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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        6

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        2
                     variables with only upper bounds:        0
Total number of equality constraints.................:        1
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 8.41e-01 5.00e-01 2.00e+00  -1.0     -   0.00e+00  1  0 
   1  1.5607670e-01 5.29e-01 9.10e+00 6.48e-01  -1.0     -   1.00e+00  1  1h
   2  3.5050711e-01 6.59e-02 4.53e+00 2.38e-01  -1.0     -   1.00e+00  1  1h
   3  1.7327410e-01 9.57e-05 1.61e-01 1.42e-01  -1.0     -   1.00e+00  1  1h
   4  1.1710105e-01 2.92e-13 1.26e-02 3.29e-02  -2.5     -   1.00e+00  1  1f
   5  8.8040045e-02 0.00e+00 8.68e-03 5.76e-03  -2.5     -   1.00e+00  1  1f
   6  8.2263751e-02 1.11e-16 3.96e-04 3.81e-04  -3.8     -   1.00e+00  1  1f
   7  8.2086370e-02 0.00e+00 3.83e-07 2.39e-06  -5.7     -   1.00e+00  1  1f
   8  8.2085000e-02 0.00e+00 2.29e-11 2.53e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   8.2084999913470458e-02    8.2084999913470458e-02
Dual infeasibility......:   2.2857521431163264e-11    2.2857521431163264e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5324590655772236e-09    2.5324590655772236e-09
Overall NLP error.......:   2.5324590655772236e-09    2.5324590655772236e-09

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                     =  0.005 s
Total wall secs in linear solver                      =  0.019 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.018 s
Total wall secs                                       =  0.043 s

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