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.............:      240

Total number of variables............................:        4
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        4
                     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  1.0512683e+05 0.00e+00 1.00e+02 9.80e+01  -1.0     -   0.00e+00  1  0 
   1  1.0484744e+05 0.00e+00 1.00e+02 9.90e-01  -1.0    4.0  1.00e+00  1  1f
   2  1.0400879e+05 0.00e+00 1.00e+02 1.00e-01  -1.0    3.5  1.00e+00  1  1f
   3  1.0150161e+05 0.00e+00 9.80e+01 1.00e-01  -1.0    3.0  1.00e+00  1  1f
   4  9.4408902e+04 0.00e+00 7.43e+01 1.00e-01  -1.0    2.6  1.00e+00  1  1f
   5  7.9665306e+04 0.00e+00 6.78e+01 1.00e-01  -1.0    2.1  1.00e+00  1  1f
   6  6.7320189e+04 0.00e+00 4.12e+02 1.00e-01  -1.0    1.6  5.00e-01  1  2f
   7  5.6709807e+04 0.00e+00 5.07e+02 1.00e-01  -1.0    3.8  1.00e+00  1  1f
   8  3.2745695e+04 0.00e+00 3.37e+02 1.00e-01  -1.0    3.4  1.00e+00  1  1f
   9  2.5541843e+04 0.00e+00 2.71e+02 1.05e-01  -1.0     -   3.19e-01  1  2f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.9419550e+04 0.00e+00 1.58e+01 1.42e-01  -1.0     -   1.00e+00  1  1f
  11  1.6362959e+04 0.00e+00 3.77e+01 1.18e-01  -1.0     -   7.93e-02  1  3f
  12  1.2050249e+04 0.00e+00 7.26e+01 1.55e-01  -1.0     -   1.00e+00  1  1f
  13  7.0722255e+03 0.00e+00 2.12e+01 1.00e-01  -1.0     -   1.00e+00  1  1f
  14  5.1926389e+03 0.00e+00 1.45e+02 1.10e-01  -1.0     -   1.00e+00  1  1f
  15  1.0644886e+03 0.00e+00 6.42e+01 1.03e-01  -1.0     -   1.00e+00  1  1f
  16  1.4151005e+02 0.00e+00 3.73e+01 1.31e-01  -1.0     -   3.34e-01  1  2f
  17  1.5274965e+00 0.00e+00 9.47e-01 1.00e-01  -1.0     -   1.00e+00  1  1f
  18  1.6966812e-03 0.00e+00 8.80e-02 2.08e-02  -1.7     -   1.00e+00  1  1f
  19  4.4828730e-05 0.00e+00 3.15e-05 2.83e-03  -2.5     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  1.2600329e-07 0.00e+00 1.90e-06 1.51e-04  -3.8     -   1.00e+00  1  1f
  21  1.8912391e-11 0.00e+00 5.79e-09 1.85e-06  -5.7     -   1.00e+00  1  1f
  22  3.4868645e-17 0.00e+00 1.01e-12 2.51e-09  -8.6     -   1.00e+00  1  1f

Number of Iterations....: 22

                                   (scaled)                 (unscaled)
Objective...............:   1.6141937385717026e-19    3.4868644964334770e-17
Dual infeasibility......:   1.0063184031240277e-12    2.1737761881455459e-10
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   1.1601375393520607e-11    2.5060451544842281e-09
Overall NLP error.......:   2.5060451544842281e-09    2.5060451544842281e-09

Number of objective function evaluations              = 44
Number of objective gradient evaluations              = 23
Number of constraint evaluations                      = 44
Number of constraint Jacobian evaluations             = 23
Number of Lagrangian Hessian evaluations              = 22
Number of KKT factorizations                          = 38
Number of KKT backsolves                              = 39

Total wall secs in initialization                     =  0.010 s
Total wall secs in linear solver                      =  0.036 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.048 s
Total wall secs                                       =  0.097 s

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