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.............:    15000

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  2.6875000e+05 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  3.9753086e+04 0.00e+00 3.06e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  7.8524615e+03 0.00e+00 9.06e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.5511035e+03 0.00e+00 2.69e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  3.0639082e+02 0.00e+00 7.96e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  6.0521643e+01 0.00e+00 2.36e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  1.1954892e+01 0.00e+00 6.98e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  2.3614602e+00 0.00e+00 2.07e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  4.6646128e-01 0.00e+00 6.13e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  9.2140500e-02 0.00e+00 1.82e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.8200593e-02 0.00e+00 5.38e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  3.5951788e-03 0.00e+00 1.60e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  7.1015877e-04 0.00e+00 4.73e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  1.4027828e-04 0.00e+00 1.40e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  2.7709289e-05 0.00e+00 4.15e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  5.4734398e-06 0.00e+00 1.23e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  1.0811733e-06 0.00e+00 3.64e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  2.1356510e-07 0.00e+00 1.08e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  4.2185698e-08 0.00e+00 3.20e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  19  8.3329773e-09 0.00e+00 9.48e-09 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   2.6880572062537256e-09    8.3329773393865493e-09
Dual infeasibility......:   9.4751592584111753e-09    2.9372993701074644e-08
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   3.0565029865842501e-09    9.4751592584111753e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.007 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.038 s

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