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

Number of nonzeros in constraint Jacobian............:   125000
Number of nonzeros in Lagrangian Hessian.............:  3252525

Total number of variables............................:     2550
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:     1275
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  4.0425000e+04 0.00e+00 5.00e+01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  3.8816562e-04 5.55e-11 4.90e+03 0.00e+00  -1.0   -4.0  1.00e+00  1  1f
   2  1.4488002e-25 5.90e-11 4.71e-05 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  0.0000000e+00 0.00e+00 1.66e-16 0.00e+00  -5.7     -   1.00e+00  2  1h

Number of Iterations....: 3

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   1.6599558777226700e-16    3.2535135203364333e-16
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   8.4691626414421938e-17    1.6599558777226700e-16

Number of objective function evaluations              = 4
Number of objective gradient evaluations              = 4
Number of constraint evaluations                      = 4
Number of constraint Jacobian evaluations             = 4
Number of Lagrangian Hessian evaluations              = 3
Number of KKT factorizations                          = 5
Number of KKT backsolves                              = 5

Total wall secs in initialization                     =  0.109 s
Total wall secs in linear solver                      =  0.541 s
Total wall secs in NLP function evaluations           =  0.020 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.314 s
Total wall secs                                       =  0.984 s

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