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.............:   103020

Total number of variables............................:     5002
                     variables with only lower bounds:     5002
                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  2.5821882e+00 0.00e+00 1.02e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.8873550e+00 0.00e+00 7.14e-06 9.67e-06  -1.0     -   1.00e+00  1  1f
   2  2.7201452e+00 0.00e+00 3.10e-05 9.71e-06  -8.6     -   1.00e+00  1  1f
   3  2.6109171e+00 0.00e+00 3.31e-04 1.26e-05  -8.6     -   1.00e+00  1  1f
   4  2.5343267e+00 0.00e+00 7.26e-03 4.37e-05  -8.6     -   7.93e-01  1  1f
   5  2.5142643e+00 0.00e+00 3.78e-03 1.96e-05  -8.6     -   7.15e-01  1  1f
   6  2.5095210e+00 0.00e+00 2.65e-03 5.12e-06  -8.6     -   6.42e-01  1  1f
   7  2.5078489e+00 0.00e+00 1.36e-03 1.67e-06  -8.6     -   6.60e-01  1  1f
   8  2.5072647e+00 0.00e+00 7.17e-04 5.77e-07  -8.6     -   6.95e-01  1  1f
   9  2.5070093e+00 0.00e+00 4.42e-05 1.49e-07  -8.6     -   9.62e-01  2  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.5069647e+00 0.00e+00 8.69e-07 3.86e-08  -8.6     -   1.00e+00  1  1f
  11  2.5069543e+00 0.00e+00 9.41e-08 1.09e-08  -8.6     -   1.00e+00  1  1f
  12  2.5069518e+00 0.00e+00 9.56e-09 4.13e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   2.5069517602385858e+00    2.5069517602385858e+00
Dual infeasibility......:   9.5591948037765384e-09    9.5591948037765384e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   4.1264270998508789e-09    4.1264270998508789e-09
Overall NLP error.......:   9.5591948037765384e-09    9.5591948037765384e-09

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.041 s
Total wall secs in linear solver                      =  0.022 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.017 s
Total wall secs                                       =  0.084 s

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