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

Number of nonzeros in constraint Jacobian............:    40000
Number of nonzeros in Lagrangian Hessian.............:    10000

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.................:    10000
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  0.0000000e+00 7.67e-02 0.00e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 2.27e-02 0.00e+00 0.00e+00  -2.5     -   1.00e+00  1  1h
   2  0.0000000e+00 6.74e-03 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   3  0.0000000e+00 2.00e-03 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   4  0.0000000e+00 5.92e-04 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   5  0.0000000e+00 1.76e-04 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   6  0.0000000e+00 5.23e-05 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   7  0.0000000e+00 1.57e-05 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   8  0.0000000e+00 4.79e-06 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
   9  0.0000000e+00 1.58e-06 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 6.03e-07 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  11  0.0000000e+00 1.94e-07 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  12  0.0000000e+00 1.46e-08 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  13  0.0000000e+00 2.01e-10 0.00e+00 0.00e+00  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
Constraint violation....:   2.0138701817273841e-10    2.0138701817273841e-10
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   2.0138701817273841e-10    2.0138701817273841e-10

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

Total wall secs in initialization                     =  0.011 s
Total wall secs in linear solver                      =  0.055 s
Total wall secs in NLP function evaluations           =  0.011 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.022 s
Total wall secs                                       =  0.099 s

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