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

Number of nonzeros in constraint Jacobian............:    15000
Number of nonzeros in Lagrangian Hessian.............:    25000

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.................:     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  2.5000000e+03 1.00e+00 1.00e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  2.8383147e+03 3.98e-01 5.15e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   2  1.0041431e+04 2.04e-01 1.12e+00 0.00e+00  -1.7     -   1.00e+00  1  1h
   3  2.2476749e+04 6.35e-02 1.68e+00 0.00e+00  -1.7     -   1.00e+00  1  1h
   4  3.9859572e+04 2.28e-02 1.98e+00 0.00e+00  -1.7     -   1.00e+00  1  1h
   5  6.1922105e+04 8.50e-03 6.97e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   6  8.7838175e+04 3.10e-03 2.54e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   7  1.1486224e+05 1.11e-03 1.01e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   8  1.3346125e+05 6.39e-04 2.40e-02 0.00e+00  -2.5     -   1.00e+00  1  1h
   9  1.3479809e+05 2.86e-05 2.27e-03 0.00e+00  -3.8     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.3485012e+05 1.15e-07 2.02e-05 0.00e+00  -3.8     -   1.00e+00  1  1h
  11  1.3485062e+05 1.09e-11 1.61e-09 0.00e+00  -5.7     -   1.00e+00  1  1h

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:   1.3485061625893391e+05    1.3485061625893391e+05
Dual infeasibility......:   1.6093698665617297e-09    1.6093698665617297e-09
Constraint violation....:   1.0899419821547296e-11    1.0899419821547296e-11
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.6093698665617297e-09    1.6093698665617297e-09

Number of objective function evaluations              = 12
Number of objective gradient evaluations              = 12
Number of constraint evaluations                      = 12
Number of constraint Jacobian evaluations             = 12
Number of Lagrangian Hessian evaluations              = 11
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 12

Total wall secs in initialization                     =  0.006 s
Total wall secs in linear solver                      =  0.053 s
Total wall secs in NLP function evaluations           =  0.012 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.089 s

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