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.............:  1051010

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  1.0000000e+04 0.00e+00 4.00e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  8.0196894e+03 0.00e+00 1.15e+01 0.00e+00  -1.0   -4.0  1.25e-01  1  4f
   2  7.4440354e+03 0.00e+00 6.47e+00 0.00e+00  -1.0     -   5.00e-01  1  2f
   3  7.3537222e+03 0.00e+00 1.72e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  7.3513310e+03 0.00e+00 4.27e-01 0.00e+00  -1.0   -0.9  1.00e+00  1  1f
   5  7.3513014e+03 0.00e+00 8.22e-02 0.00e+00  -1.7   -1.3  1.00e+00  1  1f
   6  7.3513006e+03 0.00e+00 8.92e-03 0.00e+00  -2.5   -0.9  1.00e+00  1  1f
   7  7.3513006e+03 0.00e+00 3.30e-04 0.00e+00  -3.8   -1.4  1.00e+00  1  1f
   8  7.3513006e+03 0.00e+00 1.19e-04 0.00e+00  -5.7   -1.0  1.00e+00  1  1f
   9  7.3513006e+03 0.00e+00 2.46e-04 0.00e+00  -5.7   -1.4  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  7.3513006e+03 0.00e+00 9.01e-05 0.00e+00  -5.7   -1.0  1.00e+00  1  1f
  11  7.3513006e+03 0.00e+00 1.85e-04 0.00e+00  -5.7   -1.5  1.00e+00  1  1f
  12  7.3513006e+03 0.00e+00 9.68e-05 0.00e+00  -5.7   -1.1  1.00e+00  1  1f
  13  7.3513006e+03 0.00e+00 1.10e-04 0.00e+00  -5.7   -1.5  1.00e+00  1  1f
  14  7.3513006e+03 0.00e+00 9.27e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
  15  7.3513006e+03 0.00e+00 1.58e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  7.3513006e+03 0.00e+00 4.79e-11 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 16

                                   (scaled)                 (unscaled)
Objective...............:   7.3513005849462897e+03    7.3513005849462897e+03
Dual infeasibility......:   4.7889636700659821e-11    4.7889636700659821e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.7889636700659821e-11    4.7889636700659821e-11

Number of objective function evaluations              = 29
Number of objective gradient evaluations              = 17
Number of constraint evaluations                      = 29
Number of constraint Jacobian evaluations             = 17
Number of Lagrangian Hessian evaluations              = 16
Number of KKT factorizations                          = 35
Number of KKT backsolves                              = 24

Total wall secs in initialization                     =  0.067 s
Total wall secs in linear solver                      =  0.035 s
Total wall secs in NLP function evaluations           =  0.021 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.136 s

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