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

Number of nonzeros in constraint Jacobian............:     9999
Number of nonzeros in Lagrangian Hessian.............:     9998

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 9.00e-01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 9.00e-01 2.69e-10 1.00e-06  -1.7     -   5.00e-07  1  2h
   2  0.0000000e+00 1.03e-24 7.73e-19 1.00e-06  -1.7     -   1.00e+00  2  1h
   3  0.0000000e+00 1.03e-24 1.06e-21 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 3

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   1.0575971847121164e-21    1.0575971847121164e-21
Constraint violation....:   1.0333956778387208e-24    1.0333956778387208e-24
Complementarity.........:   2.5059035606682299e-09    2.5059035606682299e-09
Overall NLP error.......:   2.5059035606682299e-09    2.5059035606682299e-09

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

Total wall secs in initialization                     =  0.049 s
Total wall secs in linear solver                      =  0.003 s
Total wall secs in NLP function evaluations           =  0.000 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.016 s
Total wall secs                                       =  0.069 s

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