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.............:   210000

Total number of variables............................:    10000
                     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  1.4063906e+07 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.7780556e+06 0.00e+00 2.96e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  5.4875171e+05 0.00e+00 8.78e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.0839540e+05 0.00e+00 2.60e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  2.1411437e+04 0.00e+00 7.71e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  4.2294197e+03 0.00e+00 2.28e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  8.3544092e+02 0.00e+00 6.77e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  1.6502537e+02 0.00e+00 2.00e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  3.2597604e+01 0.00e+00 5.94e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  6.4390328e+00 0.00e+00 1.76e-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  1.2719077e+00 0.00e+00 5.22e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  2.5124103e-01 0.00e+00 1.55e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  4.9627858e-02 0.00e+00 4.58e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  9.8030336e-03 0.00e+00 1.36e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  1.9364017e-03 0.00e+00 4.02e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  3.8249910e-04 0.00e+00 1.19e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  7.5555378e-05 0.00e+00 3.53e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  1.4924519e-05 0.00e+00 1.05e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  2.9480532e-06 0.00e+00 3.10e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  19  5.8233149e-07 0.00e+00 9.18e-09 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   1.8269223172217825e-09    5.8233148861444320e-07
Dual infeasibility......:   9.1790605314104468e-09    2.9258255443870800e-06
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   2.8797052647562186e-11    9.1790605314104468e-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                     =  0.208 s
Total wall secs in linear solver                      =  4.349 s
Total wall secs in NLP function evaluations           =  0.005 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.020 s
Total wall secs                                       =  4.581 s

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