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.............:        5

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 3.68e-01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 3.68e-01 3.46e-16 3.92e-08  -1.7     -   1.00e-08  2  1h
   2  0.0000000e+00 1.35e-01 8.44e-18 1.98e-08  -1.7     -   1.00e+00  2  1h
   3  0.0000000e+00 4.98e-02 2.45e-15 1.98e-08  -2.5     -   1.00e+00  2  1h
   4  0.0000000e+00 1.83e-02 1.78e-16 1.98e-08  -2.5     -   1.00e+00  2  1h
   5  0.0000000e+00 6.69e-03 6.81e-15 1.98e-08  -3.8     -   1.00e+00  2  1h
   6  0.0000000e+00 2.43e-03 1.62e-15 1.98e-08  -3.8     -   1.00e+00  2  1h
   7  0.0000000e+00 8.66e-04 4.67e-18 1.98e-08  -3.8     -   1.00e+00  2  1h
   8  0.0000000e+00 2.92e-04 2.88e-14 1.98e-08  -5.7     -   1.00e+00  2  1h
   9  0.0000000e+00 8.45e-05 4.02e-16 1.98e-08  -5.7     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 2.19e-05 1.93e-15 1.98e-08  -5.7     -   1.00e+00  2  1h
  11  0.0000000e+00 1.69e-06 1.69e-14 1.98e-08  -5.7     -   1.00e+00  2  1h
  12  0.0000000e+00 7.84e-09 3.64e-12 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   3.6375421923123477e-12    3.6375421923123477e-12
Constraint violation....:   7.8428195093849247e-09    7.8428195093849247e-09
Complementarity.........:   2.5059035596801552e-09    2.5059035596801552e-09
Overall NLP error.......:   7.8428195093849247e-09    7.8428195093849247e-09

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 24

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.043 s

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