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

Number of nonzeros in constraint Jacobian............:       30
Number of nonzeros in Lagrangian Hessian.............:       29

Total number of variables............................:        8
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        8
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:       10
        inequality constraints with only lower bounds:       10
   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 -7.7500000e+00 4.01e+00 3.50e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1 -7.3771354e+00 2.83e+00 3.17e+00 1.19e+00  -1.0     -   2.95e-01  1  1h
   2 -5.1609019e+00 8.04e-01 1.40e+00 8.70e-01  -1.0     -   7.16e-01  1  1h
   3 -4.1089576e+00 1.31e-01 4.26e+00 5.95e-01  -1.0     -   8.37e-01  1  1h
   4 -3.9317019e+00 8.72e-15 3.96e-13 1.51e-01  -1.0     -   1.00e+00  1  1h
   5 -4.3181909e+00 2.22e-16 4.95e-01 4.08e-02  -2.5     -   1.00e+00  1  1f
   6 -4.4565265e+00 6.66e-16 2.93e-14 1.11e-02  -2.5     -   1.00e+00  1  1f
   7 -4.4807970e+00 4.40e-16 4.28e-03 2.43e-03  -3.8     -   9.07e-01  1  1f
   8 -4.4824188e+00 2.62e-16 1.34e-13 3.49e-04  -3.8     -   1.00e+00  1  1f
   9 -4.4832117e+00 4.01e-16 7.99e-15 5.97e-05  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -4.4832102e+00 2.22e-16 1.05e-13 5.28e-06  -5.7     -   1.00e+00  1  1f
  11 -4.4832194e+00 6.47e-16 1.24e-14 4.05e-08  -8.6     -   1.00e+00  1  1f
  12 -4.4832194e+00 2.62e-16 1.78e-15 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:  -4.4832194072319806e+00   -4.4832194072319806e+00
Dual infeasibility......:   1.7763568394002505e-15    1.7763568394002505e-15
Constraint violation....:   2.6159280153418366e-16    2.6159280153418366e-16
Complementarity.........:   2.5078595591217792e-09    2.5078595591217792e-09
Overall NLP error.......:   2.5078595591217792e-09    2.5078595591217792e-09

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.007 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.021 s
Total wall secs                                       =  0.045 s

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