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.............:       11

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  2.1173171e+03 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  4.0507045e+02 0.00e+00 2.94e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  7.5264852e+01 0.00e+00 8.56e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.3747120e+01 0.00e+00 2.43e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  3.1202898e+00 0.00e+00 6.53e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  1.5998308e+00 0.00e+00 1.51e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  1.2938202e+00 0.00e+00 1.57e-01 0.00e+00  -2.5     -   1.00e+00  1  1f
   7  8.5938769e-01 0.00e+00 1.68e-01 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  4.3412533e-01 0.00e+00 7.48e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   9  2.2255408e-01 0.00e+00 1.21e-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  8.9273066e-02 0.00e+00 3.48e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  11  3.8644107e-02 0.00e+00 3.74e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  12  1.4457772e-02 0.00e+00 1.11e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  13  5.6769070e-03 0.00e+00 1.30e-02 0.00e+00  -3.8     -   1.00e+00  1  1f
  14  1.9938209e-03 0.00e+00 3.44e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
  15  6.9682269e-04 0.00e+00 4.94e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
  16  2.1075359e-04 0.00e+00 1.46e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
  17  5.5509875e-05 0.00e+00 1.47e-03 0.00e+00  -5.7     -   1.00e+00  1  1f
  18  1.0320477e-05 0.00e+00 4.23e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  19  9.9242964e-07 0.00e+00 2.11e-04 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  2.1561347e-08 0.00e+00 2.59e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  21  1.6089201e-11 0.00e+00 8.74e-07 0.00e+00  -5.7     -   1.00e+00  1  1f
  22  9.8465441e-18 0.00e+00 6.07e-10 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 22

                                   (scaled)                 (unscaled)
Objective...............:   3.9649979489894903e-19    9.8465440703386971e-18
Dual infeasibility......:   6.0678288767006413e-10    1.5068644477088224e-08
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   2.4433881450255550e-11    6.0678288767006413e-10

Number of objective function evaluations              = 23
Number of objective gradient evaluations              = 23
Number of constraint evaluations                      = 23
Number of constraint Jacobian evaluations             = 23
Number of Lagrangian Hessian evaluations              = 22
Number of KKT factorizations                          = 22
Number of KKT backsolves                              = 22

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.007 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.031 s

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