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

Number of nonzeros in constraint Jacobian............:      123
Number of nonzeros in Lagrangian Hessian.............:      208

Total number of variables............................:       25
                     variables with only lower bounds:        0
                variables with lower and upper bounds:       25
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:       28
        inequality constraints with only lower bounds:        9
   inequality constraints with lower and upper bounds:       10
        inequality constraints with only upper bounds:        9

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.2184083e+01 4.20e-02 9.44e+01 9.99e+03  -1.0     -   0.00e+00  0  0 
   1  1.2184083e+01 4.20e-02 3.70e-03 2.38e-03  -1.0     -   6.47e-09  1  1h
   2  1.1947453e+01 4.60e-02 1.35e-03 1.15e-03  -2.5   -4.0  1.00e+00  1  1h
   3  1.0893219e+01 1.68e+00 3.31e-03 8.58e-04  -2.5   -4.5  1.00e+00  1  1h
   4  9.6567429e+00 7.34e+00 1.02e-03 2.56e-04  -2.5   -5.0  8.00e-01  1  1h
   5  9.5356054e+00 7.06e+00 1.26e-02 1.87e-05  -2.5   -5.4  5.93e-02  1  1h
   6  9.2493424e+00 6.48e+00 1.89e-02 1.30e-05  -2.5   -5.9  8.31e-02  2  1h
   7  9.2023414e+00 6.22e+00 3.57e-02 1.88e-05  -2.5   -6.4  4.08e-02  3  1h
   8  9.0511833e+00 3.41e+01 2.32e-02 1.02e-05  -2.5   -6.9  6.51e-01  2  1h
   9  9.0309178e+00 1.74e+01 4.17e-06 1.02e-06  -2.5   -7.3  1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  9.0307464e+00 9.84e-01 1.65e-09 9.51e-07  -2.5   -7.8  1.00e+00  2  1h
  11  9.0307457e+00 2.95e-03 1.84e-10 9.50e-07  -2.5   -8.3  1.00e+00  1  1h
  12  9.0069003e+00 7.61e+00 3.92e-05 1.79e-06  -3.8   -8.8  1.00e+00  2  1h
  13  9.0065826e+00 3.82e+01 3.71e-05 1.89e-06  -3.8   -9.2  5.00e-01  1  2h
  14  9.0064014e+00 8.68e+00 8.88e-08 1.01e-06  -3.8   -9.7  1.00e+00  2  1h
  15  9.0063918e+00 8.55e-02 8.75e-10 9.51e-07  -3.8  -10.2  1.00e+00  2  1h
  16  9.0063919e+00 1.77e-05 1.59e-10 9.50e-07  -3.8  -10.7  1.00e+00  1  1h
  17  9.0049163e+00 1.04e+01 9.41e-05 1.15e-06  -8.6  -11.2  1.00e+00  4  1h
  18  9.0049036e+00 1.38e-01 1.27e-05 1.52e-06  -8.6     -   1.00e+00  2  1h
  19  9.0049018e+00 2.05e-02 2.13e-04 1.51e-08  -8.6     -   8.68e-01  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  9.0049018e+00 7.43e-04 2.18e-05 4.46e-09  -8.6     -   9.64e-01  1  1h
  21  9.0049018e+00 3.45e-09 6.38e-11 2.61e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 21

                                   (scaled)                 (unscaled)
Objective...............:   9.0049017887439575e+00    9.0049017887439575e+00
Dual infeasibility......:   6.3849370235402603e-11    6.3849370235402603e-11
Constraint violation....:   3.4489175959606655e-09    3.4489175959606655e-09
Complementarity.........:   2.6080935777139491e-09    2.6080935777139491e-09
Overall NLP error.......:   3.4489175959606655e-09    3.4489175959606655e-09

Number of objective function evaluations              = 24
Number of objective gradient evaluations              = 22
Number of constraint evaluations                      = 24
Number of constraint Jacobian evaluations             = 22
Number of Lagrangian Hessian evaluations              = 21
Number of KKT factorizations                          = 37
Number of KKT backsolves                              = 35

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.019 s
Total wall secs in NLP function evaluations           =  0.010 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.030 s
Total wall secs                                       =  0.073 s

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