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.............:       18

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...............:        3
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        3
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  2.0738077e+01 0.00e+00 3.34e+01 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  1.1639660e+01 4.08e-02 2.93e-04 1.99e-06  -1.0     -   4.69e-01  1  1f
   2  4.3560932e+00 1.67e-01 2.86e-03 1.96e-06  -2.5     -   1.00e+00 10  1h
   3  2.3898191e+00 1.30e-01 1.58e-03 1.00e-06  -2.5     -   1.00e+00  5  1h
   4  2.2549292e+00 6.44e-01 2.32e-03 1.00e-06  -2.5     -   5.00e-01  4  2h
   5  5.1828740e-01 6.86e-02 1.90e-03 1.00e-06  -2.5     -   1.00e+00  4  1h
   6  1.5842905e-01 4.07e-02 5.04e-04 1.00e-06  -2.5     -   1.00e+00  4  1h
   7  2.0132662e-02 6.88e-02 1.38e-04 1.00e-06  -2.5     -   1.00e+00  4  1h
   8  3.5381205e-03 5.56e-03 2.89e-05 1.00e-06  -2.5     -   1.00e+00  5  1h
   9  5.6523410e-04 3.71e-03 1.11e-04 1.00e-06  -3.8     -   1.00e+00  3  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.3228011e-05 1.28e-03 3.84e-05 1.00e-06  -3.8     -   1.00e+00  4  1h
  11  1.1528504e-05 4.04e-04 9.91e-04 1.00e-06  -5.7     -   1.00e+00  2  1h
  12  1.5290772e-06 1.17e-04 2.86e-04 1.00e-06  -5.7     -   1.00e+00  3  1h
  13  1.9739250e-07 3.16e-05 7.74e-05 1.00e-06  -5.7     -   1.00e+00  3  1h
  14  2.5093317e-08 8.27e-06 2.02e-05 1.00e-06  -5.7     -   1.00e+00  3  1h
  15  3.1638323e-09 2.12e-06 5.17e-06 1.00e-06  -5.7     -   1.00e+00  3  1h
  16  3.9720908e-10 5.35e-07 1.61e-06 2.51e-09  -8.6     -   1.00e+00  2  1h
  17  4.9760246e-11 1.35e-07 4.04e-07 2.51e-09  -8.6     -   1.00e+00  2  1h
  18  6.2268821e-12 3.38e-08 1.01e-07 2.51e-09  -8.6     -   1.00e+00  2  1h
  19  7.7878948e-13 8.45e-09 2.54e-08 2.51e-09  -8.6     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  9.7375543e-14 2.12e-09 6.35e-09 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   9.7375542884519585e-14    9.7375542884519585e-14
Dual infeasibility......:   6.3462163429613950e-09    6.3462163429613950e-09
Constraint violation....:   2.1153452323222945e-09    2.1153452323222945e-09
Complementarity.........:   2.5059035596800622e-09    2.5059035596800622e-09
Overall NLP error.......:   6.3462163429613950e-09    6.3462163429613950e-09

Number of objective function evaluations              = 24
Number of objective gradient evaluations              = 21
Number of constraint evaluations                      = 24
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 20
Number of KKT factorizations                          = 20
Number of KKT backsolves                              = 76

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.041 s
Total wall secs in NLP function evaluations           =  0.006 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.037 s
Total wall secs                                       =  0.099 s

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