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

Number of nonzeros in constraint Jacobian............:       60
Number of nonzeros in Lagrangian Hessian.............:       63

Total number of variables............................:       13
                     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...............:        9
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        9

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 1.00e-02 1.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 1.00e-02 1.00e+00 7.94e-04  -1.7     -   5.60e-32  1  1H
   2 -1.3255095e+01 3.49e+03 8.20e+00 2.37e-04  -1.7   -4.0  4.13e-03  1  1h
   3 -6.4820460e+00 8.73e+02 7.40e+00 1.57e+00  -1.7    0.0  1.00e+00  1  1h
   4 -3.1283961e+00 2.19e+02 1.22e+00 2.79e-01  -1.7     -   1.00e+00  1  1h
   5 -2.4317439e+00 1.36e+02 3.80e+00 1.21e-01  -1.7    0.5  4.23e-01  1  1h
   6 -1.1277993e+00 3.42e+01 1.03e+01 4.77e-02  -1.7    0.9  1.00e+00  1  1h
   7 -9.0026131e-01 1.99e+01 1.00e+01 2.85e-02  -1.7    1.3  4.77e-01  1  1h
   8 -6.7854944e-01 1.01e+01 1.65e+01 2.08e-02  -1.7    1.7  5.80e-01  1  1h
   9 -4.6448023e-01 2.71e+00 8.64e+00 3.21e-02  -1.7    1.3  1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -4.4149172e-01 9.29e-01 5.66e+00 2.34e-02  -1.7    1.7  1.00e+00  1  1h
  11 -3.5407771e-01 6.53e-01 1.17e+01 2.23e-01  -1.7    1.2  1.00e+00  1  1h
  12 -3.5252541e-01 7.77e-02 1.96e+00 2.22e-02  -1.7    0.7  1.00e+00  1  1h
  13 -3.6250266e-01 1.15e-03 2.24e-01 2.05e-02  -1.7    0.3  1.00e+00  1  1h
  14 -3.6859236e-01 1.24e-02 4.48e-02 2.00e-02  -1.7     -   1.00e+00  1  1h
  15 -4.5413140e-01 8.62e-03 1.89e-02 6.43e-03  -2.5     -   9.90e-01  1  1h
  16 -4.5132674e-01 1.84e-03 3.20e-03 7.44e-04  -3.8     -   1.00e+00  1  1h
  17 -4.4955096e-01 2.96e-04 2.09e-04 1.56e-04  -3.8     -   1.00e+00  1  1h
  18 -4.4999740e-01 1.91e-06 5.80e-06 2.76e-06  -5.7     -   1.00e+00  1  1h
  19 -4.5000000e-01 3.74e-09 4.10e-09 2.78e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:  -4.5000000312910465e-01   -4.5000000312910465e-01
Dual infeasibility......:   4.0985494997869409e-09    4.0985494997869409e-09
Constraint violation....:   3.7388981355412909e-09    3.7388981355412909e-09
Complementarity.........:   2.7772590535331544e-09    2.7772590535331544e-09
Overall NLP error.......:   4.0985494997869409e-09    4.0985494997869409e-09

Number of objective function evaluations              = 21
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 21
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 40
Number of KKT backsolves                              = 30

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.014 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.022 s
Total wall secs                                       =  0.052 s

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