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.................:        0
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        1
        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 2.00e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1  9.9999980e-01 8.41e-01 1.60e-04 8.73e-05  -1.0     -   1.00e-07  1  2h
   2  1.9834267e-01 5.29e-01 4.05e-04 4.87e-05  -1.7     -   1.00e+00  3  1h
   3  4.9927030e-01 6.59e-02 2.72e-04 4.86e-06  -1.7     -   1.00e+00  5  1h
   4  1.9166874e-01 9.57e-05 1.45e-04 4.11e-06  -2.5     -   1.00e+00  4  1h
   5  8.2084538e-02 7.16e-06 1.65e-04 3.00e-06  -5.7     -   9.25e-01  3  1f
   6  8.2094901e-02 1.62e-16 4.80e-07 9.90e-06  -5.7     -   1.00e+00  1  1h
   7  8.2085001e-02 1.04e-16 1.19e-09 3.83e-09  -8.6     -   1.00e+00  2  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   8.2085001227296422e-02    8.2085001227296422e-02
Dual infeasibility......:   1.1938484228979362e-09    1.1938484228979362e-09
Constraint violation....:   1.0418024199253564e-16    1.0418024199253564e-16
Complementarity.........:   3.8348565492046657e-09    3.8348565492046657e-09
Overall NLP error.......:   3.8348565492046657e-09    3.8348565492046657e-09

Number of objective function evaluations              = 9
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 9
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.013 s
Total wall secs                                       =  0.039 s

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