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

Number of nonzeros in constraint Jacobian............:  2931180
Number of nonzeros in Lagrangian Hessian.............:  1344385

Total number of variables............................:   640005
                     variables with only lower bounds:        5
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:   640000
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  1.9752500e+02 2.36e+01 3.44e-03 1.00e-02  -1.0     -   0.00e+00  2  0 
   1  1.1632181e+02 1.70e+00 2.22e+03 1.25e-02  -1.0     -   9.28e-01  4  1h
   2  1.1645874e+02 1.84e-01 2.39e+04 7.27e-03  -1.0     -   8.92e-01  3  1h
   3  4.1310764e+01 1.91e-03 1.62e+05 5.45e-02  -1.0     -   1.00e+00  3  1h
   4  2.0771587e+01 8.45e-05 1.80e+05 4.21e-03  -1.0     -   1.00e+00  3  1h
   5  1.9884624e+01 9.19e-07 3.70e+03 3.91e-03  -1.0     -   1.00e+00  2  1h
   6  1.9872595e+01 4.69e-10 8.24e-02 3.91e-03  -1.0     -   1.00e+00  2  1h
   7  1.9872208e+01 6.12e-09 1.83e+00 3.31e-03  -2.5     -   1.00e+00  3  1h
   8  1.9872167e+01 1.34e-11 3.44e-06 2.83e-03  -2.5     -   1.00e+00  2  1h
   9  1.9872167e+01 1.36e-10 1.40e-03 1.51e-04  -3.8     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.9872167e+01 1.46e-12 4.31e-06 1.85e-06  -5.7     -   1.00e+00  2  1h
  11  1.9872167e+01 2.84e-14 7.53e-10 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:   1.9872166934246501e+01    1.9872166934246501e+01
Dual infeasibility......:   7.5323517562120301e-10    7.5323517562120301e-10
Constraint violation....:   2.8421709430404007e-14    2.8421709430404007e-14
Complementarity.........:   2.5060768468023670e-09    2.5060768468023670e-09
Overall NLP error.......:   2.5060768468023670e-09    2.5060768468023670e-09

Number of objective function evaluations              = 12
Number of objective gradient evaluations              = 12
Number of constraint evaluations                      = 12
Number of constraint Jacobian evaluations             = 12
Number of Lagrangian Hessian evaluations              = 11
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 30

Total wall secs in initialization                     =  0.097 s
Total wall secs in linear solver                      =  7.486 s
Total wall secs in NLP function evaluations           =  0.025 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.936 s
Total wall secs                                       =  8.544 s

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