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

Number of nonzeros in constraint Jacobian............:     7500
Number of nonzeros in Lagrangian Hessian.............:     2501

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...............:     2500
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     2500
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 1.00e+02 0.00e+00 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  1.4317813e-17 1.00e+02 1.22e-06 4.00e-08  -1.0   -4.0  4.00e-09  1  2h
   2  8.8118499e-01 1.08e-10 3.55e-11 4.00e-08  -1.0   -4.5  1.00e+00  7  1h
   3  8.8109979e-01 1.30e-13 2.38e-05 1.80e-08  -8.6   -2.2  1.00e+00  6  1h
   4  8.8095278e-01 3.66e-14 1.31e-05 4.46e-09  -8.6   -2.7  1.00e+00 10  1f
   5  8.8091597e-01 3.26e-14 1.15e-05 2.59e-09  -8.6   -2.3  1.00e+00 10  1f
   6  8.8090426e-01 3.56e-14 1.09e-05 2.51e-09  -8.6   -1.9  1.00e+00  5  1f
   7  8.8087747e-01 3.54e-14 9.42e-06 2.51e-09  -8.6   -2.3  1.00e+00  7  1f
   8  8.8083664e-01 3.59e-14 6.49e-06 2.51e-09  -8.6   -2.8  1.00e+00 10  1f
   9  8.8082702e-01 3.62e-14 5.57e-06 2.51e-09  -8.6   -2.4  1.00e+00  8  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.8081228e-01 3.74e-14 3.80e-06 2.51e-09  -8.6   -2.9  1.00e+00 10  1f
  11  8.8080876e-01 3.48e-14 3.25e-06 2.51e-09  -8.6   -2.4  1.00e+00  9  1h
  12  8.8080317e-01 3.27e-14 2.21e-06 2.51e-09  -8.6   -2.9  1.00e+00  8  1h
  13  8.8079856e-01 3.56e-14 1.09e-06 2.51e-09  -8.6   -3.4  1.00e+00 10  1h
  14  8.8079787e-01 3.63e-14 8.49e-07 2.51e-09  -8.6   -3.0  1.00e+00 10  1h
  15  8.8079769e-01 3.40e-14 7.63e-07 2.51e-09  -8.6   -2.6  1.00e+00 10  1h
  16  8.8079739e-01 3.40e-14 5.63e-07 2.51e-09  -8.6   -3.0  1.00e+00 10  1h
  17  8.8079713e-01 3.65e-14 2.65e-07 2.51e-09  -8.6   -3.5  1.00e+00 10  1h
  18  8.8079707e-01 3.33e-14 5.93e-08 2.51e-09  -8.6   -4.0  1.00e+00 10  1h
  19  8.8079707e-01 3.83e-14 5.12e-09 2.51e-09  -8.6   -4.5  1.00e+00 10  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   8.8079706550577330e-01    8.8079706550577330e-01
Dual infeasibility......:   5.1194152803687304e-09    5.1194152803687304e-09
Constraint violation....:   3.8338230456937665e-14    3.8338230456937665e-14
Complementarity.........:   2.5059036510237755e-09    2.5059036510237755e-09
Overall NLP error.......:   5.1194152803687304e-09    5.1194152803687304e-09

Number of objective function evaluations              = 21
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 21
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 47
Number of KKT backsolves                              = 241

Total wall secs in initialization                     =  0.023 s
Total wall secs in linear solver                      =  0.108 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.034 s
Total wall secs                                       =  0.167 s

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