User blog comment:PsiCubed2/CURRENT VALUE OF PEGG/@comment-27516045-20170823190417/@comment-30754445-20170823194516

With great difficulty :-)

A few tips to make the calculation a little easier:

1. Do all the calculation with the H function, and convert to Mashimo only in the end.

2. When tracking the progression of H(a,b) for integer a and increasing b, don't calculate the actual value of a unless you need to interpolate. Instead, just write the coefficiants of the powers of b. For example, instead of writing H(2116,7) = H(7^3 * 6 + 7^2 + 7 + 2, 7) just write:

(6,1,7,2)7

(and if b is less then 10, we can even simplify it further to [6172]7)

3. Use mixed fractions rather then decimals for the intermediate calculations. For example, I got:

H(6+63474/2130914,2) = [6172]7 = f3^6(f2(18)) ~ GGGGGG4718592

H(6+63475/2130914,2) = [6173]7 = f3^6(f2(20)) ~ GGGGGG20971520

And since today's value of PEGG is between these two numbers, we have a pretty good idea where it lies on the Mashimo scale (it's between M(49.1702717) and M(49.1702731))