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.............:       30

Total number of variables............................:        2
                     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  4.0997370e+00 0.00e+00 2.75e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  2.3795485e+00 0.00e+00 1.50e+00 0.00e+00  -1.0     -   5.00e-01  1  2f
   2  5.5381828e-01 0.00e+00 5.34e-01 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  7.5316743e-02 0.00e+00 1.55e-01 0.00e+00  -1.7     -   1.00e+00  1  1f
   4  3.0558550e-03 0.00e+00 2.75e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   5  8.2703976e-06 0.00e+00 1.39e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   6  6.9658492e-11 0.00e+00 4.02e-06 0.00e+00  -5.7     -   1.00e+00  1  1f
   7  4.9811532e-21 0.00e+00 3.40e-11 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   4.9811532187268368e-21    4.9811532187268368e-21
Dual infeasibility......:   3.3981350716253876e-11    3.3981350716253876e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   3.3981350716253876e-11    3.3981350716253876e-11

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 8
Number of KKT backsolves                              = 12

Total wall secs in initialization                     =  0.002 s
Total wall secs in linear solver                      =  0.018 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.006 s
Total wall secs                                       =  0.027 s

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