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.............:       60

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  1.8845685e+00 0.00e+00 5.36e+00 0.00e+00  -1.0     -   0.00e+00  1  0 
   1  3.5019987e-01 0.00e+00 1.56e+00 0.00e+00  -1.0   -2.0  1.00e+00  1  1f
   2  8.2711385e-02 0.00e+00 4.39e-02 0.00e+00  -1.0     -   1.00e+00  1  1f
   3  6.9184556e-02 0.00e+00 6.77e-03 0.00e+00  -2.5   -2.5  1.00e+00  1  1f
   4  2.3491271e-03 0.00e+00 5.94e-02 0.00e+00  -3.8   -3.0  1.00e+00  1  1f
   5  2.9780605e-05 0.00e+00 1.23e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   6  1.7025134e-08 0.00e+00 4.40e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
   7  7.3358811e-15 0.00e+00 3.13e-08 0.00e+00  -5.7     -   1.00e+00  1  1f
   8  1.3651996e-27 0.00e+00 1.36e-14 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   1.3651995760838245e-27    1.3651995760838245e-27
Dual infeasibility......:   1.3570769559961517e-14    1.3570769559961517e-14
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.3570769559961517e-14    1.3570769559961517e-14

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                          = 13
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.008 s
Total wall secs in linear solver                      =  0.018 s
Total wall secs in NLP function evaluations           =  0.007 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.043 s

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