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.............:       14

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...............:        1
        inequality constraints with only lower bounds:        1
   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  1.0000000e+00 1.67e-01 1.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  4.8799959e-03 1.62e-01 9.37e-02 4.70e-03  -1.7     -   1.00e+00  1  1h
   2  3.2935415e-03 1.33e-01 7.24e-01 8.37e-05  -2.5     -   1.75e-01  1  1h
   3  3.2296562e-03 1.33e-01 1.99e+02 2.27e-05  -2.5     -   1.20e-03  1  1h
   4  1.0485914e+01 3.01e-02 1.20e+02 8.57e-05  -2.5     -   2.50e-01  1  3h
   5  1.0139516e+01 7.19e-03 2.30e+01 1.92e-04  -2.5    2.0  1.00e+00  1  1h
   6  8.9541106e+00 1.59e-03 1.02e+01 1.07e-03  -2.5    1.5  1.00e+00  1  1h
   7  6.2527587e+00 1.72e-05 3.12e+00 2.10e-03  -2.5    1.0  1.00e+00  1  1h
   8  1.8849981e+00 1.09e-02 2.00e+01 1.16e-05  -2.5     -   5.00e-01  1  2f
   9  1.1040136e+00 1.11e-02 2.28e+00 1.52e-01  -2.5    0.6  1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  7.2396698e-01 8.60e-03 2.01e+00 5.89e-04  -2.5     -   7.36e-01  1  1h
  11  9.1769055e-01 2.79e-03 5.37e-01 3.93e-03  -2.5    0.1  1.00e+00  1  1h
  12  1.0221237e+00 1.31e-03 1.57e+01 2.40e-05  -2.5     -   6.93e-01  1  1h
  13  1.1671557e+00 4.41e-04 5.37e-01 2.94e-03  -2.5     -   1.00e+00  1  1h
  14  1.2275197e+00 2.19e-04 2.33e+01 8.32e-06  -2.5     -   6.13e-01  1  1h
  15  1.3179622e+00 5.79e-05 1.17e-01 7.38e-04  -2.5     -   1.00e+00  1  1h
  16  1.3561526e+00 7.10e-06 8.99e-02 6.25e-05  -2.5     -   1.00e+00  1  1h
  17  1.3648931e+00 8.69e-07 1.21e-02 2.97e-04  -2.5   -0.4  1.00e+00  1  1h
  18  1.3628052e+00 1.93e-08 7.99e-05 1.69e-05  -3.8     -   1.00e+00  1  1f
  19  1.3626482e+00 8.50e-11 2.52e-07 1.94e-07  -5.7     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  1.3626462e+00 1.32e-14 5.74e-11 2.39e-10  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   1.3626462201734300e+00    1.3626462201734300e+00
Dual infeasibility......:   5.7436609848760777e-11    5.7436609848760777e-11
Constraint violation....:   1.3248948900029084e-14    1.3248948900029084e-14
Complementarity.........:   2.3923122497275535e-10    2.3923122497275535e-10
Overall NLP error.......:   2.3923122497275535e-10    2.3923122497275535e-10

Number of objective function evaluations              = 27
Number of objective gradient evaluations              = 21
Number of constraint evaluations                      = 27
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 20
Number of KKT factorizations                          = 29
Number of KKT backsolves                              = 23

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.012 s
Total wall secs in NLP function evaluations           =  0.060 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.024 s
Total wall secs                                       =  0.112 s

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