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

Number of nonzeros in constraint Jacobian............:        9
Number of nonzeros in Lagrangian Hessian.............:        7

Total number of variables............................:        3
                     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...............:        3
        inequality constraints with only lower bounds:        3
   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  2.0000000e+00 1.80e+01 1.00e+00 2.00e+00  -1.0     -   0.00e+00  0  0 
   1  9.9999990e-02 6.17e+00 2.90e+00 1.00e-01  -1.0     -   1.00e+00  1  1h
   2  3.4877883e+00 5.70e+00 1.00e+00 1.64e+00  -1.0     -   1.00e+00  1  1h
   3  1.8491213e+00 2.46e+00 7.10e-01 4.27e-01  -1.0     -   9.29e-01  1  1h
   4  2.0324477e+00 8.00e-01 1.63e-01 1.63e-01  -1.0     -   1.00e+00  1  1h
   5  2.0255633e+00 1.12e-01 3.83e-02 5.59e-02  -1.7     -   8.79e-01  1  1h
   6  2.0097534e+00 1.26e-02 1.04e-02 1.17e-02  -2.5     -   1.00e+00  1  1h
   7  2.0008567e+00 6.65e-04 3.08e-04 1.10e-03  -3.8     -   1.00e+00  1  1h
   8  2.0000114e+00 9.26e-06 2.93e-06 1.40e-05  -5.7     -   1.00e+00  1  1h
   9  2.0000000e+00 1.48e-09 4.63e-10 4.49e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   1.9999999984490999e+00    1.9999999984490999e+00
Dual infeasibility......:   4.6286363630798633e-10    4.6286363630798633e-10
Constraint violation....:   1.4834206615770975e-09    1.4834206615770975e-09
Complementarity.........:   4.4933063286579429e-09    4.4933063286579429e-09
Overall NLP error.......:   4.4933063286579429e-09    4.4933063286579429e-09

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 10
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 10
Number of Lagrangian Hessian evaluations              = 9
Number of KKT factorizations                          = 9
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.004 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.030 s

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