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Wow, I wonder why Firefox is so much slower? Quantum seems pretty zippy overall, but maybe that's largely due to fast rendering speeds? Does anyone on the Spidermonkey team have some insight?
edit: There also some nice formulae for quick convergence in this article: https://julialang.org/blog/2017/03/piday
Quick proof of this: as the number of terms n in the sum goes to infinity, the ratio of each term to the previous one is approximately 1/4 - the first factor contributes m/(m+1), the second q/(q+2) for some m and q that go to infinity along with n, the third contributes 1/4.
If we counted base 4, then the value of each digit would be on average 1/4 of the previous one, certainly for a normal number like pi. But we count base 10, so we get log_10 4 decimal digits every time we get one base-four digit. Which is very close to 0.6.
bc -l <<< "scale=$n; 4*a(1)"
JS Error `No identifiers allowed directly after numeric literal` when running http://ajennings.net/pi.html on Mac OS Mojave 10.14.6, Safari 12.1.2 (14607.3.9)
On any standard unix system with bc installed - it's preinstalled on most of them, you can calculate pi to $n digits using bc: bc -l <<< "scale=$n; 4*a(1)"