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:        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...............:        2
        inequality constraints with only lower bounds:        2
   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  3.0000000e-01 1.21e+00 1.00e+00 1.00e-01  -1.0     -   0.00e+00  0  0 
   1  1.5543859e+00 1.32e-16 3.59e+00 1.09e-01  -1.0     -   1.00e+00  1  1h
   2  1.1972182e+00 1.11e-16 8.87e-01 7.34e-02  -1.0     -   1.00e+00  1  1f
   3  1.0333518e+00 2.22e-16 8.06e-01 4.44e-02  -1.7     -   2.34e-01  1  1f
   4  1.0523637e+00 7.77e-16 2.00e-07 2.84e-02  -1.7     -   1.00e+00  1  1f
   5  1.0036641e+00 8.71e-17 7.52e-03 3.67e-03  -3.8     -   9.16e-01  1  1f
   6  1.0003093e+00 1.44e-16 1.50e-09 1.58e-04  -3.8     -   1.00e+00  1  1f
   7  1.0000036e+00 1.11e-16 1.84e-11 1.91e-06  -5.7     -   1.00e+00  1  1f
   8  9.9999999e-01 6.53e-17 2.52e-14 2.52e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   9.9999998500623954e-01    9.9999998500623954e-01
Dual infeasibility......:   2.5202062658991053e-14    2.5202062658991053e-14
Constraint violation....:   6.5292687706150487e-17    6.5292687706150487e-17
Complementarity.........:   2.5166080793453951e-09    2.5166080793453951e-09
Overall NLP error.......:   2.5166080793453951e-09    2.5166080793453951e-09

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

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.038 s

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