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.............:    44982

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  1.3528115e+03 0.00e+00 1.81e+00 1.00e+00  -1.0     -   0.00e+00  1  0 
   1  2.3003555e+02 0.00e+00 3.06e-01 1.98e-01  -1.0     -   1.00e+00  1  1f
   2  5.5757131e+01 0.00e+00 8.89e-02 2.04e-02  -1.7     -   1.00e+00  1  1f
   3  1.6656571e+01 0.00e+00 2.62e-02 2.95e-03  -2.5     -   1.00e+00  1  1f
   4  5.2609534e+00 0.00e+00 8.87e-03 1.35e-04  -3.8     -   1.00e+00  1  1f
   5  1.6982044e+00 0.00e+00 3.14e-03 1.65e-04  -3.8     -   1.00e+00  1  1f
   6  5.4981189e-01 0.00e+00 1.13e-03 1.50e-04  -3.8     -   1.00e+00  1  1f
   7  1.8587703e-01 0.00e+00 3.79e-04 1.13e-06  -5.7     -   1.00e+00  1  1f
   8  6.3141830e-02 0.00e+00 1.36e-04 1.94e-06  -5.7     -   1.00e+00  1  1f
   9  2.1539806e-02 0.00e+00 4.89e-05 1.84e-06  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  7.3193879e-03 0.00e+00 1.78e-05 1.84e-06  -5.7     -   1.00e+00  1  1f
  11  2.5461832e-03 0.00e+00 6.16e-06 8.84e-09  -8.6     -   1.00e+00  1  1f
  12  8.8811974e-04 0.00e+00 2.23e-06 2.59e-09  -8.6     -   1.00e+00  1  1f
  13  3.1086608e-04 0.00e+00 8.05e-07 2.51e-09  -8.6     -   1.00e+00  1  1f
  14  1.0908746e-04 0.00e+00 2.92e-07 2.50e-09  -8.6     -   1.00e+00  1  1f
  15  3.8314514e-05 0.00e+00 1.06e-07 2.50e-09  -8.6     -   1.00e+00  1  1f
  16  1.3420082e-05 0.00e+00 3.86e-08 2.51e-09  -8.6     -   1.00e+00  1  1f
  17  4.6442236e-06 0.00e+00 1.43e-08 2.51e-09  -8.6     -   1.00e+00  1  1f
  18  1.6121550e-06 0.00e+00 5.10e-09 9.00e-10  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:   1.6121549674332381e-06    1.6121549674332381e-06
Dual infeasibility......:   5.0983097210753724e-09    5.0983097210753724e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   8.9978123627210740e-10    8.9978123627210740e-10
Overall NLP error.......:   5.0983097210753724e-09    5.0983097210753724e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 19
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 19
Number of Lagrangian Hessian evaluations              = 18
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.009 s
Total wall secs in linear solver                      =  0.048 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.034 s
Total wall secs                                       =  0.094 s

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