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.............:     1659

Total number of variables............................:        9
                     variables with only lower bounds:        1
                variables with lower and upper bounds:        8
                     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  4.1877858e+04 0.00e+00 1.01e+02 7.00e+00  -1.0     -   0.00e+00  1  0 
   1  2.5821052e+04 0.00e+00 2.68e+01 2.50e+00  -1.0     -   1.00e+00  1  1f
   2  1.9992128e+04 0.00e+00 9.82e+00 2.66e-01  -1.0     -   1.00e+00  1  1f
   3  1.8421643e+04 0.00e+00 3.28e+00 1.19e-01  -1.0     -   1.00e+00  1  1f
   4  1.8255633e+04 0.00e+00 4.90e-01 1.00e-01  -1.0     -   1.00e+00  1  1f
   5  1.8238504e+04 0.00e+00 5.13e-03 2.32e-02  -1.7     -   1.00e+00  1  1f
   6  1.8236193e+04 0.00e+00 7.01e-04 8.17e-04  -3.8     -   1.00e+00  1  1f
   7  1.8236182e+04 0.00e+00 7.26e-06 3.45e-06  -5.7     -   1.00e+00  1  1f
   8  1.8236182e+04 0.00e+00 9.60e-11 2.53e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   4.1092463161013644e+00    1.8236181748352850e+04
Dual infeasibility......:   9.6044309414816432e-11    4.2622937338186683e-07
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   5.7002899109575732e-13    2.5296980233871234e-09
Overall NLP error.......:   2.5296980233871234e-09    2.5296980233871234e-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                     =  0.010 s
Total wall secs in linear solver                      =  0.019 s
Total wall secs in NLP function evaluations           =  0.016 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.024 s
Total wall secs                                       =  0.070 s

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