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

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

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...............:        3
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        3
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  8.5000000e+00 0.00e+00 4.00e+00 1.00e-08  -1.0     -   0.00e+00  0  0 
   1  3.3478274e-16 2.22e-16 1.78e-12 1.00e-06  -1.0     -   1.00e+00  1  1f
   2  7.3151975e-19 2.22e-16 2.43e-09 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 2

                                   (scaled)                 (unscaled)
Objective...............:   7.3151974892697074e-19    7.3151974892697074e-19
Dual infeasibility......:   2.4307927711701985e-09    2.4307927711701985e-09
Constraint violation....:   2.2204460988811498e-16    2.2204460988811498e-16
Complementarity.........:   2.5059036163104653e-09    2.5059036163104653e-09
Overall NLP error.......:   2.5059036163104653e-09    2.5059036163104653e-09

Number of objective function evaluations              = 3
Number of objective gradient evaluations              = 3
Number of constraint evaluations                      = 3
Number of constraint Jacobian evaluations             = 3
Number of Lagrangian Hessian evaluations              = 2
Number of KKT factorizations                          = 2
Number of KKT backsolves                              = 2

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.001 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.005 s
Total wall secs                                       =  0.020 s

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