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.................:     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  0.0000000e+00 7.99e-08 0.00e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 5.91e-10 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 1

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
Constraint violation....:   5.9106006200515537e-10    5.9106006200515537e-10
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   5.9106006200515537e-10    5.9106006200515537e-10

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                          = 2
Number of KKT backsolves                              = 1

Total wall secs in initialization                     =  0.008 s
Total wall secs in linear solver                      =  0.027 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.007 s
Total wall secs                                       =  0.043 s

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