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.............:        4

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  2.4200000e+01 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  4.7318843e+00 0.00e+00 2.15e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  4.0873987e+00 0.00e+00 1.20e+01 0.00e+00  -1.0     -   1.25e-01  1  4f
   3  3.2286726e+00 0.00e+00 4.94e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  3.2138981e+00 0.00e+00 1.02e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  1.9425854e+00 0.00e+00 1.62e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   6  1.6001937e+00 0.00e+00 3.44e+00 0.00e+00  -1.0     -   2.50e-01  1  3f
   7  1.1783896e+00 0.00e+00 1.92e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   8  9.2241158e-01 0.00e+00 4.00e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   9  5.9748862e-01 0.00e+00 7.36e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  4.5262510e-01 0.00e+00 2.42e+00 0.00e+00  -1.7     -   5.00e-01  1  2f
  11  2.8076244e-01 0.00e+00 9.25e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  12  2.1139340e-01 0.00e+00 3.34e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
  13  8.9019501e-02 0.00e+00 2.25e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  14  5.1535405e-02 0.00e+00 1.49e+00 0.00e+00  -1.7     -   5.00e-01  1  2f
  15  1.9992778e-02 0.00e+00 4.64e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  16  7.1692436e-03 0.00e+00 1.03e+00 0.00e+00  -1.7     -   1.00e+00  1  1f
  17  1.0696137e-03 0.00e+00 9.09e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
  18  7.7768464e-05 0.00e+00 1.44e-01 0.00e+00  -2.5     -   1.00e+00  1  1f
  19  2.8246695e-07 0.00e+00 1.50e-03 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
  20  8.5170750e-12 0.00e+00 4.90e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  21  3.7439756e-21 0.00e+00 1.73e-10 0.00e+00  -5.7     -   1.00e+00  1  1f

Number of Iterations....: 21

                                   (scaled)                 (unscaled)
Objective...............:   1.7365378678754519e-21    3.7439756431394737e-21
Dual infeasibility......:   1.7312156654298279e-10    3.7325009746667082e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   8.0297572608062527e-11    1.7312156654298279e-10

Number of objective function evaluations              = 45
Number of objective gradient evaluations              = 22
Number of constraint evaluations                      = 45
Number of constraint Jacobian evaluations             = 22
Number of Lagrangian Hessian evaluations              = 21
Number of KKT factorizations                          = 21
Number of KKT backsolves                              = 37

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.011 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.010 s
Total wall secs                                       =  0.036 s

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