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.............: 50005000

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...............:        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  2.5005000e+15 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  4.9392593e+14 0.00e+00 2.96e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  9.7565616e+13 0.00e+00 8.78e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.9272220e+13 0.00e+00 2.60e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  3.8068584e+12 0.00e+00 7.71e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  7.5197202e+11 0.00e+00 2.28e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  1.4853768e+11 0.00e+00 6.77e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  2.9340777e+10 0.00e+00 2.00e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  5.7957090e+09 0.00e+00 5.94e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  1.1448314e+09 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  2.2613954e+08 0.00e+00 5.22e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  4.4669538e+07 0.00e+00 1.55e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  8.8236125e+06 0.00e+00 4.58e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  1.7429358e+06 0.00e+00 1.36e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  3.4428362e+05 0.00e+00 4.02e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  6.8006640e+04 0.00e+00 1.19e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  1.3433410e+04 0.00e+00 3.53e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  2.6535132e+03 0.00e+00 1.05e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  5.2415075e+02 0.00e+00 3.10e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  19  1.0353595e+02 0.00e+00 9.18e-09 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   5.1762798987950470e-09    1.0353595053569853e+02
Dual infeasibility......:   9.1790605314104766e-09    1.8359956874927235e+02
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.5890713585693809e-19    9.1790605314104766e-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                     =  6.398 s
Total wall secs in linear solver                      = 23.897 s
Total wall secs in NLP function evaluations           =  0.129 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.187 s
Total wall secs                                       = 30.612 s

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