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

Number of nonzeros in constraint Jacobian............:        4
Number of nonzeros in Lagrangian Hessian.............:        3

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...............:        2
        inequality constraints with only lower bounds:        2
   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 2.01e+00 2.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  7.7683818e-01 7.09e-01 3.92e-01 7.72e-02  -1.0     -   1.00e+00  1  1h
   2  8.7240707e-01 3.00e-01 1.95e-01 4.34e-02  -1.7     -   5.87e-01  1  1h
   3  1.0370687e+00 8.98e-03 4.36e-02 2.29e-02  -1.7     -   1.00e+00  1  1h
   4  1.0057317e+00 2.39e-04 1.05e-04 3.18e-03  -2.5     -   1.00e+00  1  1h
   5  1.0003272e+00 7.27e-06 1.00e-05 1.75e-04  -3.8     -   1.00e+00  1  1h
   6  1.0000038e+00 2.62e-08 3.61e-08 1.92e-06  -5.7     -   1.00e+00  1  1h
   7  9.9999999e-01 3.56e-12 5.36e-12 2.52e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   9.9999999168991582e-01    9.9999999168991582e-01
Dual infeasibility......:   5.3566040492114553e-12    5.3566040492114553e-12
Constraint violation....:   3.5580472250407950e-12    3.5580472250407950e-12
Complementarity.........:   2.5157382479052004e-09    2.5157382479052004e-09
Overall NLP error.......:   2.5157382479052004e-09    2.5157382479052004e-09

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

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.003 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.027 s

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