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.............:    14997

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  2.9494100e+05 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  5.5159576e+04 0.00e+00 2.88e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  1.2201313e+04 0.00e+00 7.79e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  6.0220882e+03 0.00e+00 1.75e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  5.5555157e+03 0.00e+00 3.87e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  5.5486720e+03 0.00e+00 7.67e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  5.5486684e+03 0.00e+00 2.74e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  5.5486684e+03 0.00e+00 1.99e-06 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  5.5486684e+03 0.00e+00 1.07e-12 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.4747325963030416e+03    5.5486684194157724e+03
Dual infeasibility......:   1.0681419906272674e-12    1.3244960683778118e-12
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   8.6140483115102207e-13    1.0681419906272674e-12

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

Total wall secs in initialization                     =  0.003 s
Total wall secs in linear solver                      =  0.033 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.007 s
Total wall secs                                       =  0.044 s

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