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.............:   500500

Total number of variables............................:     1000
                     variables with only lower bounds:     1000
                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  2.6708333e+14 0.00e+00 9.90e+01 1.00e+03  -1.0     -   0.00e+00  0  0 
   1  1.6174386e+11 0.00e+00 9.90e-01 3.89e+01  -1.0     -   9.90e-01  1  1f
   2  2.4912596e+10 0.00e+00 1.00e-06 9.67e+00  -1.0     -   1.00e+00  1  1f
   3  6.5672637e+09 0.00e+00 1.00e-06 2.47e+00  -1.0     -   1.00e+00  1  1f
   4  1.9959585e+09 0.00e+00 1.00e-06 6.67e-01  -1.0     -   1.00e+00  1  1f
   5  5.6824145e+08 0.00e+00 2.00e-07 1.77e-01  -1.7     -   1.00e+00  1  1f
   6  1.5166837e+08 0.00e+00 2.83e-08 4.56e-02  -2.5     -   1.00e+00  1  1f
   7  4.7991381e+07 0.00e+00 2.83e-08 1.28e-02  -2.5     -   1.00e+00  1  1f
   8  1.2505116e+07 0.00e+00 1.50e-09 3.28e-03  -3.8     -   1.00e+00  1  1f
   9  3.6491546e+06 0.00e+00 1.50e-09 8.97e-04  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  9.1843555e+05 0.00e+00 1.84e-11 2.25e-04  -5.7     -   1.00e+00  1  1f
  11  2.3579632e+05 0.00e+00 1.84e-11 5.72e-05  -5.7     -   1.00e+00  1  1f
  12  6.5264018e+04 0.00e+00 1.84e-11 1.52e-05  -5.7     -   1.00e+00  1  1f
  13  1.6321834e+04 0.00e+00 2.51e-14 3.81e-06  -8.6     -   1.00e+00  1  1f
  14  4.0875350e+03 0.00e+00 2.51e-14 9.54e-07  -8.6     -   1.00e+00  1  1f
  15  1.0295905e+03 0.00e+00 2.51e-14 2.40e-07  -8.6     -   1.00e+00  1  1f
  16  2.6545486e+02 0.00e+00 2.51e-14 6.12e-08  -8.6     -   1.00e+00  1  1f
  17  7.4746932e+01 0.00e+00 2.51e-14 1.66e-08  -8.6     -   1.00e+00  1  1f
  18  2.1627448e+01 0.00e+00 3.12e-06 5.22e-09  -9.0     -   1.00e+00  1  1f
  19  9.1651905e+00 0.00e+00 9.09e-15 2.25e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   6.8687481892527557e-07    9.1651905019932585e+00
Dual infeasibility......:   9.0909267960737061e-15    1.2130314524567694e-07
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   1.6853348672792634e-16    2.2487962424411392e-09
Overall NLP error.......:   2.2487962424411392e-09    2.2487962424411392e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 19
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.040 s
Total wall secs in linear solver                      =  0.098 s
Total wall secs in NLP function evaluations           =  0.458 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.049 s
Total wall secs                                       =  0.645 s

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