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.............:       12

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        2
                     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  1.3421000e+04 0.00e+00 1.00e+02 5.50e+01  -1.0     -   0.00e+00  0  0 
   1  6.9973723e+02 0.00e+00 3.51e+01 2.38e+00  -1.0    2.0  1.00e+00  1  1f
   2  3.8284417e+01 0.00e+00 7.80e+00 1.12e-01  -1.0    1.5  1.00e+00  1  1f
   3  7.0276669e+00 0.00e+00 2.09e+00 1.00e-01  -1.0     -   1.00e+00  1  1f
   4  6.8080079e-01 0.00e+00 6.09e-01 1.00e-01  -1.0     -   1.00e+00  1  1f
   5  1.5728737e-02 0.00e+00 9.02e-02 2.02e-02  -1.7     -   1.00e+00  1  1f
   6  1.2907620e-05 0.00e+00 2.70e-03 2.83e-03  -2.5     -   1.00e+00  1  1f
   7  5.4864342e-11 0.00e+00 2.34e-06 1.50e-04  -3.8     -   1.00e+00  1  1f
   8  1.4036513e-14 0.00e+00 2.69e-13 1.84e-06  -5.7     -   1.00e+00  1  1f
   9  2.5895913e-20 0.00e+00 8.79e-15 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   1.5195348820085445e-22    2.5895913459189615e-20
Dual infeasibility......:   8.7920745660629815e-15    1.4983453475484533e-12
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   1.4704286521872660e-11    2.5059045090575388e-09
Overall NLP error.......:   2.5059045090575388e-09    2.5059045090575388e-09

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 10
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 10
Number of Lagrangian Hessian evaluations              = 9
Number of KKT factorizations                          = 14
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.004 s
Total wall secs in NLP function evaluations           =  0.001 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.032 s

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