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

Number of nonzeros in constraint Jacobian............:   500500
Number of nonzeros in Lagrangian Hessian.............:   750000

Total number of variables............................:      500
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:      500
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:      500
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 3.46e-01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 3.46e-01 4.87e-10 1.00e-06  -1.7     -   5.00e-07  1  2h
   2  0.0000000e+00 1.23e-01 5.44e-17 1.00e-06  -1.7     -   1.00e+00  2  1h
   3  0.0000000e+00 3.95e-02 1.24e-13 1.00e-06  -2.5     -   1.00e+00  2  1h
   4  0.0000000e+00 1.12e-02 9.72e-18 1.00e-06  -2.5     -   1.00e+00  2  1h
   5  0.0000000e+00 2.90e-03 5.80e-13 1.00e-06  -3.8     -   1.00e+00  2  1h
   6  0.0000000e+00 7.30e-04 3.09e-17 1.00e-06  -3.8     -   1.00e+00  2  1h
   7  0.0000000e+00 1.83e-04 1.48e-12 1.00e-06  -5.7     -   1.00e+00  2  1h
   8  0.0000000e+00 4.56e-05 6.27e-16 1.00e-06  -5.7     -   1.00e+00  2  1h
   9  0.0000000e+00 1.14e-05 3.13e-16 1.00e-06  -5.7     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 2.85e-06 2.86e-14 2.51e-09  -8.6     -   1.00e+00  2  1h
  11  0.0000000e+00 7.13e-07 1.47e-17 2.51e-09  -8.6     -   1.00e+00  2  1h
  12  0.0000000e+00 1.78e-07 7.34e-18 2.51e-09  -8.6     -   1.00e+00  2  1h
  13  0.0000000e+00 4.46e-08 2.41e-17 2.51e-09  -8.6     -   1.00e+00  2  1h
  14  0.0000000e+00 1.11e-08 1.20e-17 2.51e-09  -8.6     -   1.00e+00  2  1h
  15  0.0000000e+00 2.79e-09 3.35e-17 9.09e-10  -9.0     -   1.00e+00  2  1h

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   3.3512170919702588e-17    3.3512170919702588e-17
Constraint violation....:   2.7856037476681195e-09    2.7856037476681195e-09
Complementarity.........:   9.0909090909090931e-10    9.0909090909090931e-10
Overall NLP error.......:   2.7856037476681195e-09    2.7856037476681195e-09

Number of objective function evaluations              = 17
Number of objective gradient evaluations              = 16
Number of constraint evaluations                      = 17
Number of constraint Jacobian evaluations             = 16
Number of Lagrangian Hessian evaluations              = 15
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 29

Total wall secs in initialization                     =  0.399 s
Total wall secs in linear solver                      =  0.079 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.440 s
Total wall secs                                       =  0.921 s

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