Machin-like formulae
M000000586
$$\pi=4\arctan\left(\frac{1}{2}\right)+4\arctan\left(\frac{1}{6}\right)+4\arctan\left(\frac{1}{8}\right)+4\arctan\left(\frac{1}{31}\right)$$
Compact formula
4[2] + 4[6] + 4[8] + 4[31]
Lehmer's measure
6.38486