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

Number of nonzeros in constraint Jacobian............:   183180
Number of nonzeros in Lagrangian Hessian.............:    84385

Total number of variables............................:    40005
                     variables with only lower bounds:        5
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:    40000
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  1.9752500e+02 2.36e+01 5.45e-02 1.00e-02  -1.0     -   0.00e+00 10  0 
   1  1.6929480e+02 3.79e-01 2.79e+04 7.48e-03  -1.0    2.0  9.87e-01 10  1h
   2  2.5250471e+02 3.10e-03 3.07e+05 6.43e-03  -1.0    1.5  1.00e+00  2  1h
   3  3.4254992e+02 1.08e-04 1.39e+06 5.66e-03  -1.0    1.0  1.00e+00  2  1h
   4  3.4073505e+02 8.29e-07 1.03e+06 4.17e-03  -1.0    0.6  1.00e+00  1  1f
   5  2.8019604e+01 1.32e-04 3.21e+06 4.50e-03  -1.0     -   1.00e+00  9  1f
   6  2.0031600e+01 1.34e-06 6.42e+04 3.99e-03  -1.0     -   1.00e+00  8  1h
   7  1.9877599e+01 1.04e-06 7.40e+02 3.91e-03  -1.0     -   1.00e+00  9  1f
   8  1.9872597e+01 1.98e-10 9.87e-02 3.91e-03  -1.0     -   1.00e+00  8  1h
   9  1.9872208e+01 6.12e-09 1.83e+00 3.31e-03  -2.5     -   1.00e+00  8  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.9872167e+01 1.42e-14 3.44e-06 2.83e-03  -2.5     -   1.00e+00  9  1h
  11  1.9872167e+01 4.65e-12 1.40e-03 1.51e-04  -3.8     -   1.00e+00  9  1h
  12  1.9872167e+01 1.43e-14 4.32e-06 1.85e-06  -5.7     -   1.00e+00  9  1h
  13  1.9872167e+01 1.42e-14 6.08e-10 2.51e-09  -8.6     -   1.00e+00  8  1h

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   1.9872166933844717e+01    1.9872166933844717e+01
Dual infeasibility......:   6.0771564863726368e-10    6.0771564863726368e-10
Constraint violation....:   1.4210854715202004e-14    1.4210854715202004e-14
Complementarity.........:   2.5060768467912224e-09    2.5060768467912224e-09
Overall NLP error.......:   2.5060768467912224e-09    2.5060768467912224e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 21
Number of KKT backsolves                              = 112

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  1.286 s
Total wall secs in NLP function evaluations           =  0.010 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.128 s
Total wall secs                                       =  1.435 s

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