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

Number of nonzeros in constraint Jacobian............:        7
Number of nonzeros in Lagrangian Hessian.............:       16

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.................:        0
Total number of inequality constraints...............:        2
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        2
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  4.0000000e+00 4.42e+01 6.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  3.9999994e+00 4.42e+01 7.89e-05 1.74e-06  -1.0     -   1.56e-07  2  1h
   2  1.2879888e+00 1.32e+01 2.68e-05 8.77e-07  -1.0   -4.0  1.00e+00  2  1h
   3  5.4233800e-01 3.14e+00 9.43e-06 8.77e-07  -1.0   -4.5  1.00e+00  2  1h
   4  3.5197668e-01 3.98e-01 3.69e-06 8.77e-07  -1.0   -5.0  1.00e+00  2  1h
   5  3.0096777e-01 8.44e-03 9.34e-06 8.77e-07  -1.7   -5.4  1.00e+00  1  1h
   6  2.4811212e-01 1.90e-02 6.45e-04 8.77e-07  -3.8     -   1.00e+00  7  1h
   7  3.0781226e-01 1.06e-02 6.25e-03 8.77e-07  -3.8     -   1.00e+00  5  1H
   8  2.5395094e-01 5.74e-03 1.92e-03 8.77e-07  -3.8     -   1.00e+00  3  1h
   9  2.4282856e-01 2.50e-03 5.12e-04 8.77e-07  -3.8     -   1.00e+00  4  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.4150778e-01 6.17e-04 8.58e-05 8.77e-07  -3.8     -   1.00e+00  5  1h
  11  2.4150215e-01 3.54e-05 3.29e-04 8.77e-07  -5.7     -   1.00e+00  3  1h
  12  2.4150512e-01 9.34e-08 8.33e-07 8.77e-07  -5.7     -   1.00e+00  3  1h
  13  2.4150513e-01 6.03e-13 2.96e-11 2.93e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   2.4150512878967403e-01    2.4150512878967403e-01
Dual infeasibility......:   2.9635127685168072e-11    2.9635127685168072e-11
Constraint violation....:   6.0334462419766629e-13    6.0334462419766629e-13
Complementarity.........:   2.9324403787483528e-09    2.9324403787483528e-09
Overall NLP error.......:   2.9324403787483528e-09    2.9324403787483528e-09

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 17
Number of KKT backsolves                              = 65

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.029 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.067 s

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