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

Number of nonzeros in constraint Jacobian............:        6
Number of nonzeros in Lagrangian Hessian.............:        4

Total number of variables............................:        4
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        2
Total number of inequality constraints...............:        0
        inequality constraints with only lower bounds:        0
   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 1.00e+01 2.75e-01 0.00e+00  -1.0     -   0.00e+00  1  0 
   1 -4.0348071e+00 9.23e+01 4.85e+00 0.00e+00  -1.0     -   1.00e+00  1  1h
   2 -3.3257737e+00 3.86e+01 1.23e+00 0.00e+00  -1.0    0.0  1.00e+00  1  1h
   3 -2.7254157e+00 1.53e+01 1.71e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   4 -2.2489206e+00 4.38e+00 1.52e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   5 -1.8285803e+00 1.59e+00 1.74e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   6 -1.5111196e+00 6.79e-01 1.78e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   7 -1.2883496e+00 2.80e-01 1.60e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   8 -1.1371586e+00 1.08e-01 1.30e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   9 -1.0458314e+00 3.37e-02 8.18e-02 0.00e+00  -2.5     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -1.0073478e+00 5.39e-03 2.47e-02 0.00e+00  -2.5     -   1.00e+00  1  1h
  11 -1.0002717e+00 1.81e-04 1.29e-03 0.00e+00  -3.8     -   1.00e+00  1  1h
  12 -1.0000006e+00 2.99e-07 2.84e-06 0.00e+00  -5.7     -   1.00e+00  1  1h
  13 -1.0000000e+00 1.68e-12 1.33e-11 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 13

                                   (scaled)                 (unscaled)
Objective...............:  -1.0000000000031393e+00   -1.0000000000031393e+00
Dual infeasibility......:   1.3320041575926419e-11    1.3320041575926419e-11
Constraint violation....:   1.6764367671839864e-12    1.6764367671839864e-12
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.3320041575926419e-11    1.3320041575926419e-11

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 14
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 14
Number of Lagrangian Hessian evaluations              = 13
Number of KKT factorizations                          = 17
Number of KKT backsolves                              = 14

Total wall secs in initialization                     =  0.007 s
Total wall secs in linear solver                      =  0.023 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.018 s
Total wall secs                                       =  0.053 s

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