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

Number of nonzeros in constraint Jacobian............:        4
Number of nonzeros in Lagrangian Hessian.............:        0

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 7.00e+00 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 7.00e+00 5.55e-11 1.00e-06  -1.0     -   1.00e-07  1  2h
   2  0.0000000e+00 5.93e-25 5.90e-21 1.00e-06  -1.0     -   1.00e+00  2  1h
   3  0.0000000e+00 5.93e-25 6.82e-25 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 3

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   6.8173970796401387e-25    6.8173970796401387e-25
Constraint violation....:   5.9292054381093477e-25    5.9292054381093477e-25
Complementarity.........:   2.5059035606682299e-09    2.5059035606682299e-09
Overall NLP error.......:   2.5059035606682299e-09    2.5059035606682299e-09

Number of objective function evaluations              = 5
Number of objective gradient evaluations              = 4
Number of constraint evaluations                      = 5
Number of constraint Jacobian evaluations             = 4
Number of Lagrangian Hessian evaluations              = 3
Number of KKT factorizations                          = 3
Number of KKT backsolves                              = 4

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.002 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.007 s
Total wall secs                                       =  0.025 s

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