@aedt - with that C program I posted and just changing the numbers, I see no 
change in behavior at all: 
    
    
    N  fib(N)       log_2(Fib(N)) WallTime    UsrCPU log_1.618(Tm)
    57 365435256832 38.410825     88.338572   88.29  9.31268150798
    56 225851408384 37.716583     54.570624   54.54  8.31166257771
    55 139583848448 37.022341     33.718429   33.7   7.31112152655
    54 86267559936  36.328100     20.863663   20.85  6.31352254278
    53 53316284416  35.633857     12.885360   12.87  5.31201286047
    52 32951275520  34.939615     7.9617497   7.95   4.31148872869
    51 20365008896  34.245373     4.9201932   4.91   3.31125979281
    50 12586267648  33.551131     3.0422103   3.04   2.31214787174
    49 7778741248   32.856890     1.8785994   1.87   1.31034617400
    48 4807526400   32.162648     1.1626232   1.16   0.31313742467
    47 2971214848   31.468406     0.7182663   0.71  -0.68769978950
    46 1836311680   30.774164     0.4441032   0.44  -1.68685323404
    45 1134903040   30.079922     0.275319635 0.27  -2.68048037749
    

Indeed the fit is basically a perfect straight line: log_1.618(time) = N - 
47.67. The integer is only passed around as an argument. The arithmetic is all 
float32 (or maybe float64 depending on impl). So, to me this is as should be 
expected. I believe that is the case in all your benchmark versions, too. Not 
sure what is going on for you.

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