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.............:    29997

Total number of variables............................:    10000
                     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  8.7749480e+03 0.00e+00 9.59e-01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  8.7208602e+03 0.00e+00 9.97e-01 0.00e+00  -1.7    2.0  1.00e+00  1  1f
   2  8.5309130e+03 0.00e+00 1.13e+00 0.00e+00  -1.7    1.5  1.00e+00  1  1f
   3  7.5238868e+03 0.00e+00 1.90e+00 0.00e+00  -1.7    1.0  1.00e+00  1  1f
   4  6.9639894e+03 0.00e+00 2.26e+00 0.00e+00  -1.7    1.5  1.00e+00  1  1f
   5  3.0642973e+03 0.00e+00 2.55e+00 0.00e+00  -1.7    1.0  1.00e+00  1  1f
   6  8.1607179e+02 0.00e+00 2.58e+00 0.00e+00  -1.7    1.4  1.00e+00  1  1f
   7 -8.7212441e+03 0.00e+00 2.02e+00 0.00e+00  -1.7    0.9  1.00e+00  1  1f
   8 -9.9954693e+03 0.00e+00 1.75e-01 0.00e+00  -1.7    0.5  1.00e+00  1  1f
   9 -9.9989848e+03 0.00e+00 9.55e-03 0.00e+00  -2.5   -0.0  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -9.9990000e+03 0.00e+00 2.12e-04 0.00e+00  -3.8   -0.5  1.00e+00  1  1f
  11 -9.9990000e+03 0.00e+00 1.68e-06 0.00e+00  -5.7   -1.0  1.00e+00  1  1f
  12 -9.9990000e+03 0.00e+00 4.68e-09 0.00e+00  -8.6   -1.4  1.00e+00  1  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:  -9.9990000000000000e+03   -9.9990000000000000e+03
Dual infeasibility......:   4.6785315016300029e-09    4.6785315016300029e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.6785315016300029e-09    4.6785315016300029e-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                          = 30
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.005 s
Total wall secs in linear solver                      =  0.055 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.073 s

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