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.............:    29994

Total number of variables............................:     5000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:     5000
                     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  4.9990000e+03 0.00e+00 3.50e+00 3.00e+00  -1.0     -   0.00e+00  0  0 
   1 -3.8072557e+03 0.00e+00 2.38e+00 1.19e+00  -1.0     -   4.62e-01  1  1f
   2 -4.2461575e+03 0.00e+00 6.65e-01 4.58e-01  -1.0     -   1.00e+00  1  1f
   3 -4.5341386e+03 0.00e+00 2.39e-01 4.03e-02  -1.7     -   1.00e+00  1  1f
   4 -4.5653296e+03 0.00e+00 6.91e-03 2.15e-02  -1.7     -   1.00e+00  1  1f
   5 -4.5665781e+03 0.00e+00 1.04e-03 1.25e-03  -3.8     -   1.00e+00  1  1f
   6 -4.5665806e+03 0.00e+00 2.99e-06 6.48e-06  -5.7     -   1.00e+00  1  1f
   7 -4.5665806e+03 0.00e+00 4.12e-11 2.61e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -4.5665805528118544e+03   -4.5665805528118544e+03
Dual infeasibility......:   4.1206157434016630e-11    4.1206157434016630e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.6061390930963299e-09    2.6061390930963299e-09
Overall NLP error.......:   2.6061390930963299e-09    2.6061390930963299e-09

Number of objective function evaluations              = 8
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 8
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.022 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.040 s

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