Machin-like formulae
M000000724
$$\pi=8\arctan\left(\frac{1}{3}\right)+4\arctan\left(\frac{1}{4}\right)-4\arctan\left(\frac{1}{5}\right)+4\arctan\left(\frac{1}{9}\right)-4\arctan\left(\frac{1}{60}\right)+4\arctan\left(\frac{1}{3107}\right)$$
Compact formula
8[3] + 4[4] - 4[5] + 4[9] - 4[60] + 4[3107]
Lehmer's measure
7.08421