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.............:       20

Total number of variables............................:        2
                     variables with only lower bounds:        1
                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:        0
        inequality constraints with only upper bounds:        1

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  4.9958176e-01 0.00e+00 1.90e+00 8.40e-01  -1.0     -   0.00e+00  0  0 
   1  1.4291978e-01 5.55e-17 1.00e-06 2.63e-01  -1.0     -   1.00e+00  1  1f
   2  6.8784418e-02 0.00e+00 2.00e-07 7.57e-02  -1.7     -   1.00e+00  1  1f
   3  3.2487332e-02 2.78e-17 2.83e-08 1.92e-02  -2.5     -   1.00e+00  1  1f
   4  2.0526574e-02 2.78e-17 5.11e-03 4.00e-03  -3.8     -   1.00e+00  1  1f
   5  1.7463811e-02 3.82e-17 1.50e-09 5.79e-04  -3.8     -   1.00e+00  1  1f
   6  1.6909359e-02 5.55e-17 1.84e-11 1.59e-05  -5.7     -   1.00e+00  1  1f
   7  1.6893506e-02 5.42e-20 2.51e-14 1.29e-08  -8.6     -   1.00e+00  1  1f
   8  1.6893494e-02 8.31e-17 9.15e-15 9.09e-10  -9.0     -   1.00e+00  2  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   1.6893493633642620e-02    1.6893493633642620e-02
Dual infeasibility......:   9.1454621653497270e-15    9.1454621653497270e-15
Constraint violation....:   8.3065715340591454e-17    8.3065715340591454e-17
Complementarity.........:   9.0909715364102315e-10    9.0909715364102315e-10
Overall NLP error.......:   9.0909715364102315e-10    9.0909715364102315e-10

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                              = 9

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.005 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                                       =  0.034 s

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