Machin-like formulae
M000009107
$$\pi=8\arctan\left(\frac{1}{2}\right)+4\arctan\left(\frac{1}{4}\right)-8\arctan\left(\frac{1}{5}\right)+4\arctan\left(\frac{1}{18}\right)-4\arctan\left(\frac{1}{21}\right)$$
Compact formula
8[2] + 4[4] - 8[5] + 4[18] - 4[21]
Lehmer's measure
7.96651