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

Number of nonzeros in constraint Jacobian............:       39
Number of nonzeros in Lagrangian Hessian.............:       73

Total number of variables............................:        9
                     variables with only lower bounds:        1
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:       13
        inequality constraints with only lower bounds:        3
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:       10

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 1.01e+00 1.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1 -1.2261369e-01 2.07e-01 6.67e-01 4.42e-01  -1.0    0.0  1.00e+00  1  1h
   2 -4.3913295e-01 3.98e-01 4.13e-01 2.07e-01  -1.7     -   1.00e+00  1  1h
   3 -5.6231615e-01 5.70e-01 4.24e-01 1.14e-01  -1.7   -0.5  1.00e+00  1  1h
   4 -5.5933278e-01 7.66e-02 2.26e-01 3.43e-02  -1.7   -0.1  1.00e+00  1  1h
   5 -9.7489675e-01 6.61e-01 2.11e-01 2.96e-02  -1.7     -   6.24e-02  1  1h
   6 -1.0654863e+00 5.13e-01 1.41e-01 2.74e-02  -1.7     -   3.18e-01  1  1h
   7 -1.1183989e+00 5.85e-01 1.07e-01 1.52e-01  -1.7     -   5.01e-01  1  1h
   8 -9.2444889e-01 7.57e-02 1.85e-01 7.65e-02  -1.7     -   1.00e+00  1  1h
   9 -9.9174917e-01 1.17e-02 7.80e-03 6.40e-03  -2.5     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -1.0011038e+00 3.20e-03 2.27e-03 1.24e-03  -3.8     -   9.83e-01  1  1h
  11 -9.9937802e-01 3.68e-05 1.68e-03 1.91e-04  -3.8   -0.5  1.00e+00  1  1h
  12 -9.9939377e-01 1.12e-05 4.47e-04 1.52e-04  -3.8   -1.0  1.00e+00  1  1h
  13 -1.0000009e+00 1.73e-05 9.85e-06 5.12e-06  -5.7     -   1.00e+00  1  1h
  14 -1.0000001e+00 2.21e-07 1.65e-08 4.91e-09  -8.6     -   1.00e+00  1  1h
  15 -1.0000000e+00 4.33e-15 1.04e-08 2.51e-09  -8.6   -1.5  1.00e+00  2  1h
  16 -1.0000178e+00 2.29e-04 3.01e-10 1.05e-09  -9.0     -   1.00e+00  5  1h
  17 -1.0000000e+00 7.71e-09 1.90e-06 9.09e-10  -9.0   -2.0  1.00e+00  2  1h
  18 -1.0000000e+00 1.14e-06 5.32e-09 9.09e-10  -9.0     -   1.00e+00  2  1h
  19 -1.0000000e+00 1.65e-13 3.94e-09 9.09e-10  -9.0   -2.4  1.00e+00  2  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:  -1.0000000063636398e+00   -1.0000000063636398e+00
Dual infeasibility......:   3.9371067849418958e-09    3.9371067849418958e-09
Constraint violation....:   1.6511791933737641e-13    1.6511791933737641e-13
Complementarity.........:   9.0909090929686963e-10    9.0909090929686963e-10
Overall NLP error.......:   3.9371067849418958e-09    3.9371067849418958e-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                          = 30
Number of KKT backsolves                              = 27

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.014 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.029 s
Total wall secs                                       =  0.061 s

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