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.............:    34979

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  1.2490400e+05 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.2255470e+05 0.00e+00 6.03e+01 0.00e+00  -1.0    8.0  1.00e+00  1  1f
   2  1.1889813e+05 0.00e+00 3.43e+01 0.00e+00  -1.0    7.5  1.00e+00  1  1f
   3  1.1427826e+05 0.00e+00 1.80e+01 0.00e+00  -1.0    7.0  1.00e+00  1  1f
   4  4.0093514e+04 0.00e+00 1.40e+03 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  3.2054992e+04 0.00e+00 1.30e+04 0.00e+00  -1.0     -   5.00e-01  1  2f
   6  9.3113180e+03 0.00e+00 5.16e+03 0.00e+00  -1.0     -   1.00e+00  1  1f
   7  4.7734628e+03 0.00e+00 3.20e+04 0.00e+00  -1.0     -   1.00e+00  1  1f
   8  3.6974430e+02 0.00e+00 3.07e+03 0.00e+00  -1.0     -   1.00e+00  1  1f
   9  3.0941773e+02 0.00e+00 2.86e+02 0.00e+00  -1.0    6.6  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  7.9886498e+00 0.00e+00 4.97e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
  11  8.0468211e-03 0.00e+00 2.54e-02 0.00e+00  -1.0     -   1.00e+00  1  1f
  12  9.0248182e-09 0.00e+00 4.41e-07 0.00e+00  -3.8     -   1.00e+00  1  1f
  13  1.1735431e-20 0.00e+00 1.29e-10 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   5.9244487101049790e-26    1.1735430944809308e-20
Dual infeasibility......:   1.2880602225634336e-10    2.5514512040363391e-05
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   6.5025705148721016e-16    1.2880602225634336e-10

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 23
Number of KKT backsolves                              = 17

Total wall secs in initialization                     =  0.033 s
Total wall secs in linear solver                      =  0.014 s
Total wall secs in NLP function evaluations           =  0.017 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.072 s

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