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.............:      230

Total number of variables............................:        4
                     variables with only lower bounds:        2
                variables with lower and upper bounds:        0
                     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  1.1951112e+04 0.00e+00 1.00e+02 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  8.9223647e+03 0.00e+00 8.57e+01 1.26e-01  -1.0    2.0  1.00e+00  1  1f
   2  4.2777223e+03 0.00e+00 5.73e+01 1.06e-01  -1.0    1.5  1.00e+00  1  1f
   3  1.1565146e+03 0.00e+00 2.32e+01 9.66e-02  -1.0    1.0  1.00e+00  1  1f
   4  7.9316005e+02 0.00e+00 1.50e+01 1.00e-01  -1.0    1.5  1.00e+00  1  1f
   5  7.0571122e+02 0.00e+00 1.25e+01 1.00e-01  -1.0    1.9  1.00e+00  1  1f
   6  6.2733019e+02 0.00e+00 1.10e+01 1.32e-01  -1.0    1.4  2.97e-01  1  2f
   7  5.2735868e+02 0.00e+00 9.41e+00 1.23e-01  -1.0    0.9  5.00e-01  1  2f
   8  4.1013445e+02 0.00e+00 9.21e+00 1.13e-01  -1.0    0.5  5.00e-01  1  2f
   9  7.5229410e+00 0.00e+00 7.72e-01 3.87e-02  -1.0     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  6.8494703e+00 0.00e+00 4.56e-01 1.82e-02  -1.7     -   1.00e+00  1  1f
  11  6.8502194e+00 0.00e+00 7.88e-02 2.01e-02  -1.7     -   1.00e+00  1  1f
  12  6.8355293e+00 0.00e+00 8.21e-03 3.25e-03  -2.5     -   1.00e+00  1  1f
  13  6.8351397e+00 0.00e+00 3.27e-04 1.65e-04  -3.8     -   1.00e+00  1  1f
  14  6.8351386e+00 0.00e+00 1.06e-06 1.89e-06  -5.7     -   1.00e+00  1  1f
  15  6.8351386e+00 0.00e+00 1.84e-10 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:   2.0972970526546980e-01    6.8351385998690715e+00
Dual infeasibility......:   1.8351311351490582e-10    5.9807339364740108e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   7.7082768242091882e-11    2.5121448768041011e-09
Overall NLP error.......:   2.5121448768041011e-09    2.5121448768041011e-09

Number of objective function evaluations              = 31
Number of objective gradient evaluations              = 16
Number of constraint evaluations                      = 31
Number of constraint Jacobian evaluations             = 16
Number of Lagrangian Hessian evaluations              = 15
Number of KKT factorizations                          = 28
Number of KKT backsolves                              = 27

Total wall secs in initialization                     =  0.016 s
Total wall secs in linear solver                      =  0.011 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.048 s

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