+01  -1.0 2.06e+02    -  9.26e-02 1.40e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.9314188e+06 1.23e+00 1.22e+01  -1.0 2.37e+02    -  1.39e-01 1.63e-01h  1
+  21  1.9374462e+06 1.01e+00 1.06e+01  -1.0 2.73e+02    -  1.38e-01 1.75e-01h  1
+  22  1.9379788e+06 9.67e-01 2.59e+01  -1.0 3.09e+02    -  1.64e-01 4.76e-02h  1
+  23  1.9386613e+06 8.01e-01 2.84e+01  -1.0 3.28e+02    -  1.79e-01 1.71e-01h  1
+  24  1.9369672e+06 6.86e-01 3.84e+01  -1.0 3.62e+02    -  1.63e-01 1.43e-01h  1
+  25  1.9349785e+06 6.21e-01 9.83e+01  -1.0 3.84e+02    -  1.87e-01 9.52e-02f  1
+  26  1.9312464e+06 5.14e-01 5.49e+01  -1.0 3.89e+02    -  1.27e-01 1.72e-01f  1
+  27  1.9281313e+06 4.48e-01 3.87e+01  -1.0 3.83e+02    -  1.01e-01 1.27e-01f  1
+  28  1.9253794e+06 3.92e-01 2.94e+01  -1.0 3.54e+02    -  9.06e-02 1.27e-01f  1
+  29  1.9217185e+06 3.17e-01 2.35e+01  -1.0 2.99e+02    -  1.80e-01 1.91e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.9213601e+06 3.02e-01 4.04e+01  -1.0 1.77e+02    -  2.22e-01 4.86e-02h  1
+  31  1.9211091e+06 2.58e-01 8.40e+01  -1.0 1.50e+02    -  2.43e-01 1.47e-01h  1
+  32  1.9213946e+06 2.23e-01 6.58e+01  -1.0 1.38e+02    -  1.16e-01 1.35e-01h  1
+  33  1.9217402e+06 1.95e-01 6.06e+01  -1.0 1.28e+02    -  1.39e-01 1.27e-01h  1
+  34  1.9222076e+06 1.42e-01 4.51e+01  -1.0 1.19e+02    -  2.88e-01 2.79e-01h  1
+  35  1.9226362e+06 1.25e-01 1.53e+02  -1.0 1.25e+02    -  4.11e-01 1.21e-01h  1
+  36  1.9240579e+06 8.62e-02 2.38e+02  -1.0 1.28e+02    -  6.25e-01 3.20e-01h  1
+  37  1.9264994e+06 4.17e-02 4.51e+01  -1.0 1.08e+02    -  2.71e-01 5.30e-01h  1
+  38  1.9272215e+06 3.07e-02 5.30e+02  -1.0 6.77e+01    -  9.90e-01 2.64e-01h  1
+  39  1.9297464e+06 1.35e-02 2.60e+00  -1.0 3.53e+01    -  9.94e-01 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.9297951e+06 1.68e-04 2.06e-02  -1.0 3.36e+00    -  1.00e+00 1.00e+00h  1
+  41  1.9250757e+06 2.75e-03 8.30e+02  -2.5 8.03e+01    -  5.35e-01 2.06e-01f  1
+  42  1.9238127e+06 2.67e-03 8.26e+02  -2.5 9.36e+01    -  1.08e-01 6.51e-02f  1
+  43  1.9178766e+06 1.46e-02 4.39e+02  -2.5 9.23e+01    -  1.75e-01 3.05e-01f  1
+  44  1.9175555e+06 1.43e-02 4.70e+02  -2.5 8.41e+01    -  7.12e-02 2.27e-02f  1
+  45  1.9139210e+06 1.08e-02 2.13e+02  -2.5 8.42e+01    -  5.95e-02 2.42e-01f  1
+  46  1.9126980e+06 9.67e-03 2.99e+02  -2.5 7.01e+01    -  2.56e-01 1.07e-01f  1
+  47  1.9112113e+06 8.34e-03 2.69e+02  -2.5 6.93e+01    -  1.57e-01 1.38e-01f  1
+  48  1.9090633e+06 7.52e-03 1.71e+02  -2.5 6.05e+01    -  1.45e-01 2.27e-01f  1
+  49  1.9074375e+06 6.65e-03 1.37e+02  -2.5 5.19e+01    -  2.08e-01 2.06e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.9057057e+06 5.72e-03 9.58e+01  -2.5 4.25e+01    -  2.41e-01 2.58e-01f  1
+  51  1.9049556e+06 4.94e-03 9.58e+01  -2.5 2.93e+01    -  1.96e-01 1.42e-01f  1
+  52  1.9043703e+06 4.33e-03 1.15e+02  -2.5 2.45e+01    -  2.75e-01 1.27e-01f  1
+  53  1.9032846e+06 3.78e-03 7.30e+01  -2.5 2.16e+01    -  1.91e-01 2.62e-01f  1
+  54  1.9024302e+06 4.13e-03 4.57e+01  -2.5 1.54e+01    -  2.23e-01 2.74e-01f  1
+  55  1.9016578e+06 4.00e-03 2.84e+01  -2.5 9.26e+00    -  3.18e-01 3.35e-01f  1
+  56  1.9012309e+06 3.36e-03 3.59e+01  -2.5 4.93e+00    -  4.49e-01 2.74e-01f  1
+  57  1.9006088e+06 2.57e-03 6.39e+00  -2.5 2.94e+00    -  3.45e-01 5.41e-01f  1
+  58  1.9003746e+06 1.52e-03 2.20e+01  -2.5 1.56e+00    -  1.00e+00 4.70e-01h  1
+  59  1.9001174e+06 4.86e-04 3.22e-03  -2.5 8.79e-01    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.8999418e+06 5.29e-04 3.03e+01  -3.8 2.75e+00    -  4.36e-01 1.37e-01f  1
+  61  1.8996898e+06 6.75e-04 3.16e+01  -3.8 2.87e+00    -  3.78e-01 2.36e-01f  1
+  62  1.8995269e+06 6.74e-04 3.58e+01  -3.8 2.88e+00    -  4.69e-01 2.06e-01f  1
+  63  1.8994120e+06 6.68e-04 3.55e+01  -3.8 3.55e+00    -  4.77e-01 1.94e-01f  1
+  64  1.8992927e+06 6.72e-04 2.94e+01  -3.8 2.97e+00    -  5.37e-01 2.70e-01f  1
+  65  1.8992282e+06 6.02e-04 2.33e+01  -3.8 2.23e+00    -  2.74e-01 2.20e-01h  1
+  66  1.8991592e+06 5.21e-04 1.80e+01  -3.8 1.84e+00    -  7.34e-01 3.12e-01h  1
+  67  1.8991035e+06 5.14e-04 1.15e+01  -3.8 1.39e+00    -  6.35e-01 3.88e-01h  1
+  68  1.8990841e+06 4.14e-04 1.11e+01  -3.8 7.29e-01    -  1.00e+00 2.36e-01h  1
+  69  1.8990383e+06 1.45e-04 2.54e+00  -3.8 5.52e-01    -  8.21e-01 7.79e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.8990265e+06 1.17e-05 9.78e-05  -3.8 1.33e-01    -  1.00e+00 1.00e+00h  1
+  71  1.8990086e+06 3.12e-05 5.13e-01  -5.7 5.32e-01    -  4.35e-01 3.94e-01f  1
+  72  1.8990000e+06 3.24e-05 8.16e-01  -5.7 4.02e-01    -  3.53e-01 3.16e-01h  1
+  73  1.8989920e+06 4.19e-05 2.12e+00  -5.7 3.17e-01    -  6.03e-01 4.30e-01h  1
+  74  1.8989879e+06 4.00e-05 2.71e+00  -5.7 2.50e-01    -  7.34e-01 3.79e-01h  1
+  75  1.8989832e+06 3.88e-05 8.89e-01  -5.7 2.13e-01    -  8.14e-01 7.11e-01h  1
+  76  1.8989815e+06 8.76e-06 2.71e-01  -5.7 1.00e-01    -  1.00e+00 9.32e-01h  1
+  77  1.8989814e+06 1.91e-07 1.19e-06  -5.7 1.94e-02    -  1.00e+00 1.00e+00f  1
+  78  1.8989810e+06 4.88e-07 2.03e-01  -7.0 3.12e-02    -  8.60e-01 6.63e-01h  1
+  79  1.8989808e+06 3.06e-07 4.56e-02  -7.0 1.32e-02    -  8.33e-01 9.25e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.8989808e+06 4.96e-08 1.45e-07  -7.0 3.11e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 80
+
+                                   (scaled)                 (unscaled)
+Objective...............:   2.1062342709675482e+04    1.8989808187043415e+06
+Dual infeasibility......:   1.4455250172816016e-07    1.3032853555810919e-05
+Constraint violation....:   4.9611587879527796e-08    4.9611587879527796e-08
+Variable bound violation:   9.8448625251990052e-08    9.8448625251990052e-08
+Complementarity.........:   1.2749080340410641e-07    1.1494570834914235e-05
+Overall NLP error.......:   1.4455250172816016e-07    1.3032853555810919e-05
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 81
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 81
+Number of inequality constraint Jacobian evaluations = 81
+Number of Lagrangian Hessian evaluations             = 80
+Total seconds in IPOPT                               = 78.381
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-9247.log b/solver_log/opf_ForkPoolWorker-9247.log
new file mode 100644
index 0000000000000000000000000000000000000000..aea71320cb29d3a90b4f88c9c73e9586f017b101
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-9247.log
@@ -0,0 +1,200 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 5.514
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581539
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2532139e+06 9.01e+00 4.52e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2642589e+06 8.86e+00 4.54e+01  -1.0 1.53e+01    -  5.97e-03 1.70e-02f  1
+   2  1.2745917e+06 8.66e+00 4.58e+01  -1.0 1.22e+01    -  6.61e-03 2.32e-02h  1
+   3  1.2839574e+06 8.45e+00 4.54e+01  -1.0 1.29e+01    -  1.57e-02 2.34e-02h  1
+   4  1.2982069e+06 8.15e+00 4.39e+01  -1.0 1.89e+01    -  3.43e-02 3.63e-02h  1
+   5  1.3132456e+06 7.85e+00 4.04e+01  -1.0 2.81e+01    -  6.14e-02 3.65e-02h  1
+   6  1.3423527e+06 7.32e+00 3.35e+01  -1.0 3.71e+01    -  1.34e-01 6.80e-02h  1
+   7  1.3954782e+06 6.43e+00 3.13e+01  -1.0 5.34e+01    -  8.45e-02 1.23e-01h  1
+   8  1.4401950e+06 5.72e+00 2.87e+01  -1.0 7.96e+01    -  9.48e-02 1.10e-01h  1
+   9  1.4905401e+06 4.97e+00 2.72e+01  -1.0 9.84e+01    -  9.02e-02 1.33e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5213130e+06 4.52e+00 2.33e+01  -1.0 1.16e+02    -  1.19e-01 9.07e-02h  1
+  11  1.5672120e+06 3.86e+00 2.27e+01  -1.0 1.23e+02    -  8.34e-02 1.46e-01h  1
+  12  1.5961351e+06 3.45e+00 2.03e+01  -1.0 1.29e+02    -  1.07e-01 1.08e-01h  1
+  13  1.6265119e+06 3.00e+00 1.90e+01  -1.0 1.28e+02    -  9.38e-02 1.30e-01h  1
+  14  1.6564105e+06 2.53e+00 1.81e+01  -1.0 1.46e+02    -  9.57e-02 1.56e-01h  1
+  15  1.6808488e+06 2.11e+00 1.50e+01  -1.0 1.72e+02    -  1.67e-01 1.65e-01h  1
+  16  1.6927834e+06 1.88e+00 1.41e+01  -1.0 2.08e+02    -  8.33e-02 1.10e-01h  1
+  17  1.7010679e+06 1.69e+00 1.21e+01  -1.0 2.38e+02    -  1.25e-01 1.00e-01h  1
+  18  1.7155919e+06 1.27e+00 1.08e+01  -1.0 2.69e+02    -  1.64e-01 2.46e-01h  1
+  19  1.7159063e+06 1.24e+00 5.21e+01  -1.0 3.44e+02    -  1.42e-01 3.02e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7164029e+06 1.09e+00 5.48e+01  -1.0 3.61e+02    -  1.36e-01 1.19e-01h  1
+  21  1.7145911e+06 9.01e-01 5.31e+01  -1.0 3.98e+02    -  1.87e-01 1.72e-01f  1
+  22  1.7100667e+06 7.45e-01 3.75e+01  -1.0 4.53e+02    -  1.61e-01 1.72e-01f  1
+  23  1.7069415e+06 6.75e-01 6.96e+01  -1.0 4.95e+02    -  1.71e-01 9.47e-02f  1
+  24  1.6994856e+06 5.42e-01 4.66e+01  -1.0 5.20e+02    -  1.64e-01 1.97e-01f  1
+  25  1.6955658e+06 4.89e-01 4.68e+01  -1.0 5.31e+02    -  1.50e-01 9.75e-02f  1
+  26  1.6920862e+06 4.45e-01 4.01e+01  -1.0 5.32e+02    -  6.75e-02 9.03e-02f  1
+  27  1.6888946e+06 4.02e-01 7.67e+01  -1.0 5.21e+02    -  2.21e-01 9.75e-02f  1
+  28  1.6850563e+06 3.51e-01 6.09e+01  -1.0 4.90e+02    -  6.98e-02 1.25e-01f  1
+  29  1.6802477e+06 2.85e-01 4.95e+01  -1.0 4.35e+02    -  1.84e-01 1.90e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.6781886e+06 2.40e-01 3.79e+01  -1.0 3.26e+02    -  2.72e-01 1.58e-01f  1
+  31  1.6779523e+06 2.20e-01 1.28e+02  -1.0 2.26e+02    -  4.07e-01 8.81e-02h  1
+  32  1.6783702e+06 1.39e-01 1.01e+02  -1.0 1.76e+02    -  4.50e-01 3.80e-01h  1
+  33  1.6791729e+06 8.95e-02 1.34e+02  -1.0 1.16e+02    -  5.33e-01 3.68e-01h  1
+  34  1.6802396e+06 6.08e-02 2.56e+02  -1.0 6.49e+01    -  6.31e-01 3.24e-01h  1
+  35  1.6821477e+06 2.70e-02 2.82e+02  -1.0 5.57e+01    -  9.90e-01 6.53e-01h  1
+  36  1.6837347e+06 1.31e-03 1.33e+00  -1.0 1.62e+01    -  9.98e-01 1.00e+00h  1
+  37  1.6837533e+06 2.02e-04 1.65e-02  -1.0 1.99e+00    -  1.00e+00 1.00e+00h  1
+  38  1.6764374e+06 3.79e-03 2.52e+02  -2.5 9.57e+01    -  4.42e-01 3.43e-01f  1
+  39  1.6727858e+06 6.62e-03 1.37e+02  -2.5 7.02e+01    -  1.92e-01 2.32e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.6718866e+06 6.18e-03 2.32e+02  -2.5 6.19e+01    -  1.67e-01 7.43e-02f  1
+  41  1.6693567e+06 6.91e-03 1.24e+02  -2.5 7.13e+01    -  1.52e-01 2.14e-01f  1
+  42  1.6676694e+06 7.49e-03 1.38e+02  -2.5 6.12e+01    -  2.16e-01 1.70e-01f  1
+  43  1.6656711e+06 9.14e-03 2.94e+01  -2.5 5.26e+01    -  9.76e-02 2.25e-01f  1
+  44  1.6649131e+06 9.26e-03 8.54e+01  -2.5 4.16e+01    -  2.13e-01 1.04e-01f  1
+  45  1.6640410e+06 7.99e-03 8.08e+01  -2.5 3.58e+01    -  1.46e-01 1.31e-01f  1
+  46  1.6630393e+06 7.02e-03 5.73e+01  -2.5 3.47e+01    -  1.35e-01 1.64e-01f  1
+  47  1.6622043e+06 6.26e-03 7.22e+01  -2.5 2.81e+01    -  2.31e-01 1.56e-01f  1
+  48  1.6613699e+06 5.26e-03 5.94e+01  -2.5 2.68e+01    -  1.91e-01 1.88e-01f  1
+  49  1.6605413e+06 4.32e-03 3.55e+01  -2.5 2.12e+01    -  1.71e-01 2.22e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.6597231e+06 3.87e-03 5.09e+01  -2.5 2.22e+01    -  3.92e-01 2.61e-01f  1
+  51  1.6587156e+06 5.13e-03 1.68e+01  -2.5 1.85e+01    -  2.98e-01 4.03e-01f  1
+  52  1.6582196e+06 4.52e-03 9.10e+00  -2.5 1.24e+01    -  2.80e-01 3.06e-01f  1
+  53  1.6579105e+06 3.86e-03 3.34e+01  -2.5 8.88e+00    -  6.06e-01 2.57e-01h  1
+  54  1.6575299e+06 3.05e-03 2.05e+01  -2.5 6.10e+00    -  4.74e-01 4.31e-01h  1
+  55  1.6572054e+06 1.37e-03 1.25e+01  -2.5 3.29e+00    -  1.00e+00 6.77e-01h  1
+  56  1.6570629e+06 6.31e-04 7.35e-03  -2.5 1.10e+00    -  1.00e+00 1.00e+00h  1
+  57  1.6570642e+06 4.01e-05 7.44e-04  -2.5 1.74e-01    -  1.00e+00 1.00e+00h  1
+  58  1.6568688e+06 2.64e-04 2.49e+01  -3.8 9.10e+00    -  4.10e-01 1.61e-01f  1
+  59  1.6566151e+06 6.55e-04 1.98e+01  -3.8 8.65e+00    -  2.68e-01 2.51e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.6564318e+06 8.96e-04 2.25e+01  -3.8 5.26e+00    -  4.09e-01 2.50e-01f  1
+  61  1.6563625e+06 8.68e-04 2.16e+01  -3.8 3.65e+00    -  1.95e-01 1.30e-01h  1
+  62  1.6562858e+06 8.51e-04 1.89e+01  -3.8 2.64e+00    -  2.10e-01 1.72e-01h  1
+  63  1.6561944e+06 1.14e-03 1.98e+01  -3.8 2.36e+00    -  5.37e-01 2.57e-01h  1
+  64  1.6561410e+06 1.19e-03 1.85e+01  -3.8 2.06e+00    -  5.30e-01 2.21e-01h  1
+  65  1.6560951e+06 9.04e-04 1.62e+01  -3.8 1.81e+00    -  7.56e-01 2.54e-01h  1
+  66  1.6560427e+06 5.86e-04 1.02e+01  -3.8 1.15e+00    -  7.23e-01 4.07e-01h  1
+  67  1.6560227e+06 4.42e-04 7.92e+00  -3.8 6.32e-01    -  6.46e-01 2.87e-01h  1
+  68  1.6559943e+06 2.31e-04 3.25e+00  -3.8 4.42e-01    -  1.00e+00 5.91e-01h  1
+  69  1.6559772e+06 4.49e-05 7.11e-01  -3.8 1.82e-01    -  8.15e-01 9.82e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.6559770e+06 2.26e-05 1.52e-01  -3.8 3.90e-02    -  1.00e+00 5.00e-01h  2
+  71  1.6559769e+06 2.56e-07 1.58e-05  -3.8 2.04e-02    -  1.00e+00 1.00e+00h  1
+  72  1.6559628e+06 4.29e-05 1.11e+00  -5.7 7.03e-01    -  4.22e-01 3.16e-01f  1
+  73  1.6559553e+06 5.12e-05 2.48e+00  -5.7 5.12e-01    -  4.59e-01 2.51e-01h  1
+  74  1.6559442e+06 6.69e-05 1.32e+00  -5.7 4.16e-01    -  5.07e-01 4.93e-01h  1
+  75  1.6559375e+06 5.05e-05 7.54e-01  -5.7 2.49e-01    -  7.09e-01 5.99e-01h  1
+  76  1.6559346e+06 2.65e-05 1.46e+00  -5.7 1.22e-01    -  9.95e-01 6.25e-01h  1
+  77  1.6559330e+06 7.64e-06 3.93e-02  -5.7 5.93e-02    -  1.00e+00 9.88e-01h  1
+  78  1.6559330e+06 5.73e-06 2.98e-01  -5.7 9.07e-03    -  1.00e+00 2.50e-01h  3
+  79  1.6559330e+06 1.06e-07 3.35e-07  -5.7 7.25e-03    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.6559327e+06 2.40e-07 2.42e-01  -7.0 2.17e-02    -  9.10e-01 5.09e-01h  1
+  81  1.6559325e+06 3.40e-07 2.33e-02  -7.0 1.45e-02    -  9.25e-01 9.07e-01f  1
+  82  1.6559324e+06 3.46e-08 2.08e-07  -7.0 3.02e-03    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 82
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.8366597693471620e+04    1.6559324480434014e+06
+Dual infeasibility......:   2.0811960136266650e-07    1.8764063258858010e-05
+Constraint violation....:   3.4585240531919206e-08    3.4585240531919206e-08
+Variable bound violation:   1.2348812994389391e-07    1.2348812994389391e-07
+Complementarity.........:   1.1942160363897260e-07    1.0767051784089770e-05
+Overall NLP error.......:   2.0811960136266650e-07    1.8764063258858010e-05
+
+
+Number of objective function evaluations             = 86
+Number of objective gradient evaluations             = 83
+Number of equality constraint evaluations            = 86
+Number of inequality constraint evaluations          = 86
+Number of equality constraint Jacobian evaluations   = 83
+Number of inequality constraint Jacobian evaluations = 83
+Number of Lagrangian Hessian evaluations             = 82
+Total seconds in IPOPT                               = 112.786
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-9510.log b/solver_log/opf_ForkPoolWorker-9510.log
new file mode 100644
index 0000000000000000000000000000000000000000..043d7c7a5e48a1e1cb9cacd73cb7c95334bdc2ef
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-9510.log
@@ -0,0 +1,199 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 4.396
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581537
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.3345246e+06 8.68e+00 5.33e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.3444742e+06 8.56e+00 5.31e+01  -1.0 1.44e+01    -  5.45e-03 1.47e-02f  1
+   2  1.3523654e+06 8.41e+00 5.29e+01  -1.0 1.15e+01    -  6.24e-03 1.69e-02h  1
+   3  1.3606562e+06 8.24e+00 5.23e+01  -1.0 1.08e+01    -  1.35e-02 2.09e-02h  1
+   4  1.3722917e+06 8.00e+00 5.09e+01  -1.0 1.38e+01    -  2.71e-02 2.86e-02h  1
+   5  1.3885318e+06 7.71e+00 4.80e+01  -1.0 2.02e+01    -  5.13e-02 3.67e-02h  1
+   6  1.4140385e+06 7.29e+00 4.40e+01  -1.0 2.82e+01    -  7.51e-02 5.48e-02h  1
+   7  1.4546770e+06 6.66e+00 4.00e+01  -1.0 3.98e+01    -  8.87e-02 8.71e-02h  1
+   8  1.4991479e+06 6.00e+00 3.59e+01  -1.0 5.67e+01    -  1.02e-01 9.90e-02h  1
+   9  1.5432961e+06 5.39e+00 3.27e+01  -1.0 7.35e+01    -  9.24e-02 1.03e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.5850501e+06 4.82e+00 3.14e+01  -1.0 8.83e+01    -  5.96e-02 1.06e-01h  1
+  11  1.6203222e+06 4.34e+00 2.96e+01  -1.0 1.00e+02    -  7.10e-02 9.95e-02h  1
+  12  1.6618908e+06 3.78e+00 2.81e+01  -1.0 1.08e+02    -  7.36e-02 1.30e-01h  1
+  13  1.6956456e+06 3.32e+00 2.49e+01  -1.0 1.13e+02    -  1.17e-01 1.23e-01h  1
+  14  1.7201854e+06 2.97e+00 2.09e+01  -1.0 1.13e+02    -  1.43e-01 1.04e-01h  1
+  15  1.7550462e+06 2.47e+00 1.96e+01  -1.0 1.24e+02    -  9.77e-02 1.70e-01h  1
+  16  1.7815456e+06 2.05e+00 1.66e+01  -1.0 1.50e+02    -  1.57e-01 1.70e-01h  1
+  17  1.7952621e+06 1.81e+00 1.35e+01  -1.0 1.87e+02    -  1.66e-01 1.19e-01h  1
+  18  1.8101646e+06 1.50e+00 1.31e+01  -1.0 2.19e+02    -  8.35e-02 1.69e-01h  1
+  19  1.8150410e+06 1.36e+00 9.94e+00  -1.0 2.54e+02    -  1.85e-01 9.04e-02h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.8235561e+06 1.06e+00 9.94e+00  -1.0 2.77e+02    -  9.68e-02 2.26e-01h  1
+  21  1.8245357e+06 9.18e-01 8.67e+00  -1.0 3.25e+02    -  1.28e-01 1.30e-01h  1
+  22  1.8243723e+06 8.36e-01 6.82e+00  -1.0 3.49e+02    -  1.68e-01 8.99e-02h  1
+  23  1.8228518e+06 6.85e-01 6.47e+00  -1.0 3.75e+02    -  1.04e-01 1.80e-01h  1
+  24  1.8215934e+06 6.27e-01 5.26e+00  -1.0 4.00e+02    -  1.51e-01 8.44e-02f  1
+  25  1.8192957e+06 5.43e-01 1.41e+01  -1.0 4.12e+02    -  2.31e-01 1.35e-01f  1
+  26  1.8168119e+06 4.81e-01 1.46e+01  -1.0 4.35e+02    -  1.27e-01 1.13e-01f  1
+  27  1.8116531e+06 3.81e-01 2.18e+01  -1.0 4.25e+02    -  2.64e-01 2.08e-01f  1
+  28  1.8103451e+06 3.58e-01 6.22e+01  -1.0 4.03e+02    -  2.81e-01 6.21e-02f  1
+  29  1.8071401e+06 2.78e-01 2.48e+01  -1.0 3.65e+02    -  1.03e-01 2.25e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  1.8068270e+06 2.56e-01 6.20e+01  -1.0 2.31e+02    -  2.36e-01 7.75e-02h  1
+  31  1.8069524e+06 1.96e-01 4.42e+01  -1.0 1.61e+02    -  2.28e-01 2.39e-01h  1
+  32  1.8071887e+06 1.75e-01 4.25e+01  -1.0 1.06e+02    -  1.18e-01 1.09e-01h  1
+  33  1.8075212e+06 1.64e-01 1.74e+02  -1.0 9.36e+01    -  4.38e-01 6.44e-02h  1
+  34  1.8103492e+06 1.03e-01 3.39e+01  -1.0 7.69e+01    -  6.67e-02 3.81e-01h  1
+  35  1.8109523e+06 8.69e-02 2.84e+02  -1.0 8.89e+01    -  7.25e-01 1.65e-01h  1
+  36  1.8137894e+06 5.48e-02 3.53e+02  -1.0 7.29e+01    -  9.15e-01 4.86e-01h  1
+  37  1.8173978e+06 9.25e-03 5.18e+00  -1.0 1.74e+01    -  9.91e-01 1.00e+00h  1
+  38  1.8175113e+06 3.86e-04 7.79e-02  -1.0 3.11e+00    -  1.00e+00 1.00e+00h  1
+  39  1.8097525e+06 7.36e-03 3.49e+01  -2.5 8.24e+01    -  3.57e-01 3.71e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  1.8066573e+06 7.48e-03 1.69e+02  -2.5 6.67e+01    -  3.30e-01 2.09e-01f  1
+  41  1.8056953e+06 7.17e-03 2.80e+02  -2.5 5.17e+01    -  1.95e-01 7.94e-02f  1
+  42  1.8029288e+06 6.11e-03 7.00e+01  -2.5 4.53e+01    -  8.11e-02 2.45e-01f  1
+  43  1.8009401e+06 6.04e-03 4.43e+01  -2.5 4.01e+01    -  1.33e-01 2.04e-01f  1
+  44  1.7991929e+06 5.90e-03 3.73e+01  -2.5 3.76e+01    -  1.97e-01 2.05e-01f  1
+  45  1.7981852e+06 5.63e-03 3.27e+01  -2.5 3.85e+01    -  1.78e-01 1.35e-01f  1
+  46  1.7969953e+06 5.30e-03 2.61e+01  -2.5 2.87e+01    -  1.57e-01 1.78e-01f  1
+  47  1.7962343e+06 4.86e-03 2.28e+01  -2.5 2.55e+01    -  1.45e-01 1.32e-01f  1
+  48  1.7959645e+06 4.65e-03 8.08e+01  -2.5 2.81e+01    -  2.07e-01 5.28e-02f  1
+  49  1.7949461e+06 4.96e-03 1.28e+02  -2.5 2.58e+01    -  2.84e-01 2.08e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  1.7943272e+06 5.15e-03 1.11e+02  -2.5 1.73e+01    -  1.21e-01 1.42e-01f  1
+  51  1.7935102e+06 5.58e-03 8.74e+01  -2.5 1.23e+01    -  2.97e-01 2.07e-01f  1
+  52  1.7929623e+06 5.39e-03 1.01e+02  -2.5 8.15e+00    -  5.35e-01 1.70e-01f  1
+  53  1.7921688e+06 5.40e-03 5.79e+01  -2.5 5.95e+00    -  9.52e-02 2.82e-01f  1
+  54  1.7915188e+06 4.61e-03 3.81e+01  -2.5 4.36e+00    -  3.06e-01 3.22e-01f  1
+  55  1.7909051e+06 3.36e-03 2.54e+01  -2.5 3.88e+00    -  5.22e-01 4.46e-01f  1
+  56  1.7904790e+06 4.60e-03 1.10e+01  -2.5 2.63e+00    -  5.96e-01 5.83e-01h  1
+  57  1.7901817e+06 4.30e-04 1.15e-02  -2.5 1.79e+00    -  1.00e+00 1.00e+00h  1
+  58  1.7901870e+06 2.71e-05 4.48e-04  -2.5 1.31e-01    -  1.00e+00 1.00e+00h  1
+  59  1.7899174e+06 4.14e-04 2.31e+01  -3.8 6.29e+00    -  4.26e-01 1.97e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  1.7897827e+06 4.73e-04 2.84e+01  -3.8 6.64e+00    -  2.63e-01 1.27e-01f  1
+  61  1.7896640e+06 4.87e-04 2.46e+01  -3.8 6.10e+00    -  1.31e-01 1.33e-01f  1
+  62  1.7895467e+06 5.49e-04 3.38e+01  -3.8 5.45e+00    -  4.65e-01 1.59e-01f  1
+  63  1.7894125e+06 6.44e-04 3.05e+01  -3.8 4.69e+00    -  4.09e-01 2.27e-01f  1
+  64  1.7893097e+06 7.00e-04 2.51e+01  -3.8 2.91e+00    -  3.64e-01 2.39e-01f  1
+  65  1.7892382e+06 6.64e-04 2.06e+01  -3.8 1.82e+00    -  3.62e-01 2.33e-01h  1
+  66  1.7891770e+06 6.15e-04 1.83e+01  -3.8 1.42e+00    -  8.00e-01 2.77e-01h  1
+  67  1.7891352e+06 4.98e-04 1.79e+01  -3.8 1.09e+00    -  1.00e+00 2.89e-01h  1
+  68  1.7890913e+06 3.33e-04 9.97e+00  -3.8 8.03e-01    -  1.00e+00 4.54e-01h  1
+  69  1.7890512e+06 3.57e-04 2.98e+00  -3.8 4.99e-01    -  1.00e+00 8.22e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  1.7890436e+06 1.61e-05 8.10e-05  -3.8 1.11e-01    -  1.00e+00 1.00e+00h  1
+  71  1.7890360e+06 2.46e-05 1.83e+00  -5.7 6.18e-01    -  3.50e-01 1.67e-01h  1
+  72  1.7890184e+06 7.08e-05 5.43e-01  -5.7 5.56e-01    -  3.46e-01 4.70e-01h  1
+  73  1.7890126e+06 5.96e-05 1.57e+00  -5.7 3.25e-01    -  6.67e-01 2.99e-01h  1
+  74  1.7890060e+06 4.56e-05 1.03e+00  -5.7 3.40e-01    -  6.36e-01 4.80e-01h  1
+  75  1.7890024e+06 2.90e-05 1.62e+00  -5.7 3.08e-01    -  8.43e-01 5.13e-01h  1
+  76  1.7890004e+06 1.51e-05 1.82e+00  -5.7 2.28e-01    -  9.99e-01 5.78e-01h  1
+  77  1.7889990e+06 2.38e-06 7.26e-05  -5.7 8.90e-02    -  1.00e+00 1.00e+00h  1
+  78  1.7889990e+06 3.78e-08 1.48e-06  -5.7 9.03e-03    -  1.00e+00 1.00e+00h  1
+  79  1.7889986e+06 3.74e-07 4.99e-01  -7.0 2.77e-02    -  6.75e-01 8.45e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  1.7889985e+06 1.11e-07 2.86e-01  -7.0 1.18e-02    -  9.40e-01 1.00e+00h  1
+  81  1.7889985e+06 1.48e-08 1.91e-07  -7.0 3.37e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 81
+
+                                   (scaled)                 (unscaled)
+Objective...............:   1.9842485651961444e+04    1.7889985063808439e+06
+Dual infeasibility......:   1.9110820602765316e-07    1.7230315855453208e-05
+Constraint violation....:   1.4807284481020699e-08    1.4807284481020699e-08
+Variable bound violation:   1.0414865414531960e-07    1.0414865414531960e-07
+Complementarity.........:   1.1651751413712534e-07    1.0505219074603221e-05
+Overall NLP error.......:   1.9110820602765316e-07    1.7230315855453208e-05
+
+
+Number of objective function evaluations             = 82
+Number of objective gradient evaluations             = 82
+Number of equality constraint evaluations            = 82
+Number of inequality constraint evaluations          = 82
+Number of equality constraint Jacobian evaluations   = 82
+Number of inequality constraint Jacobian evaluations = 82
+Number of Lagrangian Hessian evaluations             = 81
+Total seconds in IPOPT                               = 72.792
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/opf_ForkPoolWorker-9892.log b/solver_log/opf_ForkPoolWorker-9892.log
new file mode 100644
index 0000000000000000000000000000000000000000..52560b128583fb0d17505bf2bc3e9f354ec46225
--- /dev/null
+++ b/solver_log/opf_ForkPoolWorker-9892.log
@@ -0,0 +1,198 @@
+ ======= warm starting Julia interface opf function =======
+
+******************************************************************************
+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 https://github.com/coin-or/Ipopt
+******************************************************************************
+
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:      155
+Number of nonzeros in inequality constraint Jacobian.:       36
+Number of nonzeros in Lagrangian Hessian.............:      264
+
+Total number of variables............................:       44
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:       39
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       35
+Total number of inequality constraints...............:       18
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:        6
+        inequality constraints with only upper bounds:       12
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.0059989e+02 3.99e+00 2.88e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  8.3066346e+03 2.47e+00 1.01e+02  -1.0 2.78e+00    -  4.11e-03 3.82e-01h  1
+   2  6.7182484e+03 2.36e+00 9.62e+01  -1.0 1.60e+01    -  7.37e-02 4.44e-02f  1
+   3  6.6691211e+03 2.30e+00 9.34e+01  -1.0 1.30e+01    -  4.95e-01 2.40e-02f  1
+   4  6.5744238e+03 2.04e+00 8.25e+01  -1.0 1.29e+01    -  3.67e-01 1.12e-01f  2
+   5  6.8265929e+03 1.80e+00 7.10e+01  -1.0 1.23e+01    -  8.72e-01 1.20e-01h  2
+   6  8.8541540e+03 1.08e+00 4.20e+01  -1.0 9.14e+00    -  5.92e-01 4.00e-01h  1
+   7  1.0572759e+04 8.62e-01 3.58e+01  -1.0 2.94e+00    -  4.94e-01 2.00e-01h  1
+   8  1.7308372e+04 3.63e-02 1.47e+01  -1.0 2.41e+00    -  7.66e-01 9.58e-01h  1
+   9  1.7572883e+04 1.33e-02 1.10e+00  -1.0 2.11e+00    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.7590632e+04 1.69e-03 1.61e-01  -1.0 5.03e-01    -  1.00e+00 1.00e+00h  1
+  11  1.7558725e+04 5.24e-03 5.03e-01  -2.5 6.03e-01    -  8.35e-01 9.36e-01f  1
+  12  1.7553111e+04 3.34e-03 4.11e+00  -2.5 2.84e-01    -  1.00e+00 8.20e-01h  1
+  13  1.7552956e+04 3.24e-05 1.26e-02  -2.5 6.35e-02    -  1.00e+00 1.00e+00h  1
+  14  1.7551990e+04 1.35e-05 1.09e+00  -3.8 2.53e-02    -  1.00e+00 9.25e-01h  1
+  15  1.7551938e+04 4.46e-08 1.23e-02  -3.8 7.00e-03    -  1.00e+00 1.00e+00f  1
+  16  1.7551940e+04 2.35e-10 2.06e-04  -3.8 3.84e-04    -  1.00e+00 1.00e+00h  1
+  17  1.7551892e+04 1.75e-07 2.11e-01  -5.7 2.49e-03    -  1.00e+00 9.68e-01f  1
+  18  1.7551891e+04 6.82e-11 3.10e-05  -5.7 2.38e-04    -  1.00e+00 1.00e+00f  1
+  19  1.7551891e+04 2.18e-14 6.53e-10  -5.7 5.20e-07    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.7551891e+04 3.10e-12 2.75e-07  -7.0 3.35e-05    -  1.00e+00 1.00e+00f  1
+
+Number of Iterations....: 20
+
+                                   (scaled)                 (unscaled)
+Objective...............:   4.3879727166954194e+02    1.7551890866781676e+04
+Dual infeasibility......:   2.7488576367243577e-07    1.0995430546897431e-05
+Constraint violation....:   2.2732649096468549e-12    3.0984104171238869e-12
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   9.4562723979493030e-08    3.7825089591797211e-06
+Overall NLP error.......:   2.7488576367243577e-07    1.0995430546897431e-05
+
+
+Number of objective function evaluations             = 27
+Number of objective gradient evaluations             = 21
+Number of equality constraint evaluations            = 27
+Number of inequality constraint evaluations          = 27
+Number of equality constraint Jacobian evaluations   = 21
+Number of inequality constraint Jacobian evaluations = 21
+Number of Lagrangian Hessian evaluations             = 20
+Total seconds in IPOPT                               = 6.899
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   321163
+Number of nonzeros in inequality constraint Jacobian.:    78256
+Number of nonzeros in Lagrangian Hessian.............:   581542
+
+Total number of variables............................:    76792
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:    66792
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    72773
+Total number of inequality constraints...............:    39128
+        inequality constraints with only lower bounds:        0
+   inequality constraints with lower and upper bounds:    12742
+        inequality constraints with only upper bounds:    26386
+
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+   0  1.2585116e+06 8.02e+00 6.40e+01  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  1.2754609e+06 7.88e+00 6.27e+01  -1.0 1.61e+01    -  4.67e-03 1.69e-02f  1
+   2  1.2898769e+06 7.72e+00 6.21e+01  -1.0 1.25e+01    -  5.66e-03 2.03e-02h  1
+   3  1.3001940e+06 7.60e+00 6.12e+01  -1.0 1.28e+01    -  1.33e-02 1.63e-02h  1
+   4  1.3201557e+06 7.35e+00 5.96e+01  -1.0 1.73e+01    -  2.65e-02 3.22e-02h  1
+   5  1.3416456e+06 7.11e+00 5.67e+01  -1.0 2.63e+01    -  4.67e-02 3.31e-02h  1
+   6  1.3785920e+06 6.72e+00 5.18e+01  -1.0 3.51e+01    -  8.27e-02 5.47e-02h  1
+   7  1.4383055e+06 6.14e+00 4.61e+01  -1.0 4.92e+01    -  1.08e-01 8.74e-02h  1
+   8  1.5076994e+06 5.50e+00 4.28e+01  -1.0 7.03e+01    -  7.53e-02 1.04e-01h  1
+   9  1.5789634e+06 4.88e+00 3.89e+01  -1.0 9.21e+01    -  9.18e-02 1.14e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  10  1.6286143e+06 4.45e+00 3.69e+01  -1.0 1.12e+02    -  5.24e-02 8.74e-02h  1
+  11  1.6851805e+06 3.98e+00 3.43e+01  -1.0 1.24e+02    -  7.14e-02 1.07e-01h  1
+  12  1.7246059e+06 3.65e+00 2.96e+01  -1.0 1.34e+02    -  1.41e-01 8.30e-02h  1
+  13  1.7841293e+06 3.16e+00 2.71e+01  -1.0 1.38e+02    -  8.17e-02 1.35e-01h  1
+  14  1.8252362e+06 2.81e+00 2.53e+01  -1.0 1.40e+02    -  6.57e-02 1.11e-01h  1
+  15  1.8583139e+06 2.51e+00 2.30e+01  -1.0 1.43e+02    -  9.14e-02 1.05e-01h  1
+  16  1.8907834e+06 2.22e+00 2.01e+01  -1.0 1.63e+02    -  1.27e-01 1.18e-01h  1
+  17  1.9207214e+06 1.93e+00 1.84e+01  -1.0 1.89e+02    -  8.85e-02 1.29e-01h  1
+  18  1.9400454e+06 1.74e+00 1.65e+01  -1.0 2.14e+02    -  1.03e-01 1.02e-01h  1
+  19  1.9632644e+06 1.48e+00 1.51e+01  -1.0 2.36e+02    -  9.78e-02 1.47e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  20  1.9818458e+06 1.24e+00 1.29e+01  -1.0 2.67e+02    -  1.50e-01 1.62e-01h  1
+  21  1.9926905e+06 1.07e+00 1.11e+01  -1.0 3.03e+02    -  1.43e-01 1.37e-01h  1
+  22  2.0023026e+06 8.67e-01 2.52e+01  -1.0 3.31e+02    -  2.17e-01 1.91e-01h  1
+  23  2.0033298e+06 8.19e-01 6.44e+01  -1.0 3.73e+02    -  9.85e-02 5.53e-02h  1
+  24  2.0065989e+06 6.62e-01 7.99e+01  -1.0 3.73e+02    -  2.23e-01 1.92e-01h  1
+  25  2.0067403e+06 6.05e-01 1.02e+02  -1.0 3.95e+02    -  1.26e-01 8.60e-02h  1
+  26  2.0061317e+06 5.08e-01 8.15e+01  -1.0 4.01e+02    -  1.54e-01 1.61e-01h  1
+  27  2.0042909e+06 4.20e-01 8.27e+01  -1.0 4.04e+02    -  2.22e-01 1.73e-01h  1
+  28  2.0036187e+06 3.63e-01 7.63e+01  -1.0 3.65e+02    -  1.79e-01 1.37e-01h  1
+  29  2.0040803e+06 3.18e-01 7.02e+01  -1.0 2.90e+02    -  2.10e-01 1.24e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  30  2.0054480e+06 2.62e-01 6.06e+01  -1.0 2.38e+02    -  2.24e-01 1.77e-01h  1
+  31  2.0070128e+06 2.29e-01 4.62e+01  -1.0 1.69e+02    -  6.41e-02 1.29e-01h  1
+  32  2.0091006e+06 1.94e-01 5.40e+01  -1.0 1.35e+02    -  3.00e-01 1.55e-01h  1
+  33  2.0109988e+06 1.73e-01 1.05e+02  -1.0 9.11e+01    -  2.90e-01 1.11e-01h  1
+  34  2.0146094e+06 1.40e-01 1.10e+02  -1.0 8.94e+01    -  2.66e-01 1.92e-01h  1
+  35  2.0198965e+06 9.59e-02 2.69e+01  -1.0 7.71e+01    -  1.80e-01 3.16e-01h  1
+  36  2.0229917e+06 6.90e-02 9.36e+01  -1.0 8.10e+01    -  4.35e-01 2.82e-01h  1
+  37  2.0249357e+06 5.53e-02 1.01e+02  -1.0 3.60e+01    -  2.44e-01 1.99e-01h  1
+  38  2.0295499e+06 2.42e-02 2.85e+02  -1.0 3.03e+01    -  9.65e-01 5.71e-01h  1
+  39  2.0315607e+06 1.22e-02 4.28e+02  -1.0 1.78e+01    -  9.91e-01 5.25e-01h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  40  2.0334929e+06 1.35e-03 1.11e-01  -1.0 8.79e+00    -  1.00e+00 1.00e+00h  1
+  41  2.0267527e+06 5.74e-03 8.15e+01  -2.5 8.27e+01    -  2.99e-01 3.33e-01f  1
+  42  2.0226067e+06 9.37e-03 3.38e+01  -2.5 7.16e+01    -  3.28e-01 2.72e-01f  1
+  43  2.0199112e+06 7.51e-03 1.18e+02  -2.5 5.92e+01    -  3.02e-01 2.20e-01f  1
+  44  2.0184140e+06 7.62e-03 1.27e+02  -2.5 6.59e+01    -  1.73e-01 1.39e-01f  1
+  45  2.0166576e+06 7.85e-03 2.54e+01  -2.5 5.72e+01    -  5.60e-02 1.81e-01f  1
+  46  2.0161887e+06 7.55e-03 1.02e+02  -2.5 3.84e+01    -  1.91e-01 5.87e-02f  1
+  47  2.0143534e+06 8.20e-03 5.23e+01  -2.5 3.75e+01    -  1.68e-01 2.24e-01f  1
+  48  2.0133517e+06 7.19e-03 8.47e+01  -2.5 3.38e+01    -  2.46e-01 1.46e-01f  1
+  49  2.0112502e+06 7.36e-03 3.29e+01  -2.5 2.65e+01    -  2.65e-01 3.40e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  50  2.0106853e+06 6.47e-03 4.47e+01  -2.5 1.80e+01    -  1.91e-01 1.25e-01f  1
+  51  2.0099479e+06 5.38e-03 2.44e+01  -2.5 1.59e+01    -  1.18e-01 1.78e-01f  1
+  52  2.0085888e+06 6.61e-03 1.25e+01  -2.5 1.35e+01    -  2.28e-01 3.75e-01f  1
+  53  2.0081624e+06 5.99e-03 2.92e+01  -2.5 8.78e+00    -  4.28e-01 1.83e-01f  1
+  54  2.0076346e+06 5.37e-03 3.35e+01  -2.5 9.19e+00    -  3.81e-01 2.63e-01f  1
+  55  2.0069058e+06 4.37e-03 1.70e+01  -2.5 8.65e+00    -  4.69e-01 4.76e-01f  1
+  56  2.0064740e+06 2.32e-03 4.84e+00  -2.5 5.16e+00    -  4.25e-01 5.45e-01h  1
+  57  2.0061467e+06 4.27e-04 1.98e+01  -2.5 1.74e+00    -  5.81e-01 1.00e+00h  1
+  58  2.0061527e+06 2.11e-04 3.15e-03  -2.5 3.66e-01    -  1.00e+00 1.00e+00h  1
+  59  2.0058617e+06 4.20e-04 6.03e+00  -3.8 7.20e+00    -  2.82e-01 2.28e-01f  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  60  2.0056235e+06 6.98e-04 1.72e+01  -3.8 5.66e+00    -  4.24e-01 2.60e-01f  1
+  61  2.0055174e+06 6.67e-04 2.25e+01  -3.8 3.47e+00    -  3.21e-01 1.65e-01f  1
+  62  2.0054102e+06 6.25e-04 2.25e+01  -3.8 2.73e+00    -  3.24e-01 2.06e-01f  1
+  63  2.0053126e+06 6.54e-04 1.86e+01  -3.8 2.10e+00    -  2.98e-01 2.44e-01h  1
+  64  2.0052232e+06 6.72e-04 1.49e+01  -3.8 1.89e+00    -  3.96e-01 3.07e-01h  1
+  65  2.0051927e+06 6.05e-04 2.00e+01  -3.8 1.63e+00    -  6.48e-01 1.63e-01h  1
+  66  2.0051238e+06 6.23e-04 1.41e+01  -3.8 1.43e+00    -  9.83e-01 4.58e-01h  1
+  67  2.0050650e+06 4.51e-04 2.92e+00  -3.8 7.78e-01    -  1.00e+00 7.89e-01h  1
+  68  2.0050521e+06 3.22e-05 1.50e-04  -3.8 1.12e-01    -  1.00e+00 1.00e+00h  1
+  69  2.0050523e+06 6.24e-07 1.04e-05  -3.8 1.09e-02    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  70  2.0050368e+06 6.76e-05 2.32e+00  -5.7 3.70e-01    -  6.28e-01 3.30e-01f  1
+  71  2.0050292e+06 7.48e-05 3.08e+00  -5.7 2.33e-01    -  6.20e-01 2.45e-01h  1
+  72  2.0050183e+06 1.04e-04 1.38e+00  -5.7 1.91e-01    -  3.50e-01 4.70e-01h  1
+  73  2.0050139e+06 8.01e-05 4.19e+00  -5.7 1.19e-01    -  7.03e-01 3.60e-01h  1
+  74  2.0050105e+06 5.62e-05 6.64e+00  -5.7 9.25e-02    -  7.85e-01 4.50e-01h  1
+  75  2.0050073e+06 2.72e-05 4.09e+00  -5.7 6.16e-02    -  1.00e+00 7.81e-01h  1
+  76  2.0050064e+06 1.94e-06 3.18e-05  -5.7 2.84e-02    -  1.00e+00 1.00e+00h  1
+  77  2.0050064e+06 8.49e-09 9.20e-07  -5.7 4.36e-03    -  1.00e+00 1.00e+00h  1
+  78  2.0050060e+06 4.53e-07 1.78e-01  -7.0 1.45e-02    -  9.10e-01 8.15e-01h  1
+  79  2.0050059e+06 1.58e-07 2.80e-06  -7.0 5.53e-03    -  1.00e+00 1.00e+00h  1
+iter    objective    inf_pr   inf_du lg(mu)  ||d||  lg(rg) alpha_du alpha_pr  ls
+  80  2.0050059e+06 8.78e-09 7.28e-08  -7.0 1.36e-03    -  1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 80
+
+                                   (scaled)                 (unscaled)
+Objective...............:   2.2238308125701838e+04    2.0050058606132779e+06
+Dual infeasibility......:   7.2831937633809856e-08    6.5665274970642964e-06
+Constraint violation....:   8.7754716579339920e-09    8.7754716579339920e-09
+Variable bound violation:   1.2854027531261636e-07    1.2854027531261636e-07
+Complementarity.........:   1.0718745952915930e-07    9.6640213511490026e-06
+Overall NLP error.......:   1.0718745952915930e-07    9.6640213511490026e-06
+
+
+Number of objective function evaluations             = 81
+Number of objective gradient evaluations             = 81
+Number of equality constraint evaluations            = 81
+Number of inequality constraint evaluations          = 81
+Number of equality constraint Jacobian evaluations   = 81
+Number of inequality constraint Jacobian evaluations = 81
+Number of Lagrangian Hessian evaluations             = 80
+Total seconds in IPOPT                               = 162.305
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-1485.log b/solver_log/pf_ForkPoolWorker-1485.log
new file mode 100644
index 0000000000000000000000000000000000000000..2c368c643b6e2dea4e38d78f1f3dd4d25b391944
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-1485.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5299789683939700e-11    7.5299789683939700e-11
+Constraint violation....:   2.8914650535005748e-10    2.8914650535005748e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8914650535005748e-10    2.8914650535005748e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.673
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.90e-10 7.56e-11  -5.7 3.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5575955534733192e-11    7.5575955534733192e-11
+Constraint violation....:   2.9006173678236546e-10    2.9006173678236546e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.9006173678236546e-10    2.9006173678236546e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.605
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5317493773452736e-11    7.5317493773452736e-11
+Constraint violation....:   2.8919791388026805e-10    2.8919791388026805e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8919791388026805e-10    2.8919791388026805e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.522
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5310756389735652e-11    7.5310756389735652e-11
+Constraint violation....:   2.8919037997621189e-10    2.8919037997621189e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8919037997621189e-10    2.8919037997621189e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.639
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.55e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5532473522616533e-11    7.5532473522616533e-11
+Constraint violation....:   2.8930902638835132e-10    2.8930902638835132e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8930902638835132e-10    2.8930902638835132e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.799
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.17e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.88e-10 7.50e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5018376372167204e-11    7.5018376372167204e-11
+Constraint violation....:   2.8833071867573334e-10    2.8833071867573334e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8833071867573334e-10    2.8833071867573334e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.930
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.91e-10 7.58e-11  -5.7 3.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5779220755961898e-11    7.5779220755961898e-11
+Constraint violation....:   2.9061559235488144e-10    2.9061559235488144e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.9061559235488144e-10    2.9061559235488144e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.492
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.90e-10 7.55e-11  -5.7 3.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5549227597426868e-11    7.5549227597426868e-11
+Constraint violation....:   2.8988169156751731e-10    2.8988169156751731e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8988169156751731e-10    2.8988169156751731e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.609
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.90e-10 7.54e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5418386704190910e-11    7.5418386704190910e-11
+Constraint violation....:   2.8958549100344122e-10    2.8958549100344122e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8958549100344122e-10    2.8958549100344122e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.716
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.35e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.90e-10 7.54e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5393616590290332e-11    7.5393616590290332e-11
+Constraint violation....:   2.8960582890147357e-10    2.8960582890147357e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8960582890147357e-10    2.8960582890147357e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.448
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5330616243664926e-11    7.5330616243664926e-11
+Constraint violation....:   2.8923756792420541e-10    2.8923756792420541e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8923756792420541e-10    2.8923756792420541e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.205
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5327140290793461e-11    7.5327140290793461e-11
+Constraint violation....:   2.8923793915502927e-10    2.8923793915502927e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8923793915502927e-10    2.8923793915502927e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.170
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.91e-10 7.58e-11  -5.7 3.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5837468368553843e-11    7.5837468368553843e-11
+Constraint violation....:   2.9122025103911486e-10    2.9122025103911486e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.9122025103911486e-10    2.9122025103911486e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.434
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.54e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5382925260323915e-11    7.5382925260323915e-11
+Constraint violation....:   2.8936961680992024e-10    2.8936961680992024e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8936961680992024e-10    2.8936961680992024e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.090
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5293135150271446e-11    7.5293135150271446e-11
+Constraint violation....:   2.8914402296076336e-10    2.8914402296076336e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8914402296076336e-10    2.8914402296076336e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.004
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5301451853485452e-11    7.5301451853485452e-11
+Constraint violation....:   2.8916210224882999e-10    2.8916210224882999e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8916210224882999e-10    2.8916210224882999e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.845
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.35e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5250597161668057e-11    7.5250597161668057e-11
+Constraint violation....:   2.8912071348141666e-10    2.8912071348141666e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8912071348141666e-10    2.8912071348141666e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.700
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.43e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.14e+00 1.92e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.37e-02 2.52e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.16e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.50e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4982251315299662e-11    7.4982251315299662e-11
+Constraint violation....:   2.8930208055555351e-10    2.8930208055555351e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8930208055555351e-10    2.8930208055555351e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.623
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5262089096638184e-11    7.5262089096638184e-11
+Constraint violation....:   2.8908742760735961e-10    2.8908742760735961e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8908742760735961e-10    2.8908742760735961e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.527
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5302324269185663e-11    7.5302324269185663e-11
+Constraint violation....:   2.8918550540324439e-10    2.8918550540324439e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8918550540324439e-10    2.8918550540324439e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.430
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.36e-02 2.52e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.59e-05 5.19e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.90e-10 7.55e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5488951802216157e-11    7.5488951802216157e-11
+Constraint violation....:   2.8951333344573449e-10    2.8951333344573449e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8951333344573449e-10    2.8951333344573449e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.365
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.44e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.92e-01  -1.0 2.49e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.51e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 5.18e-06  -3.8 2.52e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.89e-10 7.53e-11  -5.7 3.54e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5330616243664926e-11    7.5330616243664926e-11
+Constraint violation....:   2.8923756792420541e-10    2.8923756792420541e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8923756792420541e-10    2.8923756792420541e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.408
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-1583.log b/solver_log/pf_ForkPoolWorker-1583.log
new file mode 100644
index 0000000000000000000000000000000000000000..2024ad09669777cb64b24703bd180b9b98727c86
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-1583.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.91e-05 3.62e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.90e-11  -5.7 2.90e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8980449383523220e-11    3.8980449383523220e-11
+Constraint violation....:   1.8548064473211667e-10    1.8548064473211667e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8548064473211667e-10    1.8548064473211667e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.317
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.37e-01  -1.0 2.69e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.43e+00 1.72e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.59e-02 2.37e-03  -1.0 3.62e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.87e-05 3.53e-06  -3.8 2.38e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.80e-10 3.70e-11  -5.7 2.85e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.7004752129557284e-11    3.7004752129557284e-11
+Constraint violation....:   1.8040293911503191e-10    1.8040293911503191e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8040293911503191e-10    1.8040293911503191e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.792
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8706901630252744e-11    3.8706901630252744e-11
+Constraint violation....:   1.8457331843468872e-10    1.8457331843468872e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8457331843468872e-10    1.8457331843468872e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.762
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.40e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.75e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.40e-03  -1.0 3.63e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.20e-05 4.03e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.23e-10 4.94e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9369892723612542e-11    4.9369892723612542e-11
+Constraint violation....:   2.2339666227999544e-10    2.2339666227999544e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2339666227999544e-10    2.2339666227999544e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.412
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.38e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.47e+00 1.74e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.63e-02 2.40e-03  -1.0 3.65e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.89e-05 3.58e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.82e-10 3.80e-11  -5.7 2.87e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.7963854321825092e-11    3.7963854321825092e-11
+Constraint violation....:   1.8248187683145289e-10    1.8248187683145289e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8248187683145289e-10    1.8248187683145289e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.806
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8696604682405197e-11    3.8696604682405197e-11
+Constraint violation....:   1.8453576514088077e-10    1.8453576514088077e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8453576514088077e-10    1.8453576514088077e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.166
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8713038893131772e-11    3.8713038893131772e-11
+Constraint violation....:   1.8459580738983128e-10    1.8459580738983128e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8459580738983128e-10    1.8459580738983128e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.399
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.38e-01  -1.0 2.72e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.89e-05 3.59e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.83e-10 3.83e-11  -5.7 2.88e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8317783552753179e-11    3.8317783552753179e-11
+Constraint violation....:   1.8342370330937108e-10    1.8342370330937108e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8342370330937108e-10    1.8342370330937108e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.401
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.60e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.84e-10 3.85e-11  -5.7 2.88e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8517646612979722e-11    3.8517646612979722e-11
+Constraint violation....:   1.8401731527450949e-10    1.8401731527450949e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8401731527450949e-10    1.8401731527450949e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.401
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.38e-01  -1.0 2.69e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.44e+00 1.73e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.38e-03  -1.0 3.63e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.92e-05 3.60e-06  -3.8 2.40e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.87e-10 3.89e-11  -5.7 2.91e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8858806654435165e-11    3.8858806654435165e-11
+Constraint violation....:   1.8736507484407028e-10    1.8736507484407028e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8736507484407028e-10    1.8736507484407028e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.213
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.35e-01  -1.0 2.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.42e+00 1.70e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.62e-02 2.37e-03  -1.0 3.62e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 3.58e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.93e-10 3.92e-11  -5.7 2.97e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.9212788747977300e-11    3.9212788747977300e-11
+Constraint violation....:   1.9343506657554244e-10    1.9343506657554244e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9343506657554244e-10    1.9343506657554244e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.308
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8696392757631180e-11    3.8696392757631180e-11
+Constraint violation....:   1.8453179956301469e-10    1.8453179956301469e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8453179956301469e-10    1.8453179956301469e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.195
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.46e+00 1.75e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.63e-02 2.40e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.89e-05 3.59e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.84e-10 3.82e-11  -5.7 2.88e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8176304517859256e-11    3.8176304517859256e-11
+Constraint violation....:   1.8361128936716931e-10    1.8361128936716931e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8361128936716931e-10    1.8361128936716931e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.274
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.91e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.88e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8815569508485806e-11    3.8815569508485806e-11
+Constraint violation....:   1.8499880793942935e-10    1.8499880793942935e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8499880793942935e-10    1.8499880793942935e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.099
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.84e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8683580309999519e-11    3.8683580309999519e-11
+Constraint violation....:   1.8449570343692656e-10    1.8449570343692656e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8449570343692656e-10    1.8449570343692656e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.037
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.84e-10 3.86e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8644050850069818e-11    3.8644050850069818e-11
+Constraint violation....:   1.8434497331409894e-10    1.8434497331409894e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8434497331409894e-10    1.8434497331409894e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.097
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.46e+00 1.75e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.94e-05 3.67e-06  -3.8 2.40e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.90e-10 4.02e-11  -5.7 2.93e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0182677621815601e-11    4.0182677621815601e-11
+Constraint violation....:   1.8986391278619230e-10    1.8986391278619230e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8986391278619230e-10    1.8986391278619230e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.810
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8720984998263389e-11    3.8720984998263389e-11
+Constraint violation....:   1.8461700571070772e-10    1.8461700571070772e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8461700571070772e-10    1.8461700571070772e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.702
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.91e-05 3.62e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.89e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8907942987444826e-11    3.8907942987444826e-11
+Constraint violation....:   1.8523801242897875e-10    1.8523801242897875e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8523801242897875e-10    1.8523801242897875e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.686
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.61e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8697818705159245e-11    3.8697818705159245e-11
+Constraint violation....:   1.8462137721386718e-10    1.8462137721386718e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8462137721386718e-10    1.8462137721386718e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.489
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.63e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.88e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8814940785542009e-11    3.8814940785542009e-11
+Constraint violation....:   1.8485855207694968e-10    1.8485855207694968e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8485855207694968e-10    1.8485855207694968e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.615
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.90e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.39e-01  -1.0 2.73e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.45e+00 1.74e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.60e-02 2.39e-03  -1.0 3.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 3.61e-06  -3.8 2.39e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 3.87e-11  -5.7 2.89e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.8695053965815553e-11    3.8695053965815553e-11
+Constraint violation....:   1.8452405922686488e-10    1.8452405922686488e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8452405922686488e-10    1.8452405922686488e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.395
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-186.log b/solver_log/pf_ForkPoolWorker-186.log
new file mode 100644
index 0000000000000000000000000000000000000000..4a7dc7a903c2ae52d989d0cd722faeacc7b3903f
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-186.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.017
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.33e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.49e+00 1.78e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.45e-05 4.62e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.83e-10 6.46e-11  -5.7 3.85e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4556083494914131e-11    6.4556083494914131e-11
+Constraint violation....:   2.8321132591879739e-10    2.8321132591879739e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8321132591879739e-10    2.8321132591879739e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.856
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3766106691609967e-11    6.3766106691609967e-11
+Constraint violation....:   2.8072352081798257e-10    2.8072352081798257e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8072352081798257e-10    2.8072352081798257e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.775
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.73e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 4.58e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.80e-10 6.36e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3596217444739679e-11    6.3596217444739679e-11
+Constraint violation....:   2.8023492901207980e-10    2.8023492901207980e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8023492901207980e-10    2.8023492901207980e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.688
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3769280937747830e-11    6.3769280937747830e-11
+Constraint violation....:   2.8073304444986569e-10    2.8073304444986569e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8073304444986569e-10    2.8073304444986569e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.848
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.33e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.37e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3698920962864968e-11    6.3698920962864968e-11
+Constraint violation....:   2.8054440021074711e-10    2.8054440021074711e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8054440021074711e-10    2.8054440021074711e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.697
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3809675520182956e-11    6.3809675520182956e-11
+Constraint violation....:   2.8091150239273333e-10    2.8091150239273333e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8091150239273333e-10    2.8091150239273333e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.265
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3808390438900300e-11    6.3808390438900300e-11
+Constraint violation....:   2.8091527368157010e-10    2.8091527368157010e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8091527368157010e-10    2.8091527368157010e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.600
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3810349734775606e-11    6.3810349734775606e-11
+Constraint violation....:   2.8092242421173808e-10    2.8092242421173808e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8092242421173808e-10    2.8092242421173808e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.479
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3809808867105612e-11    6.3809808867105612e-11
+Constraint violation....:   2.8090889683807241e-10    2.8090889683807241e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8090889683807241e-10    2.8090889683807241e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.746
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.17e-03  -1.0 3.73e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 4.57e-06  -3.8 2.72e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.79e-10 6.33e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3300696320281482e-11    6.3300696320281482e-11
+Constraint violation....:   2.7925578169329945e-10    2.7925578169329945e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7925578169329945e-10    2.7925578169329945e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.266
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3821484470985806e-11    6.3821484470985806e-11
+Constraint violation....:   2.8095425638752225e-10    2.8095425638752225e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8095425638752225e-10    2.8095425638752225e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.241
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3807237596237122e-11    6.3807237596237122e-11
+Constraint violation....:   2.8090701639782445e-10    2.8090701639782445e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8090701639782445e-10    2.8090701639782445e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.139
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.31e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.47e+00 1.75e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.46e-02 2.16e-03  -1.0 3.72e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.36e-05 4.44e-06  -3.8 2.70e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.67e-10 5.95e-11  -5.7 3.73e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9501043185332727e-11    5.9501043185332727e-11
+Constraint violation....:   2.6744340769768726e-10    2.6744340769768726e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6744340769768726e-10    2.6744340769768726e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.152
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.33e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.49e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.60e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.40e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4041558752914644e-11    6.4041558752914644e-11
+Constraint violation....:   2.8143485458764772e-10    2.8143485458764772e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8143485458764772e-10    2.8143485458764772e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.006
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.49e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.45e-05 4.60e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.83e-10 6.42e-11  -5.7 3.84e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4248190511884217e-11    6.4248190511884217e-11
+Constraint violation....:   2.8278650601731847e-10    2.8278650601731847e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8278650601731847e-10    2.8278650601731847e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.037
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.73e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3816786298967151e-11    6.3816786298967151e-11
+Constraint violation....:   2.8094539888945391e-10    2.8094539888945391e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8094539888945391e-10    2.8094539888945391e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.987
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.33e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.50e+00 1.78e-01  -1.0 2.84e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.50e-02 2.20e-03  -1.0 3.75e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.37e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3725774669279381e-11    6.3725774669279381e-11
+Constraint violation....:   2.8068325441665820e-10    2.8068325441665820e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8068325441665820e-10    2.8068325441665820e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.773
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.39e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3900921332202496e-11    6.3900921332202496e-11
+Constraint violation....:   2.8121317080520569e-10    2.8121317080520569e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8121317080520569e-10    2.8121317080520569e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.850
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.92e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.76e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.17e-03  -1.0 3.73e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.60e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.85e-10 6.44e-11  -5.7 3.86e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4418268271803902e-11    6.4418268271803902e-11
+Constraint violation....:   2.8467883952942863e-10    2.8467883952942863e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8467883952942863e-10    2.8467883952942863e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.702
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 4.57e-06  -3.8 2.72e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.78e-10 6.32e-11  -5.7 3.81e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3202120446822851e-11    6.3202120446822851e-11
+Constraint violation....:   2.7843146191419699e-10    2.7843146191419699e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7843146191419699e-10    2.7843146191419699e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.632
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3802649749090807e-11    6.3802649749090807e-11
+Constraint violation....:   2.8090109405187746e-10    2.8090109405187746e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8090109405187746e-10    2.8090109405187746e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.481
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.99e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.48e+01 1.32e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.48e+00 1.77e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.47e-02 2.18e-03  -1.0 3.74e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.59e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.81e-10 6.38e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3769273312429675e-11    6.3769273312429675e-11
+Constraint violation....:   2.8077613151156200e-10    2.8077613151156200e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8077613151156200e-10    2.8077613151156200e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.420
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-3265.log b/solver_log/pf_ForkPoolWorker-3265.log
new file mode 100644
index 0000000000000000000000000000000000000000..1a65e103ddb4d7b1a1b8b9adbddb0d7b8bfe4ed4
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-3265.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.11e+00 1.75e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.13e-02 2.32e-03  -1.0 3.30e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.14e-05 5.35e-06  -3.8 2.59e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.41e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4138064085229231e-11    9.4138064085229231e-11
+Constraint violation....:   3.9354240352618142e-10    3.9354240352618142e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9354240352618142e-10    3.9354240352618142e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.533
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4355324059187164e-11    9.4355324059187164e-11
+Constraint violation....:   3.9351579286805993e-10    3.9351579286805993e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9351579286805993e-10    3.9351579286805993e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.411
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4299656568465202e-11    9.4299656568465202e-11
+Constraint violation....:   3.9333531223761931e-10    3.9333531223761931e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9333531223761931e-10    3.9333531223761931e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.450
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4346112905643392e-11    9.4346112905643392e-11
+Constraint violation....:   3.9349033406632650e-10    3.9349033406632650e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9349033406632650e-10    3.9349033406632650e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.693
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.74e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.34e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.92e-10 9.37e-11  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.3746423878425197e-11    9.3746423878425197e-11
+Constraint violation....:   3.9170469298688282e-10    3.9170469298688282e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9170469298688282e-10    3.9170469298688282e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.317
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.35e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.42e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4207745397710106e-11    9.4207745397710106e-11
+Constraint violation....:   3.9309895616401747e-10    3.9309895616401747e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9309895616401747e-10    3.9309895616401747e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.821
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.63e-01  -1.0 2.47e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.06e+00 1.71e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.29e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.19e-05 5.34e-06  -3.8 2.60e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.06e-10 9.54e-11  -5.7 4.20e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.5432101047505685e-11    9.5432101047505685e-11
+Constraint violation....:   4.0604760873086398e-10    4.0604760873086398e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.0604760873086398e-10    4.0604760873086398e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.689
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.14e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4420363004672955e-11    9.4420363004672955e-11
+Constraint violation....:   3.9383558914085626e-10    3.9383558914085626e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9383558914085626e-10    3.9383558914085626e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.479
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4266923907449549e-11    9.4266923907449549e-11
+Constraint violation....:   3.9320802169839908e-10    3.9320802169839908e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9320802169839908e-10    3.9320802169839908e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.914
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4356618133502062e-11    9.4356618133502062e-11
+Constraint violation....:   3.9353422257026871e-10    3.9353422257026871e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9353422257026871e-10    3.9353422257026871e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.589
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4310376368305443e-11    9.4310376368305443e-11
+Constraint violation....:   3.9337545373885341e-10    3.9337545373885341e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9337545373885341e-10    3.9337545373885341e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.349
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4352958101701964e-11    9.4352958101701964e-11
+Constraint violation....:   3.9351949129851072e-10    3.9351949129851072e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9351949129851072e-10    3.9351949129851072e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.570
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4300862011538543e-11    9.4300862011538543e-11
+Constraint violation....:   3.9340506546858833e-10    3.9340506546858833e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9340506546858833e-10    3.9340506546858833e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.144
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.66e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.10e-02 2.31e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.11e-05 5.34e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.89e-10 9.34e-11  -5.7 4.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.3357781444005873e-11    9.3357781444005873e-11
+Constraint violation....:   3.8947114630594193e-10    3.8947114630594193e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.8947114630594193e-10    3.8947114630594193e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.288
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4318947580654511e-11    9.4318947580654511e-11
+Constraint violation....:   3.9339307852936933e-10    3.9339307852936933e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9339307852936933e-10    3.9339307852936933e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.987
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4379888576074378e-11    9.4379888576074378e-11
+Constraint violation....:   3.9358068540384927e-10    3.9358068540384927e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9358068540384927e-10    3.9358068540384927e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.903
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4368883477069505e-11    9.4368883477069505e-11
+Constraint violation....:   3.9356892397868215e-10    3.9356892397868215e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9356892397868215e-10    3.9356892397868215e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.907
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4349637806338898e-11    9.4349637806338898e-11
+Constraint violation....:   3.9352756470156791e-10    3.9352756470156791e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9352756470156791e-10    3.9352756470156791e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.843
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.10e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.10e-02 2.31e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.14e-05 5.37e-06  -3.8 2.59e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.96e-10 9.49e-11  -5.7 4.13e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4892830294751956e-11    9.4892830294751956e-11
+Constraint violation....:   3.9579379357279620e-10    3.9579379357279620e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9579379357279620e-10    3.9579379357279620e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.832
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4358490390743441e-11    9.4358490390743441e-11
+Constraint violation....:   3.9352817532423146e-10    3.9352817532423146e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9352817532423146e-10    3.9352817532423146e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.706
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.14e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 9.44e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4401642719603793e-11    9.4401642719603793e-11
+Constraint violation....:   3.9371974777657748e-10    3.9371974777657748e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9371974777657748e-10    3.9371974777657748e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.655
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.17e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.74e+01 1.65e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.75e-01  -1.0 2.47e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.30e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.13e-05 5.36e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.93e-10 9.43e-11  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4310376368305443e-11    9.4310376368305443e-11
+Constraint violation....:   3.9337545373885341e-10    3.9337545373885341e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9337545373885341e-10    3.9337545373885341e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.575
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-3329.log b/solver_log/pf_ForkPoolWorker-3329.log
new file mode 100644
index 0000000000000000000000000000000000000000..8662d2f0fd0497bd9609fa5898b6d2922f9fee93
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-3329.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8114169408220033e-11    8.8114169408220033e-11
+Constraint violation....:   3.6263754152332517e-10    3.6263754152332517e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6263754152332517e-10    3.6263754152332517e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.116
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.08e-05 5.42e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.64e-10 8.86e-11  -5.7 4.35e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8586680934985327e-11    8.8586680934985327e-11
+Constraint violation....:   3.6399304056966564e-10    3.6399304056966564e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6399304056966564e-10    3.6399304056966564e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.152
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.75e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8141218710205691e-11    8.8141218710205691e-11
+Constraint violation....:   3.6280544887801192e-10    3.6280544887801192e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6280544887801192e-10    3.6280544887801192e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.227
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.75e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.08e-05 5.42e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.65e-10 8.88e-11  -5.7 4.35e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8772333813502073e-11    8.8772333813502073e-11
+Constraint violation....:   3.6474702772015810e-10    3.6474702772015810e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6474702772015810e-10    3.6474702772015810e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.108
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8104454667086381e-11    8.8104454667086381e-11
+Constraint violation....:   3.6259615449063531e-10    3.6259615449063531e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6259615449063531e-10    3.6259615449063531e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.629
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8114010592941437e-11    8.8114010592941437e-11
+Constraint violation....:   3.6264605554614526e-10    3.6264605554614526e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6264605554614526e-10    3.6264605554614526e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.267
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.62e-10 8.80e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.7969315753649174e-11    8.7969315753649174e-11
+Constraint violation....:   3.6220703519829200e-10    3.6220703519829200e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6220703519829200e-10    3.6220703519829200e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.174
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.62e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8069217415208291e-11    8.8069217415208291e-11
+Constraint violation....:   3.6239008668892403e-10    3.6239008668892403e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6239008668892403e-10    3.6239008668892403e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.297
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.32e-01  -1.0 2.49e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.91e+00 1.72e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.87e-02 2.09e-03  -1.0 3.03e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.96e-05 5.18e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.42e-10 8.11e-11  -5.7 4.21e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.1118482670203914e-11    8.1118482670203914e-11
+Constraint violation....:   3.4239951499093202e-10    3.4239951499093202e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.4239951499093202e-10    3.4239951499093202e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.166
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8113275871655856e-11    8.8113275871655856e-11
+Constraint violation....:   3.6264556288467809e-10    3.6264556288467809e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6264556288467809e-10    3.6264556288467809e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.083
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.36e-01  -1.0 2.52e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.06e-05 5.38e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.61e-10 8.75e-11  -5.7 4.33e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.7463703046848666e-11    8.7463703046848666e-11
+Constraint violation....:   3.6081473225868521e-10    3.6081473225868521e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6081473225868521e-10    3.6081473225868521e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.379
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.82e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8158245920804531e-11    8.8158245920804531e-11
+Constraint violation....:   3.6277952517038692e-10    3.6277952517038692e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6277952517038692e-10    3.6277952517038692e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.418
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.33e-01  -1.0 2.50e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.92e+00 1.72e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.10e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.98e-05 5.22e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.46e-10 8.24e-11  -5.7 4.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.2418210197943932e-11    8.2418210197943932e-11
+Constraint violation....:   3.4642398671902441e-10    3.4642398671902441e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.4642398671902441e-10    3.4642398671902441e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.299
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8101356251710355e-11    8.8101356251710355e-11
+Constraint violation....:   3.6259030153362737e-10    3.6259030153362737e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6259030153362737e-10    3.6259030153362737e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.875
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.75e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.09e-05 5.43e-06  -3.8 2.66e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.67e-10 8.93e-11  -5.7 4.37e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.9326084433258960e-11    8.9326084433258960e-11
+Constraint violation....:   3.6722079543860531e-10    3.6722079543860531e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6722079543860531e-10    3.6722079543860531e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.158
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.75e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.09e-05 5.43e-06  -3.8 2.66e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.66e-10 8.93e-11  -5.7 4.36e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.9265447066641839e-11    8.9265447066641839e-11
+Constraint violation....:   3.6646500070625088e-10    3.6646500070625088e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6646500070625088e-10    3.6646500070625088e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.987
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8055136772122011e-11    8.8055136772122011e-11
+Constraint violation....:   3.6250925525282973e-10    3.6250925525282973e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6250925525282973e-10    3.6250925525282973e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.431
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.62e-10 8.80e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8048546040443842e-11    8.8048546040443842e-11
+Constraint violation....:   3.6240990070046664e-10    3.6240990070046664e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6240990070046664e-10    3.6240990070046664e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.529
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8090869108258691e-11    8.8090869108258691e-11
+Constraint violation....:   3.6256633806353022e-10    3.6256633806353022e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6256633806353022e-10    3.6256633806353022e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.059
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.82e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8180518874885309e-11    8.8180518874885309e-11
+Constraint violation....:   3.6293644825602378e-10    3.6293644825602378e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6293644825602378e-10    3.6293644825602378e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.833
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8142187489219037e-11    8.8142187489219037e-11
+Constraint violation....:   3.6277688492125648e-10    3.6277688492125648e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6277688492125648e-10    3.6277688492125648e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.111
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.72e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.53e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.93e+00 1.74e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.88e-02 2.11e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.07e-05 5.40e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.63e-10 8.81e-11  -5.7 4.34e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.8123670579042366e-11    8.8123670579042366e-11
+Constraint violation....:   3.6267874120587962e-10    3.6267874120587962e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.6267874120587962e-10    3.6267874120587962e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.426
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-3554.log b/solver_log/pf_ForkPoolWorker-3554.log
new file mode 100644
index 0000000000000000000000000000000000000000..21f0f660332945c840013527a24481f25ef6be23
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-3554.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.70e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.69e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2745405349307994e-11    3.2745405349307994e-11
+Constraint violation....:   1.6938566868573979e-10    1.6938566868573979e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6938566868573979e-10    1.6938566868573979e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.263
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2665514972228714e-11    3.2665514972228714e-11
+Constraint violation....:   1.6847321454571684e-10    1.6847321454571684e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6847321454571684e-10    1.6847321454571684e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.455
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.61e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.20e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.26e-11  -5.7 2.64e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2597960935186788e-11    3.2597960935186788e-11
+Constraint violation....:   1.6778526137906091e-10    1.6778526137906091e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6778526137906091e-10    1.6778526137906091e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.453
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.49e-02 2.22e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.70e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.69e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2685293658112233e-11    3.2685293658112233e-11
+Constraint violation....:   1.6864783181080867e-10    1.6864783181080867e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6864783181080867e-10    1.6864783181080867e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.201
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2657499112398559e-11    3.2657499112398559e-11
+Constraint violation....:   1.6839292113490778e-10    1.6839292113490778e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6839292113490778e-10    1.6839292113490778e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.651
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.64e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2652157128690811e-11    3.2652157128690811e-11
+Constraint violation....:   1.6838239136340860e-10    1.6838239136340860e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6838239136340860e-10    1.6838239136340860e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.550
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2662226216673375e-11    3.2662226216673375e-11
+Constraint violation....:   1.6843509226260878e-10    1.6843509226260878e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6843509226260878e-10    1.6843509226260878e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.605
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2658029477925054e-11    3.2658029477925054e-11
+Constraint violation....:   1.6839694569337205e-10    1.6839694569337205e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6839694569337205e-10    1.6839694569337205e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.284
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2657051552711788e-11    3.2657051552711788e-11
+Constraint violation....:   1.6838669347762902e-10    1.6838669347762902e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6838669347762902e-10    1.6838669347762902e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.091
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.69e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2671136727308789e-11    3.2671136727308789e-11
+Constraint violation....:   1.6853428722041208e-10    1.6853428722041208e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6853428722041208e-10    1.6853428722041208e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.139
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.61e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.20e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.26e-11  -5.7 2.64e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2597965242542801e-11    3.2597965242542801e-11
+Constraint violation....:   1.6778664915784169e-10    1.6778664915784169e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6778664915784169e-10    1.6778664915784169e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.142
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2657457164686166e-11    3.2657457164686166e-11
+Constraint violation....:   1.6839165131732337e-10    1.6839165131732337e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6839165131732337e-10    1.6839165131732337e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.118
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.64e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2652157128690811e-11    3.2652157128690811e-11
+Constraint violation....:   1.6838239136340860e-10    1.6838239136340860e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6838239136340860e-10    1.6838239136340860e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.087
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.13e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.14e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.51e-02 2.22e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.66e-05 3.17e-06  -3.8 2.64e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.63e-10 3.22e-11  -5.7 2.61e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2196220132257124e-11    3.2196220132257124e-11
+Constraint violation....:   1.6341920872076088e-10    1.6341920872076088e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6341920872076088e-10    1.6341920872076088e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.202
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.71e-05 3.23e-06  -3.8 2.61e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.70e-10 3.28e-11  -5.7 2.66e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2809540476002066e-11    3.2809540476002066e-11
+Constraint violation....:   1.6996874047103816e-10    1.6996874047103816e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6996874047103816e-10    1.6996874047103816e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.053
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.70e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.69e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2675674660864914e-11    3.2675674660864914e-11
+Constraint violation....:   1.6860240981131369e-10    1.6860240981131369e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6860240981131369e-10    1.6860240981131369e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.131
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2656804426164457e-11    3.2656804426164457e-11
+Constraint violation....:   1.6838452160383710e-10    1.6838452160383710e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6838452160383710e-10    1.6838452160383710e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.039
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2655462719851063e-11    3.2655462719851063e-11
+Constraint violation....:   1.6837001584613098e-10    1.6837001584613098e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6837001584613098e-10    1.6837001584613098e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.076
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.69e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2673519396834488e-11    3.2673519396834488e-11
+Constraint violation....:   1.6855027443196668e-10    1.6855027443196668e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6855027443196668e-10    1.6855027443196668e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.100
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2657958911819159e-11    3.2657958911819159e-11
+Constraint violation....:   1.6839605751495235e-10    1.6839605751495235e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6839605751495235e-10    1.6839605751495235e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.000
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2665945104647874e-11    3.2665945104647874e-11
+Constraint violation....:   1.6848894154875005e-10    1.6848894154875005e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6848894154875005e-10    1.6848894154875005e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.998
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.89e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.59e+01 1.14e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.13e+00 1.59e-01  -1.0 2.73e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.48e-02 2.21e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.21e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.68e-10 3.27e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2655300902661362e-11    3.2655300902661362e-11
+Constraint violation....:   1.6837421040749589e-10    1.6837421040749589e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.6837421040749589e-10    1.6837421040749589e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.081
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-5246.log b/solver_log/pf_ForkPoolWorker-5246.log
new file mode 100644
index 0000000000000000000000000000000000000000..475ad412036670cef80979bc98d951675de2587e
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-5246.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.66e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.67e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.30e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3000502025879376e-11    5.3000502025879376e-11
+Constraint violation....:   1.9591949243502604e-10    1.9591949243502604e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9591949243502604e-10    1.9591949243502604e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.229
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3146098497542762e-11    5.3146098497542762e-11
+Constraint violation....:   1.9627612035666431e-10    1.9627612035666431e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9627612035666431e-10    1.9627612035666431e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.848
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.32e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3185464196032698e-11    5.3185464196032698e-11
+Constraint violation....:   1.9640420192978958e-10    1.9640420192978958e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9640420192978958e-10    1.9640420192978958e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.466
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.32e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3169571725490402e-11    5.3169571725490402e-11
+Constraint violation....:   1.9636154161006836e-10    1.9636154161006836e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9636154161006836e-10    1.9636154161006836e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.172
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.32e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3160820162784668e-11    5.3160820162784668e-11
+Constraint violation....:   1.9630683883997690e-10    1.9630683883997690e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9630683883997690e-10    1.9630683883997690e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.183
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3144274599264426e-11    5.3144274599264426e-11
+Constraint violation....:   1.9627315744896734e-10    1.9627315744896734e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9627315744896734e-10    1.9627315744896734e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.623
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.67e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.18e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.95e-05 4.66e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.95e-10 5.26e-11  -5.7 3.08e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.2649265438335779e-11    5.2649265438335779e-11
+Constraint violation....:   1.9504658652080842e-10    1.9504658652080842e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9504658652080842e-10    1.9504658652080842e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.890
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.97e-05 4.69e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.97e-10 5.35e-11  -5.7 3.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3502669277155200e-11    5.3502669277155200e-11
+Constraint violation....:   1.9739167245180766e-10    1.9739167245180766e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9739167245180766e-10    1.9739167245180766e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.629
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3139539781954728e-11    5.3139539781954728e-11
+Constraint violation....:   1.9630820233262902e-10    1.9630820233262902e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9630820233262902e-10    1.9630820233262902e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.905
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.20e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.66e-02 2.73e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.99e-05 4.73e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.00e-10 5.45e-11  -5.7 3.13e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.4485431789321380e-11    5.4485431789321380e-11
+Constraint violation....:   2.0002425757392750e-10    2.0002425757392750e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0002425757392750e-10    2.0002425757392750e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.978
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3095349795553568e-11    5.3095349795553568e-11
+Constraint violation....:   1.9625378405718763e-10    1.9625378405718763e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9625378405718763e-10    1.9625378405718763e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.430
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.66e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.30e-11  -5.7 3.08e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3021572304433709e-11    5.3021572304433709e-11
+Constraint violation....:   1.9559573405381059e-10    1.9559573405381059e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9559573405381059e-10    1.9559573405381059e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.821
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.64e-01  -1.0 2.68e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.49e+00 2.16e-01  -1.0 2.64e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.63e-02 2.70e-03  -1.0 3.65e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.90e-05 4.53e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.87e-10 4.97e-11  -5.7 3.01e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9656931416687890e-11    4.9656931416687890e-11
+Constraint violation....:   1.8704801596491905e-10    1.8704801596491905e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8704801596491905e-10    1.8704801596491905e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.931
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3141459706968347e-11    5.3141459706968347e-11
+Constraint violation....:   1.9626633651625980e-10    1.9626633651625980e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9626633651625980e-10    1.9626633651625980e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.085
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.97e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.97e-10 5.33e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3251673943586386e-11    5.3251673943586386e-11
+Constraint violation....:   1.9663191561103410e-10    1.9663191561103410e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9663191561103410e-10    1.9663191561103410e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.001
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.31e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3142319053644858e-11    5.3142319053644858e-11
+Constraint violation....:   1.9628697278673002e-10    1.9628697278673002e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9628697278673002e-10    1.9628697278673002e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.986
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.67e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.29e-11  -5.7 3.08e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.2927337490722358e-11    5.2927337490722358e-11
+Constraint violation....:   1.9571676571072949e-10    1.9571676571072949e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9571676571072949e-10    1.9571676571072949e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.885
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.32e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3159132674650799e-11    5.3159132674650799e-11
+Constraint violation....:   1.9632024478299925e-10    1.9632024478299925e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9632024478299925e-10    1.9632024478299925e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.920
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.53e+00 2.20e-01  -1.0 2.66e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.70e-02 2.75e-03  -1.0 3.69e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.97e-05 4.68e-06  -3.8 2.54e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.97e-10 5.30e-11  -5.7 3.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3009690666923327e-11    5.3009690666923327e-11
+Constraint violation....:   1.9663642589207164e-10    1.9663642589207164e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9663642589207164e-10    1.9663642589207164e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.904
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.66e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.97e-05 4.69e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.97e-10 5.33e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3265771812779458e-11    5.3265771812779458e-11
+Constraint violation....:   1.9683970425843356e-10    1.9683970425843356e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9683970425843356e-10    1.9683970425843356e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.867
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.66e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.98e-05 4.71e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.98e-10 5.38e-11  -5.7 3.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3821974079757469e-11    5.3821974079757469e-11
+Constraint violation....:   1.9847060453437315e-10    1.9847060453437315e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9847060453437315e-10    1.9847060453437315e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.833
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.70e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.68e-01  -1.0 2.71e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.51e+00 2.19e-01  -1.0 2.65e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.65e-02 2.72e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.96e-05 4.68e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 5.32e-11  -5.7 3.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.3156945812661539e-11    5.3156945812661539e-11
+Constraint violation....:   1.9631251138574335e-10    1.9631251138574335e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9631251138574335e-10    1.9631251138574335e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.763
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-5274.log b/solver_log/pf_ForkPoolWorker-5274.log
new file mode 100644
index 0000000000000000000000000000000000000000..c10b14980e1337dc64dcd10228bb78f0322ef359
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-5274.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.017
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.73e-10 7.52e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5218017046961123e-11    7.5218017046961123e-11
+Constraint violation....:   2.7298551960597273e-10    2.7298551960597273e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7298551960597273e-10    2.7298551960597273e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.548
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.17e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4963288466827266e-11    7.4963288466827266e-11
+Constraint violation....:   2.7216639358895733e-10    2.7216639358895733e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7216639358895733e-10    2.7216639358895733e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.397
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5010023150986882e-11    7.5010023150986882e-11
+Constraint violation....:   2.7229919014049031e-10    2.7229919014049031e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7229919014049031e-10    2.7229919014049031e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.858
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.60e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.17e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4973018603350035e-11    7.4973018603350035e-11
+Constraint violation....:   2.7222999549048055e-10    2.7222999549048055e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7222999549048055e-10    2.7222999549048055e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.692
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.64e+01 1.88e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.53e+00 2.54e-01  -1.0 2.92e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 5.17e-02 3.34e-03  -1.0 4.64e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 5.63e-05 8.00e-06  -3.8 3.32e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 7.81e-10 2.14e-10  -5.7 6.21e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   2.1418458671003455e-10    2.1418458671003455e-10
+Constraint violation....:   7.8096288463891383e-10    7.8096288463891383e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   7.8096288463891383e-10    7.8096288463891383e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.097
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5036402658898586e-11    7.5036402658898586e-11
+Constraint violation....:   2.7243807210197701e-10    2.7243807210197701e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7243807210197701e-10    2.7243807210197701e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.532
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5037967845861223e-11    7.5037967845861223e-11
+Constraint violation....:   2.7236805172359269e-10    2.7236805172359269e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7236805172359269e-10    2.7236805172359269e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.716
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5033532654626544e-11    7.5033532654626544e-11
+Constraint violation....:   2.7236309041445139e-10    2.7236309041445139e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7236309041445139e-10    2.7236309041445139e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.375
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5003830853150013e-11    7.5003830853150013e-11
+Constraint violation....:   2.7226012069836436e-10    2.7226012069836436e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7226012069836436e-10    2.7226012069836436e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.136
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5020297215140165e-11    7.5020297215140165e-11
+Constraint violation....:   2.7232907942598139e-10    2.7232907942598139e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7232907942598139e-10    2.7232907942598139e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.463
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.17e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.48e-11  -5.7 3.59e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4763496467537563e-11    7.4763496467537563e-11
+Constraint violation....:   2.7157699006297165e-10    2.7157699006297165e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7157699006297165e-10    2.7157699006297165e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.260
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.17e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4990596364201186e-11    7.4990596364201186e-11
+Constraint violation....:   2.7222300108542541e-10    2.7222300108542541e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7222300108542541e-10    2.7222300108542541e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.284
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.86e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.31e+00 2.44e-01  -1.0 2.84e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.64e-02 3.05e-03  -1.0 4.40e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 5.17e-06  -3.8 2.70e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.74e-10 7.50e-11  -5.7 3.61e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5001512838593320e-11    7.5001512838593320e-11
+Constraint violation....:   2.7379643691149980e-10    2.7379643691149980e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7379643691149980e-10    2.7379643691149980e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.360
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.88e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.32e+00 2.46e-01  -1.0 2.84e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.66e-02 3.07e-03  -1.0 4.41e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.45e-05 5.21e-06  -3.8 2.71e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.75e-10 7.59e-11  -5.7 3.62e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5871632426900486e-11    7.5871632426900486e-11
+Constraint violation....:   2.7505989499965189e-10    2.7505989499965189e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7505989499965189e-10    2.7505989499965189e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.855
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.82e-01  -1.0 2.86e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.26e+00 2.41e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.56e-02 3.00e-03  -1.0 4.35e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.39e-05 5.06e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.65e-10 7.19e-11  -5.7 3.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.1895446399183405e-11    7.1895446399183405e-11
+Constraint violation....:   2.6510224224174372e-10    2.6510224224174372e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6510224224174372e-10    2.6510224224174372e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.959
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.51e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5061097331159474e-11    7.5061097331159474e-11
+Constraint violation....:   2.7247439374211702e-10    2.7247439374211702e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7247439374211702e-10    2.7247439374211702e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.942
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5011818087079175e-11    7.5011818087079175e-11
+Constraint violation....:   2.7228223842268306e-10    2.7228223842268306e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7228223842268306e-10    2.7228223842268306e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.998
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5004363663529240e-11    7.5004363663529240e-11
+Constraint violation....:   2.7226386076217857e-10    2.7226386076217857e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7226386076217857e-10    2.7226386076217857e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.960
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.73e-10 7.51e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5116039827610503e-11    7.5116039827610503e-11
+Constraint violation....:   2.7259759033393394e-10    2.7259759033393394e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7259759033393394e-10    2.7259759033393394e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.849
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.29e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.59e-02 3.03e-03  -1.0 4.38e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.17e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4983646027458901e-11    7.4983646027458901e-11
+Constraint violation....:   2.7219043685633437e-10    2.7219043685633437e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7219043685633437e-10    2.7219043685633437e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.825
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.82e-01  -1.0 2.86e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.26e+00 2.41e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.57e-02 3.00e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.39e-05 5.06e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.65e-10 7.19e-11  -5.7 3.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.1874273704659161e-11    7.1874273704659161e-11
+Constraint violation....:   2.6514729994930875e-10    2.6514729994930875e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6514729994930875e-10    2.6514729994930875e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.686
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.94e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.87e-01  -1.0 2.91e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.30e+00 2.44e-01  -1.0 2.83e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.61e-02 3.04e-03  -1.0 4.39e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.43e-05 5.18e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.72e-10 7.50e-11  -5.7 3.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4997700091817904e-11    7.4997700091817904e-11
+Constraint violation....:   2.7237232261279054e-10    2.7237232261279054e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7237232261279054e-10    2.7237232261279054e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.587
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-5619.log b/solver_log/pf_ForkPoolWorker-5619.log
new file mode 100644
index 0000000000000000000000000000000000000000..2985a18f56c07c9cdf4e11e8acb034a3a5ba3232
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-5619.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.48e-01  -1.0 2.89e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.93e+00 1.99e-01  -1.0 2.84e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.81e-03  -1.0 4.15e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.19e-05 4.54e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.19e-10 5.48e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.4827233531654866e-11    5.4827233531654866e-11
+Constraint violation....:   2.1894454999005220e-10    2.1894454999005220e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1894454999005220e-10    2.1894454999005220e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.159
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3813493493890716e-11    6.3813493493890716e-11
+Constraint violation....:   2.4629876957393826e-10    2.4629876957393826e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4629876957393826e-10    2.4629876957393826e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.175
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.47e-10 6.39e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3899900545366589e-11    6.3899900545366589e-11
+Constraint violation....:   2.4663189199247704e-10    2.4663189199247704e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4663189199247704e-10    2.4663189199247704e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.411
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.33e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.37e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3663830537050080e-11    6.3663830537050080e-11
+Constraint violation....:   2.4586336438980894e-10    2.4586336438980894e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4586336438980894e-10    2.4586336438980894e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.610
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.98e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.39e-05 4.89e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.48e-10 6.42e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4156790210161400e-11    6.4156790210161400e-11
+Constraint violation....:   2.4758763789156646e-10    2.4758763789156646e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4758763789156646e-10    2.4758763789156646e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.764
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.37e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3731735553543446e-11    6.3731735553543446e-11
+Constraint violation....:   2.4606035611829391e-10    2.4606035611829391e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4606035611829391e-10    2.4606035611829391e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.347
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.47e-01  -1.0 2.88e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.94e+00 2.00e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.31e-02 2.82e-03  -1.0 4.17e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.24e-05 4.60e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.26e-10 5.66e-11  -5.7 3.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.6621597824016930e-11    5.6621597824016930e-11
+Constraint violation....:   2.2615432443418015e-10    2.2615432443418015e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2615432443418015e-10    2.2615432443418015e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.390
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.40e-05 4.91e-06  -3.8 2.69e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.49e-10 6.48e-11  -5.7 3.25e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4773522021827749e-11    6.4773522021827749e-11
+Constraint violation....:   2.4899182715643065e-10    2.4899182715643065e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4899182715643065e-10    2.4899182715643065e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.170
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.37e-05 4.86e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.45e-10 6.35e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3468406337437292e-11    6.3468406337437292e-11
+Constraint violation....:   2.4536664020025079e-10    2.4536664020025079e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4536664020025079e-10    2.4536664020025079e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.376
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.33e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.37e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3730020779754530e-11    6.3730020779754530e-11
+Constraint violation....:   2.4604639853320620e-10    2.4604639853320620e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4604639853320620e-10    2.4604639853320620e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.335
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.33e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.37e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.45e-10 6.35e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3527371748989750e-11    6.3527371748989750e-11
+Constraint violation....:   2.4548587815309553e-10    2.4548587815309553e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4548587815309553e-10    2.4548587815309553e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.454
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3815486639712235e-11    6.3815486639712235e-11
+Constraint violation....:   2.4629046371793528e-10    2.4629046371793528e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4629046371793528e-10    2.4629046371793528e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.332
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.70e-05 5.38e-06  -3.8 2.77e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.99e-10 8.01e-11  -5.7 3.63e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.0119756760597916e-11    8.0119756760597916e-11
+Constraint violation....:   2.9895495107234993e-10    2.9895495107234993e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.9895495107234993e-10    2.9895495107234993e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.655
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3805517827955178e-11    6.3805517827955178e-11
+Constraint violation....:   2.4625430861124897e-10    2.4625430861124897e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4625430861124897e-10    2.4625430861124897e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.706
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.98e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.37e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.36e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3566458587527122e-11    6.3566458587527122e-11
+Constraint violation....:   2.4554302688328811e-10    2.4554302688328811e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4554302688328811e-10    2.4554302688328811e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.928
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.47e-10 6.40e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.4001363832067806e-11    6.4001363832067806e-11
+Constraint violation....:   2.4701071049682000e-10    2.4701071049682000e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4701071049682000e-10    2.4701071049682000e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.473
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3836811786162274e-11    6.3836811786162274e-11
+Constraint violation....:   2.4635837814201977e-10    2.4635837814201977e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4635837814201977e-10    2.4635837814201977e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.673
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3793597515811550e-11    6.3793597515811550e-11
+Constraint violation....:   2.4622023864218079e-10    2.4622023864218079e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4622023864218079e-10    2.4622023864218079e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.261
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.51e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.33e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.87e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.37e-11  -5.7 3.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3729739666758388e-11    6.3729739666758388e-11
+Constraint violation....:   2.4601799070156360e-10    2.4601799070156360e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4601799070156360e-10    2.4601799070156360e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.467
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.52e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.97e+00 2.04e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.34e-02 2.86e-03  -1.0 4.19e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.38e-05 4.88e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.46e-10 6.38e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.3842188978486195e-11    6.3842188978486195e-11
+Constraint violation....:   2.4637848011765939e-10    2.4637848011765939e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.4637848011765939e-10    2.4637848011765939e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.181
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.53e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.98e+00 2.05e-01  -1.0 2.86e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.36e-02 2.87e-03  -1.0 4.20e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.44e-05 4.97e-06  -3.8 2.70e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.55e-10 6.65e-11  -5.7 3.30e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6530174453146858e-11    6.6530174453146858e-11
+Constraint violation....:   2.5536808431758651e-10    2.5536808431758651e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.5536808431758651e-10    2.5536808431758651e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.158
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.09e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.48e-01  -1.0 2.89e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.95e+00 2.00e-01  -1.0 2.85e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.32e-02 2.83e-03  -1.0 4.17e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.26e-05 4.63e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.29e-10 5.74e-11  -5.7 3.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.7409524679484136e-11    5.7409524679484136e-11
+Constraint violation....:   2.2852941761186685e-10    2.2852941761186685e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2852941761186685e-10    2.2852941761186685e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.281
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-5870.log b/solver_log/pf_ForkPoolWorker-5870.log
new file mode 100644
index 0000000000000000000000000000000000000000..3dbe07c372a0ebda5450ed5e841cc29e60a527d7
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-5870.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.80e-05 5.13e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 7.70e-11  -5.7 3.43e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.7003593162696648e-11    7.7003593162696648e-11
+Constraint violation....:   3.2366966398744701e-10    3.2366966398744701e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2366966398744701e-10    3.2366966398744701e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.935
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.86e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.77e-05 5.08e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.19e-10 7.56e-11  -5.7 3.40e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5627229198697544e-11    7.5627229198697544e-11
+Constraint violation....:   3.1925304760926920e-10    3.1925304760926920e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1925304760926920e-10    3.1925304760926920e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.780
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6505338221511588e-11    7.6505338221511588e-11
+Constraint violation....:   3.2234620875315478e-10    3.2234620875315478e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2234620875315478e-10    3.2234620875315478e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.490
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6508591696825773e-11    7.6508591696825773e-11
+Constraint violation....:   3.2238135425077807e-10    3.2238135425077807e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2238135425077807e-10    3.2238135425077807e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.038
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 7.66e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6620969706537974e-11    7.6620969706537974e-11
+Constraint violation....:   3.2278954509301627e-10    3.2278954509301627e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2278954509301627e-10    3.2278954509301627e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.459
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6508469053543935e-11    7.6508469053543935e-11
+Constraint violation....:   3.2238586106236866e-10    3.2238586106236866e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2238586106236866e-10    3.2238586106236866e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.578
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6499778516119274e-11    7.6499778516119274e-11
+Constraint violation....:   3.2233692104366440e-10    3.2233692104366440e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2233692104366440e-10    3.2233692104366440e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.660
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6502971941633726e-11    7.6502971941633726e-11
+Constraint violation....:   3.2234865818270286e-10    3.2234865818270286e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2234865818270286e-10    3.2234865818270286e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.623
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.64e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6430587215760160e-11    7.6430587215760160e-11
+Constraint violation....:   3.2206104103038591e-10    3.2206104103038591e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2206104103038591e-10    3.2206104103038591e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.142
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.69e-03  -1.0 3.52e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6536469478994894e-11    7.6536469478994894e-11
+Constraint violation....:   3.2204192784712760e-10    3.2204192784712760e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2204192784712760e-10    3.2204192784712760e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.382
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.64e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6410216868344008e-11    7.6410216868344008e-11
+Constraint violation....:   3.2203542957298659e-10    3.2203542957298659e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2203542957298659e-10    3.2203542957298659e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.347
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.64e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6442291657117960e-11    7.6442291657117960e-11
+Constraint violation....:   3.2205607625179766e-10    3.2205607625179766e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2205607625179766e-10    3.2205607625179766e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.355
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.69e-03  -1.0 3.52e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6537883419100997e-11    7.6537883419100997e-11
+Constraint violation....:   3.2251212811473806e-10    3.2251212811473806e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2251212811473806e-10    3.2251212811473806e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.322
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.78e-05 5.10e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.20e-10 7.60e-11  -5.7 3.41e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6004728541082709e-11    7.6004728541082709e-11
+Constraint violation....:   3.2032123134517754e-10    3.2032123134517754e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2032123134517754e-10    3.2032123134517754e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.244
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6538154866595519e-11    7.6538154866595519e-11
+Constraint violation....:   3.2281884110307857e-10    3.2281884110307857e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2281884110307857e-10    3.2281884110307857e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.542
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.69e-03  -1.0 3.52e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6529227844528909e-11    7.6529227844528909e-11
+Constraint violation....:   3.2241165640045644e-10    3.2241165640045644e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2241165640045644e-10    3.2241165640045644e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.796
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.81e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.35e+00 2.02e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.43e-02 2.67e-03  -1.0 3.50e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.76e-05 5.02e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.16e-10 7.40e-11  -5.7 3.38e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.4007727318454957e-11    7.4007727318454957e-11
+Constraint violation....:   3.1591807295172636e-10    3.1591807295172636e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1591807295172636e-10    3.1591807295172636e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.086
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.52e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.77e-05 5.08e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.19e-10 7.56e-11  -5.7 3.40e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5646200255111945e-11    7.5646200255111945e-11
+Constraint violation....:   3.1931663563300461e-10    3.1931663563300461e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1931663563300461e-10    3.1931663563300461e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.995
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.82e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.36e+00 2.03e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.77e-05 5.06e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.18e-10 7.52e-11  -5.7 3.40e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.5183967212598641e-11    7.5183967212598641e-11
+Constraint violation....:   3.1833942773507040e-10    3.1833942773507040e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1833942773507040e-10    3.1833942773507040e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.900
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6482354681297740e-11    7.6482354681297740e-11
+Constraint violation....:   3.2230495355944910e-10    3.2230495355944910e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2230495355944910e-10    3.2230495355944910e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.817
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 7.66e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6587355103634430e-11    7.6587355103634430e-11
+Constraint violation....:   3.2260514051807299e-10    3.2260514051807299e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2260514051807299e-10    3.2260514051807299e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.835
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.00e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.56e+01 1.83e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.37e+00 2.04e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.44e-02 2.68e-03  -1.0 3.51e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.79e-05 5.11e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.22e-10 7.65e-11  -5.7 3.42e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.6505105314995949e-11    7.6505105314995949e-11
+Constraint violation....:   3.2235850794259946e-10    3.2235850794259946e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2235850794259946e-10    3.2235850794259946e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.749
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-5923.log b/solver_log/pf_ForkPoolWorker-5923.log
new file mode 100644
index 0000000000000000000000000000000000000000..19719de5fcc5cb4d77c34bd64f248a41b43b24d8
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-5923.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1696052545453144e-10    1.1696052545453144e-10
+Constraint violation....:   3.7855478821069433e-10    3.7855478821069433e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7855478821069433e-10    3.7855478821069433e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.041
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1661756088614336e-10    1.1661756088614336e-10
+Constraint violation....:   3.7766839308672751e-10    3.7766839308672751e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7766839308672751e-10    3.7766839308672751e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.019
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.29e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.63e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.77e-10 1.16e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1630135965115112e-10    1.1630135965115112e-10
+Constraint violation....:   3.7741372874156021e-10    3.7741372874156021e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7741372874156021e-10    3.7741372874156021e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.300
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.65e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1698661526013736e-10    1.1698661526013736e-10
+Constraint violation....:   3.7859205700985221e-10    3.7859205700985221e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7859205700985221e-10    3.7859205700985221e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.279
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1663535681992707e-10    1.1663535681992707e-10
+Constraint violation....:   3.7763928442680061e-10    3.7763928442680061e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7763928442680061e-10    3.7763928442680061e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.180
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.17e+00 1.97e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.28e-02 2.52e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.20e-05 6.57e-06  -3.8 2.66e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.72e-10 1.14e-10  -5.7 4.23e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1440830306143230e-10    1.1440830306143230e-10
+Constraint violation....:   3.7215512269095363e-10    3.7215512269095363e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7215512269095363e-10    3.7215512269095363e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.664
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.28e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.65e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1699237766730417e-10    1.1699237766730417e-10
+Constraint violation....:   3.7862577309533130e-10    3.7862577309533130e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7862577309533130e-10    3.7862577309533130e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.272
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1682980549592257e-10    1.1682980549592257e-10
+Constraint violation....:   3.7819634576830019e-10    3.7819634576830019e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7819634576830019e-10    3.7819634576830019e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.435
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1679802777151658e-10    1.1679802777151658e-10
+Constraint violation....:   3.7813823947074887e-10    3.7813823947074887e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7813823947074887e-10    3.7813823947074887e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.866
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1676038564518266e-10    1.1676038564518266e-10
+Constraint violation....:   3.7803197031061053e-10    3.7803197031061053e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7803197031061053e-10    3.7803197031061053e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.117
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1681127592507783e-10    1.1681127592507783e-10
+Constraint violation....:   3.7823005838433232e-10    3.7823005838433232e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7823005838433232e-10    3.7823005838433232e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.297
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1684353001837273e-10    1.1684353001837273e-10
+Constraint violation....:   3.7824765541927263e-10    3.7824765541927263e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7824765541927263e-10    3.7824765541927263e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.492
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.24e-05 6.65e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1730040286191368e-10    1.1730040286191368e-10
+Constraint violation....:   3.7938637995060809e-10    3.7938637995060809e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7938637995060809e-10    3.7938637995060809e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.316
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.28e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1665828858604080e-10    1.1665828858604080e-10
+Constraint violation....:   3.7777308017905575e-10    3.7777308017905575e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7777308017905575e-10    3.7777308017905575e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.535
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1676744436807249e-10    1.1676744436807249e-10
+Constraint violation....:   3.7804201782898339e-10    3.7804201782898339e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7804201782898339e-10    3.7804201782898339e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.404
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.55e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.52e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1680501713063684e-10    1.1680501713063684e-10
+Constraint violation....:   3.7865113128310313e-10    3.7865113128310313e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7865113128310313e-10    3.7865113128310313e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.966
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.26e-05 6.70e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.83e-10 1.19e-10  -5.7 4.29e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1889378431046544e-10    1.1889378431046544e-10
+Constraint violation....:   3.8301674679108721e-10    3.8301674679108721e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.8301674679108721e-10    3.8301674679108721e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.169
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.28e-02 2.52e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.22e-05 6.63e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.77e-10 1.16e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1633228629133403e-10    1.1633228629133403e-10
+Constraint violation....:   3.7725403009836178e-10    3.7725403009836178e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7725403009836178e-10    3.7725403009836178e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.394
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.79e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1694092339899851e-10    1.1694092339899851e-10
+Constraint violation....:   3.7852251541514725e-10    3.7852251541514725e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7852251541514725e-10    3.7852251541514725e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.222
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.51e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.63e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1657915642010340e-10    1.1657915642010340e-10
+Constraint violation....:   3.7763927054901281e-10    3.7763927054901281e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7763927054901281e-10    3.7763927054901281e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.502
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.27e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1682869014553548e-10    1.1682869014553548e-10
+Constraint violation....:   3.7821275972182988e-10    3.7821275972182988e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7821275972182988e-10    3.7821275972182988e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.522
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.82e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.52e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.18e+00 1.98e-01  -1.0 2.48e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.53e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.23e-05 6.64e-06  -3.8 2.67e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.78e-10 1.17e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1669588332832944e-10    1.1669588332832944e-10
+Constraint violation....:   3.7782214856729723e-10    3.7782214856729723e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.7782214856729723e-10    3.7782214856729723e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.667
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-6747.log b/solver_log/pf_ForkPoolWorker-6747.log
new file mode 100644
index 0000000000000000000000000000000000000000..853f85a60e15134f217fb65967f25304f3404df4
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-6747.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.007
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4685962180623475e-11    9.4685962180623475e-11
+Constraint violation....:   3.0756101138118552e-10    3.0756101138118552e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0756101138118552e-10    3.0756101138118552e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.548
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.47e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.37e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.93e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.89e-05 6.18e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.14e-10 9.72e-11  -5.7 3.87e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.7248328923702293e-11    9.7248328923702293e-11
+Constraint violation....:   3.1444018916415573e-10    3.1444018916415573e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1444018916415573e-10    3.1444018916415573e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.220
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4689584333062003e-11    9.4689584333062003e-11
+Constraint violation....:   3.0757657532021199e-10    3.0757657532021199e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0757657532021199e-10    3.0757657532021199e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.333
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4738062259830439e-11    9.4738062259830439e-11
+Constraint violation....:   3.0769418263298931e-10    3.0769418263298931e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0769418263298931e-10    3.0769418263298931e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.319
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4675071684034585e-11    9.4675071684034585e-11
+Constraint violation....:   3.0752931798327943e-10    3.0752931798327943e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0752931798327943e-10    3.0752931798327943e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.408
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4711949291390691e-11    9.4711949291390691e-11
+Constraint violation....:   3.0765629280282702e-10    3.0765629280282702e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0765629280282702e-10    3.0765629280282702e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.470
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.07e-10 9.45e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4531653595378200e-11    9.4531653595378200e-11
+Constraint violation....:   3.0708633899645399e-10    3.0708633899645399e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0708633899645399e-10    3.0708633899645399e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.679
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.93e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.07e-10 9.46e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4553272403931810e-11    9.4553272403931810e-11
+Constraint violation....:   3.0724114918889711e-10    3.0724114918889711e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0724114918889711e-10    3.0724114918889711e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.385
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.84e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.07e-10 9.45e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4457174924370664e-11    9.4457174924370664e-11
+Constraint violation....:   3.0692235558626990e-10    3.0692235558626990e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0692235558626990e-10    3.0692235558626990e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.372
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.47e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.67e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.88e-05 6.17e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.13e-10 9.68e-11  -5.7 3.86e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.6755845465253070e-11    9.6755845465253070e-11
+Constraint violation....:   3.1268122119287867e-10    3.1268122119287867e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1268122119287867e-10    3.1268122119287867e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.472
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4655662530625483e-11    9.4655662530625483e-11
+Constraint violation....:   3.0755923155489917e-10    3.0755923155489917e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0755923155489917e-10    3.0755923155489917e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.431
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4713826589079698e-11    9.4713826589079698e-11
+Constraint violation....:   3.0766492478684349e-10    3.0766492478684349e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0766492478684349e-10    3.0766492478684349e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.367
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4715826251295239e-11    9.4715826251295239e-11
+Constraint violation....:   3.0764920125325723e-10    3.0764920125325723e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0764920125325723e-10    3.0764920125325723e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.539
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4682202103053748e-11    9.4682202103053748e-11
+Constraint violation....:   3.0755989074982004e-10    3.0755989074982004e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0755989074982004e-10    3.0755989074982004e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.562
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.86e-05 6.12e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.09e-10 9.53e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.5302926441588553e-11    9.5302926441588553e-11
+Constraint violation....:   3.0922463895022290e-10    3.0922463895022290e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0922463895022290e-10    3.0922463895022290e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.568
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.07e-10 9.46e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4648060337190440e-11    9.4648060337190440e-11
+Constraint violation....:   3.0747372356532132e-10    3.0747372356532132e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0747372356532132e-10    3.0747372356532132e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.342
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4704688266568063e-11    9.4704688266568063e-11
+Constraint violation....:   3.0763208647144324e-10    3.0763208647144324e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0763208647144324e-10    3.0763208647144324e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.347
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.11e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.48e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4779077430819507e-11    9.4779077430819507e-11
+Constraint violation....:   3.0790805322089554e-10    3.0790805322089554e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0790805322089554e-10    3.0790805322089554e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.522
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4670463412204608e-11    9.4670463412204608e-11
+Constraint violation....:   3.0751541243989600e-10    3.0751541243989600e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0751541243989600e-10    3.0751541243989600e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.218
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.51e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.11e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.48e-11  -5.7 3.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4787692343034128e-11    9.4787692343034128e-11
+Constraint violation....:   3.0790154800786063e-10    3.0790154800786063e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0790154800786063e-10    3.0790154800786063e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.020
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4686099160702363e-11    9.4686099160702363e-11
+Constraint violation....:   3.0756493185624123e-10    3.0756493185624123e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0756493185624123e-10    3.0756493185624123e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.058
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.80e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.66e+01 1.46e-01  -1.0 2.45e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.58e+00 1.66e-01  -1.0 2.38e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.50e-02 1.94e-03  -1.7 2.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.85e-05 6.10e-06  -3.8 2.57e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.08e-10 9.47e-11  -5.7 3.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.4690637264485609e-11    9.4690637264485609e-11
+Constraint violation....:   3.0757967353634008e-10    3.0757967353634008e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.0757967353634008e-10    3.0757967353634008e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.935
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-6760.log b/solver_log/pf_ForkPoolWorker-6760.log
new file mode 100644
index 0000000000000000000000000000000000000000..2de994a3049deeeeb6dde6f2468335b2b665acb5
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-6760.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.03e-01  -1.0 2.94e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.06e+00 2.27e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.16e-02 2.81e-03  -1.0 4.33e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.61e-05 3.99e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.54e-10 3.91e-11  -5.7 2.62e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.9071606540810462e-11    3.9071606540810462e-11
+Constraint violation....:   1.5382104964767329e-10    1.5382104964767329e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5382104964767329e-10    1.5382104964767329e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.444
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0621877266927515e-11    4.0621877266927515e-11
+Constraint violation....:   1.5731466129764726e-10    1.5731466129764726e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5731466129764726e-10    1.5731466129764726e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.669
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0636203413860342e-11    4.0636203413860342e-11
+Constraint violation....:   1.5736423622514373e-10    1.5736423622514373e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5736423622514373e-10    1.5736423622514373e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.796
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0621485859861564e-11    4.0621485859861564e-11
+Constraint violation....:   1.5731309310762498e-10    1.5731309310762498e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5731309310762498e-10    1.5731309310762498e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.998
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.04e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.35e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.05e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0504205029525262e-11    4.0504205029525262e-11
+Constraint violation....:   1.5699606198404936e-10    1.5699606198404936e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5699606198404936e-10    1.5699606198404936e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.928
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.04e-01  -1.0 2.98e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.08e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.17e-02 2.82e-03  -1.0 4.35e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.62e-05 4.02e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.54e-10 3.96e-11  -5.7 2.63e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.9605978698577477e-11    3.9605978698577477e-11
+Constraint violation....:   1.5435588571199865e-10    1.5435588571199865e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5435588571199865e-10    1.5435588571199865e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.895
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0620925087951344e-11    4.0620925087951344e-11
+Constraint violation....:   1.5731580968458836e-10    1.5731580968458836e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5731580968458836e-10    1.5731580968458836e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.504
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.08e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.58e-10 4.07e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0740587030677947e-11    4.0740587030677947e-11
+Constraint violation....:   1.5776125891764359e-10    1.5776125891764359e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5776125891764359e-10    1.5776125891764359e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.023
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.04e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0608329333718225e-11    4.0608329333718225e-11
+Constraint violation....:   1.5739337957954014e-10    1.5739337957954014e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5739337957954014e-10    1.5739337957954014e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.985
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.07e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0678671945405502e-11    4.0678671945405502e-11
+Constraint violation....:   1.5747778775443422e-10    1.5747778775443422e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5747778775443422e-10    1.5747778775443422e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.881
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.07e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.10e+00 2.32e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.21e-02 2.87e-03  -1.0 4.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.74e-05 4.28e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.70e-10 4.50e-11  -5.7 2.76e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.5042043987348038e-11    4.5042043987348038e-11
+Constraint violation....:   1.7001610536082623e-10    1.7001610536082623e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7001610536082623e-10    1.7001610536082623e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.690
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0625213820973270e-11    4.0625213820973270e-11
+Constraint violation....:   1.5731745767189054e-10    1.5731745767189054e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5731745767189054e-10    1.5731745767189054e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.052
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.30e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.19e-02 2.84e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.65e-05 4.08e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.58e-10 4.08e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0759254299208597e-11    4.0759254299208597e-11
+Constraint violation....:   1.5778640893859830e-10    1.5778640893859830e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5778640893859830e-10    1.5778640893859830e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.229
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.04e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.19e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.63e-05 4.04e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.55e-10 4.00e-11  -5.7 2.64e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.9992038525681379e-11    3.9992038525681379e-11
+Constraint violation....:   1.5545082582280045e-10    1.5545082582280045e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5545082582280045e-10    1.5545082582280045e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.495
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.65e-05 4.08e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.58e-10 4.08e-11  -5.7 2.66e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0807667009105258e-11    4.0807667009105258e-11
+Constraint violation....:   1.5796089089525900e-10    1.5796089089525900e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5796089089525900e-10    1.5796089089525900e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.179
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0624215640245240e-11    4.0624215640245240e-11
+Constraint violation....:   1.5731617050707136e-10    1.5731617050707136e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5731617050707136e-10    1.5731617050707136e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.126
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.08e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.58e-10 4.07e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0715659700338538e-11    4.0715659700338538e-11
+Constraint violation....:   1.5757386020998077e-10    1.5757386020998077e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5757386020998077e-10    1.5757386020998077e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.076
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0625998389563026e-11    4.0625998389563026e-11
+Constraint violation....:   1.5733263650230533e-10    1.5733263650230533e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5733263650230533e-10    1.5733263650230533e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.984
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.06e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0599718387425303e-11    4.0599718387425303e-11
+Constraint violation....:   1.5724268415118203e-10    1.5724268415118203e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5724268415118203e-10    1.5724268415118203e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.904
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.99e-01  -1.0 2.82e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.00e+00 2.22e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.14e-02 2.78e-03  -1.0 4.29e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.60e-05 3.89e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.52e-10 3.74e-11  -5.7 2.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.7377811031961794e-11    3.7377811031961794e-11
+Constraint violation....:   1.5167387137915433e-10    1.5167387137915433e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5167387137915433e-10    1.5167387137915433e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.886
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.30e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.19e-02 2.84e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.66e-05 4.09e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.59e-10 4.11e-11  -5.7 2.67e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.1137840669993555e-11    4.1137840669993555e-11
+Constraint violation....:   1.5920386536860676e-10    1.5920386536860676e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5920386536860676e-10    1.5920386536860676e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.789
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.96e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 2.05e-01  -1.0 2.99e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.09e+00 2.29e-01  -1.0 2.88e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.18e-02 2.83e-03  -1.0 4.36e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.64e-05 4.07e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.57e-10 4.05e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0519470425977695e-11    4.0519470425977695e-11
+Constraint violation....:   1.5698027946986493e-10    1.5698027946986493e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5698027946986493e-10    1.5698027946986493e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.735
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-7043.log b/solver_log/pf_ForkPoolWorker-7043.log
new file mode 100644
index 0000000000000000000000000000000000000000..6c5d898cebd0207d9f2f079ac5c9074ebe0abf43
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-7043.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.68e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9704356973994328e-11    4.9704356973994328e-11
+Constraint violation....:   2.1719334317160666e-10    2.1719334317160666e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1719334317160666e-10    2.1719334317160666e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.209
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9699558103731457e-11    4.9699558103731457e-11
+Constraint violation....:   2.1717743922677890e-10    2.1717743922677890e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1717743922677890e-10    2.1717743922677890e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.266
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9698771098717869e-11    4.9698771098717869e-11
+Constraint violation....:   2.1717408080212941e-10    2.1717408080212941e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1717408080212941e-10    2.1717408080212941e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.265
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.47e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.04e-05 4.17e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.21e-10 5.04e-11  -5.7 3.17e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.0439194064309437e-11    5.0439194064309437e-11
+Constraint violation....:   2.2068927241214453e-10    2.2068927241214453e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2068927241214453e-10    2.2068927241214453e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.263
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.44e+01 1.38e-01  -1.0 2.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.79e+00 2.05e-01  -1.0 2.59e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.04e-02 2.73e-03  -1.0 3.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.30e-05 2.85e-06  -3.8 2.22e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.23e-10 2.91e-11  -5.7 2.35e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   2.9064795182816696e-11    2.9064795182816696e-11
+Constraint violation....:   1.2330808249472192e-10    1.2330808249472192e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.2330808249472192e-10    1.2330808249472192e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.300
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9678614220738017e-11    4.9678614220738017e-11
+Constraint violation....:   2.1710469186309034e-10    2.1710469186309034e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1710469186309034e-10    2.1710469186309034e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.270
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.98e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.01e-05 4.14e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.16e-10 4.95e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9461418267449917e-11    4.9461418267449917e-11
+Constraint violation....:   2.1646567524569171e-10    2.1646567524569171e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1646567524569171e-10    2.1646567524569171e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.334
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9744910443660123e-11    4.9744910443660123e-11
+Constraint violation....:   2.1741462796764921e-10    2.1741462796764921e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1741462796764921e-10    2.1741462796764921e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.325
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.45e+01 1.62e-01  -1.0 2.56e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.92e+00 2.24e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.19e-02 2.89e-03  -1.0 4.01e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.74e-05 3.61e-06  -3.8 2.34e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 3.71e-11  -5.7 2.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.7097834497080964e-11    3.7097834497080964e-11
+Constraint violation....:   1.7697371346159230e-10    1.7697371346159230e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7697371346159230e-10    1.7697371346159230e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.338
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9696818386669111e-11    4.9696818386669111e-11
+Constraint violation....:   2.1717384487973668e-10    2.1717384487973668e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1717384487973668e-10    2.1717384487973668e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.338
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9699977178519561e-11    4.9699977178519561e-11
+Constraint violation....:   2.1719177845103133e-10    2.1719177845103133e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1719177845103133e-10    2.1719177845103133e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.872
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.78e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.37e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 3.00e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.03e-05 4.19e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.19e-10 5.05e-11  -5.7 3.16e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.0450119048382326e-11    5.0450119048382326e-11
+Constraint violation....:   2.1928503804446997e-10    2.1928503804446997e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1928503804446997e-10    2.1928503804446997e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.246
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9703388033521764e-11    4.9703388033521764e-11
+Constraint violation....:   2.1719142456744223e-10    2.1719142456744223e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1719142456744223e-10    2.1719142456744223e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.219
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.98e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.96e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9612711653642571e-11    4.9612711653642571e-11
+Constraint violation....:   2.1695607463345645e-10    2.1695607463345645e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1695607463345645e-10    2.1695607463345645e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.284
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.16e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.98e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9787430226482626e-11    4.9787430226482626e-11
+Constraint violation....:   2.1745483885782235e-10    2.1745483885782235e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1745483885782235e-10    2.1745483885782235e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.261
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.43e+01 1.57e-01  -1.0 2.52e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.85e+00 2.19e-01  -1.0 2.59e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.08e-02 2.81e-03  -1.0 3.95e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.51e-05 3.29e-06  -3.8 2.25e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.48e-10 3.19e-11  -5.7 2.58e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.1869551052119935e-11    3.1869551052119935e-11
+Constraint violation....:   1.4782261872903213e-10    1.4782261872903213e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4782261872903213e-10    1.4782261872903213e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.269
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.01e-05 4.14e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.16e-10 4.95e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9469750738511112e-11    4.9469750738511112e-11
+Constraint violation....:   2.1635162064659319e-10    2.1635162064659319e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1635162064659319e-10    2.1635162064659319e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.289
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9696197296132212e-11    4.9696197296132212e-11
+Constraint violation....:   2.1718170664652980e-10    2.1718170664652980e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1718170664652980e-10    2.1718170664652980e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.330
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.68e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9699122956309158e-11    4.9699122956309158e-11
+Constraint violation....:   2.1718709122819924e-10    2.1718709122819924e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1718709122819924e-10    2.1718709122819924e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.340
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9718920078586760e-11    4.9718920078586760e-11
+Constraint violation....:   2.1724774063036634e-10    2.1724774063036634e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1724774063036634e-10    2.1724774063036634e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.193
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.46e+01 1.77e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.99e+00 2.36e-01  -1.0 2.61e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.28e-02 2.99e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.02e-05 4.15e-06  -3.8 2.42e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.17e-10 4.97e-11  -5.7 3.14e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9678079898887374e-11    4.9678079898887374e-11
+Constraint violation....:   2.1713922673805008e-10    2.1713922673805008e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1713922673805008e-10    2.1713922673805008e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.297
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.91e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.47e+01 1.78e-01  -1.0 2.67e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 4.00e+00 2.37e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 4.29e-02 3.00e-03  -1.0 4.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.03e-05 4.19e-06  -3.8 2.43e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 5.06e-11  -5.7 3.16e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.0606500360542286e-11    5.0606500360542286e-11
+Constraint violation....:   2.1974633224175477e-10    2.1974633224175477e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1974633224175477e-10    2.1974633224175477e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.221
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-76.log b/solver_log/pf_ForkPoolWorker-76.log
new file mode 100644
index 0000000000000000000000000000000000000000..9e5f90a2dc7403564dc74a76a2690931787a108b
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-76.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.29e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.32e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.92e-02 2.20e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.75e-05 3.37e-06  -3.8 2.91e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.84e-10 4.12e-11  -5.7 3.33e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.1171648229700747e-11    4.1171648229700747e-11
+Constraint violation....:   1.8428591985752973e-10    1.8428591985752973e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8428591985752973e-10    1.8428591985752973e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.409
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.90e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.90e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0531464039503445e-11    4.0531464039503445e-11
+Constraint violation....:   1.7683573702576005e-10    1.7683573702576005e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7683573702576005e-10    1.7683573702576005e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.369
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.26e+00 1.30e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.88e-02 2.18e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.66e-05 3.32e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.73e-10 4.00e-11  -5.7 3.24e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0037854221305220e-11    4.0037854221305220e-11
+Constraint violation....:   1.7268124083424929e-10    1.7268124083424929e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7268124083424929e-10    1.7268124083424929e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.112
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.90e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.06e-11  -5.7 3.29e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0567328104859777e-11    4.0567328104859777e-11
+Constraint violation....:   1.7715365632775537e-10    1.7715365632775537e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7715365632775537e-10    1.7715365632775537e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.973
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0541111252452703e-11    4.0541111252452703e-11
+Constraint violation....:   1.7699979329433013e-10    1.7699979329433013e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7699979329433013e-10    1.7699979329433013e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.470
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.26e-01  -1.0 1.60e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.25e+00 1.29e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.88e-02 2.17e-03  -1.0 3.66e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.66e-05 3.33e-06  -3.8 2.90e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.73e-10 4.01e-11  -5.7 3.25e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0095305961663733e-11    4.0095305961663733e-11
+Constraint violation....:   1.7311998709579335e-10    1.7311998709579335e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7311998709579335e-10    1.7311998709579335e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.963
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0521273525621959e-11    4.0521273525621959e-11
+Constraint violation....:   1.7676566113622449e-10    1.7676566113622449e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7676566113622449e-10    1.7676566113622449e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.069
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.28e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.28e+00 1.32e-01  -1.0 2.75e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.91e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.74e-05 3.35e-06  -3.8 2.91e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.85e-10 4.15e-11  -5.7 3.36e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.1459210382744264e-11    4.1459210382744264e-11
+Constraint violation....:   1.8457716605135843e-10    1.8457716605135843e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.8457716605135843e-10    1.8457716605135843e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.044
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.28e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.90e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.90e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.06e-11  -5.7 3.29e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0561718533488885e-11    4.0561718533488885e-11
+Constraint violation....:   1.7708965197038573e-10    1.7708965197038573e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7708965197038573e-10    1.7708965197038573e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.010
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0522003717959477e-11    4.0522003717959477e-11
+Constraint violation....:   1.7677703745277995e-10    1.7677703745277995e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7677703745277995e-10    1.7677703745277995e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.976
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.90e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0519086350223724e-11    4.0519086350223724e-11
+Constraint violation....:   1.7675137048422940e-10    1.7675137048422940e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7675137048422940e-10    1.7675137048422940e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.965
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.28e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0547066836672320e-11    4.0547066836672320e-11
+Constraint violation....:   1.7698769880225562e-10    1.7698769880225562e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7698769880225562e-10    1.7698769880225562e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.932
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0517029655226213e-11    4.0517029655226213e-11
+Constraint violation....:   1.7673875904455905e-10    1.7673875904455905e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7673875904455905e-10    1.7673875904455905e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.057
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.76e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0483912953552900e-11    4.0483912953552900e-11
+Constraint violation....:   1.7645739383564951e-10    1.7645739383564951e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7645739383564951e-10    1.7645739383564951e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.088
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.29e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.28e+00 1.33e-01  -1.0 2.75e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.92e-02 2.20e-03  -1.0 3.69e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.71e-05 3.37e-06  -3.8 2.92e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.80e-10 4.09e-11  -5.7 3.31e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0925445336273529e-11    4.0925445336273529e-11
+Constraint violation....:   1.7995961318351128e-10    1.7995961318351128e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7995961318351128e-10    1.7995961318351128e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.988
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.62e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.26e+00 1.30e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.88e-02 2.18e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.66e-05 3.32e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.73e-10 4.01e-11  -5.7 3.25e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0115394600641669e-11    4.0115394600641669e-11
+Constraint violation....:   1.7333262256058468e-10    1.7333262256058468e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7333262256058468e-10    1.7333262256058468e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.952
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0520736118586291e-11    4.0520736118586291e-11
+Constraint violation....:   1.7676579991410257e-10    1.7676579991410257e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7676579991410257e-10    1.7676579991410257e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.28e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0536889928910474e-11    4.0536889928910474e-11
+Constraint violation....:   1.7689050571534359e-10    1.7689050571534359e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7689050571534359e-10    1.7689050571534359e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.972
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0521724723858897e-11    4.0521724723858897e-11
+Constraint violation....:   1.7677083755107681e-10    1.7677083755107681e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7677083755107681e-10    1.7677083755107681e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.082
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.28e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.06e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0550681642058480e-11    4.0550681642058480e-11
+Constraint violation....:   1.7703257609857914e-10    1.7703257609857914e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7703257609857914e-10    1.7703257609857914e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.927
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.18e-03  -1.0 3.67e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.76e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0461477942693911e-11    4.0461477942693911e-11
+Constraint violation....:   1.7625803941379026e-10    1.7625803941379026e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7625803941379026e-10    1.7625803941379026e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.954
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.16e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.68e+01 1.27e-01  -1.0 1.63e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.27e+00 1.31e-01  -1.0 2.74e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.89e-02 2.19e-03  -1.0 3.68e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.69e-05 3.33e-06  -3.8 2.89e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.77e-10 4.05e-11  -5.7 3.28e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.0520715080174111e-11    4.0520715080174111e-11
+Constraint violation....:   1.7675677588258054e-10    1.7675677588258054e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.7675677588258054e-10    1.7675677588258054e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.051
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-7823.log b/solver_log/pf_ForkPoolWorker-7823.log
new file mode 100644
index 0000000000000000000000000000000000000000..4161436e51351f1297b881220921f57bd1db26bb
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-7823.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.96e-05 4.13e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.26e-10 5.87e-11  -5.7 3.70e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8706122317222958e-11    5.8706122317222958e-11
+Constraint violation....:   3.2641098851593497e-10    3.2641098851593497e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2641098851593497e-10    3.2641098851593497e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.324
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8157013939168922e-11    5.8157013939168922e-11
+Constraint violation....:   3.2344011843821185e-10    3.2344011843821185e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2344011843821185e-10    3.2344011843821185e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.451
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.10e-01  -1.0 1.37e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.60e+00 1.24e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.82e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.88e-05 4.01e-06  -3.8 2.53e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.13e-10 5.53e-11  -5.7 3.62e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.5293672638416624e-11    5.5293672638416624e-11
+Constraint violation....:   3.1326212457383207e-10    3.1326212457383207e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1326212457383207e-10    3.1326212457383207e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.791
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8208191304577473e-11    5.8208191304577473e-11
+Constraint violation....:   3.2367143340539251e-10    3.2367143340539251e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2367143340539251e-10    3.2367143340539251e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.390
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.63e+00 1.26e-01  -1.0 2.52e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.94e-02 1.85e-03  -1.0 2.93e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.95e-05 4.12e-06  -3.8 2.56e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.81e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8135699534496632e-11    5.8135699534496632e-11
+Constraint violation....:   3.2405679528668685e-10    3.2405679528668685e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2405679528668685e-10    3.2405679528668685e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.072
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8211514831810504e-11    5.8211514831810504e-11
+Constraint violation....:   3.2369741956306264e-10    3.2369741956306264e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2369741956306264e-10    3.2369741956306264e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.947
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.10e-01  -1.0 1.37e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.60e+00 1.24e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.82e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.87e-05 3.98e-06  -3.8 2.53e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.11e-10 5.45e-11  -5.7 3.61e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.4474079553075656e-11    5.4474079553075656e-11
+Constraint violation....:   3.1109026119024996e-10    3.1109026119024996e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.1109026119024996e-10    3.1109026119024996e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.813
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.95e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.84e-11  -5.7 3.69e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8370024075954272e-11    5.8370024075954272e-11
+Constraint violation....:   3.2442654465669740e-10    3.2442654465669740e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2442654465669740e-10    3.2442654465669740e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.376
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8197822164381790e-11    5.8197822164381790e-11
+Constraint violation....:   3.2359815868576725e-10    3.2359815868576725e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2359815868576725e-10    3.2359815868576725e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 10.353
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8177130161338564e-11    5.8177130161338564e-11
+Constraint violation....:   3.2352881138009160e-10    3.2352881138009160e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2352881138009160e-10    3.2352881138009160e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.373
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.11e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 5.81e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8146413395286807e-11    5.8146413395286807e-11
+Constraint violation....:   3.2342345468450162e-10    3.2342345468450162e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2342345468450162e-10    3.2342345468450162e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.115
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8194968029677618e-11    5.8194968029677618e-11
+Constraint violation....:   3.2360098628503309e-10    3.2360098628503309e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2360098628503309e-10    3.2360098628503309e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.794
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8155012286526574e-11    5.8155012286526574e-11
+Constraint violation....:   3.2333588237398736e-10    3.2333588237398736e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2333588237398736e-10    3.2333588237398736e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.895
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8194984553290917e-11    5.8194984553290917e-11
+Constraint violation....:   3.2362107091343795e-10    3.2362107091343795e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2362107091343795e-10    3.2362107091343795e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.955
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.95e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.84e-11  -5.7 3.69e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8385784501852016e-11    5.8385784501852016e-11
+Constraint violation....:   3.2437236230364874e-10    3.2437236230364874e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2437236230364874e-10    3.2437236230364874e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.393
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.23e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8151283385019680e-11    5.8151283385019680e-11
+Constraint violation....:   3.2341555128434507e-10    3.2341555128434507e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2341555128434507e-10    3.2341555128434507e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.286
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8199702466717971e-11    5.8199702466717971e-11
+Constraint violation....:   3.2362745122638259e-10    3.2362745122638259e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2362745122638259e-10    3.2362745122638259e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.579
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.95e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.83e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8283173777772747e-11    5.8283173777772747e-11
+Constraint violation....:   3.2413259576369313e-10    3.2413259576369313e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2413259576369313e-10    3.2413259576369313e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.679
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.12e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.91e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.99e-05 4.19e-06  -3.8 2.56e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.32e-10 6.03e-11  -5.7 3.73e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.0330571075597290e-11    6.0330571075597290e-11
+Constraint violation....:   3.3216086131604428e-10    3.3216086131604428e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.3216086131604428e-10    3.3216086131604428e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.426
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 2.90e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 4.12e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.24e-10 5.82e-11  -5.7 3.68e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8181879668090883e-11    5.8181879668090883e-11
+Constraint violation....:   3.2353209000746119e-10    3.2353209000746119e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2353209000746119e-10    3.2353209000746119e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.822
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.60e+01 1.11e-01  -1.0 1.39e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.61e+00 1.26e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 2.91e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.96e-05 4.14e-06  -3.8 2.55e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.27e-10 5.90e-11  -5.7 3.70e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.8956239202293406e-11    5.8956239202293406e-11
+Constraint violation....:   3.2659404347601395e-10    3.2659404347601395e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2659404347601395e-10    3.2659404347601395e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.312
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.74e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.58e+01 1.08e-01  -1.0 1.33e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.56e+00 1.21e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.83e-02 1.78e-03  -1.7 2.86e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.58e-05 3.64e-06  -3.8 2.45e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.64e-10 4.43e-11  -5.7 3.32e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.4349230462551736e-11    4.4349230462551736e-11
+Constraint violation....:   2.6442774359036747e-10    2.6442774359036747e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6442774359036747e-10    2.6442774359036747e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.615
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-8357.log b/solver_log/pf_ForkPoolWorker-8357.log
new file mode 100644
index 0000000000000000000000000000000000000000..587c76a1e9d3c674f5e598fe67ce512baad32242
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-8357.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.49e-11  -5.7 2.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4876702765116407e-11    3.4876702765116407e-11
+Constraint violation....:   1.4436444747967236e-10    1.4436444747967236e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4436444747967236e-10    1.4436444747967236e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.049
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4845563904263007e-11    3.4845563904263007e-11
+Constraint violation....:   1.4410901638672868e-10    1.4410901638672868e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4410901638672868e-10    1.4410901638672868e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.229
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.82e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.41e-05 3.25e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.43e-10 3.47e-11  -5.7 2.81e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4711071721968460e-11    3.4711071721968460e-11
+Constraint violation....:   1.4305535922520818e-10    1.4305535922520818e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4305535922520818e-10    1.4305535922520818e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.318
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.49e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4852590603681759e-11    3.4852590603681759e-11
+Constraint violation....:   1.4417042559777826e-10    1.4417042559777826e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4417042559777826e-10    1.4417042559777826e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.249
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.68e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.82e+00 1.46e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.38e-05 3.19e-06  -3.8 2.30e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.39e-10 3.42e-11  -5.7 2.77e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4207138817761636e-11    3.4207138817761636e-11
+Constraint violation....:   1.3913709420720899e-10    1.3913709420720899e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.3913709420720899e-10    1.3913709420720899e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.361
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4839706918734557e-11    3.4839706918734557e-11
+Constraint violation....:   1.4406962775548315e-10    1.4406962775548315e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4406962775548315e-10    1.4406962775548315e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.767
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.37e-01  -1.0 2.68e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.82e+00 1.47e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.40e-05 3.21e-06  -3.8 2.30e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.41e-10 3.44e-11  -5.7 2.79e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4423466373137168e-11    3.4423466373137168e-11
+Constraint violation....:   1.4079406737699252e-10    1.4079406737699252e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4079406737699252e-10    1.4079406737699252e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.310
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.39e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.84e+00 1.49e-01  -1.0 2.63e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.72e-02 1.81e-03  -1.7 3.12e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.45e-05 3.31e-06  -3.8 2.32e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.47e-10 3.52e-11  -5.7 2.85e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.5221745924984485e-11    3.5221745924984485e-11
+Constraint violation....:   1.4707249307299719e-10    1.4707249307299719e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4707249307299719e-10    1.4707249307299719e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.515
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4844012122174423e-11    3.4844012122174423e-11
+Constraint violation....:   1.4410170626200092e-10    1.4410170626200092e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4410170626200092e-10    1.4410170626200092e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.830
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.39e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.49e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4867682285752377e-11    3.4867682285752377e-11
+Constraint violation....:   1.4428557307266665e-10    1.4428557307266665e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4428557307266665e-10    1.4428557307266665e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.264
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.39e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.70e-02 1.80e-03  -1.7 3.11e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.54e-05 3.43e-06  -3.8 2.32e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.59e-10 3.53e-11  -5.7 2.86e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.5318983429473061e-11    3.5318983429473061e-11
+Constraint violation....:   1.5606477915541817e-10    1.5945111897508468e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.5606477915541817e-10    1.5945111897508468e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.088
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4849693008095350e-11    3.4849693008095350e-11
+Constraint violation....:   1.4414754112568318e-10    1.4414754112568318e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4414754112568318e-10    1.4414754112568318e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.178
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.39e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.80e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.43e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.45e-10 3.49e-11  -5.7 2.83e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4936743419006786e-11    3.4936743419006786e-11
+Constraint violation....:   1.4483390875508206e-10    1.4483390875508206e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4483390875508206e-10    1.4483390875508206e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.146
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.84e+00 1.48e-01  -1.0 2.63e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.72e-02 1.81e-03  -1.7 3.12e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.26e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.49e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4859487271511112e-11    3.4859487271511112e-11
+Constraint violation....:   1.4418199273391608e-10    1.4418199273391608e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4418199273391608e-10    1.4418199273391608e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.671
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.36e-01  -1.0 2.61e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.80e+00 1.43e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.68e-02 1.77e-03  -1.7 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.29e-05 3.00e-06  -3.8 2.27e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.28e-10 3.28e-11  -5.7 2.65e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2750337383180779e-11    3.2750337383180779e-11
+Constraint violation....:   1.2789586750772131e-10    1.2789586750772131e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.2789586750772131e-10    1.2789586750772131e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.207
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.49e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4853727114370891e-11    3.4853727114370891e-11
+Constraint violation....:   1.4417725693882666e-10    1.4417725693882666e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4417725693882666e-10    1.4417725693882666e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.176
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4843283645596833e-11    3.4843283645596833e-11
+Constraint violation....:   1.4409720638930423e-10    1.4409720638930423e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4409720638930423e-10    1.4409720638930423e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.727
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.32e-01  -1.0 2.54e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.78e+00 1.40e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.67e-02 1.75e-03  -1.7 3.07e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.26e-05 2.90e-06  -3.8 2.26e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.24e-10 3.23e-11  -5.7 2.61e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.2261876414764778e-11    3.2261876414764778e-11
+Constraint violation....:   1.2424038187131003e-10    1.2424038187131003e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.2424038187131003e-10    1.2424038187131003e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.069
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.26e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4817616332717390e-11    3.4817616332717390e-11
+Constraint violation....:   1.4389331393083182e-10    1.4389331393083182e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4389331393083182e-10    1.4389331393083182e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.018
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4843226866842650e-11    3.4843226866842650e-11
+Constraint violation....:   1.4409686638350294e-10    1.4409686638350294e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4409686638350294e-10    1.4409686638350294e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.155
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.39e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.49e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.70e-02 1.80e-03  -1.7 3.11e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.44e-05 3.31e-06  -3.8 2.32e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.46e-10 3.51e-11  -5.7 2.85e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.5127495040459821e-11    3.5127495040459821e-11
+Constraint violation....:   1.4636466691420047e-10    1.4636466691420047e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4636466691420047e-10    1.4636466691420047e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.063
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.51e+01 1.38e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.83e+00 1.48e-01  -1.0 2.62e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.69e-02 1.79e-03  -1.7 3.10e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 2.42e-05 3.27e-06  -3.8 2.31e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.44e-10 3.48e-11  -5.7 2.82e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4843120440476620e-11    3.4843120440476620e-11
+Constraint violation....:   1.4409543003246483e-10    1.4409543003246483e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.4409543003246483e-10    1.4409543003246483e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.070
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-8414.log b/solver_log/pf_ForkPoolWorker-8414.log
new file mode 100644
index 0000000000000000000000000000000000000000..c32655d6d8461f68d484302022096f450b80dd04
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-8414.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0538089559741328e-10    1.0538089559741328e-10
+Constraint violation....:   3.9498355627887172e-10    3.9498355627887172e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9498355627887172e-10    3.9498355627887172e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.869
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539726340808118e-10    1.0539726340808118e-10
+Constraint violation....:   3.9503549736918941e-10    3.9503549736918941e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9503549736918941e-10    3.9503549736918941e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.042
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.54e+01 1.41e-01  -1.0 2.49e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.16e+00 1.76e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.17e-02 2.33e-03  -1.0 3.32e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.94e-05 5.27e-06  -3.8 2.50e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.28e-10 8.20e-11  -5.7 3.72e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   8.2003602053907296e-11    8.2003602053907296e-11
+Constraint violation....:   3.2807134439649666e-10    3.2807134439649666e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.2807134439649666e-10    3.2807134439649666e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.119
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.96e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 1.05e-10  -5.7 4.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0503906968714715e-10    1.0503906968714715e-10
+Constraint violation....:   3.9409966262615725e-10    3.9409966262615725e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9409966262615725e-10    3.9409966262615725e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.089
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.96e-10 1.06e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0554396063697295e-10    1.0554396063697295e-10
+Constraint violation....:   3.9555006839386841e-10    3.9555006839386841e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9555006839386841e-10    3.9555006839386841e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.624
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.50e+01 1.30e-01  -1.0 2.30e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.00e+00 1.59e-01  -1.0 2.46e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.96e-02 2.13e-03  -1.0 3.18e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.11e-05 3.89e-06  -3.8 2.25e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.00e-10 4.30e-11  -5.7 2.88e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.3002862000601927e-11    4.3002862000601927e-11
+Constraint violation....:   2.0016805921119207e-10    2.0016805921119207e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0016805921119207e-10    2.0016805921119207e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.471
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.22e+00 1.84e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.29e-05 5.95e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.94e-10 1.05e-10  -5.7 4.10e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0489913658976874e-10    1.0489913658976874e-10
+Constraint violation....:   3.9355317615896723e-10    3.9355317615896723e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9355317615896723e-10    3.9355317615896723e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.065
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539349469415291e-10    1.0539349469415291e-10
+Constraint violation....:   3.9502227530685552e-10    3.9502227530685552e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9502227530685552e-10    3.9502227530685552e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.396
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.31e-05 5.99e-06  -3.8 2.59e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.98e-10 1.06e-10  -5.7 4.12e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0618018912124192e-10    1.0618018912124192e-10
+Constraint violation....:   3.9751468783322252e-10    3.9751468783322252e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9751468783322252e-10    3.9751468783322252e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.174
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539402340956054e-10    1.0539402340956054e-10
+Constraint violation....:   3.9502545678971046e-10    3.9502545678971046e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9502545678971046e-10    3.9502545678971046e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.852
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.96e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0538014151490123e-10    1.0538014151490123e-10
+Constraint violation....:   3.9501450027623619e-10    3.9501450027623619e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9501450027623619e-10    3.9501450027623619e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.314
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539095871243482e-10    1.0539095871243482e-10
+Constraint violation....:   3.9503087259640246e-10    3.9503087259640246e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9503087259640246e-10    3.9503087259640246e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.778
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.06e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0551644753642775e-10    1.0551644753642775e-10
+Constraint violation....:   3.9539197263516179e-10    3.9539197263516179e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9539197263516179e-10    3.9539197263516179e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 9.169
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539615822032748e-10    1.0539615822032748e-10
+Constraint violation....:   3.9507802931937341e-10    3.9507802931937341e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9507802931937341e-10    3.9507802931937341e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.942
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.59e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0549381255336129e-10    1.0549381255336129e-10
+Constraint violation....:   3.9540001134374947e-10    3.9540001134374947e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9540001134374947e-10    3.9540001134374947e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.652
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0539765284857385e-10    1.0539765284857385e-10
+Constraint violation....:   3.9504918780686182e-10    3.9504918780686182e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9504918780686182e-10    3.9504918780686182e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.023
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0537789850882704e-10    1.0537789850882704e-10
+Constraint violation....:   3.9500791873536834e-10    3.9500791873536834e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9500791873536834e-10    3.9500791873536834e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.274
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.22e+00 1.84e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.24e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.28e-05 5.95e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.92e-10 1.04e-10  -5.7 4.09e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0448461180037406e-10    1.0448461180037406e-10
+Constraint violation....:   3.9180158076246308e-10    3.9180158076246308e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9180158076246308e-10    3.9180158076246308e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.096
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.39e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0538988246627652e-10    1.0538988246627652e-10
+Constraint violation....:   3.9501637377759025e-10    3.9501637377759025e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9501637377759025e-10    3.9501637377759025e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.207
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.96e-06  -3.8 2.58e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.95e-10 1.05e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0531019107678120e-10    1.0531019107678120e-10
+Constraint violation....:   3.9479525551500139e-10    3.9479525551500139e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9479525551500139e-10    3.9479525551500139e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.246
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.21e+00 1.84e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.23e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.30e-05 5.97e-06  -3.8 2.59e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.96e-10 1.06e-10  -5.7 4.11e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0558108230835463e-10    1.0558108230835463e-10
+Constraint violation....:   3.9557453493377359e-10    3.9557453493377359e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.9557453493377359e-10    3.9557453493377359e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.115
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.87e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.46e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.22e+00 1.84e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.24e-02 2.40e-03  -1.0 3.37e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.36e-05 6.05e-06  -3.8 2.60e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.07e-10 1.09e-10  -5.7 4.17e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.0898749321007172e-10    1.0898749321007172e-10
+Constraint violation....:   4.0725155539544922e-10    4.0725155539544922e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.0725155539544922e-10    4.0725155539544922e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.145
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-8766.log b/solver_log/pf_ForkPoolWorker-8766.log
new file mode 100644
index 0000000000000000000000000000000000000000..64be0a9649e1d7e8a5ed47d6dab40e75524cdcb0
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-8766.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.78e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7788639055113875e-11    4.7788639055113875e-11
+Constraint violation....:   2.0350287080472818e-10    2.0350287080472818e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0350287080472818e-10    2.0350287080472818e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.224
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7899410994787004e-11    4.7899410994787004e-11
+Constraint violation....:   2.0397320638076977e-10    2.0397320638076977e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0397320638076977e-10    2.0397320638076977e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.229
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.78e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7801662553579557e-11    4.7801662553579557e-11
+Constraint violation....:   2.0356404756283197e-10    2.0356404756283197e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0356404756283197e-10    2.0356404756283197e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.063
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7884937416582814e-11    4.7884937416582814e-11
+Constraint violation....:   2.0380163875954871e-10    2.0380163875954871e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0380163875954871e-10    2.0380163875954871e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.082
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.82e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.17e-05 4.15e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.06e-10 4.85e-11  -5.7 3.07e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8532224617067383e-11    4.8532224617067383e-11
+Constraint violation....:   2.0593245511624225e-10    2.0593245511624225e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0593245511624225e-10    2.0593245511624225e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.249
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7888888183657102e-11    4.7888888183657102e-11
+Constraint violation....:   2.0380359205818266e-10    2.0380359205818266e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0380359205818266e-10    2.0380359205818266e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.126
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.08e-01  -1.0 2.54e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.98e+00 1.39e-01  -1.0 2.70e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.80e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.09e-05 3.90e-06  -3.8 2.45e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.96e-10 4.34e-11  -5.7 2.99e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.3382075811846415e-11    4.3382075811846415e-11
+Constraint violation....:   1.9587428207179514e-10    1.9587428207179514e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9587428207179514e-10    1.9587428207179514e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.103
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7886605580000829e-11    4.7886605580000829e-11
+Constraint violation....:   2.0377181886299667e-10    2.0377181886299667e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0377181886299667e-10    2.0377181886299667e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.143
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.07e-01  -1.0 2.49e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.96e+00 1.37e-01  -1.0 2.70e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.79e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.07e-05 3.83e-06  -3.8 2.45e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.93e-10 4.20e-11  -5.7 2.97e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.2021334344173712e-11    4.2021334344173712e-11
+Constraint violation....:   1.9314771310119383e-10    1.9314771310119383e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9314771310119383e-10    1.9314771310119383e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.100
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.14e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.45e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.01e-02 1.89e-03  -1.0 3.39e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.16e-05 4.16e-06  -3.8 2.49e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.05e-10 4.85e-11  -5.7 3.07e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8496934945955646e-11    4.8496934945955646e-11
+Constraint violation....:   2.0509411183255999e-10    2.0509411183255999e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0509411183255999e-10    2.0509411183255999e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.070
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.16e-05 4.13e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.05e-10 4.82e-11  -5.7 3.06e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8227195455601524e-11    4.8227195455601524e-11
+Constraint violation....:   2.0523418381435121e-10    2.0523418381435121e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0523418381435121e-10    2.0523418381435121e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.283
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7921923778834632e-11    4.7921923778834632e-11
+Constraint violation....:   2.0389585506097596e-10    2.0389585506097596e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0389585506097596e-10    2.0389585506097596e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.096
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.55e+01 1.16e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.48e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.91e-02 1.86e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 5.23e-05 6.92e-06  -3.8 2.44e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 5.29e-10 1.44e-10  -5.7 3.70e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.4409247899927715e-10    1.4409247899927715e-10
+Constraint violation....:   5.2912011230810130e-10    5.2912011230810130e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.2912011230810130e-10    5.2912011230810130e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.190
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.82e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.16e-05 4.13e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.05e-10 4.82e-11  -5.7 3.06e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8200837876297735e-11    4.8200837876297735e-11
+Constraint violation....:   2.0510642143034552e-10    2.0510642143034552e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0510642143034552e-10    2.0510642143034552e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.298
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.17e-05 4.15e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.06e-10 4.86e-11  -5.7 3.06e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8550115883169384e-11    4.8550115883169384e-11
+Constraint violation....:   2.0585281049201321e-10    2.0585281049201321e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0585281049201321e-10    2.0585281049201321e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.051
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7894004626559904e-11    4.7894004626559904e-11
+Constraint violation....:   2.0379830462102788e-10    2.0379830462102788e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0379830462102788e-10    2.0379830462102788e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.117
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.79e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7886761328771827e-11    4.7886761328771827e-11
+Constraint violation....:   2.0379726725638925e-10    2.0379726725638925e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0379726725638925e-10    2.0379726725638925e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.969
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.29e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.16e-05 4.14e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.05e-10 4.83e-11  -5.7 3.06e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.8260155908647591e-11    4.8260155908647591e-11
+Constraint violation....:   2.0542751527630188e-10    2.0542751527630188e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0542751527630188e-10    2.0542751527630188e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.964
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.45e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.18e-05 4.17e-06  -3.8 2.47e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.08e-10 4.92e-11  -5.7 3.08e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.9178148351535141e-11    4.9178148351535141e-11
+Constraint violation....:   2.0797335728572897e-10    2.0797335728572897e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0797335728572897e-10    2.0797335728572897e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.193
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.10e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.82e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.14e-05 4.11e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.03e-10 4.75e-11  -5.7 3.04e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7491604278245855e-11    4.7491604278245855e-11
+Constraint violation....:   2.0268350539587310e-10    2.0268350539587310e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0268350539587310e-10    2.0268350539587310e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.030
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.89e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.03e-10 4.78e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7799277054233944e-11    4.7799277054233944e-11
+Constraint violation....:   2.0349999116375805e-10    2.0349999116375805e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0349999116375805e-10    2.0349999116375805e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.051
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 2.03e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.49e+01 1.11e-01  -1.0 2.70e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.04e+00 1.44e-01  -1.0 2.69e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 2.90e-02 1.83e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.15e-05 4.12e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.04e-10 4.78e-11  -5.7 3.05e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   4.7815100993891044e-11    4.7815100993891044e-11
+Constraint violation....:   2.0363199321193903e-10    2.0363199321193903e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.0363199321193903e-10    2.0363199321193903e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.021
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-8827.log b/solver_log/pf_ForkPoolWorker-8827.log
new file mode 100644
index 0000000000000000000000000000000000000000..c2b8d7525945409645c56e9fed26af6de9cff9e2
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-8827.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6275417707236451e-11    6.6275417707236451e-11
+Constraint violation....:   2.6978272914257584e-10    2.6978272914257584e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6978272914257584e-10    2.6978272914257584e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.534
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6288150354662389e-11    6.6288150354662389e-11
+Constraint violation....:   2.6979756276301892e-10    2.6979756276301892e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6979756276301892e-10    2.6979756276301892e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.580
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6365847329073527e-11    6.6365847329073527e-11
+Constraint violation....:   2.7007634670339620e-10    2.7007634670339620e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7007634670339620e-10    2.7007634670339620e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.419
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.10e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.71e-10 6.65e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6512735198291498e-11    6.6512735198291498e-11
+Constraint violation....:   2.7087366898104204e-10    2.7087366898104204e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7087366898104204e-10    2.7087366898104204e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.846
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.10e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.45e-05 4.85e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.69e-10 6.61e-11  -5.7 3.50e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6100781358922574e-11    6.6100781358922574e-11
+Constraint violation....:   2.6921946096047922e-10    2.6921946096047922e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6921946096047922e-10    2.6921946096047922e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.782
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.62e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.10e+00 1.92e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.13e-02 2.49e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.51e-05 4.91e-06  -3.8 2.48e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.79e-10 6.83e-11  -5.7 3.57e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.8298789302424694e-11    6.8298789302424694e-11
+Constraint violation....:   2.7861091211889288e-10    2.7861091211889288e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7861091211889288e-10    2.7861091211889288e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.883
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6384267006204535e-11    6.6384267006204535e-11
+Constraint violation....:   2.7011376295404954e-10    2.7011376295404954e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7011376295404954e-10    2.7011376295404954e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.337
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6354231014167913e-11    6.6354231014167913e-11
+Constraint violation....:   2.7002871119674587e-10    2.7002871119674587e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7002871119674587e-10    2.7002871119674587e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.330
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6347862204562013e-11    6.6347862204562013e-11
+Constraint violation....:   2.7000575907043523e-10    2.7000575907043523e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7000575907043523e-10    2.7000575907043523e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.215
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6364008098991707e-11    6.6364008098991707e-11
+Constraint violation....:   2.7007889674690588e-10    2.7007889674690588e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7007889674690588e-10    2.7007889674690588e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.815
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6312322915853196e-11    6.6312322915853196e-11
+Constraint violation....:   2.6987001522371656e-10    2.6987001522371656e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6987001522371656e-10    2.6987001522371656e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.535
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6354480359604283e-11    6.6354480359604283e-11
+Constraint violation....:   2.7004282837639337e-10    2.7004282837639337e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7004282837639337e-10    2.7004282837639337e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.538
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.11e-02 2.48e-03  -1.0 3.26e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6416827370656866e-11    6.6416827370656866e-11
+Constraint violation....:   2.7034798878722288e-10    2.7034798878722288e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7034798878722288e-10    2.7034798878722288e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.181
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.45e-05 4.85e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.62e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6207252082489540e-11    6.6207252082489540e-11
+Constraint violation....:   2.6955424350938451e-10    2.6955424350938451e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6955424350938451e-10    2.6955424350938451e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.957
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.48e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.93e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.11e-02 2.50e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.57e-05 5.09e-06  -3.8 2.49e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.88e-10 7.26e-11  -5.7 3.62e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   7.2556116006782403e-11    7.2556116006782403e-11
+Constraint violation....:   2.8767757793979332e-10    2.8767757793979332e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.8767757793979332e-10    2.8767757793979332e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.534
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6340942593134189e-11    6.6340942593134189e-11
+Constraint violation....:   2.6998651751763969e-10    2.6998651751763969e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6998651751763969e-10    2.6998651751763969e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.097
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6368631112789247e-11    6.6368631112789247e-11
+Constraint violation....:   2.7009973944946974e-10    2.7009973944946974e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7009973944946974e-10    2.7009973944946974e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.057
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6250795494306362e-11    6.6250795494306362e-11
+Constraint violation....:   2.6968986766018332e-10    2.6968986766018332e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6968986766018332e-10    2.6968986766018332e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.119
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6333661207177523e-11    6.6333661207177523e-11
+Constraint violation....:   2.6999284405415658e-10    2.6999284405415658e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6999284405415658e-10    2.6999284405415658e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.066
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.10e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.63e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6327238462344319e-11    6.6327238462344319e-11
+Constraint violation....:   2.6998061945782137e-10    2.6998061945782137e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.6998061945782137e-10    2.6998061945782137e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.035
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.47e-01  -1.0 2.43e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.91e-01  -1.0 2.44e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.09e-02 2.47e-03  -1.0 3.25e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.46e-05 4.86e-06  -3.8 2.46e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.70e-10 6.64e-11  -5.7 3.51e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.6362841785079171e-11    6.6362841785079171e-11
+Constraint violation....:   2.7006212890978709e-10    2.7006212890978709e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.7006212890978709e-10    2.7006212890978709e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.086
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.75e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.61e+01 1.44e-01  -1.0 2.28e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.05e+00 1.85e-01  -1.0 2.45e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.12e-02 2.45e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.57e-05 4.84e-06  -3.8 2.51e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.92e-10 6.86e-11  -5.7 3.70e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   6.8603573163296893e-11    6.8603573163296893e-11
+Constraint violation....:   2.9195870200615648e-10    2.9195870200615648e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.9195870200615648e-10    2.9195870200615648e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.061
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-8831.log b/solver_log/pf_ForkPoolWorker-8831.log
new file mode 100644
index 0000000000000000000000000000000000000000..31d5778247e3901b317f0b2c315e2c850b6315c1
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-8831.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.003
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.79e+00 1.35e-01  -1.0 2.51e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.34e-02 2.18e-03  -1.0 3.12e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.35e-05 3.28e-06  -3.8 2.65e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.29e-10 3.73e-11  -5.7 3.02e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.7301948208159810e-11    3.7301948208159810e-11
+Constraint violation....:   2.2894601145462268e-10    2.2894601145462268e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2894601145462268e-10    2.2894601145462268e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.267
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6585360800264999e-11    3.6585360800264999e-11
+Constraint violation....:   2.2039038302668068e-10    2.2039038302668068e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2039038302668068e-10    2.2039038302668068e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.865
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.31e-02 2.17e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.30e-05 3.23e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.21e-10 3.67e-11  -5.7 2.97e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6663956087700030e-11    3.6663956087700030e-11
+Constraint violation....:   2.2128475440919004e-10    2.2128475440919004e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2128475440919004e-10    2.2128475440919004e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.824
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.35e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.21e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6599040515642845e-11    3.6599040515642845e-11
+Constraint violation....:   2.2054096049384242e-10    2.2054096049384242e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2054096049384242e-10    2.2054096049384242e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.565
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6577202836169111e-11    3.6577202836169111e-11
+Constraint violation....:   2.2027731028106956e-10    2.2027731028106956e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027731028106956e-10    2.2027731028106956e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.975
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.09e-01  -1.0 1.16e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.68e+00 1.23e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.29e-02 2.08e-03  -1.0 3.04e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.10e-05 2.77e-06  -3.8 2.72e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 1.94e-10 3.43e-11  -5.7 2.78e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.4272815581681586e-11    3.4272815581681586e-11
+Constraint violation....:   1.9385153898765495e-10    1.9385153898765495e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   1.9385153898765495e-10    1.9385153898765495e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.872
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.35e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.30e-05 3.24e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.22e-10 3.67e-11  -5.7 2.97e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6687493073698683e-11    3.6687493073698683e-11
+Constraint violation....:   2.2155964216064028e-10    2.2155964216064028e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2155964216064028e-10    2.2155964216064028e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.320
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6579289262022204e-11    3.6579289262022204e-11
+Constraint violation....:   2.2031449928294755e-10    2.2031449928294755e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2031449928294755e-10    2.2031449928294755e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 10.061
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6577139066758982e-11    3.6577139066758982e-11
+Constraint violation....:   2.2027999216356342e-10    2.2027999216356342e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027999216356342e-10    2.2027999216356342e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.615
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6591809874872354e-11    3.6591809874872354e-11
+Constraint violation....:   2.2044656725062062e-10    2.2044656725062062e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2044656725062062e-10    2.2044656725062062e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 7.679
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6576235553273190e-11    3.6576235553273190e-11
+Constraint violation....:   2.2026937565589044e-10    2.2026937565589044e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2026937565589044e-10    2.2026937565589044e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 8.145
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6576084886055483e-11    3.6576084886055483e-11
+Constraint violation....:   2.2027353552278583e-10    2.2027353552278583e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027353552278583e-10    2.2027353552278583e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.934
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.35e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.30e-05 3.24e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.21e-10 3.67e-11  -5.7 2.97e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6675292917919831e-11    3.6675292917919831e-11
+Constraint violation....:   2.2147736075672775e-10    2.2147736075672775e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2147736075672775e-10    2.2147736075672775e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.176
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6581418558198398e-11    3.6581418558198398e-11
+Constraint violation....:   2.2033270347110445e-10    2.2033270347110445e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2033270347110445e-10    2.2033270347110445e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.105
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6574553085498145e-11    3.6574553085498145e-11
+Constraint violation....:   2.2025251414370395e-10    2.2025251414370395e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2025251414370395e-10    2.2025251414370395e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.115
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.76e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.22e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.65e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6540886758750570e-11    3.6540886758750570e-11
+Constraint violation....:   2.1985858966733218e-10    2.1985858966733218e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1985858966733218e-10    2.1985858966733218e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.059
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.31e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.26e-05 3.19e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.16e-10 3.62e-11  -5.7 2.93e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6230328684778616e-11    3.6230328684778616e-11
+Constraint violation....:   2.1637258304507689e-10    2.1637258304507689e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1637258304507689e-10    2.1637258304507689e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.103
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6575891885900566e-11    3.6575891885900566e-11
+Constraint violation....:   2.2027109650157861e-10    2.2027109650157861e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027109650157861e-10    2.2027109650157861e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.057
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6562282790813811e-11    3.6562282790813811e-11
+Constraint violation....:   2.2011667835664106e-10    2.2011667835664106e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2011667835664106e-10    2.2011667835664106e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.115
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.16e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.76e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6573872296910647e-11    3.6573872296910647e-11
+Constraint violation....:   2.2027045118444555e-10    2.2027045118444555e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027045118444555e-10    2.2027045118444555e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.134
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.38e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.77e+00 1.34e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.16e-03  -1.0 3.09e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.29e-05 3.23e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.20e-10 3.66e-11  -5.7 2.96e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6576646073585393e-11    3.6576646073585393e-11
+Constraint violation....:   2.2027677945568591e-10    2.2027677945568591e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.2027677945568591e-10    2.2027677945568591e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.054
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.83e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.69e+01 1.15e-01  -1.0 1.36e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.76e+00 1.33e-01  -1.0 2.50e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.30e-02 2.15e-03  -1.0 3.08e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 3.27e-05 3.18e-06  -3.8 2.63e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 2.18e-10 3.63e-11  -5.7 2.94e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   3.6348581830816502e-11    3.6348581830816502e-11
+Constraint violation....:   2.1759606963489553e-10    2.1759606963489553e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   2.1759606963489553e-10    2.1759606963489553e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.031
+
+EXIT: Optimal Solution Found.
diff --git a/solver_log/pf_ForkPoolWorker-9800.log b/solver_log/pf_ForkPoolWorker-9800.log
new file mode 100644
index 0000000000000000000000000000000000000000..bc1652283843f824a34698f6da790c3b94757cfb
--- /dev/null
+++ b/solver_log/pf_ForkPoolWorker-9800.log
@@ -0,0 +1,1034 @@
+ ======= warm starting Julia interface pf function =======
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:       87
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:      198
+
+Total number of variables............................:       20
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:       19
+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  0.0000000e+00 4.00e+00 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 9.00e-02 7.41e-04  -1.0 3.35e+00  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 6.18e-05 2.98e-05  -2.5 8.63e-02  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.57e-11 5.94e-10  -5.7 5.35e-05  -5.0 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 3
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   5.9419034945378731e-10    5.9419034945378731e-10
+Constraint violation....:   2.8174991384022584e-11    3.5749847526744816e-11
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   5.9419034945378731e-10    5.9419034945378731e-10
+
+
+Number of objective function evaluations             = 4
+Number of objective gradient evaluations             = 4
+Number of equality constraint evaluations            = 4
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 4
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 3
+Total seconds in IPOPT                               = 0.017
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.31e-01  -1.0 2.48e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.03e+00 1.73e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.13e-02 2.21e-03  -1.0 3.24e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.53e-05 6.26e-06  -3.8 2.68e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.29e-10 1.14e-10  -5.7 4.26e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.1415869905212649e-10    1.1415869905212649e-10
+Constraint violation....:   4.2922696646963132e-10    4.2922696646963132e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.2922696646963132e-10    4.2922696646963132e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.592
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3688485255956667e-10    1.3688485255956667e-10
+Constraint violation....:   4.8710399255802450e-10    4.8710399255802450e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8710399255802450e-10    4.8710399255802450e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.520
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.15e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3680779738537148e-10    1.3680779738537148e-10
+Constraint violation....:   4.8687615744613666e-10    4.8687615744613666e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8687615744613666e-10    4.8687615744613666e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.605
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.16e-02 2.26e-03  -1.0 3.28e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.82e-05 6.90e-06  -3.8 2.75e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.91e-10 1.38e-10  -5.7 4.60e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3802559101317816e-10    1.3802559101317816e-10
+Constraint violation....:   4.9107152719218838e-10    4.9107152719218838e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.9107152719218838e-10    4.9107152719218838e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 5.909
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3680735579682375e-10    1.3680735579682375e-10
+Constraint violation....:   4.8686488521298976e-10    4.8686488521298976e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8686488521298976e-10    4.8686488521298976e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.551
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3679747723762024e-10    1.3679747723762024e-10
+Constraint violation....:   4.8683704984009424e-10    4.8683704984009424e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8683704984009424e-10    4.8683704984009424e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.511
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.87e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.86e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3668070545373527e-10    1.3668070545373527e-10
+Constraint violation....:   4.8645282940684709e-10    4.8645282940684709e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8645282940684709e-10    4.8645282940684709e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.447
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.15e-02 2.26e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3673192370552706e-10    1.3673192370552706e-10
+Constraint violation....:   4.8667862795337413e-10    4.8667862795337413e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8667862795337413e-10    4.8667862795337413e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.562
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3679288733409850e-10    1.3679288733409850e-10
+Constraint violation....:   4.8682823744483628e-10    4.8682823744483628e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8682823744483628e-10    4.8682823744483628e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.235
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3681244863236705e-10    1.3681244863236705e-10
+Constraint violation....:   4.8690320872402104e-10    4.8690320872402104e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8690320872402104e-10    4.8690320872402104e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 6.829
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.35e-01  -1.0 2.58e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.80e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.26e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.78e-05 6.81e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.80e-10 1.34e-10  -5.7 4.53e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3407236561096811e-10    1.3407236561096811e-10
+Constraint violation....:   4.7985774034864370e-10    4.7985774034864370e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.7985774034864370e-10    4.7985774034864370e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.504
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.08e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.15e-02 2.26e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3670503719562665e-10    1.3670503719562665e-10
+Constraint violation....:   4.8658231957543485e-10    4.8658231957543485e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8658231957543485e-10    4.8658231957543485e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.156
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3688893941680100e-10    1.3688893941680100e-10
+Constraint violation....:   4.8714201769661791e-10    4.8714201769661791e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8714201769661791e-10    4.8714201769661791e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 4.686
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3678825180342471e-10    1.3678825180342471e-10
+Constraint violation....:   4.8681601458322454e-10    4.8681601458322454e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8681601458322454e-10    4.8681601458322454e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.484
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3683315823699485e-10    1.3683315823699485e-10
+Constraint violation....:   4.8694112977920589e-10    4.8694112977920589e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8694112977920589e-10    4.8694112977920589e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 3.053
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.09e+00 1.82e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.17e-02 2.26e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.80e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.85e-10 1.37e-10  -5.7 4.55e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3658998858941229e-10    1.3658998858941229e-10
+Constraint violation....:   4.8526109866497968e-10    4.8526109866497968e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8526109866497968e-10    4.8526109866497968e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.772
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149279
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3680694033333050e-10    1.3680694033333050e-10
+Constraint violation....:   4.8688491779969034e-10    4.8688491779969034e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8688491779969034e-10    4.8688491779969034e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.655
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149275
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23309
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.22e-01  -1.0 2.21e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 2.88e+00 1.58e-01  -1.0 2.54e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.00e-02 2.07e-03  -1.0 3.11e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.31e-05 5.58e-06  -3.8 2.62e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 3.86e-10 9.39e-11  -5.7 4.03e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   9.3884593155294706e-11    9.3884593155294706e-11
+Constraint violation....:   3.8595673879093795e-10    3.8595673879093795e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   3.8595673879093795e-10    3.8595673879093795e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.592
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.15e-02 2.26e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.84e-05 6.93e-06  -3.8 2.75e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.93e-10 1.39e-10  -5.7 4.59e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3905340582825082e-10    1.3905340582825082e-10
+Constraint violation....:   4.9349018968469771e-10    4.9349018968469771e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.9349018968469771e-10    4.9349018968469771e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.667
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149276
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416776
+
+Total number of variables............................:    24030
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23310
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.80e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.80e-05 6.87e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.86e-10 1.36e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3638656267306559e-10    1.3638656267306559e-10
+Constraint violation....:   4.8579059178099904e-10    4.8579059178099904e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8579059178099904e-10    4.8579059178099904e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.534
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.57e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.81e-05 6.88e-06  -3.8 2.74e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.87e-10 1.37e-10  -5.7 4.56e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3681873975142041e-10    1.3681873975142041e-10
+Constraint violation....:   4.8692074677836317e-10    4.8692074677836317e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.8692074677836317e-10    4.8692074677836317e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.586
+
+EXIT: Optimal Solution Found.
+This is Ipopt version 3.14.19, running with linear solver MUMPS 5.8.2.
+
+Number of nonzeros in equality constraint Jacobian...:   149271
+Number of nonzeros in inequality constraint Jacobian.:        0
+Number of nonzeros in Lagrangian Hessian.............:   416748
+
+Total number of variables............................:    24032
+                     variables with only lower bounds:        0
+                variables with lower and upper bounds:        0
+                     variables with only upper bounds:        0
+Total number of equality constraints.................:    23311
+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  0.0000000e+00 1.95e+01 0.00e+00  -1.0 0.00e+00    -  0.00e+00 0.00e+00   0
+   1  0.0000000e+00 1.58e+01 1.36e-01  -1.0 2.59e+01  -4.0 1.00e+00 1.00e+00h  1
+   2  0.0000000e+00 3.07e+00 1.81e-01  -1.0 2.57e+01  -4.5 1.00e+00 1.00e+00h  1
+   3  0.0000000e+00 3.14e-02 2.25e-03  -1.0 3.27e+00  -5.0 1.00e+00 1.00e+00h  1
+   4  0.0000000e+00 4.77e-05 6.83e-06  -3.8 2.73e-02  -5.4 1.00e+00 1.00e+00h  1
+   5  0.0000000e+00 4.80e-10 1.35e-10  -5.7 4.53e-05  -5.9 1.00e+00 1.00e+00h  1
+
+Number of Iterations....: 5
+
+                                   (scaled)                 (unscaled)
+Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
+Dual infeasibility......:   1.3473603355637088e-10    1.3473603355637088e-10
+Constraint violation....:   4.7980715928153117e-10    4.7980715928153117e-10
+Variable bound violation:   0.0000000000000000e+00    0.0000000000000000e+00
+Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
+Overall NLP error.......:   4.7980715928153117e-10    4.7980715928153117e-10
+
+
+Number of objective function evaluations             = 6
+Number of objective gradient evaluations             = 6
+Number of equality constraint evaluations            = 6
+Number of inequality constraint evaluations          = 0
+Number of equality constraint Jacobian evaluations   = 6
+Number of inequality constraint Jacobian evaluations = 0
+Number of Lagrangian Hessian evaluations             = 5
+Total seconds in IPOPT                               = 2.444
+
+EXIT: Optimal Solution Found.