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.............:        5

Total number of variables............................:        2
                     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  2.9803003e+00 0.00e+00 1.20e+01 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.0584608e+00 0.00e+00 9.07e+00 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  1.0339402e+00 0.00e+00 5.41e+00 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  3.8251725e-01 0.00e+00 2.58e+00 0.00e+00  -1.0    1.0  1.00e+00  1  1f
   4  1.1347365e-01 0.00e+00 1.04e+00 0.00e+00  -1.0    0.6  1.00e+00  1  1f
   5  2.9861902e-02 0.00e+00 3.77e-01 0.00e+00  -1.0    0.1  1.00e+00  1  1f
   6  5.8986474e-03 0.00e+00 1.12e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  1.1651649e-03 0.00e+00 3.31e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  2.3015603e-04 0.00e+00 9.81e-03 0.00e+00  -2.5     -   1.00e+00  1  1f
   9  4.5462920e-05 0.00e+00 2.91e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.9803298e-06 0.00e+00 8.61e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  1.7738923e-06 0.00e+00 2.55e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  3.5039848e-07 0.00e+00 7.56e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  6.9214515e-08 0.00e+00 2.24e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  1.3672003e-08 0.00e+00 6.64e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
  15  2.7006426e-09 0.00e+00 1.97e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  5.3346026e-10 0.00e+00 5.83e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  1.0537487e-10 0.00e+00 1.73e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  2.0814788e-11 0.00e+00 5.12e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  19  4.1115631e-12 0.00e+00 1.52e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  8.1216062e-13 0.00e+00 4.49e-09 0.00e+00  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   8.1216061715428519e-13    8.1216061715428519e-13
Dual infeasibility......:   4.4906926180013625e-09    4.4906926180013625e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.4906926180013625e-09    4.4906926180013625e-09

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                          = 28
Number of KKT backsolves                              = 20

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.007 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.008 s
Total wall secs                                       =  0.029 s

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