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.............:      126

Total number of variables............................:        3
                     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  4.5206496e+01 0.00e+00 4.66e+01 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.4114166e+01 0.00e+00 2.66e+01 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  8.2611622e+00 0.00e+00 4.35e+01 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  3.3583928e+00 0.00e+00 1.65e+01 0.00e+00  -1.0    1.9  1.00e+00  1  1f
   4  1.9365297e+00 0.00e+00 4.29e+00 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   5  9.9670657e-01 0.00e+00 2.76e+00 0.00e+00  -1.0    1.0  1.00e+00  1  1f
   6  2.3086165e-01 0.00e+00 2.11e+00 0.00e+00  -1.0    0.5  1.00e+00  1  1f
   7  5.1199300e-02 0.00e+00 5.76e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   8  2.3846913e-02 0.00e+00 1.16e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
   9  1.0313540e-02 0.00e+00 2.76e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  4.5665637e-03 0.00e+00 3.55e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  11  1.9116361e-03 0.00e+00 1.24e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  12  7.7398338e-04 0.00e+00 1.22e-01 0.00e+00  -2.5     -   1.00e+00  1  1f
  13  2.8567828e-04 0.00e+00 5.05e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  14  9.3887400e-05 0.00e+00 4.05e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  15  2.4721385e-05 0.00e+00 1.66e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  16  4.6546661e-06 0.00e+00 9.12e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
  17  8.0985042e-07 0.00e+00 2.27e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
  18  5.1514202e-07 0.00e+00 2.76e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  19  5.1203815e-07 0.00e+00 3.16e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  5.1203769e-07 0.00e+00 4.99e-10 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   5.1203769366245364e-07    5.1203769366245364e-07
Dual infeasibility......:   4.9905151766702766e-10    4.9905151766702766e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.9905151766702766e-10    4.9905151766702766e-10

Number of objective function evaluations              = 21
Number of objective gradient evaluations              = 21
Number of constraint evaluations                      = 21
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 20
Number of KKT factorizations                          = 30
Number of KKT backsolves                              = 20

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.008 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.035 s

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