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

Number of nonzeros in constraint Jacobian............:   100001
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...............:        1
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        1
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  2.0000500e+05 1.00e+05 2.50e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1r 2.0000494e+05 0.00e+00 9.99e+02 1.00e+05   5.0     -   2.00e-07  1  9R
   2r 2.0000500e+05 1.04e-09 1.05e+00 7.42e+01   3.6     -   7.50e-12  1  2f
   3  9.6142267e+02 9.51e+02 2.65e-01 7.07e+00  -1.0     -   1.76e-02  2  1f
   4  9.9868346e-01 5.32e-06 2.20e-01 4.93e+00  -1.0     -   1.00e+00  1  1h
   5  9.0039207e-01 1.59e-07 7.71e-03 4.62e-01  -1.0     -   1.00e+00  1  1f
   6  5.9790913e-01 3.74e-09 2.00e-07 2.36e-01  -1.7     -   1.00e+00  1  1f
   7  5.2855246e-01 1.03e-09 2.00e-07 6.86e-02  -1.7     -   1.00e+00  1  1f
   8  5.0896694e-01 7.86e-10 2.83e-08 1.84e-02  -2.5     -   1.00e+00  1  1f
   9  5.0233344e-01 9.31e-10 1.55e-04 4.69e-03  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.0061522e-01 1.89e-10 1.50e-09 1.25e-03  -3.8     -   1.00e+00  1  1f
  11  5.0015704e-01 5.96e-10 1.59e-04 3.17e-04  -5.7     -   1.00e+00  1  1f
  12  5.0004003e-01 4.94e-10 1.84e-11 8.02e-05  -5.7     -   1.00e+00  1  1f
  13  5.0001047e-01 3.66e-10 1.84e-11 2.10e-05  -5.7     -   1.00e+00  1  1f
  14  5.0000310e-01 5.80e-10 1.84e-11 6.21e-06  -5.7     -   1.00e+00  1  1h
  15  5.0000078e-01 2.08e-10 1.18e-06 1.55e-06  -8.6     -   1.00e+00  1  1h
  16  5.0000018e-01 4.32e-10 2.54e-14 3.90e-07  -8.6     -   1.00e+00  1  1h
  17  5.0000004e-01 1.75e-11 2.55e-14 9.87e-08  -8.6     -   1.00e+00  1  1h
  18  5.0000001e-01 2.39e-11 2.55e-14 2.60e-08  -8.6     -   1.00e+00  1  1h
  19  4.9999999e-01 1.02e-11 9.44e-15 6.95e-09  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   4.9999999443281240e-01    4.9999999443281240e-01
Dual infeasibility......:   9.4368957093138306e-15    9.4368957093138306e-15
Constraint violation....:   1.0161462845281881e-11    1.0161462845281881e-11
Complementarity.........:   6.9511953946865002e-09    6.9511953946865002e-09
Overall NLP error.......:   6.9511953946865002e-09    6.9511953946865002e-09

Number of objective function evaluations              = 28
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 29
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 20
Number of KKT backsolves                              = 21

Total wall secs in initialization                     =  0.188 s
Total wall secs in linear solver                      =  0.086 s
Total wall secs in NLP function evaluations           =  0.009 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.078 s
Total wall secs                                       =  0.360 s

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