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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:    29994

Total number of variables............................:     5000
                     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...............:        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  5.0060000e+03 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  9.8725926e+02 0.00e+00 2.96e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  1.9501417e+02 0.00e+00 8.78e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  3.8521318e+01 0.00e+00 2.60e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  7.6091493e+00 0.00e+00 7.71e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  1.5030418e+00 0.00e+00 2.28e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  2.9689715e-01 0.00e+00 6.77e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  5.8646351e-02 0.00e+00 2.00e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  1.1584464e-02 0.00e+00 5.94e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  2.2882893e-03 0.00e+00 1.76e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  4.5200776e-04 0.00e+00 5.21e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  8.9285483e-05 0.00e+00 1.54e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  1.7636639e-05 0.00e+00 4.58e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  3.4837805e-06 0.00e+00 1.36e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  6.8815417e-07 0.00e+00 4.02e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  1.3593169e-07 0.00e+00 1.19e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  2.6850704e-08 0.00e+00 3.53e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  5.3038427e-09 0.00e+00 1.05e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  1.0476726e-09 0.00e+00 3.10e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  19  2.0694768e-10 0.00e+00 9.18e-09 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   1.0349453926058007e-12    2.0694768070545589e-10
Dual infeasibility......:   9.1772243520555401e-09    1.8350777814370258e-06
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.5895300820441791e-11    9.1772243520555401e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.031 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.032 s
Total wall secs                                       =  0.075 s

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