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

Number of nonzeros in constraint Jacobian............:        4
Number of nonzeros in Lagrangian Hessian.............:        7

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        2
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        2
        inequality constraints with only lower bounds:        2
   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  4.0408040e+00 2.10e+01 4.00e+00 4.80e+01  -1.0     -   0.00e+00  0  0 
   1  4.0642686e+00 2.09e+01 4.01e+00 4.79e+01  -1.0     -   1.01e-03  1  1h
   2  4.5477243e+01 1.42e+01 1.04e+02 4.74e+01  -1.0     -   5.00e-01  1  2h
   3  5.3425759e+01 1.37e+00 1.36e+01 3.10e+01  -1.0     -   1.00e+00  1  1h
   4  1.4679549e+01 1.56e+01 5.76e+00 5.68e+00  -1.0     -   5.64e-01  1  1h
   5  5.9081494e+00 1.48e+01 5.46e+00 5.16e+00  -1.0     -   1.00e+00  1  1h
   6  7.5380004e+00 1.87e+00 9.22e-01 5.14e-01  -1.0     -   1.00e+00  1  1h
   7  4.8159328e+00 9.54e+00 5.73e-01 1.81e-01  -1.0     -   1.00e+00  1  1h
   8  4.9927224e+00 7.72e+00 9.68e-02 1.56e-01  -1.0     -   1.00e+00  1  1h
   9  5.1047233e+00 1.17e-01 6.86e-04 1.00e-01  -1.0     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.0004861e+00 8.80e-02 2.59e-03 6.33e-03  -2.5     -   9.90e-01  1  1h
  11  5.0028349e+00 1.03e-06 2.53e-07 2.83e-03  -2.5     -   1.00e+00  1  1h
  12  5.0001477e+00 6.79e-05 1.70e-06 1.53e-04  -3.8     -   1.00e+00  1  1f
  13  5.0000018e+00 2.07e-07 5.31e-09 1.85e-06  -5.7     -   1.00e+00  1  1h
  14  5.0000000e+00 3.21e-11 8.10e-13 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   5.0000000005046070e+00    5.0000000005046070e+00
Dual infeasibility......:   8.0957462955666415e-13    8.0957462955666415e-13
Constraint violation....:   3.2059688237495720e-11    3.2059688237495720e-11
Complementarity.........:   2.5073595709189926e-09    2.5073595709189926e-09
Overall NLP error.......:   2.5073595709189926e-09    2.5073595709189926e-09

Number of objective function evaluations              = 17
Number of objective gradient evaluations              = 15
Number of constraint evaluations                      = 17
Number of constraint Jacobian evaluations             = 15
Number of Lagrangian Hessian evaluations              = 14
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.018 s
Total wall secs in linear solver                      =  0.008 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.022 s
Total wall secs                                       =  0.051 s

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