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  3.9999993e+00 4.42e+01 7.89e-05 1.74e-06  -1.0     -   1.56e-07  2  1h
   2  1.2651343e+00 1.32e+01 2.63e-05 8.77e-07  -1.0   -4.0  1.00e+00  2  1h
   3  5.5436535e-01 3.17e+00 9.08e-06 8.77e-07  -1.0   -4.5  1.00e+00  2  1h
   4  3.7211483e-01 4.04e-01 3.55e-06 8.77e-07  -1.0   -5.0  1.00e+00  2  1h
   5  3.2720184e-01 4.84e-03 8.55e-06 8.77e-07  -1.7     -   1.00e+00 10  1h
   6  2.9533107e-01 1.49e-03 6.59e-04 8.77e-07  -3.8   -5.4  1.00e+00  1  1h
   7  2.7637071e-01 1.19e-02 2.14e-02 8.77e-07  -5.7     -   5.00e-01  3  2h
   8  2.7702930e-01 2.40e-04 5.78e-04 8.77e-07  -5.7     -   1.00e+00  3  1h
   9  2.7704477e-01 2.11e-07 3.38e-06 8.77e-07  -5.7     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.7704479e-01 8.07e-12 1.59e-10 2.78e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 10

                                   (scaled)                 (unscaled)
Objective...............:   2.7704478876717120e-01    2.7704478876717120e-01
Dual infeasibility......:   1.5873146547162875e-10    1.5873146547162875e-10
Constraint violation....:   8.0652569231894783e-12    8.0652569231894783e-12
Complementarity.........:   2.7803309250966039e-09    2.7803309250966039e-09
Overall NLP error.......:   2.7803309250966039e-09    2.7803309250966039e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 11
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 11
Number of Lagrangian Hessian evaluations              = 10
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 45

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.019 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.016 s
Total wall secs                                       =  0.052 s

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