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

Number of nonzeros in constraint Jacobian............:        3
Number of nonzeros in Lagrangian Hessian.............:        9

Total number of variables............................:        3
                     variables with only lower bounds:        3
                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:        1
   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  2.2500000e+00 0.00e+00 5.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  4.2403843e-01 0.00e+00 8.59e-01 3.23e-01  -1.0     -   1.00e+00  1  1f
   2  1.7013471e-01 2.50e-16 2.00e-07 8.91e-02  -1.7     -   1.00e+00  1  1f
   3  1.3435450e-01 3.89e-16 2.34e-02 2.47e-02  -2.5     -   1.00e+00  1  1f
   4  1.1333757e-01 1.39e-17 1.50e-09 2.24e-03  -3.8     -   1.00e+00  1  1f
   5  1.1127951e-01 1.02e-16 1.50e-09 1.69e-04  -3.8     -   1.00e+00  1  1f
   6  1.1111322e-01 2.97e-16 1.84e-11 2.11e-06  -5.7     -   1.00e+00  1  1f
   7  1.1111111e-01 1.97e-16 2.57e-14 2.55e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   1.1111111143556052e-01    1.1111111143556052e-01
Dual infeasibility......:   2.5729418595688003e-14    2.5729418595688003e-14
Constraint violation....:   1.9666580375939796e-16    1.9666580375939796e-16
Complementarity.........:   2.5466722165796882e-09    2.5466722165796882e-09
Overall NLP error.......:   2.5466722165796882e-09    2.5466722165796882e-09

Number of objective function evaluations              = 8
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 8
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.003 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.032 s

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