Machin-like formulae
M000000525
$$\pi=8\arctan\left(\frac{1}{3}\right)+2\arctan\left(\frac{1}{4}\right)+2\arctan\left(\frac{1}{30}\right)+2\arctan\left(\frac{1}{182}\right)$$
Compact formula
8[3] + 2[4] + 2[30] + 2[182]
Lehmer's measure
4.87632