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.............:    79936

Total number of variables............................:     5000
                     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  1.1290960e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.2385279e+05 0.00e+00 2.96e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  5.3816751e+04 0.00e+00 8.78e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  2.4949739e+04 0.00e+00 2.60e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  2.0489717e+04 0.00e+00 6.73e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  2.0014077e+04 0.00e+00 6.66e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  2.0006274e+04 0.00e+00 1.14e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  2.0006257e+04 0.00e+00 3.42e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
   8  2.0006257e+04 0.00e+00 2.02e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
   9  2.0006257e+04 0.00e+00 1.89e-10 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   1.3348183132128131e+00    2.0006256878433644e+04
Dual infeasibility......:   1.8888005597234154e-10    2.8309342789134551e-06
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.2602085399809283e-14    1.8888005597234154e-10

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 10
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 10
Number of Lagrangian Hessian evaluations              = 9
Number of KKT factorizations                          = 9
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.028 s
Total wall secs in linear solver                      =  0.006 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.020 s
Total wall secs                                       =  0.057 s

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