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:        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  3.9800290e+15 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  6.8296307e+14 0.00e+00 2.87e+01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2  9.7502151e+13 0.00e+00 7.83e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  8.9378870e+12 0.00e+00 1.85e+00 0.00e+00  -1.0     -   1.00e+00  1  1f
   4  2.7096164e+11 0.00e+00 2.84e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   5  5.4032599e+08 0.00e+00 1.23e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   6  2.6227798e+03 0.00e+00 2.70e-05 0.00e+00  -3.8     -   1.00e+00  1  1f
   7  6.2406181e-08 0.00e+00 1.32e-10 0.00e+00  -5.7     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   5.2205070077285891e-16    6.2406180871945855e-08
Dual infeasibility......:   1.3190497067886841e-10    1.5767980860686044e-02
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.1034336890383649e-18    1.3190497067886841e-10

Number of objective function evaluations              = 8
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 8
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 7

Total wall secs in initialization                     =  0.042 s
Total wall secs in linear solver                      =  0.038 s
Total wall secs in NLP function evaluations           =  0.083 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.010 s
Total wall secs                                       =  0.173 s

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