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.............:       12

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  1.3421000e+04 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  6.9076220e+02 0.00e+00 3.49e+01 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  3.6910645e+01 0.00e+00 7.53e+00 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  6.7519420e+00 0.00e+00 2.06e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  6.4674571e-01 0.00e+00 5.90e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  1.4520199e-02 0.00e+00 8.61e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  1.1839947e-05 0.00e+00 2.49e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  8.6635070e-12 0.00e+00 2.14e-06 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  4.6589620e-24 0.00e+00 1.57e-12 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   2.7338117704127222e-26    4.6589620191373608e-24
Dual infeasibility......:   1.5712659042284416e-12    2.6777513539861102e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   9.2199618837486304e-15    1.5712659042284416e-12

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                          = 13
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.003 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.004 s
Total wall secs                                       =  0.020 s

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