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.............:        8

Total number of variables............................:        5
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        5
                     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  6.0000000e+00 8.00e+00 4.00e+00 1.20e+01  -1.0     -   0.00e+00  0  0 
   1  5.9999979e+00 8.00e+00 2.29e-04 1.89e-04  -1.0     -   1.00e-07  1  2h
   2  4.0930995e+00 6.12e-16 2.64e-06 3.59e-05  -1.0     -   1.00e+00  4  1h
   3  4.0930233e+00 9.86e-17 4.29e-06 6.02e-05  -5.7     -   1.00e+00  2  1f
   4  4.0930233e+00 1.34e-17 6.80e-09 1.87e-06  -5.7     -   1.00e+00  1  1h
   5  4.0930233e+00 5.38e-17 4.13e-10 5.85e-08  -8.6     -   1.00e+00  1  1h
   6  4.0930232e+00 9.24e-17 1.06e-08 1.37e-08  -8.6     -   1.00e+00  1  1f
   7  4.0930232e+00 2.24e-16 3.66e-14 1.30e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   4.0930231556881544e+00    4.0930231556881544e+00
Dual infeasibility......:   3.6637359812630166e-14    3.6637359812630166e-14
Constraint violation....:   2.2414557916082822e-16    2.2414557916082822e-16
Complementarity.........:   1.2977516979767271e-09    1.2977516979767271e-09
Overall NLP error.......:   1.2977516979767271e-09    1.2977516979767271e-09

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 11

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.012 s
Total wall secs                                       =  0.033 s

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