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.............:       11

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...............:        2
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        2

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.4142136e+00 5.88e-01 1.41e+00 3.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.2626925e+00 1.98e-01 8.07e+00 2.31e+00  -1.0     -   1.00e+00  1  1h
   2  1.8822714e+00 3.97e-02 7.94e-01 1.08e+00  -1.0     -   1.00e+00  1  1h
   3  1.3045665e+00 2.17e-01 1.65e+00 1.48e-01  -1.7     -   1.00e+00  1  1h
   4  1.4787929e+00 3.85e-02 3.05e-01 3.66e-02  -1.7     -   1.00e+00  1  1h
   5  1.5206556e+00 5.45e-03 4.63e-02 2.36e-02  -1.7     -   1.00e+00  1  1h
   6  1.5113521e+00 5.90e-05 3.16e-05 2.97e-03  -2.5     -   1.00e+00  1  1h
   7  1.5087994e+00 2.82e-06 1.07e-05 1.56e-04  -3.8     -   1.00e+00  1  1h
   8  1.5086542e+00 9.14e-09 4.07e-08 1.86e-06  -5.7     -   1.00e+00  1  1h
   9  1.5086524e+00 1.46e-12 6.57e-12 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   1.5086524049197574e+00    1.5086524049197574e+00
Dual infeasibility......:   6.5731864395957018e-12    6.5731864395957018e-12
Constraint violation....:   1.4597810985247689e-12    1.4597810985247689e-12
Complementarity.........:   2.5084209507308209e-09    2.5084209507308209e-09
Overall NLP error.......:   2.5084209507308209e-09    2.5084209507308209e-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                     =  0.012 s
Total wall secs in linear solver                      =  0.005 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.014 s
Total wall secs                                       =  0.033 s

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