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.............:   119997

Total number of variables............................:    20000
                     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  1.2640781e+07 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.3915640e+04 0.00e+00 8.93e-01 0.00e+00  -1.0    0.0  1.00e+00  1  1f
   2  1.4452030e+03 0.00e+00 3.00e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   3  1.1078276e+03 0.00e+00 3.65e-01 0.00e+00  -1.7   -0.5  1.00e+00  1  1f
   4  9.6159098e+01 0.00e+00 4.62e-02 0.00e+00  -1.7     -   1.00e+00  1  1f
   5  3.1569735e+00 0.00e+00 1.67e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   6  8.3856095e-03 0.00e+00 4.01e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   7  6.9439522e-07 0.00e+00 1.80e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
   8  3.8504429e-12 0.00e+00 4.95e-07 0.00e+00  -5.7     -   1.00e+00  1  1f
   9  1.4615004e-22 0.00e+00 2.76e-12 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   4.8270179917560097e-24    1.4615003724539259e-22
Dual infeasibility......:   2.7553551876976369e-12    8.3425266695515209e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   9.1003391551404072e-14    2.7553551876976369e-12

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                          = 13
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.039 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.005 s
Total wall secs                                       =  0.057 s

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