gistfile1.txt

> ruby test_fact.rb
> rails runner test_fact.rb  #from a fresh rails app
> rails runner test_fact.rb #from a mature rails app

here are the respective results:

                 user     system      total        real  # ruby
recursive:    8.660000   0.040000   8.700000 (  8.888191)
iterative:      6.770000   0.030000   6.800000 (  6.892491)
functional:   6.240000   0.030000   6.270000 (  6.334801)

                 user     system      total        real # rails_f
recursive:   10.140000   0.070000  10.210000 ( 10.760008)
iterative:      8.750000   0.050000   8.800000 (  9.050677)
functional:   8.200000   0.040000   8.240000 (  8.477966)

                 user     system      total        real # rails_m
recursive:   17.400000   0.170000  17.570000 ( 17.792121)
iterative:   15.730000   0.140000  15.870000 ( 16.233311)
functional:  15.450000   0.160000  15.610000 ( 16.245557)