This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:       60

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...............:        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  1.8845685e+00 0.00e+00 5.36e+00 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  3.5019987e-01 0.00e+00 1.56e-05 1.56e-06  -1.0   -2.0  1.00e+00  1  1f
   2  8.2711359e-02 0.00e+00 2.78e+00 1.33e-08  -8.6     -   1.00e+00  1  1f
   3  6.9184527e-02 0.00e+00 6.77e-03 2.49e-09  -8.6   -2.5  1.00e+00  1  1f
   4  2.3491148e-03 0.00e+00 2.45e-01 2.47e-09  -8.6   -3.0  1.00e+00  1  1f
   5  2.9779684e-05 0.00e+00 7.29e-03 2.38e-09  -8.6     -   1.00e+00  1  1f
   6  1.7023973e-08 0.00e+00 1.60e-04 2.53e-09  -8.6     -   1.00e+00  1  1f
   7  7.3348899e-15 0.00e+00 9.69e-08 2.51e-09  -8.6     -   1.00e+00  1  1f
   8  1.3614127e-27 0.00e+00 4.14e-14 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   1.3614126618725912e-27    1.3614126618725912e-27
Dual infeasibility......:   4.1411318818518339e-14    4.1411318818518339e-14
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5059035735915096e-09    2.5059035735915096e-09
Overall NLP error.......:   2.5059035735915096e-09    2.5059035735915096e-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                          = 12
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.013 s
Total wall secs in linear solver                      =  0.004 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.010 s
Total wall secs                                       =  0.027 s

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