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.............:    59988

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...............:        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  5.0485565e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.8006121e+06 0.00e+00 5.64e+01 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  1.8307676e+06 0.00e+00 8.32e+01 0.00e+00  -1.0     -   5.00e-01  1  2f
   3  6.8925271e+05 0.00e+00 1.78e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  6.0892246e+05 0.00e+00 2.23e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  6.0815928e+05 0.00e+00 1.76e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   6  6.0815919e+05 0.00e+00 7.09e-04 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  6.0815919e+05 0.00e+00 1.28e-08 0.00e+00  -5.7     -   1.00e+00  1  1f
   8  6.0815919e+05 0.00e+00 9.61e-09 0.00e+00  -9.0     -   2.50e-01  1  3f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.4586450809848160e+04    6.0815918904632889e+05
Dual infeasibility......:   9.6055732934331088e-09    1.3102001972242761e-07
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   7.0422091594084383e-10    9.6055732934331088e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.021 s
Total wall secs in linear solver                      =  0.008 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.006 s
Total wall secs                                       =  0.037 s

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