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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        3

Total number of variables............................:        2
                     variables with only lower bounds:        2
                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:        0
   inequality constraints with lower and upper bounds:        1
        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 9.80e-01 1.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  7.6748579e-30 9.80e-01 6.00e-03 2.00e-06  -1.7     -   5.00e-07  1  2h
   2  8.7530165e-15 5.24e-17 3.23e-11 7.55e-05  -1.7     -   1.00e+00  2  1h
   3  1.5992203e-15 6.57e-17 1.95e-09 1.89e-06  -5.7     -   1.00e+00  1  1h
   4  4.2616238e-27 3.17e-17 9.54e-14 2.52e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 4

                                   (scaled)                 (unscaled)
Objective...............:   4.2616238252302110e-27    4.2616238252302110e-27
Dual infeasibility......:   9.5405667822337156e-14    9.5405667822337156e-14
Constraint violation....:   3.1666310189489767e-17    3.1666310189489767e-17
Complementarity.........:   2.5179860938518721e-09    2.5179860938518721e-09
Overall NLP error.......:   2.5179860938518721e-09    2.5179860938518721e-09

Number of objective function evaluations              = 6
Number of objective gradient evaluations              = 5
Number of constraint evaluations                      = 6
Number of constraint Jacobian evaluations             = 5
Number of Lagrangian Hessian evaluations              = 4
Number of KKT factorizations                          = 4
Number of KKT backsolves                              = 5

Total wall secs in initialization                     =  0.014 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                                       =  0.024 s

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