Machin-like formulae
M000000504
$$\pi=16\arctan\left(\frac{1}{4}\right)-16\arctan\left(\frac{1}{21}\right)+4\arctan\left(\frac{1}{41}\right)-8\arctan\left(\frac{1}{70}\right)$$
Compact formula
16[4] - 16[21] + 4[41] - 8[70]
Lehmer's measure
3.57929