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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:    22110

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        2
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   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  1.2623475e+00 0.00e+00 5.04e+01 9.03e+00  -1.0     -   0.00e+00  0  0 
   1  7.0331632e-01 0.00e+00 4.59e+00 2.42e-01  -1.0     -   1.00e+00  1  1f
   2  5.2471962e-01 0.00e+00 1.43e+01 1.66e-01  -1.0     -   1.00e+00  1  1f
   3  4.1987422e-01 0.00e+00 1.42e-01 1.00e-01  -1.0     -   1.00e+00  1  1f
   4  4.1664029e-01 0.00e+00 2.43e-01 6.69e-03  -2.5     -   1.00e+00  1  1f
   5  4.1660370e-01 0.00e+00 2.04e-03 2.84e-03  -2.5     -   1.00e+00  1  1f
   6  4.1660295e-01 0.00e+00 5.75e-05 1.52e-04  -3.8     -   1.00e+00  1  1f
   7  4.1660294e-01 0.00e+00 2.41e-07 1.85e-06  -5.7     -   1.00e+00  1  1f
   8  4.1660294e-01 0.00e+00 3.66e-11 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.1660294451514379e-01    4.1660294451514379e-01
Dual infeasibility......:   3.6595050988447467e-11    3.6595050988447467e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5070009972682307e-09    2.5070009972682307e-09
Overall NLP error.......:   2.5070009972682307e-09    2.5070009972682307e-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                          = 8
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.039 s
Total wall secs                                       =  0.065 s

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