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

Number of nonzeros in constraint Jacobian............:       50
Number of nonzeros in Lagrangian Hessian.............:      100

Total number of variables............................:        9
                     variables with only lower bounds:        2
                variables with lower and upper bounds:        3
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        6
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        6
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  4.8533335e+03 8.00e-01 9.90e+01 8.00e-01  -1.0     -   0.00e+00  0  0 
   1  4.8533334e+03 8.00e-01 2.30e-03 6.55e-06  -1.0     -   1.00e-07  1  2h
   2  4.6823953e+03 1.55e-01 3.37e-03 7.06e-06  -1.7     -   1.00e+00  3  1h
   3  4.6738830e+03 1.48e-01 3.51e-03 6.99e-06  -2.5     -   3.53e-02  3  1h
   4  4.8755644e+03 6.04e-02 6.18e-03 1.73e-06  -2.5     -   5.90e-01  2  1h
   5  4.9414202e+03 3.57e-02 6.42e-03 3.03e-05  -2.5     -   4.09e-01  2  1h
   6  4.9432381e+03 3.50e-02 6.75e-03 3.10e-05  -2.5     -   1.75e-02  3  1h
   7  5.0545547e+03 9.39e-04 2.10e-04 6.75e-05  -2.5     -   1.00e+00  3  1h
   8  5.0543661e+03 4.78e-04 8.89e-02 4.57e-04  -5.7     -   4.95e-01  2  1h
   9  5.0549793e+03 1.56e-05 9.55e-02 1.76e-05  -5.7     -   9.67e-01  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.0550119e+03 3.22e-10 2.38e-06 1.64e-06  -5.7     -   1.00e+00  1  1h
  11  5.0550117e+03 1.69e-13 1.08e-05 5.17e-07  -8.6     -   1.00e+00  1  1h
  12  5.0550117e+03 7.22e-16 2.58e-06 6.82e-08  -8.6     -   1.00e+00  1  1f
  13  5.0550117e+03 3.05e-16 5.51e-14 2.53e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:   1.0274413940151818e+02    5.0550116585546948e+03
Dual infeasibility......:   5.5112164831783161e-14    2.7115185097237315e-12
Constraint violation....:   3.0531128098270532e-16    3.0531128098270532e-16
Complementarity.........:   5.1455578586100771e-11    2.5316144664361581e-09
Overall NLP error.......:   2.5316144664361581e-09    2.5316144664361581e-09

Number of objective function evaluations              = 15
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 15
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 13
Number of KKT backsolves                              = 25

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.015 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.025 s
Total wall secs                                       =  0.060 s

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