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

Number of nonzeros in constraint Jacobian............:    10002
Number of nonzeros in Lagrangian Hessian.............:    20007

Total number of variables............................:    10000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    10000
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        2
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        2

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0001000e+04 0.00e+00 4.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.5000832e+03 2.50e+03 3.31e-01 4.31e-01  -1.0     -   1.00e+00  2  1f
   2  3.1630078e+03 1.91e+03 9.44e-01 1.63e-01  -1.0     -   2.50e-01  1  1h
   3  6.1014468e+03 4.78e+02 6.29e-01 1.55e-01  -1.0     -   1.00e+00  1  1h
   4  7.0973320e+03 2.47e+02 1.34e+00 1.04e-01  -1.0     -   5.62e-01  1  1h
   5  8.4813323e+03 6.16e+01 1.02e+00 1.50e-01  -1.0     -   1.00e+00  1  1h
   6  8.9924979e+03 2.58e+01 2.44e+00 1.02e-01  -1.0     -   7.03e-01  2  1h
   7  9.4713511e+03 6.21e+00 1.10e+00 1.56e-01  -1.0     -   1.00e+00  2  1h
   8  9.6511488e+03 2.11e+00 4.55e+00 1.00e-01  -1.0     -   7.96e-01  2  1h
   9  9.7693127e+03 3.59e-01 6.40e-01 1.46e-01  -1.0     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  9.7943242e+03 7.88e-02 4.14e+00 2.02e-02  -1.7     -   8.25e-01  2  1h
  11  9.8018484e+03 1.44e-03 1.29e-02 2.08e-02  -1.7     -   1.00e+00  2  1h
  12  9.8019705e+03 3.80e-07 9.67e-06 1.51e-04  -3.8     -   1.00e+00  2  1h
  13  9.8019704e+03 1.63e-13 8.15e-11 1.84e-06  -5.7     -   1.00e+00  1  1h
  14  9.8019704e+03 4.46e-16 3.33e-14 2.51e-09  -8.6     -   1.00e+00  2  1f

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   9.8019704430978745e+03    9.8019704430978745e+03
Dual infeasibility......:   3.3306690738754696e-14    3.3306690738754696e-14
Constraint violation....:   4.4617944893586981e-16    4.4617944893586981e-16
Complementarity.........:   2.5059071149469907e-09    2.5059071149469907e-09
Overall NLP error.......:   2.5059071149469907e-09    2.5059071149469907e-09

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 15
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 15
Number of Lagrangian Hessian evaluations              = 14
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 23

Total wall secs in initialization                     =  0.057 s
Total wall secs in linear solver                      =  0.025 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.033 s
Total wall secs                                       =  0.118 s

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