These fine trains compute the constant e by long division, using the Taylor expansion factored as (...(((1 / n + 1) / (n - 1) + 1) / (n - 2) + 1)...)/2 + 2.

This simulation demonstrates that the algorithm is indeed parallelizable using a locking protocol which keeps the trains from crashing. This has been used to compute e to ten million digits in one-sixth the time of the single-threaded version, using spinlocks since the threads naturally keep some distance.




*

* Note that log10(N!) must be greater than the number of segments times the number of stations for the computation to converge.