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.............:        7

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.................:        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  8.8904087e+01 0.00e+00 1.75e+01 1.00e+01  -1.0     -   0.00e+00  1  0 
   1  8.3685616e+01 0.00e+00 1.70e+01 4.91e-01  -1.0    2.0  1.00e+00  1  1f
   2  6.7352462e+01 0.00e+00 1.63e+01 1.19e-01  -1.0    1.5  1.00e+00  1  1f
   3  3.4687876e+01 0.00e+00 1.17e+01 1.00e-01  -1.0    1.0  1.00e+00  1  1f
   4  4.3381880e-01 0.00e+00 8.33e-01 9.99e-02  -1.0     -   1.00e+00  1  1f
   5  3.9789614e-01 0.00e+00 3.48e-03 2.08e-02  -1.7     -   1.00e+00  1  1f
   6  3.9788736e-01 0.00e+00 8.36e-07 1.75e-04  -3.8     -   1.00e+00  1  1f
   7  3.9788736e-01 0.00e+00 8.73e-11 1.85e-06  -5.7     -   1.00e+00  1  1f
   8  3.9788736e-01 0.00e+00 9.18e-15 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   3.9788735772973816e-01    3.9788735772973816e-01
Dual infeasibility......:   9.1840422214981412e-15    9.1840422214981412e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5062107952568037e-09    2.5062107952568037e-09
Overall NLP error.......:   2.5062107952568037e-09    2.5062107952568037e-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                          = 15
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.006 s
Total wall secs in linear solver                      =  0.017 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.044 s

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