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.............:    14998

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  1.9996040e+06 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  7.9425918e+00 0.00e+00 1.99e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  1.3069534e-03 0.00e+00 1.12e-06 0.00e+00  -2.5     -   1.00e+00  1  1f
   3  5.8401583e-06 0.00e+00 1.67e-04 0.00e+00  -8.6     -   1.00e+00  1  1f
   4  1.7307357e-11 0.00e+00 2.97e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
   5  1.0520029e-21 0.00e+00 2.12e-12 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 5

                                   (scaled)                 (unscaled)
Objective...............:   5.2589522848154118e-26    1.0520029186353890e-21
Dual infeasibility......:   2.1183046252257454e-12    4.2374650455200821e-08
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.0589384070546477e-16    2.1183046252257454e-12

Number of objective function evaluations              = 6
Number of objective gradient evaluations              = 6
Number of constraint evaluations                      = 6
Number of constraint Jacobian evaluations             = 6
Number of Lagrangian Hessian evaluations              = 5
Number of KKT factorizations                          = 5
Number of KKT backsolves                              = 5

Total wall secs in initialization                     =  0.023 s
Total wall secs in linear solver                      =  0.002 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.034 s

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