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

Number of nonzeros in constraint Jacobian............:    70010
Number of nonzeros in Lagrangian Hessian.............:    15010

Total number of variables............................:    10010
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    10010
                     variables with only upper bounds:        0
Total number of equality constraints.................:     5000
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        1
   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  1.2512500e+03 5.00e+00 5.00e-01 4.99e+03  -1.0     -   0.00e+00  1  0 
   1  7.5814458e+02 4.09e-11 5.40e-01 2.22e+03  -1.0     -   1.00e+00  1  1h
   2  3.2697613e+02 6.78e-11 1.67e-15 5.03e+02  -1.0     -   1.00e+00  1  1f
   3  3.2429234e+02 1.96e-11 3.06e-01 5.03e+00  -1.0    0.0  1.00e+00  1  1f
   4  3.2168415e+02 6.82e-12 3.08e-01 1.00e-01  -1.0    0.4  1.00e+00  1  1f
   5 -2.3663767e+01 4.37e-11 2.68e-01 3.86e-02  -1.7   -0.1  1.00e+00  1  1f
   6 -6.1675156e+02 2.73e-12 4.02e-01 2.31e-02  -1.7    0.4  1.00e+00  2  1f
   7 -9.6599221e+02 6.37e-12 4.68e-01 2.00e-02  -1.7    0.8  1.00e+00  1  1f
   8 -2.4401230e+03 3.64e-12 6.50e-01 2.05e-02  -1.7    0.3  6.58e-01  2  1f
   9 -4.9642376e+03 3.71e-11 5.37e-01 2.26e-02  -1.7     -   4.23e-02  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -4.4701425e+03 1.16e-10 1.50e-10 1.29e-01  -1.7     -   1.00e+00  1  1f
  11 -4.9722621e+03 4.87e-11 9.20e-05 3.04e-03  -2.5     -   9.99e-01  1  1f
  12 -4.9787526e+03 3.52e-11 2.63e-03 2.10e-03  -3.8     -   2.82e-01  1  1f
  13 -4.9937085e+03 2.36e-12 1.16e-02 1.55e-02  -3.8     -   9.33e-01  2  1f
  14 -4.9935263e+03 1.95e-12 5.15e-01 1.50e-04  -3.8     -   2.12e-01  1  1f
  15 -4.9929655e+03 7.99e-14 3.33e-16 1.53e-04  -3.8     -   1.00e+00  2  1f
  16 -4.9937069e+03 4.55e-13 3.60e-02 1.98e-05  -5.7     -   8.11e-01  2  1f
  17 -4.9937922e+03 1.95e-13 4.19e-12 2.09e-06  -5.7     -   1.00e+00  1  1f
  18 -4.9938002e+03 3.99e-13 7.52e-06 5.29e-09  -8.6     -   9.98e-01  1  1f
  19 -4.9938002e+03 2.58e-13 3.33e-16 2.51e-09  -8.6     -   1.00e+00  2  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:  -4.9938002074019778e+03   -4.9938002074019778e+03
Dual infeasibility......:   3.3306690738754696e-16    3.3306690738754696e-16
Constraint violation....:   2.5832306500621368e-13    2.5832306500621368e-13
Complementarity.........:   2.5059151745895952e-09    2.5059151745895952e-09
Overall NLP error.......:   2.5059151745895952e-09    2.5059151745895952e-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                          = 31
Number of KKT backsolves                              = 26

Total wall secs in initialization                     =  0.006 s
Total wall secs in linear solver                      =  0.094 s
Total wall secs in NLP function evaluations           =  0.006 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.053 s
Total wall secs                                       =  0.159 s

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