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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        3

Total number of variables............................:        2
                     variables with only lower bounds:        2
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        1
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  8.1000000e+01 8.00e+01 1.70e+01 1.00e+01  -1.0     -   0.00e+00  0  0 
   1  8.0999992e+01 8.00e+01 4.43e-04 9.30e-05  -1.0     -   1.00e-07  1  2h
   2  2.0753084e+01 1.20e+02 2.47e-04 2.41e-05  -1.0     -   1.00e+00  2  1h
   3  8.9197533e-01 6.64e+01 9.23e-05 2.00e-06  -1.0   -4.0  7.27e-01  2  1h
   4  2.1240452e-01 1.63e+01 2.31e-05 2.00e-06  -1.0   -4.5  1.00e+00  2  1h
   5  1.7912376e-02 4.00e+00 5.79e-06 4.13e-06  -1.0     -   1.00e+00 10  1h
   6  2.4074777e-03 8.00e-01 1.43e-06 2.14e-06  -1.0     -   1.00e+00  6  1h
   7  1.1784642e-04 8.96e-02 1.10e-06 2.30e-06  -1.7     -   1.00e+00  3  1h
   8  2.1732414e-06 1.92e-03 2.46e-07 2.13e-06  -2.5     -   1.00e+00  2  1h
   9  5.9566239e-09 2.87e-06 6.86e-10 2.05e-06  -3.8     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.9866332e-17 5.96e-09 1.98e-09 1.44e-08  -8.6     -   1.00e+00  1  1h
  11  2.0660759e-19 3.70e-18 9.11e-15 9.09e-10  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:   2.0660758563354017e-19    2.0660758563354017e-19
Dual infeasibility......:   9.1063665933122166e-15    9.1063665933122166e-15
Constraint violation....:   3.6975112638455852e-18    3.6975112638455852e-18
Complementarity.........:   9.0909100748886998e-10    9.0909100748886998e-10
Overall NLP error.......:   9.0909100748886998e-10    9.0909100748886998e-10

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 12
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 12
Number of Lagrangian Hessian evaluations              = 11
Number of KKT factorizations                          = 13
Number of KKT backsolves                              = 52

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.027 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.060 s

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