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

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

Total number of variables............................:        4
                     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...............:        4
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        4
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 4.00e+01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  0.0000000e+00 4.00e+01 2.95e-30 1.00e-06  -1.0     -   1.00e-07  2  2h
   2  0.0000000e+00 1.00e+01 1.33e-18 1.00e-06  -1.0     -   1.00e+00  2  1h
   3  0.0000000e+00 2.50e+00 2.91e-19 1.00e-06  -1.0     -   1.00e+00  2  1h
   4  0.0000000e+00 6.25e-01 5.81e-19 1.00e-06  -1.0     -   1.00e+00  2  1h
   5  0.0000000e+00 1.56e-01 2.41e-18 1.00e-06  -1.7     -   1.00e+00  2  1h
   6  0.0000000e+00 3.91e-02 7.48e-18 1.00e-06  -2.5     -   1.00e+00  2  1h
   7  0.0000000e+00 9.77e-03 6.05e-18 1.00e-06  -2.5     -   1.00e+00  2  1h
   8  0.0000000e+00 2.44e-03 2.95e-16 1.00e-06  -3.8     -   1.00e+00  2  1h
   9  0.0000000e+00 6.10e-04 1.85e-16 1.00e-06  -3.8     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  0.0000000e+00 1.53e-04 1.49e-12 1.00e-06  -5.7     -   1.00e+00  2  1h
  11  0.0000000e+00 3.81e-05 4.70e-15 1.00e-06  -5.7     -   1.00e+00  2  1h
  12  0.0000000e+00 9.54e-06 2.51e-15 1.00e-06  -5.7     -   1.00e+00  2  1h
  13  0.0000000e+00 2.38e-06 1.55e-15 2.51e-09  -8.6     -   1.00e+00  2  1h
  14  0.0000000e+00 5.96e-07 5.02e-18 2.51e-09  -8.6     -   1.00e+00  2  1h
  15  0.0000000e+00 1.49e-07 2.50e-18 2.51e-09  -8.6     -   1.00e+00  2  1h
  16  0.0000000e+00 3.73e-08 1.14e-17 2.51e-09  -8.6     -   1.00e+00  2  1h
  17  0.0000000e+00 9.31e-09 2.36e-17 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 17

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   2.3557560619716089e-17    2.3557560619716089e-17
Constraint violation....:   9.3132248124552316e-09    9.3132248124552316e-09
Complementarity.........:   2.5059035596800618e-09    2.5059035596800618e-09
Overall NLP error.......:   9.3132248124552316e-09    9.3132248124552316e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 18
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 18
Number of Lagrangian Hessian evaluations              = 17
Number of KKT factorizations                          = 17
Number of KKT backsolves                              = 34

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.015 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.024 s
Total wall secs                                       =  0.055 s

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