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.............:       16

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.................:        3
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  1.0000000e+00 1.18e+01 9.91e-01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  1.0855217e+01 2.87e+00 2.38e+01 0.00e+00  -1.0     -   1.00e+00  1  1h
   2  2.3513749e+00 7.49e-01 6.79e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   3  8.7870444e-01 2.18e-01 1.74e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   4  7.6366397e-01 6.48e-02 2.63e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   5  8.2112245e-01 3.26e-03 5.06e-02 0.00e+00  -1.7     -   1.00e+00  1  1h
   6  8.2485642e-01 3.08e-05 6.07e-04 0.00e+00  -2.5     -   1.00e+00  1  1h
   7  8.2489176e-01 1.19e-08 3.34e-08 0.00e+00  -5.7     -   1.00e+00  1  1h
   8  8.2489178e-01 1.11e-16 1.33e-15 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   8.2489177828766613e-01    8.2489177828766613e-01
Dual infeasibility......:   1.3322676295501878e-15    1.3322676295501878e-15
Constraint violation....:   1.1102230246251565e-16    1.1102230246251565e-16
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.3322676295501878e-15    1.3322676295501878e-15

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 9
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.007 s
Total wall secs in linear solver                      =  0.020 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.043 s

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