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.............: 12502500

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  2.5149432e+05 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  3.1217928e+04 0.00e+00 2.38e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  3.8143025e+03 0.00e+00 5.40e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  4.4755646e+02 0.00e+00 1.13e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  4.8784634e+01 0.00e+00 2.18e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  4.9209185e+00 0.00e+00 4.20e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  4.8090101e-01 0.00e+00 1.09e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  4.7061922e-02 0.00e+00 2.94e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  4.5654462e-03 0.00e+00 7.80e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  4.3220579e-04 0.00e+00 2.23e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  3.9879954e-05 0.00e+00 5.79e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  11  3.7444824e-06 0.00e+00 1.47e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  3.4571432e-07 0.00e+00 3.05e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  13  1.5281152e-07 0.00e+00 2.07e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  14  5.3318062e-08 0.00e+00 1.51e-06 0.00e+00  -8.6     -   5.00e-01  1  2f
  15  4.8751899e-09 0.00e+00 3.52e-07 0.00e+00  -8.6   -4.0  1.00e+00  1  1f
  16  3.6627936e-10 0.00e+00 6.74e-08 0.00e+00  -8.6   -4.5  1.00e+00  1  1f
  17  2.8573817e-11 0.00e+00 1.81e-08 0.00e+00  -8.6   -5.0  1.00e+00  1  1f
  18  2.2172314e-11 0.00e+00 1.53e-08 0.00e+00  -9.0     -   1.25e-01  1  4f
  19  1.6912256e-12 0.00e+00 3.02e-09 0.00e+00  -9.0   -5.4  1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   3.2761164350905350e-13    1.6912256212884775e-12
Dual infeasibility......:   3.0223246866614452e-09    1.5602110142319321e-08
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   5.8546225018799464e-10    3.0223246866614452e-09

Number of objective function evaluations              = 32
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 32
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 23
Number of KKT backsolves                              = 27

Total wall secs in initialization                     =  0.593 s
Total wall secs in linear solver                      =  3.701 s
Total wall secs in NLP function evaluations           =  0.051 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.062 s
Total wall secs                                       =  4.407 s

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