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.............:        4

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 2.77e+01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 2.77e+01 7.18e-10 1.00e-06  -1.0     -   1.00e-07  1  2h
   2  0.0000000e+00 8.14e+00 2.73e-16 1.00e-06  -1.0     -   1.00e+00  2  1h
   3  0.0000000e+00 2.04e+00 7.91e-17 1.00e-06  -1.0     -   1.00e+00  2  1h
   4  0.0000000e+00 4.63e-01 1.48e-16 1.00e-06  -1.0     -   1.00e+00  2  1H
   5  0.0000000e+00 8.60e-02 1.46e-16 1.00e-06  -1.7     -   1.00e+00  2  1h
   6  0.0000000e+00 2.24e-03 5.37e-17 1.00e-06  -2.5     -   1.00e+00  2  1h
   7  0.0000000e+00 1.84e-06 1.68e-18 1.00e-06  -3.8     -   1.00e+00  2  1h
   8  0.0000000e+00 1.27e-12 5.82e-10 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   5.8230325475772290e-10    5.8230325475772290e-10
Constraint violation....:   1.2745360323998449e-12    1.2745360323998449e-12
Complementarity.........:   2.5059035616322618e-09    2.5059035616322618e-09
Overall NLP error.......:   2.5059035616322618e-09    2.5059035616322618e-09

Number of objective function evaluations              = 11
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 11
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 8
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.007 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.036 s

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