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

Number of nonzeros in constraint Jacobian............:   512008
Number of nonzeros in Lagrangian Hessian.............:   614400

Total number of variables............................:   128006
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    25601
                     variables with only upper bounds:        0
Total number of equality constraints.................:   102407
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        1
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0000000e+00 2.15e-03 0.00e+00 1.57e+00  -1.0     -   0.00e+00  1  0 
   1  4.5000000e-01 6.52e-04 1.95e+03 4.39e-01  -1.0     -   1.00e+00  4  1h
   2  5.9386075e-01 3.40e-04 2.79e+03 1.74e-01  -1.0     -   1.00e+00  3  1H
   3  5.5376435e-01 1.20e-03 9.87e+01 1.41e-01  -1.0    0.0  1.00e+00  2  1h
   4  5.5502917e-01 9.04e-07 1.49e+00 1.02e-01  -1.0    1.3  1.00e+00  2  1h
   5  5.5474401e-01 1.93e-04 4.27e+01 1.00e-01  -1.0     -   1.00e+00  2  1f
   6  5.5481639e-01 1.85e-06 4.10e-01 1.04e-01  -1.0    0.9  1.00e+00  2  1h
   7  5.5481596e-01 1.02e-08 1.93e-02 2.02e-02  -1.7    0.4  1.00e+00  2  1h
   8  5.5480184e-01 8.62e-08 1.16e-01 3.25e-04  -3.8     -   1.00e+00  4  1f
   9  5.5354264e-01 7.85e-04 6.37e-03 2.79e-04  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.5593867e-01 5.81e-05 7.71e-04 1.63e-04  -3.8     -   1.00e+00  1  1h
  11  5.5574012e-01 4.71e-07 7.02e-05 4.52e-06  -5.7     -   1.00e+00  1  1h
  12  5.5374696e-01 1.35e-05 1.50e-03 2.18e-06  -5.7     -   1.00e+00  1  1h
  13  5.5458822e-01 2.51e-07 1.38e-06 1.85e-06  -5.7     -   1.00e+00  1  1h
  14  5.5455511e-01 1.87e-06 3.05e-05 1.94e-07  -8.6     -   1.00e+00  1  1h
  15  5.5457049e-01 2.42e-07 6.98e-07 9.22e-09  -8.6     -   1.00e+00  1  1h
  16  5.5457088e-01 4.34e-10 5.05e-11 2.52e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 16

                                   (scaled)                 (unscaled)
Objective...............:   5.5457087873354238e-01    5.5457087873354238e-01
Dual infeasibility......:   5.0462078959867540e-11    5.0462078959867540e-11
Constraint violation....:   4.3411571946246155e-10    4.3411571946246155e-10
Complementarity.........:   2.5166446722845964e-09    2.5166446722845964e-09
Overall NLP error.......:   2.5166446722845964e-09    2.5166446722845964e-09

Number of objective function evaluations              = 18
Number of objective gradient evaluations              = 17
Number of constraint evaluations                      = 18
Number of constraint Jacobian evaluations             = 17
Number of Lagrangian Hessian evaluations              = 16
Number of KKT factorizations                          = 25
Number of KKT backsolves                              = 33

Total wall secs in initialization                     =  0.060 s
Total wall secs in linear solver                      =  1.884 s
Total wall secs in NLP function evaluations           =  0.011 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  1.875 s
Total wall secs                                       =  3.830 s

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