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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        5

Total number of variables............................:        3
                     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...............:        1
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        1
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  4.0100000e+00 7.00e+00 1.60e+01 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  4.0099992e+00 7.00e+00 2.40e-04 1.00e-06  -1.0     -   1.00e-07  1  2h
   2  9.9501869e-03 3.06e+00 3.00e-07 1.00e-06  -1.0     -   1.00e+00  9  1h
   3  9.0212790e-03 3.40e+00 6.26e-06 1.00e-06  -1.0   -4.0  2.50e-01  2  3h
   4  4.8463721e-03 4.36e+00 6.24e-07 1.00e-06  -1.0   -4.5  1.00e+00  2  1h
   5  2.7592151e-02 2.35e+00 1.28e-05 1.00e-06  -1.0   -5.0  1.00e+00  2  1h
   6  6.8454765e-04 2.25e+01 1.86e-06 1.00e-06  -1.0   -5.4  1.00e+00  2  1h
   7  5.2251988e-04 1.73e+01 1.51e-06 1.00e-06  -1.0   -5.9  2.50e-01  2  3h
   8  9.9715357e-05 4.87e+00 7.04e-07 1.00e-06  -1.0     -   1.00e+00 10  1h
   9  2.0686332e-04 1.99e+00 7.17e-07 1.00e-06  -1.0     -   1.00e+00 10  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.3398943e-03 1.84e+00 1.99e-06 1.00e-06  -1.0   -6.4  2.50e-01  2  3h
  11  4.1901444e-03 1.64e+00 2.30e-06 1.00e-06  -1.0   -6.9  2.50e-01  2  3h
  12  1.6952628e+00 1.64e+00 3.88e-05 1.00e-06  -1.0     -   1.00e+00 10  1h
  13  2.4568676e-02 5.50e-01 2.19e-06 1.00e-06  -1.0     -   1.00e+00  7  1h
  14  6.3925488e-02 4.87e-02 4.22e-05 1.00e-06  -1.7     -   1.00e+00 10  1h
  15  3.9830843e-02 6.14e-03 8.14e-06 1.00e-06  -2.5     -   1.00e+00  2  1h
  16  3.9972775e-02 8.73e-04 1.11e-05 1.00e-06  -3.8     -   1.00e+00  1  1h
  17  3.9992324e-02 1.92e-04 7.57e-07 1.00e-06  -5.7     -   1.00e+00  2  1h
  18  4.0000000e-02 1.16e-12 1.20e-07 1.00e-06  -5.7     -   1.00e+00  2  1h
  19  4.0000000e-02 4.95e-17 2.15e-14 2.71e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   3.9999999999913334e-02    3.9999999999913334e-02
Dual infeasibility......:   2.1461998844785057e-14    2.1461998844785057e-14
Constraint violation....:   4.9477617136737641e-17    4.9477617136737641e-17
Complementarity.........:   2.7053606087689028e-09    2.7053606087689028e-09
Overall NLP error.......:   2.7053606087689028e-09    2.7053606087689028e-09

Number of objective function evaluations              = 32
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 32
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 26
Number of KKT backsolves                              = 135

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.055 s
Total wall secs in NLP function evaluations           =  0.005 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.029 s
Total wall secs                                       =  0.103 s

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