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.............:        2

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.................:        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 6.00e+00 2.22e-16 0.00e+00  -1.0     -   0.00e+00  1  0 
   1 -1.5000000e+00 1.37e+00 2.38e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   2 -1.2000000e+00 3.78e-01 2.70e-01 0.00e+00  -1.0     -   1.00e+00  1  1h
   3 -1.0500000e+00 7.76e-02 1.84e-01 0.00e+00  -1.7     -   1.00e+00  1  1h
   4 -1.0043478e+00 6.47e-03 4.57e-02 0.00e+00  -2.5     -   1.00e+00  1  1h
   5 -1.0000373e+00 5.59e-05 1.00e-03 0.00e+00  -2.5     -   1.00e+00  1  1h
   6 -1.0000000e+00 4.18e-09 1.68e-07 0.00e+00  -5.7     -   1.00e+00  1  1h
   7 -1.0000000e+00 0.00e+00 2.22e-15 0.00e+00  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:  -1.0000000000000000e+00   -1.0000000000000000e+00
Dual infeasibility......:   2.2204460492503131e-15    2.2204460492503131e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   2.2204460492503131e-15    2.2204460492503131e-15

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                          = 8
Number of KKT backsolves                              = 8

Total wall secs in initialization                     =  0.007 s
Total wall secs in linear solver                      =  0.018 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.012 s
Total wall secs                                       =  0.040 s

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