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.............:     1653

Total number of variables............................:       57
                     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...............:        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  1.2738776e+05 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.1331104e+05 0.00e+00 9.87e+01 0.00e+00  -1.0    4.0  1.00e+00  1  1f
   2  7.0008235e+04 0.00e+00 8.78e+01 0.00e+00  -1.0    3.5  1.00e+00  1  1f
   3  5.0110775e+03 0.00e+00 3.02e+01 0.00e+00  -1.0    3.0  1.00e+00  1  1f
   4  2.1007740e+02 0.00e+00 7.45e+00 0.00e+00  -1.0    2.6  1.00e+00  1  1f
   5  2.0411974e+00 0.00e+00 7.36e-01 0.00e+00  -1.0    2.1  1.00e+00  1  1f
   6  3.5551703e-03 0.00e+00 3.04e-02 0.00e+00  -1.7    1.6  1.00e+00  1  1f
   7  8.1797285e-07 0.00e+00 4.57e-04 0.00e+00  -2.5    1.1  1.00e+00  1  1f
   8  2.1735936e-11 0.00e+00 2.34e-06 0.00e+00  -5.7    0.7  1.00e+00  1  1f
   9  6.4760857e-17 0.00e+00 4.03e-09 0.00e+00  -8.6    0.2  1.00e+00  1  1f

Number of Iterations....: 9

                                   (scaled)                 (unscaled)
Objective...............:   2.3736642940303983e-20    6.4760856586669907e-17
Dual infeasibility......:   4.0299510333226290e-09    1.0994944886547916e-05
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.4770883800289023e-12    4.0299510333226290e-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                          = 22
Number of KKT backsolves                              = 9

Total wall secs in initialization                     =  0.012 s
Total wall secs in linear solver                      =  0.009 s
Total wall secs in NLP function evaluations           =  0.015 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.006 s
Total wall secs                                       =  0.042 s

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