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

Number of nonzeros in constraint Jacobian............:       28
Number of nonzeros in Lagrangian Hessian.............:       19

Total number of variables............................:       19
                     variables with only lower bounds:       19
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        8
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   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  7.3625900e+03 4.00e+00 6.85e+01 1.00e+00  -1.0     -   0.00e+00  1  0 
   1  4.4254319e+03 2.53e+00 5.03e+01 2.37e+00  -1.0     -   3.68e-01  1  1h
   2  8.5125620e+01 3.55e-15 5.22e+00 2.95e+00  -1.0     -   1.00e+00  1  1h
   3  1.1202467e+01 1.78e-15 4.96e-01 1.36e+00  -1.0     -   1.00e+00  1  1f
   4  1.1179167e+01 3.55e-15 1.00e-06 1.08e-01  -1.0     -   1.00e+00  1  1f
   5  1.1150665e+01 3.55e-15 2.83e-08 1.54e-02  -2.5     -   1.00e+00  1  1f
   6  1.1149117e+01 3.55e-15 1.50e-09 1.05e-03  -3.8     -   1.00e+00  1  1f
   7  1.1149109e+01 7.11e-15 1.85e-11 7.29e-06  -5.7     -   1.00e+00  1  1f
   8  1.1149109e+01 3.55e-15 2.60e-14 2.77e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   3.7163697138281657e+00    1.1149109141484498e+01
Dual infeasibility......:   2.5979218776228663e-14    7.7937656328685989e-14
Constraint violation....:   3.5527136788005009e-15    3.5527136788005009e-15
Complementarity.........:   9.2402747410371112e-10    2.7720824223111334e-09
Overall NLP error.......:   2.7720824223111334e-09    2.7720824223111334e-09

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

Total wall secs in initialization                     =  0.004 s
Total wall secs in linear solver                      =  0.016 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.015 s
Total wall secs                                       =  0.037 s

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