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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:     3000

Total number of variables............................:     1000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:     1000
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
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  3.3408375e+05 0.00e+00 1.00e+02 1.00e+06  -1.0     -   0.00e+00  0  0 
   1 -4.9711428e+02 0.00e+00 1.08e-04 1.09e+04  -1.0     -   1.00e+00  1  1f
   2 -5.0204399e+02 0.00e+00 9.88e-05 1.10e+02  -1.0     -   1.00e+00  1  1f
   3 -5.0204401e+02 0.00e+00 1.09e-06 1.10e+00  -1.0     -   1.00e+00  1  1f
   4 -5.0204401e+02 0.00e+00 2.58e-17 2.00e-02  -1.7     -   1.00e+00  1  1f
   5 -5.0204401e+02 0.00e+00 2.50e-17 1.50e-04  -3.8     -   1.00e+00  1  1f
   6 -5.0204401e+02 0.00e+00 2.13e-17 1.84e-06  -5.7     -   1.00e+00  1  1f
   7 -5.0204401e+02 0.00e+00 2.29e-17 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -5.0154246806868066e+01   -5.0204401053674934e+02
Dual infeasibility......:   2.2881587816606365e-17    2.2904469404422970e-16
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5034001626413045e-10    2.5059035628039458e-09
Overall NLP error.......:   2.5059035628039458e-09    2.5059035628039458e-09

Number of objective function evaluations              = 8
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 8
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.029 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.049 s

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