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.............:    20200

Total number of variables............................:    20200
                     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  1.0100000e+04 1.00e+00 1.00e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  1.8183681e+06 1.45e-12 1.73e-13 0.00e+00  -1.7     -   1.00e+00  1  1h

Number of Iterations....: 1

                                   (scaled)                 (unscaled)
Objective...............:   1.8183680655702883e+06    1.8183680655702883e+06
Dual infeasibility......:   1.7299084734349625e-13    1.7299084734349625e-13
Constraint violation....:   1.4512835377900046e-12    1.4512835377900046e-12
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.4512835377900046e-12    1.4512835377900046e-12

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                              = 2

Total wall secs in initialization                     =  0.021 s
Total wall secs in linear solver                      =  0.198 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.228 s

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