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.............:      200

Total number of variables............................:        4
                     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  7.9266933e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.7117442e+06 0.00e+00 2.75e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  4.9819526e+05 0.00e+00 6.64e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  2.0347050e+05 0.00e+00 1.91e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  9.5119799e+04 0.00e+00 7.79e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  8.6056531e+04 0.00e+00 1.02e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  8.5822259e+04 0.00e+00 9.67e-04 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  8.5822202e+04 0.00e+00 1.96e-07 0.00e+00  -5.7     -   1.00e+00  1  1f
   8  8.5822202e+04 0.00e+00 1.82e-14 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.8233914014238888e+00    8.5822201626356342e+04
Dual infeasibility......:   1.8197135326410305e-14    3.2378011383116245e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.0227179494425746e-18    1.8197135326410305e-14

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                          = 8
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.)  =  0.003 s
Total wall secs                                       =  0.019 s

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