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

Number of nonzeros in constraint Jacobian............:  1024008
Number of nonzeros in Lagrangian Hessian.............:  1228800

Total number of variables............................:   256006
                     variables with only lower bounds:        0
                variables with lower and upper bounds:    51201
                     variables with only upper bounds:        0
Total number of equality constraints.................:   204807
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        1
   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  1.0000000e+00 1.07e-03 0.00e+00 1.57e+00  -1.0     -   0.00e+00  1  0 
   1  4.5000000e-01 3.26e-04 3.89e+03 4.39e-01  -1.0     -   1.00e+00  5  1h
   2  5.9385922e-01 1.70e-04 2.79e+03 1.74e-01  -1.0     -   1.00e+00  4  1H
   3  5.5375747e-01 6.01e-04 9.82e+01 1.42e-01  -1.0    0.0  1.00e+00  2  1h
   4  5.5501836e-01 4.50e-07 1.44e+00 1.02e-01  -1.0    1.3  1.00e+00  2  1h
   5  5.5471439e-01 8.25e-05 1.00e+02 1.00e-01  -1.0     -   1.00e+00  3  1f
   6  5.5480596e-01 1.51e-06 3.64e-01 1.04e-01  -1.0    0.9  1.00e+00  2  1h
   7  5.5480557e-01 5.21e-09 4.12e-02 2.02e-02  -1.7    0.4  1.00e+00  2  1f
   8  5.5455334e-01 1.17e-05 4.25e+00 4.72e-03  -2.5     -   1.00e+00  2  1f
   9  5.5409097e-01 1.67e-04 4.22e-01 4.19e-03  -2.5     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.5638417e-01 1.12e-05 1.01e-02 2.92e-03  -2.5     -   1.00e+00  1  1h
  11  5.5638849e-01 2.82e-09 9.64e-04 1.55e-04  -3.8     -   1.00e+00  1  1h
  12  5.5618166e-01 9.55e-08 1.22e-03 3.39e-06  -5.7     -   1.00e+00  2  1h
  13  5.5350379e-01 9.99e-06 1.87e-03 2.02e-06  -5.7     -   1.00e+00  2  1h
  14  5.5463193e-01 7.24e-08 5.44e-06 1.85e-06  -5.7     -   1.00e+00  2  1h
  15  5.5453353e-01 1.58e-06 8.09e-05 2.35e-07  -8.6     -   1.00e+00  2  1h
  16  5.5456747e-01 5.67e-07 6.07e-06 1.87e-08  -8.6     -   1.00e+00  2  1h
  17  5.5457088e-01 4.82e-09 2.06e-09 2.63e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 17

                                   (scaled)                 (unscaled)
Objective...............:   5.5457087744419042e-01    5.5457087744419042e-01
Dual infeasibility......:   2.0598094341295337e-09    2.0598094341295337e-09
Constraint violation....:   4.8184016268947291e-09    4.8184016268947291e-09
Complementarity.........:   2.6263493593654067e-09    2.6263493593654067e-09
Overall NLP error.......:   4.8184016268947291e-09    4.8184016268947291e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 18
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 18
Number of Lagrangian Hessian evaluations              = 17
Number of KKT factorizations                          = 26
Number of KKT backsolves                              = 43

Total wall secs in initialization                     =  0.119 s
Total wall secs in linear solver                      =  3.954 s
Total wall secs in NLP function evaluations           =  0.012 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  3.877 s
Total wall secs                                       =  7.962 s

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