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.............:    29996

Total number of variables............................:     5000
                     variables with only lower bounds:     5000
                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  9.9950000e+02 0.00e+00 4.00e+00 5.00e-01  -1.0     -   0.00e+00  0  0 
   1  1.9823006e+02 0.00e+00 5.39e-01 2.45e-01  -1.0     -   1.00e+00  1  1f
   2  3.8102893e+01 0.00e+00 1.37e-01 8.71e-02  -1.7     -   1.00e+00  1  1f
   3  3.6879673e+00 0.00e+00 2.88e-02 2.76e-02  -2.5     -   1.00e+00  1  1f
   4  3.6694490e+00 0.00e+00 2.31e-02 1.01e-02  -2.5     -   1.00e+00  1  1f
   5 -1.2650409e+00 0.00e+00 7.31e-03 3.13e-03  -3.8     -   9.20e-01  1  1f
   6 -1.6968344e+00 0.00e+00 1.38e-02 1.05e-03  -3.8     -   1.00e+00  1  1f
   7 -1.6962299e+00 0.00e+00 1.65e-02 5.14e-04  -3.8     -   1.00e+00  1  1f
   8 -1.6944778e+00 0.00e+00 1.20e-02 3.34e-04  -3.8     -   1.00e+00  1  1f
   9 -1.6920145e+00 0.00e+00 3.40e-03 2.33e-04  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -1.6860329e+00 0.00e+00 1.25e-03 1.95e-04  -3.8     -   1.00e+00  1  1f
  11 -1.9881154e+00 0.00e+00 1.02e-03 5.03e-05  -5.7     -   9.89e-01  1  1f
  12 -1.9945792e+00 0.00e+00 2.28e-03 1.57e-05  -5.7     -   1.00e+00  1  1f
  13 -1.9950986e+00 0.00e+00 1.58e-03 5.81e-06  -5.7     -   1.00e+00  1  1f
  14 -1.9934742e+00 0.00e+00 1.33e-03 4.67e-06  -5.7     -   1.00e+00  1  1f
  15 -1.9935962e+00 0.00e+00 1.95e-11 1.99e-06  -5.7     -   1.00e+00  1  1f
  16 -1.9993200e+00 0.00e+00 8.12e-06 4.99e-07  -8.6     -   9.98e-01  1  1f
  17 -1.9998436e+00 0.00e+00 2.66e-11 1.26e-07  -8.6     -   1.00e+00  1  1f
  18 -1.9999710e+00 0.00e+00 3.00e-13 3.28e-08  -8.6     -   1.00e+00  1  1f
  19 -2.0000024e+00 0.00e+00 1.74e-13 9.49e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:  -2.0000023813967331e+00   -2.0000023813967331e+00
Dual infeasibility......:   1.7377849584492117e-13    1.7377849584492117e-13
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   9.4886668866889049e-09    9.4886668866889049e-09
Overall NLP error.......:   9.4886668866889049e-09    9.4886668866889049e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.036 s
Total wall secs in linear solver                      =  0.012 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.070 s

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