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:        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  5.0110000e+03 0.00e+00 3.80e+01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  3.9321505e+02 0.00e+00 9.10e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  8.0777608e+00 0.00e+00 1.56e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  6.6852178e-03 0.00e+00 1.03e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  1.9032558e-08 0.00e+00 6.47e-04 0.00e+00  -2.5     -   1.00e+00  1  1f
   5  3.0961543e-17 0.00e+00 2.83e-08 0.00e+00  -5.7     -   1.00e+00  1  1f
   6  6.3478651e-28 0.00e+00 1.82e-14 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 6

                                   (scaled)                 (unscaled)
Objective...............:   6.3478650967003294e-28    6.3478650967003294e-28
Dual infeasibility......:   1.8194584838083621e-14    1.8194584838083621e-14
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.8194584838083621e-14    1.8194584838083621e-14

Number of objective function evaluations              = 7
Number of objective gradient evaluations              = 7
Number of constraint evaluations                      = 7
Number of constraint Jacobian evaluations             = 7
Number of Lagrangian Hessian evaluations              = 6
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.006 s
Total wall secs in linear solver                      =  0.042 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.057 s

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