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

Number of nonzeros in constraint Jacobian............:    40000
Number of nonzeros in Lagrangian Hessian.............:    10000

Total number of variables............................:    10000
                     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...............:    10000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:    10000
        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 7.67e-02 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 7.67e-02 3.09e-11 1.01e-06  -2.5     -   3.56e-06  2  2h
   2  0.0000000e+00 2.27e-02 3.06e-14 1.00e-06  -2.5     -   1.00e+00  3  1h
   3  0.0000000e+00 6.74e-03 8.77e-09 1.00e-06  -3.8     -   1.00e+00  2  1h
   4  0.0000000e+00 2.00e-03 1.16e-10 1.00e-06  -3.8     -   1.00e+00  3  1h
   5  0.0000000e+00 5.92e-04 2.12e-11 1.00e-06  -3.8     -   1.00e+00  3  1h
   6  0.0000000e+00 1.76e-04 3.54e-08 1.00e-06  -5.7     -   1.00e+00  2  1h
   7  0.0000000e+00 5.23e-05 2.67e-10 1.00e-06  -5.7     -   1.00e+00  2  1h
   8  0.0000000e+00 1.57e-05 2.53e-11 1.00e-06  -5.7     -   1.00e+00  3  1h
   9  0.0000000e+00 4.79e-06 6.52e-12 2.51e-09  -8.6     -   1.00e+00  3  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 1.58e-06 2.06e-11 2.51e-09  -8.6     -   1.00e+00  2  1h
  11  0.0000000e+00 6.03e-07 4.90e-11 2.51e-09  -8.6     -   1.00e+00  2  1h
  12  0.0000000e+00 1.94e-07 2.83e-13 2.51e-09  -8.6     -   1.00e+00  3  1h
  13  0.0000000e+00 1.46e-08 7.53e-14 2.51e-09  -8.6     -   1.00e+00  3  1h
  14  0.0000000e+00 2.01e-10 2.59e-14 9.09e-10  -9.0     -   1.00e+00  3  1h

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   2.5900605587182626e-14    2.5900605587182626e-14
Constraint violation....:   2.0138374607424627e-10    2.0138374607424627e-10
Complementarity.........:   9.0909109807509576e-10    9.0909109807509576e-10
Overall NLP error.......:   9.0909109807509576e-10    9.0909109807509576e-10

Number of objective function evaluations              = 16
Number of objective gradient evaluations              = 15
Number of constraint evaluations                      = 16
Number of constraint Jacobian evaluations             = 15
Number of Lagrangian Hessian evaluations              = 14
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 36

Total wall secs in initialization                     =  0.045 s
Total wall secs in linear solver                      =  0.028 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.033 s
Total wall secs                                       =  0.109 s

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