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

Number of nonzeros in constraint Jacobian............:        6
Number of nonzeros in Lagrangian Hessian.............:        8

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        1
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        3
        inequality constraints with only lower bounds:        3
   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  5.9964900e+01 0.00e+00 1.00e+02 1.24e+00  -1.0     -   0.00e+00  0  0 
   1  5.7910133e+01 1.14e-04 9.54e+01 4.46e-01  -1.0    2.0  5.04e-02  1  1f
   2  4.1545599e+01 1.45e-02 7.89e+01 6.92e-01  -1.0     -   1.74e-01  1  1h
   3  4.0974885e+01 6.97e-03 3.81e+01 1.80e-01  -1.0     -   5.20e-01  1  1h
   4  4.0506417e+01 1.03e-05 1.35e-01 1.01e-01  -1.0     -   1.00e+00  1  1h
   5  4.0205647e+01 3.43e-06 7.94e-05 4.22e-03  -2.5     -   1.00e+00  1  1f
   6  4.0199183e+01 1.54e-09 1.79e-07 1.52e-04  -3.8     -   1.00e+00  1  1f
   7  4.0198733e+01 7.66e-12 5.21e-10 1.85e-06  -5.7     -   1.00e+00  1  1f
   8  4.0198727e+01 1.19e-15 8.53e-14 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   2.6450011654240182e+01    4.0198727193693991e+01
Dual infeasibility......:   8.5265128291212022e-14    1.2958594030578748e-13
Constraint violation....:   1.1852378903254429e-15    1.1852378903254429e-15
Complementarity.........:   1.6491709127943593e-09    2.5064099209411168e-09
Overall NLP error.......:   2.5064099209411168e-09    2.5064099209411168e-09

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.019 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.014 s
Total wall secs                                       =  0.040 s

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