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

Number of nonzeros in constraint Jacobian............:       10
Number of nonzeros in Lagrangian Hessian.............:       10

Total number of variables............................:        4
                     variables with only lower bounds:        4
                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:        1
   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 -1.2500000e+00 0.00e+00 3.50e+00 2.50e+00  -1.0     -   0.00e+00  0  0 
   1 -3.1405693e+00 4.44e-16 1.18e+00 1.08e+00  -1.0     -   1.00e+00  1  1f
   2 -4.4532705e+00 2.22e-16 1.00e-06 1.92e-01  -1.0     -   1.00e+00  1  1f
   3 -4.6186251e+00 8.88e-16 8.17e-02 6.67e-02  -2.5     -   7.48e-01  1  1f
   4 -4.6707781e+00 8.19e-16 7.09e-03 7.81e-03  -2.5     -   1.00e+00  1  1f
   5 -4.6814133e+00 1.61e-15 1.50e-09 2.39e-04  -3.8     -   1.00e+00  1  1f
   6 -4.6818144e+00 4.90e-16 1.84e-11 2.00e-06  -5.7     -   1.00e+00  1  1f
   7 -4.6818182e+00 8.08e-16 2.52e-14 2.52e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -4.6818181986167993e+00   -4.6818181986167993e+00
Dual infeasibility......:   2.5202062658991053e-14    2.5202062658991053e-14
Constraint violation....:   8.0775687652306569e-16    8.0775687652306569e-16
Complementarity.........:   2.5194747285090367e-09    2.5194747285090367e-09
Overall NLP error.......:   2.5194747285090367e-09    2.5194747285090367e-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                     =  0.018 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.)  =  0.016 s
Total wall secs                                       =  0.040 s

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