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.............:       40

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  2.6480000e+03 0.00e+00 1.00e+02 2.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.5104637e+03 0.00e+00 9.87e+01 1.09e-01  -1.0    4.0  1.00e+00  1  1f
   2  2.1249682e+03 0.00e+00 9.44e+01 1.00e-01  -1.0    3.5  1.00e+00  1  1f
   3  1.2217223e+03 0.00e+00 7.88e+01 9.99e-02  -1.0    3.0  1.00e+00  1  1f
   4  1.9586191e+02 0.00e+00 3.40e+01 9.97e-02  -1.0    2.6  1.00e+00  1  1f
   5  3.9086018e+01 0.00e+00 3.73e+00 9.99e-02  -1.0    2.1  1.00e+00  1  1f
   6  3.7437065e+01 0.00e+00 2.04e-01 1.00e-01  -1.0    1.6  1.00e+00  1  1f
   7  3.7431454e+01 0.00e+00 4.69e-03 2.00e-02  -1.7    1.1  1.00e+00  1  1f
   8  3.7431447e+01 0.00e+00 5.83e-05 1.51e-04  -3.8    0.7  1.00e+00  1  1f
   9  3.7431447e+01 0.00e+00 1.61e-06 1.84e-06  -5.7    1.1  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  3.7431447e+01 0.00e+00 1.27e-08 2.51e-09  -8.6    0.6  1.00e+00  1  1f
  11  3.7431447e+01 0.00e+00 1.22e-08 9.09e-10  -9.0    1.0  6.25e-02  1  5f
  12  3.7431447e+01 0.00e+00 7.27e-11 9.09e-10  -9.0    0.6  1.00e+00  1  1f

Number of Iterations....: 12

                                   (scaled)                 (unscaled)
Objective...............:   1.0682490496363088e+00    3.7431446699256284e+01
Dual infeasibility......:   7.2671143649155486e-11    2.5463968734664097e-09
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   2.5944375259443744e-11    9.0909090909090931e-10
Overall NLP error.......:   9.0909090909090931e-10    9.0909090909090931e-10

Number of objective function evaluations              = 21
Number of objective gradient evaluations              = 13
Number of constraint evaluations                      = 21
Number of constraint Jacobian evaluations             = 13
Number of Lagrangian Hessian evaluations              = 12
Number of KKT factorizations                          = 30
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.020 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.020 s
Total wall secs                                       =  0.053 s

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