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.............:    20000

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  2.9250000e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.2450483e+05 0.00e+00 8.82e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  6.2033258e+04 0.00e+00 4.95e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  2.2938270e+04 0.00e+00 1.67e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   4  9.6394462e+03 0.00e+00 1.55e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   5  3.9816639e+03 0.00e+00 1.35e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  1.3733423e+03 0.00e+00 9.07e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  3.2569513e+02 0.00e+00 5.10e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   8  3.7186169e+01 0.00e+00 1.85e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   9  9.3154165e-01 0.00e+00 3.26e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.5245508e-04 0.00e+00 9.78e-04 0.00e+00  -2.5     -   1.00e+00  1  1f
  11  7.7287845e-10 0.00e+00 9.58e-07 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  6.3807755e-22 0.00e+00 8.48e-13 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   1.3314752283507123e-25    6.3807754778159845e-22
Dual infeasibility......:   8.4765729251387914e-13    4.0621941366225623e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.7688048906233785e-16    8.4765729251387914e-13

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 12

Total wall secs in initialization                     =  0.028 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.057 s

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