This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:    14998
Number of nonzeros in Lagrangian Hessian.............:    59992

Total number of variables............................:    10000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    10000
                     variables with only upper bounds:        0
Total number of equality constraints.................:     5000
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  5.6255625e+07 3.00e+00 1.00e+02 9.50e+00  -1.0     -   0.00e+00  4  0 
   1  5.5005168e+07 2.64e+00 8.81e+01 8.17e+00  -1.0     -   1.20e-01  3  1h
   2  5.5107586e+07 2.49e+00 8.31e+01 6.40e+00  -1.0     -   5.70e-02  3  1h
   3  5.6122850e+07 2.27e+00 7.59e+01 4.78e+00  -1.0     -   8.68e-02  3  1h
   4  5.9841486e+07 1.90e+00 6.33e+01 3.51e+00  -1.0     -   1.66e-01  3  1h
   5  6.4464848e+07 1.60e+00 5.34e+01 2.76e+00  -1.0     -   1.55e-01  3  1h
   6  6.9552481e+07 1.35e+00 4.78e+01 1.95e+00  -1.0     -   1.57e-01  2  1h
   7  7.5193491e+07 1.11e+00 6.20e+01 1.08e+00  -1.0     -   1.78e-01  3  1h
   8  8.3501951e+07 7.97e-01 5.75e+01 4.56e-01  -1.0     -   2.82e-01  3  1h
   9  9.2138029e+07 5.06e-01 4.50e+01 3.15e-01  -1.0     -   3.66e-01  3  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.0260529e+08 1.83e-01 1.65e+01 1.77e-01  -1.0     -   6.38e-01  2  1h
  11  1.0889922e+08 1.78e-15 3.61e-09 1.29e-01  -1.0     -   1.00e+00  3  1h
  12  1.0874532e+08 1.78e-15 8.62e-01 3.29e-02  -2.5     -   8.39e-01  3  1f
  13  1.0871071e+08 1.78e-15 8.11e-09 9.58e-03  -2.5     -   1.00e+00  2  1f
  14  1.0870514e+08 1.78e-15 1.57e-04 2.46e-03  -3.8     -   1.00e+00  2  1f
  15  1.0870510e+08 1.78e-15 4.50e-10 6.86e-04  -3.8     -   1.00e+00  2  1f
  16  1.0870480e+08 1.78e-15 4.05e-04 1.66e-04  -5.7     -   9.97e-01  3  1f
  17  1.0870480e+08 1.78e-15 3.49e-11 3.83e-05  -5.7     -   1.00e+00  2  1f
  18  1.0870480e+08 1.78e-15 1.37e-11 7.70e-06  -5.7     -   1.00e+00  2  1f
  19  1.0870480e+08 1.78e-15 2.28e-11 5.70e-07  -8.6     -   1.00e+00  2  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  1.0870480e+08 1.78e-15 3.78e-11 6.73e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   2.0705676085660548e+05    1.0870479944971788e+08
Dual infeasibility......:   3.7800873542437330e-11    1.9845458609779598e-08
Constraint violation....:   1.7763568394002505e-15    1.7763568394002505e-15
Complementarity.........:   1.2824990215083825e-11    6.7331198629190085e-09
Overall NLP error.......:   6.7331198629190085e-09    6.7331198629190085e-09

Number of objective function evaluations              = 21
Number of objective gradient evaluations              = 21
Number of constraint evaluations                      = 21
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 20
Number of KKT factorizations                          = 21
Number of KKT backsolves                              = 55

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.917 s
Total wall secs in NLP function evaluations           =  0.006 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.052 s
Total wall secs                                       =  0.988 s

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