This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:    22497
Number of nonzeros in Lagrangian Hessian.............:    59992

Total number of variables............................:    10000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    10000
                     variables with only upper bounds:        0
Total number of equality constraints.................:     7500
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  5.6255625e+07 3.00e+00 1.00e+02 9.50e+00  -1.0     -   0.00e+00  3  0 
   1  5.7925265e+07 2.41e+00 8.02e+01 7.41e+00  -1.0     -   1.98e-01  2  1h
   2  5.9138896e+07 2.25e+00 7.52e+01 3.75e+00  -1.0     -   6.34e-02  2  1h
   3  6.4015917e+07 1.87e+00 6.21e+01 1.02e+00  -1.0     -   1.71e-01  2  1h
   4  7.1876039e+07 1.46e+00 6.92e+01 1.05e+00  -1.0     -   2.18e-01  2  1h
   5  8.6449444e+07 8.88e-01 2.95e+01 7.00e-01  -1.0     -   3.92e-01  2  1h
   6  9.4888786e+07 6.09e-01 1.90e+01 5.20e-01  -1.0     -   3.14e-01  2  1h
   7  1.0742680e+08 2.35e-01 5.93e+00 2.61e-01  -1.0     -   6.14e-01  2  1h
   8  1.1593867e+08 1.78e-15 3.62e-07 1.17e-01  -1.0     -   1.00e+00  2  1h
   9  1.1576166e+08 1.78e-15 8.02e-01 3.05e-02  -2.5     -   8.69e-01  2  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.1571948e+08 1.78e-15 9.10e-09 8.67e-03  -2.5     -   1.00e+00  2  1f
  11  1.1571167e+08 1.78e-15 2.96e-10 2.23e-03  -3.8     -   1.00e+00  2  1f
  12  1.1571149e+08 1.78e-15 1.85e-10 6.33e-04  -3.8     -   1.00e+00  2  1f
  13  1.1571111e+08 1.78e-15 2.01e-10 1.57e-04  -5.7     -   1.00e+00  2  1f
  14  1.1571111e+08 1.78e-15 1.02e-10 3.90e-05  -5.7     -   1.00e+00  2  1f
  15  1.1571111e+08 1.78e-15 8.36e-11 9.70e-06  -5.7     -   1.00e+00  2  1f
  16  1.1571110e+08 1.78e-15 1.79e-10 1.60e-06  -8.6     -   1.00e+00  2  1f
  17  1.1571110e+08 1.78e-15 4.40e-11 9.90e-08  -8.6     -   1.00e+00  2  1f
  18  1.1571110e+08 1.78e-15 1.66e-10 2.96e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:   2.2040210316437166e+05    1.1571110416129512e+08
Dual infeasibility......:   1.6587514763490700e-10    8.7084452508326176e-08
Constraint violation....:   1.7763568394002505e-15    1.7763568394002505e-15
Complementarity.........:   5.6412810281431762e-12    2.9616725397751677e-09
Overall NLP error.......:   2.9616725397751677e-09    2.9616725397751677e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 19
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 19
Number of Lagrangian Hessian evaluations              = 18
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 39

Total wall secs in initialization                     =  0.011 s
Total wall secs in linear solver                      =  1.108 s
Total wall secs in NLP function evaluations           =  0.010 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.065 s
Total wall secs                                       =  1.195 s

EXIT: Optimal Solution Found (tol = 1.0e-08).