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

Number of nonzeros in constraint Jacobian............:     3006
Number of nonzeros in Lagrangian Hessian.............:     1002

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...............:     1002
        inequality constraints with only lower bounds:     1002
   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  0.0000000e+00 1.01e+00 1.00e+00 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.8757818e-02 9.71e-01 2.50e+00 1.00e+00  -1.0     -   3.83e-02  1  1h
   2  1.0463415e+00 2.22e-15 2.81e+02 1.83e+00  -1.0     -   1.00e+00  1  1h
   3  1.0771315e+00 1.71e-06 7.84e+00 6.93e-01  -1.0    0.0  1.00e+00  1  1f
   4  1.2485111e+00 5.55e-16 1.10e+00 3.96e-01  -1.0     -   1.00e+00  1  1f
   5  1.7741162e+00 6.55e-15 7.88e-01 2.91e-01  -1.0     -   1.00e+00  1  1f
   6  1.9523164e+00 1.31e-14 1.22e-02 2.36e-02  -1.7     -   1.00e+00  1  1f
   7  1.7704668e+00 8.88e-16 8.88e-16 3.53e-03  -3.8     -   1.00e+00  1  1f
   8  1.0001159e+00 6.66e-16 6.06e-04 6.57e-04  -3.8     -   7.09e-01  1  1f
   9  9.9999999e-01 4.44e-16 1.33e-01 1.06e-05  -5.7     -   5.12e-02  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.0000126e+00 1.23e-13 8.05e-12 1.11e-05  -5.7     -   1.00e+00  1  1f
  11  9.9999999e-01 6.25e-12 9.88e-03 1.30e-07  -8.6   -0.5  8.99e-01  1  1f
  12  9.9999999e-01 2.52e-12 2.86e-10 2.57e-09  -8.6   -1.0  1.00e+00  2  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   9.9999999257076189e-01    9.9999999257076189e-01
Dual infeasibility......:   2.8637110955145872e-10    2.8637110955145872e-10
Constraint violation....:   2.5155430882379673e-12    2.5155430882379673e-12
Complementarity.........:   2.5719601105271992e-09    2.5719601105271992e-09
Overall NLP error.......:   2.5719601105271992e-09    2.5719601105271992e-09

Number of objective function evaluations              = 13
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 13
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 17
Number of KKT backsolves                              = 13

Total wall secs in initialization                     =  0.014 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.)  =  0.024 s
Total wall secs                                       =  0.046 s

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