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.............:    35000

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...............:     5000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     5000
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.9289984e-02 2.50e+01 7.72e-02 5.00e-01  -1.0     -   0.00e+00  0  0 
   1  1.9289983e-02 2.50e+01 6.58e-06 3.99e-10  -1.0     -   2.59e-08  3  1h
   2 -4.2869269e-03 1.25e+01 1.77e-03 7.36e-11  -1.0   -4.0  1.00e+00  1  1h
   3 -5.2916196e-04 1.25e+00 1.77e-03 4.42e-11  -1.0     -   1.00e+00  5  1h
   4 -6.6144438e-06 1.52e-02 1.99e-03 4.33e-11  -1.0     -   1.00e+00  4  1h
   5 -1.0090931e-09 2.06e-04 1.30e+00 4.68e-11  -3.8     -   1.00e+00  4  1h
   6 -3.3763880e-16 4.02e-08 2.66e-04 4.25e-11  -3.8     -   1.00e+00  4  1h
   7 -3.4669782e-16 1.18e-14 2.22e-07 4.25e-11  -5.7     -   1.00e+00  1  1h
   8 -3.4117570e-15 2.13e-14 4.22e-08 4.25e-11  -8.6     -   1.00e+00 10  1h
   9 -2.2600780e-12 2.26e-14 1.41e-10 4.25e-11  -8.6     -   1.00e+00  4  1h

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:  -2.2600780237346991e-12   -2.2600780237346991e-12
Dual infeasibility......:   1.4118131527894664e-10    1.4118131527894664e-10
Constraint violation....:   2.2603284587333423e-14    2.2603284587333423e-14
Complementarity.........:   4.2456770523105780e-11    4.2456770523105780e-11
Overall NLP error.......:   1.4118131527894664e-10    1.4118131527894664e-10

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 10
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 10
Number of Lagrangian Hessian evaluations              = 9
Number of KKT factorizations                          = 10
Number of KKT backsolves                              = 36

Total wall secs in initialization                     =  0.021 s
Total wall secs in linear solver                      =  0.022 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.064 s

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