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

Number of nonzeros in constraint Jacobian............:    19996
Number of nonzeros in Lagrangian Hessian.............:     4998

Total number of variables............................:     5000
                     variables with only lower bounds:     5000
                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 1.00e+00 1.00e+00 1.00e+00  -1.0     -   0.00e+00  1  0 
   1  0.0000000e+00 8.10e-01 7.90e-03 1.33e+00  -1.7     -   1.90e-01  1  1h
   2  0.0000000e+00 7.13e-03 5.96e-05 1.44e-02  -1.7     -   9.91e-01  1  1h
   3  0.0000000e+00 1.43e-09 2.15e-11 2.79e-03  -3.8     -   1.00e+00  1  1h
   4  0.0000000e+00 9.18e-10 2.91e-10 1.51e-04  -3.8     -   1.00e+00  1  1h
   5  0.0000000e+00 2.69e-10 5.61e-10 1.88e-06  -5.7     -   1.00e+00  1  1h
   6  0.0000000e+00 5.24e-13 6.13e-12 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 6

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   6.1261412609425747e-12    6.1261412609425747e-12
Constraint violation....:   5.2380750395224396e-13    5.2380750395224396e-13
Complementarity.........:   2.5059036255599625e-09    2.5059036255599625e-09
Overall NLP error.......:   2.5059036255599625e-09    2.5059036255599625e-09

Number of objective function evaluations              = 7
Number of objective gradient evaluations              = 7
Number of constraint evaluations                      = 7
Number of constraint Jacobian evaluations             = 7
Number of Lagrangian Hessian evaluations              = 6
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.009 s
Total wall secs in linear solver                      =  0.037 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.016 s
Total wall secs                                       =  0.063 s

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