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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:        8

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.................:        0
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  1.0000000e+00 0.00e+00 2.00e+00 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  9.2456998e-01 0.00e+00 1.92e+00 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  7.3827538e-01 0.00e+00 1.71e+00 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  4.1489328e-01 0.00e+00 1.22e+00 0.00e+00  -1.0    1.0  1.00e+00  1  1f
   4  1.4121013e-01 0.00e+00 6.12e-01 0.00e+00  -1.0    0.6  1.00e+00  1  1f
   5  3.5913533e-02 0.00e+00 2.40e-01 0.00e+00  -1.7    0.1  1.00e+00  1  1f
   6  8.2283085e-03 0.00e+00 8.50e-02 0.00e+00  -1.7   -0.4  1.00e+00  1  1f
   7  1.4358912e-03 0.00e+00 2.36e-02 0.00e+00  -2.5     -   1.00e+00  1  1f
   8  2.6425483e-04 0.00e+00 6.83e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
   9  4.9615259e-05 0.00e+00 1.99e-03 0.00e+00  -3.8     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  9.3206291e-06 0.00e+00 5.82e-04 0.00e+00  -3.8     -   1.00e+00  1  1f
  11  1.7099855e-06 0.00e+00 1.70e-04 0.00e+00  -5.7     -   1.00e+00  1  1f
  12  2.9273166e-07 0.00e+00 4.91e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  13  4.2242064e-08 0.00e+00 1.36e-05 0.00e+00  -5.7     -   1.00e+00  1  1f
  14  4.0170061e-09 0.00e+00 3.30e-06 0.00e+00  -8.6     -   1.00e+00  1  1f
  15  1.3439699e-10 0.00e+00 5.33e-07 0.00e+00  -8.6     -   1.00e+00  1  1f
  16  3.3993041e-13 0.00e+00 2.61e-08 0.00e+00  -8.6     -   1.00e+00  1  1f
  17  2.7241552e-18 0.00e+00 7.38e-11 0.00e+00  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 17

                                   (scaled)                 (unscaled)
Objective...............:   2.7241551920586041e-18    2.7241551920586041e-18
Dual infeasibility......:   7.3791741574112434e-11    7.3791741574112434e-11
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   7.3791741574112434e-11    7.3791741574112434e-11

Number of objective function evaluations              = 18
Number of objective gradient evaluations              = 18
Number of constraint evaluations                      = 18
Number of constraint Jacobian evaluations             = 18
Number of Lagrangian Hessian evaluations              = 17
Number of KKT factorizations                          = 26
Number of KKT backsolves                              = 17

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.006 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.007 s
Total wall secs                                       =  0.026 s

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