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.............:    40012

Total number of variables............................:     5001
                     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  1.2508335e+09 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  1  0 
   1 -6.8212614e+00 0.00e+00 4.88e-07 0.00e+00  -1.0     -   1.00e+00  1  1f
   2 -8.4191896e+00 0.00e+00 3.31e-04 0.00e+00  -8.6     -   1.00e+00  1  1f
   3 -8.4192815e+00 0.00e+00 3.29e-04 0.00e+00  -8.6    2.0  1.00e+00  1  1f
   4 -8.4193158e+00 0.00e+00 3.28e-04 0.00e+00  -8.6    2.4  1.00e+00  1  1f
   5 -8.5163885e+00 0.00e+00 4.60e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
   6 -8.5163885e+00 0.00e+00 2.16e-07 0.00e+00  -8.6    1.9  1.00e+00  1  1f
   7 -8.5189219e+00 0.00e+00 4.76e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
   8 -8.5189307e+00 0.00e+00 2.06e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
   9 -8.5189307e+00 0.00e+00 3.41e-08 0.00e+00  -9.0    1.5  2.50e-01  1  3f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -8.5189307e+00 0.00e+00 1.70e-08 0.00e+00  -9.0     -   1.00e+00  1  1f
  11 -8.5189307e+00 0.00e+00 4.24e-10 0.00e+00  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:  -1.7024240627390861e-04   -8.5189306909160223e+00
Dual infeasibility......:   4.2409218373599574e-10    2.1221574570517987e-05
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   8.4750629463577830e-15    4.2409218373599574e-10

Number of objective function evaluations              = 18
Number of objective gradient evaluations              = 12
Number of constraint evaluations                      = 18
Number of constraint Jacobian evaluations             = 12
Number of Lagrangian Hessian evaluations              = 11
Number of KKT factorizations                          = 20
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.011 s
Total wall secs in linear solver                      =  0.041 s
Total wall secs in NLP function evaluations           =  0.011 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.016 s
Total wall secs                                       =  0.079 s

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