This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        8
Number of nonzeros in Lagrangian Hessian.............:        7

Total number of variables............................:        5
                     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...............:        2
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        2
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  8.4000000e+01 0.00e+00 1.60e+01 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  9.5661594e-16 0.00e+00 2.66e-12 1.00e-06  -1.0     -   1.00e+00  1  1f
   2  1.5187743e-16 4.44e-16 1.75e-08 2.51e-09  -8.6     -   1.00e+00  1  1f
   3  0.0000000e+00 2.83e-16 1.16e-16 9.09e-10  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 3

                                   (scaled)                 (unscaled)
Objective...............:   0.0000000000000000e+00    0.0000000000000000e+00
Dual infeasibility......:   1.1630891880927985e-16    1.1630891880927985e-16
Constraint violation....:   2.8298265819903926e-16    2.8298265819903926e-16
Complementarity.........:   9.0909093481660562e-10    9.0909093481660562e-10
Overall NLP error.......:   9.0909093481660562e-10    9.0909093481660562e-10

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                     =  0.018 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.)  =  0.008 s
Total wall secs                                       =  0.029 s

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