This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:    10000
Number of nonzeros in Lagrangian Hessian.............:     7500

Total number of variables............................:     5000
                     variables with only lower bounds:        0
                variables with lower and upper bounds:     5000
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:     2501
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     2501
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  0.0000000e+00 1.25e+03 0.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1 -7.9851812e-14 1.25e+03 5.59e-06 4.84e-06  -1.0     -   8.00e-09  2  1h
   2 -1.2202240e+03 1.23e+01 3.54e-07 8.98e-07  -1.0   -4.0  9.90e-01  1  1h
   3 -1.2447741e+03 4.63e-09 3.05e-11 2.86e-07  -1.0   -4.5  1.00e+00  1  1h
   4 -1.2457557e+03 3.99e-10 2.24e-05 2.87e-07  -8.6   -5.0  9.17e-01  1  1f
   5 -1.2468138e+03 1.60e-11 3.01e-05 3.19e-07  -8.6   -5.4  9.65e-01  1  1f
   6 -1.2477076e+03 9.83e-13 2.97e-05 3.40e-07  -8.6   -5.9  9.88e-01  1  1f
   7 -1.2482965e+03 3.28e-13 2.73e-05 3.55e-07  -8.6   -6.4  9.84e-01  2  1f
   8 -1.2485210e+03 2.39e-13 2.65e-05 4.48e-07  -8.6   -6.9  7.93e-01  2  1f
   9 -1.2486171e+03 1.92e-13 6.66e-05 7.35e-07  -8.6   -7.3  6.76e-01  2  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -1.2486623e+03 2.83e-13 5.23e-04 1.50e-06  -8.6     -   6.44e-01 10  1f
  11 -1.2486838e+03 3.60e-13 3.09e-03 3.87e-06  -8.6     -   6.47e-01  5  1f
  12 -1.2486941e+03 3.82e-13 1.41e-02 1.16e-05  -8.6     -   6.78e-01  3  1f
  13 -1.2486986e+03 4.00e-14 6.80e-03 3.71e-06  -8.6     -   7.37e-01  3  1f
  14 -1.2487004e+03 6.58e-14 1.96e-03 1.04e-06  -8.6     -   8.27e-01  2  1f
  15 -1.2487008e+03 4.22e-14 1.30e-04 2.47e-07  -8.6     -   9.70e-01  2  1f
  16 -1.2487009e+03 3.51e-13 1.92e-12 6.20e-08  -8.6     -   1.00e+00  2  1f
  17 -1.2487009e+03 1.86e-13 8.57e-16 1.67e-08  -8.6     -   1.00e+00  3  1h
  18 -1.2487009e+03 1.43e-13 4.10e-13 4.64e-09  -9.0     -   1.00e+00  2  1h

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:  -1.2487008701324526e+03   -1.2487008701324526e+03
Dual infeasibility......:   4.0956127378422025e-13    4.0956127378422025e-13
Constraint violation....:   1.4269120853336479e-13    1.4269120853336479e-13
Complementarity.........:   4.6358336984642110e-09    4.6358336984642110e-09
Overall NLP error.......:   4.6358336984642110e-09    4.6358336984642110e-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                          = 26
Number of KKT backsolves                              = 55

Total wall secs in initialization                     =  0.026 s
Total wall secs in linear solver                      =  0.045 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.042 s
Total wall secs                                       =  0.116 s

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