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

Number of nonzeros in constraint Jacobian............:        5
Number of nonzeros in Lagrangian Hessian.............:        2

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

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 4.58e+01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 4.58e+01 2.79e-14 1.00e-06  -1.0     -   1.00e-07  2  2h
   2  0.0000000e+00 4.52e+01 4.43e-17 1.00e-06  -1.0     -   6.25e-02  2  5h
   3  0.0000000e+00 4.22e+01 7.30e-17 1.00e-06  -1.0     -   2.50e-01  2  3h
   4  0.0000000e+00 3.21e+01 6.34e-17 1.00e-06  -1.0     -   1.00e+00  2  1h
   5  0.0000000e+00 8.02e+00 4.18e-18 1.00e-06  -1.0     -   1.00e+00  2  1h
   6  0.0000000e+00 1.99e+00 1.05e-18 1.00e-06  -1.0     -   1.00e+00  2  1h
   7  0.0000000e+00 4.86e-01 4.51e-19 1.00e-06  -1.0     -   1.00e+00  2  1h
   8  0.0000000e+00 1.10e-01 1.01e-18 1.00e-06  -1.7     -   1.00e+00  2  1h
   9  0.0000000e+00 1.89e-02 2.36e-18 1.00e-06  -2.5     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 1.28e-03 5.80e-13 1.00e-06  -3.8     -   1.00e+00  2  1h
  11  0.0000000e+00 7.94e-06 1.48e-12 1.00e-06  -5.7     -   1.00e+00  2  1h
  12  0.0000000e+00 3.12e-10 4.76e-11 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   4.7578945927064995e-11    4.7578945927064995e-11
Constraint violation....:   3.1210234397037871e-10    3.1210234397037871e-10
Complementarity.........:   2.5059035609285801e-09    2.5059035609285801e-09
Overall NLP error.......:   2.5059035609285801e-09    2.5059035609285801e-09

Number of objective function evaluations              = 22
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 22
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 27

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.012 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.052 s

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