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

Number of nonzeros in constraint Jacobian............:    20000
Number of nonzeros in Lagrangian Hessian.............:     5000

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...............:     5000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     5000
        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 7.01e-08 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 4.12e-10 8.66e-16 4.35e-09  -8.6     -   1.00e+00  3  1h

Number of Iterations....: 1

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   8.6600258089952606e-16    8.6600258089952606e-16
Constraint violation....:   4.1233879918819448e-10    4.1233879918819448e-10
Complementarity.........:   4.3462928884266460e-09    4.3462928884266460e-09
Overall NLP error.......:   4.3462928884266460e-09    4.3462928884266460e-09

Number of objective function evaluations              = 2
Number of objective gradient evaluations              = 2
Number of constraint evaluations                      = 2
Number of constraint Jacobian evaluations             = 2
Number of Lagrangian Hessian evaluations              = 1
Number of KKT factorizations                          = 1
Number of KKT backsolves                              = 3

Total wall secs in initialization                     =  0.026 s
Total wall secs in linear solver                      =  0.002 s
Total wall secs in NLP function evaluations           =  0.000 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.037 s

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