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.............:   600003

Total number of variables............................:   100001
                     variables with only lower bounds:   100001
                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  3.0000000e+00 0.00e+00 1.50e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1 -9.5159298e+04 0.00e+00 1.00e-06 5.51e-01  -1.0     -   1.00e+00  1  1f
   2 -9.9834970e+04 0.00e+00 2.00e-07 1.30e-01  -1.7     -   1.00e+00  1  1f
   3 -9.9998684e+04 0.00e+00 2.83e-08 3.32e-02  -2.5     -   1.00e+00  1  1f
   4 -9.9999295e+04 0.00e+00 2.83e-08 9.74e-03  -2.5     -   1.00e+00  1  1f
   5 -9.9999498e+04 0.00e+00 1.50e-09 2.51e-03  -3.8     -   1.00e+00  1  1f
   6 -9.9999499e+04 0.00e+00 1.50e-09 7.04e-04  -3.8     -   1.00e+00  1  1f
   7 -9.9999500e+04 0.00e+00 6.03e-05 1.78e-04  -5.7     -   1.00e+00  1  1f
   8 -9.9999500e+04 0.00e+00 1.84e-11 4.55e-05  -5.7     -   1.00e+00  1  1f
   9 -9.9999500e+04 0.00e+00 1.84e-11 1.23e-05  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -9.9999500e+04 0.00e+00 1.39e-06 3.08e-06  -8.6     -   1.00e+00  1  1f
  11 -9.9999500e+04 0.00e+00 2.56e-14 7.72e-07  -8.6     -   1.00e+00  1  1f
  12 -9.9999500e+04 0.00e+00 2.57e-14 1.94e-07  -8.6     -   1.00e+00  1  1f
  13 -9.9999500e+04 0.00e+00 2.56e-14 4.98e-08  -8.6     -   1.00e+00  1  1f
  14 -9.9999500e+04 0.00e+00 2.56e-14 1.37e-08  -8.6     -   1.00e+00  1  1f
  15 -9.9999500e+04 0.00e+00 9.68e-15 3.90e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:  -9.9999499999998050e+04   -9.9999499999998050e+04
Dual infeasibility......:   9.6795975653661153e-15    9.6795975653661153e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   3.9030092807467797e-09    3.9030092807467797e-09
Overall NLP error.......:   3.9030092807467797e-09    3.9030092807467797e-09

Number of objective function evaluations              = 16
Number of objective gradient evaluations              = 16
Number of constraint evaluations                      = 16
Number of constraint Jacobian evaluations             = 16
Number of Lagrangian Hessian evaluations              = 15
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 15

Total wall secs in initialization                     =  0.142 s
Total wall secs in linear solver                      =  0.044 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.022 s
Total wall secs                                       =  0.212 s

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