This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        6
Number of nonzeros in Lagrangian Hessian.............:        8

Total number of variables............................:        5
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        2
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  3.0000000e+00 1.00e+00 2.00e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  1.2500000e+00 2.50e-01 0.00e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   2  1.0625000e+00 6.25e-02 0.00e+00 0.00e+00  -1.7     -   1.00e+00  1  1h
   3  1.0156250e+00 1.56e-02 0.00e+00 0.00e+00  -2.5     -   1.00e+00  1  1h
   4  1.0039062e+00 3.91e-03 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   5  1.0009766e+00 9.77e-04 0.00e+00 0.00e+00  -3.8     -   1.00e+00  1  1h
   6  1.0002441e+00 2.44e-04 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   7  1.0000610e+00 6.10e-05 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   8  1.0000153e+00 1.53e-05 0.00e+00 0.00e+00  -5.7     -   1.00e+00  1  1h
   9  1.0000038e+00 3.81e-06 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.0000010e+00 9.54e-07 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  11  1.0000002e+00 2.38e-07 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  12  1.0000001e+00 5.96e-08 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  13  1.0000000e+00 1.49e-08 0.00e+00 0.00e+00  -8.6     -   1.00e+00  1  1h
  14  1.0000000e+00 3.73e-09 0.00e+00 0.00e+00  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   1.0000000037252903e+00    1.0000000037252903e+00
Dual infeasibility......:   0.0000000000000000e+00    0.0000000000000000e+00
Constraint violation....:   3.7252902984619141e-09    3.7252902984619141e-09
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   3.7252902984619141e-09    3.7252902984619141e-09

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 15
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 15
Number of Lagrangian Hessian evaluations              = 14
Number of KKT factorizations                          = 15
Number of KKT backsolves                              = 15

Total wall secs in initialization                     =  0.006 s
Total wall secs in linear solver                      =  0.024 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.018 s
Total wall secs                                       =  0.053 s

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