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.............:    10000

Total number of variables............................:     5000
                     variables with only lower bounds:        0
                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  2.5184000e+03 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.3927892e+03 0.00e+00 7.50e+01 0.00e+00  -1.0     -   2.50e-01  1  3f
   2  1.2075696e+03 0.00e+00 4.78e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  1.1422826e+03 0.00e+00 4.50e+00 0.00e+00  -1.7     -   5.00e-01  1  2f
   4  4.7217051e+02 0.00e+00 2.89e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   5  3.4783059e+02 0.00e+00 3.07e+00 0.00e+00  -1.7     -   5.00e-01  1  2f
   6  1.3729768e+02 0.00e+00 2.13e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   7  7.2832474e+01 0.00e+00 1.07e+00 0.00e+00  -1.7     -   5.00e-01  1  2f
   8  2.4636754e+01 0.00e+00 5.46e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   9  5.8070450e+00 0.00e+00 4.74e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  5.9469294e-01 0.00e+00 1.03e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
  11  1.2311916e-02 0.00e+00 2.81e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
  12  7.0445574e-06 0.00e+00 3.93e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  13  2.5227505e-12 0.00e+00 4.10e-07 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  3.3208233e-25 0.00e+00 9.54e-14 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 14

                                   (scaled)                 (unscaled)
Objective...............:   1.5693871720337707e-25    3.3208232560234583e-25
Dual infeasibility......:   9.5386836425733097e-14    2.0183854587685121e-13
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.5078845191745330e-14    9.5386836425733097e-14

Number of objective function evaluations              = 36
Number of objective gradient evaluations              = 15
Number of constraint evaluations                      = 36
Number of constraint Jacobian evaluations             = 15
Number of Lagrangian Hessian evaluations              = 14
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 30

Total wall secs in initialization                     =  0.019 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.041 s

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