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.............:       78

Total number of variables............................:       12
                     variables with only lower bounds:        0
                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+01 0.00e+00 6.96e+01 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.5263709e+00 0.00e+00 1.31e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  2.4363730e-01 0.00e+00 1.62e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.3515790e-01 0.00e+00 3.70e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  5.2398451e-02 0.00e+00 7.65e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  2.9810002e-02 0.00e+00 2.45e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  8.5789223e-03 0.00e+00 2.49e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  4.3500341e-03 0.00e+00 1.15e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   8  5.3838000e-04 0.00e+00 5.45e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   9  7.7357147e-05 0.00e+00 1.68e-01 0.00e+00  -2.5     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.1148568e-07 0.00e+00 3.09e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
  11  8.3622983e-10 0.00e+00 3.61e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  12  4.7223815e-10 0.00e+00 3.30e-08 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  4.7223811e-10 0.00e+00 4.79e-14 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   4.7223811070556859e-10    4.7223811070556859e-10
Dual infeasibility......:   4.7949636605890667e-14    4.7949636605890667e-14
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.7949636605890667e-14    4.7949636605890667e-14

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 13
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.007 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.005 s
Total wall secs                                       =  0.029 s

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