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

Number of nonzeros in constraint Jacobian............:    79996
Number of nonzeros in Lagrangian Hessian.............:    90012

Total number of variables............................:    20002
                     variables with only lower bounds:    10000
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:    15002
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  4.9999900e-01 9.92e+01 6.99e-01 1.00e-02  -1.0     -   0.00e+00  1  0 
   1  3.6918164e-01 9.90e+01 7.17e-01 1.02e-02  -1.0     -   2.02e-03  1  1h
   2  4.4472408e-01 9.79e+01 1.95e+00 1.70e-02  -1.0     -   1.10e-02  1  1h
   3  8.3401237e+00 9.09e+01 3.59e+00 2.74e-02  -1.0     -   7.24e-02  1  1h
   4  8.7452519e+02 3.20e-13 7.05e+00 1.28e-01  -1.0     -   1.00e+00  1  1h
   5  3.6122142e+02 1.42e-13 1.49e+00 1.19e-01  -1.0     -   4.37e-01  1  1f
   6  5.3411463e+02 7.11e-14 1.00e-06 1.35e-01  -1.0     -   1.00e+00  1  1f
   7  4.8678513e+01 4.97e-14 2.83e-08 3.51e-02  -2.5     -   1.00e+00  1  1f
   8  2.1308675e+01 2.84e-14 2.83e-08 1.02e-02  -2.5     -   1.00e+00  1  1f
   9  3.1569092e+00 2.84e-14 1.50e-09 2.63e-03  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.3181380e+00 4.97e-14 1.50e-09 7.36e-04  -3.8     -   1.00e+00  1  1f
  11  1.8604648e-01 2.84e-14 1.85e-11 1.85e-04  -5.7     -   1.00e+00  1  1f
  12  5.2820787e-02 7.11e-14 1.85e-11 4.72e-05  -5.7     -   1.00e+00  1  1f
  13  1.9529608e-02 5.68e-14 1.85e-11 1.27e-05  -5.7     -   1.00e+00  1  1f
  14  2.8681364e-03 4.26e-14 1.70e-12 3.18e-06  -8.6     -   1.00e+00  1  1f
  15  5.6037996e-04 2.84e-14 2.56e-14 7.97e-07  -8.6     -   1.00e+00  2  1f
  16 -1.6555231e-05 2.13e-14 2.56e-14 2.01e-07  -8.6     -   1.00e+00  2  1f
  17 -1.6078230e-04 3.55e-14 2.56e-14 5.14e-08  -8.6     -   1.00e+00  2  1f
  18 -1.9681659e-04 2.84e-14 2.56e-14 1.41e-08  -8.6     -   1.00e+00  2  1f
  19 -2.1305229e-04 6.39e-14 9.63e-15 4.00e-09  -9.0     -   1.00e+00  2  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:  -2.1305229459850451e-04   -2.1305229459850451e-04
Dual infeasibility......:   9.6254006798443172e-15    9.6254006798443172e-15
Constraint violation....:   6.3948846218409017e-14    6.3948846218409017e-14
Complementarity.........:   4.0024199922286844e-09    4.0024199922286844e-09
Overall NLP error.......:   4.0024199922286844e-09    4.0024199922286844e-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                          = 20
Number of KKT backsolves                              = 25

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.108 s
Total wall secs in NLP function evaluations           =  0.018 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.044 s
Total wall secs                                       =  0.185 s

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