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

Number of nonzeros in constraint Jacobian............:        9
Number of nonzeros in Lagrangian Hessian.............:       12

Total number of variables............................:        5
                     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...............:        3
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        3
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  7.5160000e+03 0.00e+00 1.00e+02 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  2.7672727e+02 3.55e-15 4.18e-04 1.24e-06  -1.0     -   1.00e+00  1  1f
   2  5.7732730e+01 6.04e-11 6.80e+00 1.24e-06  -5.7   -4.0  1.00e+00  1  1f
   3  1.2543225e+01 4.36e-16 2.07e+00 1.00e-06  -5.7     -   1.00e+00  2  1f
   4  2.7798280e+00 7.01e-16 6.48e-01 1.00e-06  -5.7     -   1.00e+00  2  1f
   5  5.2867930e-01 5.36e-16 2.03e-01 1.00e-06  -5.7     -   1.00e+00  3  1f
   6  4.1468543e-02 2.21e-16 4.86e-02 1.00e-06  -5.7     -   1.00e+00  3  1f
   7  7.8718046e-05 3.47e-16 2.08e-03 1.00e-06  -5.7     -   1.00e+00  3  1f
   8  6.3860707e-13 8.87e-16 1.87e-07 1.00e-06  -5.7     -   1.00e+00  3  1f
   9  7.4614592e-21 8.90e-16 2.18e-11 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   7.8707375956839900e-22    7.4614592407084220e-21
Dual infeasibility......:   2.1764653741266828e-11    2.0632891746720954e-10
Constraint violation....:   8.9006465619454215e-16    8.9006465619454215e-16
Complementarity.........:   2.6433581857991735e-10    2.5059035601376163e-09
Overall NLP error.......:   2.5059035601376163e-09    2.5059035601376163e-09

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 10
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 10
Number of Lagrangian Hessian evaluations              = 9
Number of KKT factorizations                          = 10
Number of KKT backsolves                              = 29

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.016 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                                       =  0.051 s

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