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.............:    74970

Total number of variables............................:     5000
                     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 -1.4294608e+04 0.00e+00 1.06e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1 -1.4985656e+04 0.00e+00 1.20e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   2 -1.4994000e+04 0.00e+00 1.33e-04 0.00e+00  -2.5     -   1.00e+00  1  1f
   3 -1.4994000e+04 0.00e+00 1.88e-13 0.00e+00  -5.7     -   1.00e+00  1  1f

Number of Iterations....: 3

                                   (scaled)                 (unscaled)
Objective...............:  -1.4994000000000000e+04   -1.4994000000000000e+04
Dual infeasibility......:   1.8750235733569920e-13    1.8750235733569920e-13
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.8750235733569920e-13    1.8750235733569920e-13

Number of objective function evaluations              = 4
Number of objective gradient evaluations              = 4
Number of constraint evaluations                      = 4
Number of constraint Jacobian evaluations             = 4
Number of Lagrangian Hessian evaluations              = 3
Number of KKT factorizations                          = 3
Number of KKT backsolves                              = 3

Total wall secs in initialization                     =  0.024 s
Total wall secs in linear solver                      =  0.002 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.002 s
Total wall secs                                       =  0.029 s

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