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

Number of nonzeros in constraint Jacobian............:    27500
Number of nonzeros in Lagrangian Hessian.............:    50000

Total number of variables............................:     5005
                     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...............:     2500
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     2500
        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 7.58e+00 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  3.4059063e-13 7.58e+00 5.96e-05 1.00e-06  -1.0     -   1.00e-07  2  2h
   2  3.0751891e+01 1.43e+00 1.41e-03 1.00e-06  -1.0   -4.0  1.00e+00  3  1h
   3  1.7055074e+02 2.11e+00 5.05e-03 1.00e-06  -1.0   -4.5  1.00e+00  2  1h
   4  1.0283013e+02 3.97e-01 9.86e-04 1.00e-06  -1.0    0.5  1.00e+00  2  1h
   5  9.6590841e+01 2.71e-02 2.65e-04 1.00e-06  -1.7   -0.0  1.00e+00  1  1h
   6  9.5879056e+01 5.92e-02 2.03e-02 1.00e-06  -3.8   -0.5  1.00e+00  1  1h
   7  9.4884532e+01 3.87e-03 2.10e-03 1.00e-06  -3.8   -0.1  1.00e+00  3  1h
   8  9.4879442e+01 1.42e-02 5.11e-04 1.00e-06  -3.8   -0.5  1.00e+00  3  1h
   9  9.4831692e+01 5.52e-03 3.04e-04 1.00e-06  -3.8   -1.0  1.00e+00  3  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  9.4815056e+01 1.35e-04 9.99e-06 1.00e-06  -3.8     -   1.00e+00  8  1h
  11  9.4814651e+01 1.99e-06 2.45e-06 1.00e-06  -5.7     -   1.00e+00  4  1h
  12  9.4814650e+01 2.09e-10 5.20e-09 9.03e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   9.4814649610730541e+01    9.4814649610730541e+01
Dual infeasibility......:   5.2049853316304961e-09    5.2049853316304961e-09
Constraint violation....:   2.0872661471465705e-10    2.0872661471465705e-10
Complementarity.........:   9.0286803739786499e-09    9.0286803739786499e-09
Overall NLP error.......:   9.0286803739786499e-09    9.0286803739786499e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 27
Number of KKT backsolves                              = 34

Total wall secs in initialization                     =  0.028 s
Total wall secs in linear solver                      =  0.018 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.067 s
Total wall secs                                       =  0.117 s

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