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.................:        1
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  2.0000500e+05 1.00e+05 5.00e-01 2.00e+00  -1.0     -   0.00e+00  1  0 
   1  5.5278562e-01 2.53e-07 1.00e-06 5.51e-01  -1.0     -   1.00e+00  1  1h
   2  5.2921156e-01 4.07e-10 3.56e-03 7.17e-02  -1.7     -   1.00e+00  2  1f
   3  5.0885256e-01 1.31e-10 2.83e-08 1.89e-02  -2.5     -   1.00e+00  2  1f
   4  5.0236827e-01 1.46e-11 2.18e-04 4.81e-03  -3.8     -   1.00e+00  1  1f
   5  5.0063023e-01 6.84e-10 1.50e-09 1.28e-03  -3.8     -   1.00e+00  1  1f
   6  5.0016087e-01 6.84e-10 1.70e-04 3.25e-04  -5.7     -   1.00e+00  2  1f
   7  5.0004103e-01 0.00e+00 1.84e-11 8.21e-05  -5.7     -   1.00e+00  1  1f
   8  5.0001072e-01 2.62e-10 1.84e-11 2.15e-05  -5.7     -   1.00e+00  1  1f
   9  5.0000316e-01 2.91e-11 1.84e-11 6.33e-06  -5.7     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.0000079e-01 8.15e-10 3.69e-07 1.58e-06  -8.6     -   1.00e+00  1  1h
  11  5.0000020e-01 4.80e-10 2.55e-14 3.97e-07  -8.6     -   1.00e+00  1  1h
  12  5.0000005e-01 2.91e-11 2.54e-14 1.01e-07  -8.6     -   1.00e+00  1  1h
  13  5.0000001e-01 7.28e-11 2.54e-14 2.64e-08  -8.6     -   1.00e+00  1  1h
  14  5.0000000e-01 0.00e+00 9.55e-15 7.07e-09  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   5.0000000355137786e-01    5.0000000355137786e-01
Dual infeasibility......:   9.5479180117763462e-15    9.5479180117763462e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   7.0662747668183314e-09    7.0662747668183314e-09
Overall NLP error.......:   7.0662747668183314e-09    7.0662747668183314e-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                          = 15
Number of KKT backsolves                              = 18

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.392 s
Total wall secs in NLP function evaluations           =  0.005 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.061 s
Total wall secs                                       =  0.476 s

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