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.............:       36

Total number of variables............................:        8
                     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  8.0944459e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  5.0310696e-02 0.00e+00 4.78e-14 0.00e+00  -1.0     -   1.00e+00  1  1f

Number of Iterations....: 1

                                   (scaled)                 (unscaled)
Objective...............:   4.7539271606227093e-07    5.0310695820740284e-02
Dual infeasibility......:   4.7789502441758199e-14    5.0575514506976233e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.5156961147983723e-19    4.7789502441758199e-14

Number of objective function evaluations              = 2
Number of objective gradient evaluations              = 2
Number of constraint evaluations                      = 2
Number of constraint Jacobian evaluations             = 2
Number of Lagrangian Hessian evaluations              = 1
Number of KKT factorizations                          = 1
Number of KKT backsolves                              = 1

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.001 s
Total wall secs in NLP function evaluations           =  0.000 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.001 s
Total wall secs                                       =  0.016 s

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