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.............:      350

Total number of variables............................:        4
                     variables with only lower bounds:        2
                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  8.4806324e+04 0.00e+00 1.00e+02 1.00e+00  -1.0     -   0.00e+00  0  0 
   1  7.2452423e+04 0.00e+00 8.38e+01 1.69e-01  -1.0    2.0  1.00e+00  1  1f
   2  5.2376627e+04 0.00e+00 7.48e+01 1.31e-01  -1.0    1.5  1.00e+00  1  1f
   3  4.0361119e+04 0.00e+00 1.34e+03 9.90e-02  -1.0    2.9  1.00e+00  1  1f
   4  3.6757900e+04 0.00e+00 1.85e+03 1.00e-01  -1.0    5.1  1.00e+00  1  1f
   5  3.5641892e+04 0.00e+00 4.10e+03 1.18e-01  -1.0    4.6  2.45e-01  1  2f
   6  1.4457314e+04 0.00e+00 2.03e+03 3.67e-03  -1.0     -   1.00e+00  1  1f
   7  9.3200836e+03 0.00e+00 1.17e+03 1.78e-01  -1.0     -   1.00e+00  1  1f
   8  5.6520854e+03 0.00e+00 6.41e+02 2.72e-02  -1.0     -   1.00e+00  1  1f
   9  3.1216611e+03 0.00e+00 3.34e+02 1.59e-01  -1.0     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.5644750e+03 0.00e+00 1.63e+02 6.52e-02  -1.0     -   1.00e+00  1  1f
  11  6.9131790e+02 0.00e+00 7.49e+01 1.27e-01  -1.0     -   1.00e+00  1  1f
  12  2.5765353e+02 0.00e+00 3.13e+01 9.03e-02  -1.0     -   1.00e+00  1  1f
  13  7.4275131e+01 0.00e+00 1.15e+01 1.01e-01  -1.0     -   1.00e+00  1  1f
  14  1.5137335e+01 0.00e+00 3.30e+00 9.77e-02  -1.0     -   1.00e+00  1  1f
  15  3.8752131e+00 0.00e+00 6.05e-01 9.92e-02  -1.0     -   1.00e+00  1  1f
  16  3.4498205e+00 0.00e+00 2.98e-02 1.82e-02  -1.7     -   1.00e+00  1  1f
  17  3.4476219e+00 0.00e+00 8.59e-05 2.85e-03  -2.5     -   1.00e+00  1  1f
  18  3.4473553e+00 0.00e+00 2.82e-06 1.52e-04  -3.8     -   1.00e+00  1  1f
  19  3.4473546e+00 0.00e+00 8.29e-09 1.85e-06  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  3.4473546e+00 0.00e+00 1.33e-12 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 20

                                   (scaled)                 (unscaled)
Objective...............:   2.4092187367563241e-02    3.4473546190621041e+00
Dual infeasibility......:   1.3282223239582301e-12    1.9005552687190175e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   1.7518532792125019e-11    2.5067294230590826e-09
Overall NLP error.......:   2.5067294230590826e-09    2.5067294230590826e-09

Number of objective function evaluations              = 26
Number of objective gradient evaluations              = 21
Number of constraint evaluations                      = 26
Number of constraint Jacobian evaluations             = 21
Number of Lagrangian Hessian evaluations              = 20
Number of KKT factorizations                          = 33
Number of KKT backsolves                              = 24

Total wall secs in initialization                     =  0.013 s
Total wall secs in linear solver                      =  0.009 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.019 s
Total wall secs                                       =  0.043 s

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