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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:        8

Total number of variables............................:        8
                     variables with only lower bounds:        5
                variables with lower and upper bounds:        3
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
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  7.1128624e+00 0.00e+00 2.52e+00 3.80e+00  -1.0     -   0.00e+00  0  0 
   1  7.0344669e+00 0.00e+00 4.75e-01 8.97e-01  -1.0     -   1.00e+00  1  1f
   2  6.4128131e+00 0.00e+00 9.32e-03 1.01e-01  -1.7     -   1.00e+00  1  1f
   3  6.2979717e+00 0.00e+00 2.83e-08 1.69e-02  -2.5     -   1.00e+00  1  1f
   4  6.2610831e+00 0.00e+00 1.50e-09 4.31e-03  -3.8     -   1.00e+00  1  1f
   5  6.2531866e+00 0.00e+00 1.50e-09 1.15e-03  -3.8     -   1.00e+00  1  1f
   6  6.2507275e+00 0.00e+00 1.84e-11 2.90e-04  -5.7     -   1.00e+00  1  1f
   7  6.2501869e+00 0.00e+00 1.84e-11 7.33e-05  -5.7     -   1.00e+00  1  1f
   8  6.2500517e+00 0.00e+00 1.84e-11 1.93e-05  -5.7     -   1.00e+00  1  1f
   9  6.2500119e+00 0.00e+00 2.51e-14 4.82e-06  -8.6     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  6.2500029e+00 0.00e+00 2.51e-14 1.21e-06  -8.6     -   1.00e+00  1  1f
  11  6.2500006e+00 0.00e+00 2.51e-14 3.03e-07  -8.6     -   1.00e+00  1  1f
  12  6.2500001e+00 0.00e+00 2.51e-14 7.69e-08  -8.6     -   1.00e+00  1  1f
  13  6.2499999e+00 0.00e+00 2.51e-14 2.05e-08  -8.6     -   1.00e+00  1  1f
  14  6.2499999e+00 0.00e+00 9.09e-15 5.59e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   6.2499999032922346e+00    6.2499999032922346e+00
Dual infeasibility......:   9.0908861384922379e-15    9.0908861384922379e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   5.5909308249106092e-09    5.5909308249106092e-09
Overall NLP error.......:   5.5909308249106092e-09    5.5909308249106092e-09

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

Total wall secs in initialization                     =  0.013 s
Total wall secs in linear solver                      =  0.006 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.038 s

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