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.................:        2
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   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  0.0000000e+00 2.77e+01 0.00e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 8.14e+00 0.00e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   2  0.0000000e+00 2.04e+00 0.00e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   3  0.0000000e+00 4.63e-01 0.00e+00 0.00e+00  -1.0     -   1.00e+00  1  1H
   4  0.0000000e+00 8.60e-02 0.00e+00 0.00e+00  -1.7     -   1.00e+00  1  1h
   5  0.0000000e+00 2.24e-03 0.00e+00 0.00e+00  -2.5     -   1.00e+00  1  1h
   6  0.0000000e+00 1.84e-06 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   7  0.0000000e+00 1.27e-12 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
Constraint violation....:   1.2749801214795298e-12    1.2749801214795298e-12
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.2749801214795298e-12    1.2749801214795298e-12

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 8
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.003 s
Total wall secs in linear solver                      =  0.017 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.029 s

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