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.............:        6

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  3.0203003e+00 0.00e+00 1.20e+01 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  5.9660253e-01 0.00e+00 3.57e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  1.1784741e-01 0.00e+00 1.06e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  2.3278501e-02 0.00e+00 3.13e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  4.5982225e-03 0.00e+00 9.28e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   5  9.0829086e-04 0.00e+00 2.75e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   6  1.7941548e-04 0.00e+00 8.15e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   7  3.5440095e-05 0.00e+00 2.41e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  7.0005125e-06 0.00e+00 7.15e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  1.3828173e-06 0.00e+00 2.12e-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
  10  2.7314909e-07 0.00e+00 6.28e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  11  5.3955376e-08 0.00e+00 1.86e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  1.0657852e-08 0.00e+00 5.51e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  2.1052547e-09 0.00e+00 1.63e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  14  4.1585279e-10 0.00e+00 4.84e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  8.2143761e-11 0.00e+00 1.43e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  1.6225928e-11 0.00e+00 4.25e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  3.2051216e-12 0.00e+00 1.26e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  18  6.3311044e-13 0.00e+00 3.73e-09 0.00e+00  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:   6.3311043807668157e-13    6.3311043807668157e-13
Dual infeasibility......:   3.7299116186906299e-09    3.7299116186906299e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   3.7299116186906299e-09    3.7299116186906299e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 19
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 19
Number of Lagrangian Hessian evaluations              = 18
Number of KKT factorizations                          = 18
Number of KKT backsolves                              = 18

Total wall secs in initialization                     =  0.013 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.)  =  0.009 s
Total wall secs                                       =  0.031 s

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