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.............:        3

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  1.0000000e+00 1.00e+00 2.00e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  1.0000000e+00 2.50e-01 6.03e+01 0.00e+00  -1.0   12.0  1.00e+00 10  1h
   2  0.0000000e+00 6.25e-02 2.15e+01 0.00e+00  -1.0     -   1.00e+00  1  1h
   3  0.0000000e+00 1.56e-02 6.86e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   4  0.0000000e+00 3.91e-03 1.99e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   5  0.0000000e+00 9.77e-04 5.39e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   6  0.0000000e+00 2.17e-04 6.23e-01 0.00e+00  -1.7   11.5  1.25e-01  1  4h
   7  0.0000000e+00 5.61e-06 8.40e-02 0.00e+00  -1.7     -   1.00e+00  1  1h
   8  0.0000000e+00 7.01e-09 2.86e-03 0.00e+00  -2.5     -   1.00e+00  1  1h
   9  0.0000000e+00 1.26e-14 3.83e-06 0.00e+00  -3.8     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 4.09e-26 6.91e-12 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 10

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   6.9081437378654727e-12    6.9081437378654727e-12
Constraint violation....:   4.0861492473551597e-26    4.0861492473551597e-26
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   6.9081437378654727e-12    6.9081437378654727e-12

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 11
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 11
Number of Lagrangian Hessian evaluations              = 10
Number of KKT factorizations                          = 21
Number of KKT backsolves                              = 21

Total wall secs in initialization                     =  0.003 s
Total wall secs in linear solver                      =  0.020 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.012 s
Total wall secs                                       =  0.037 s

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