Machin-like formulae
M000000513
$$\pi=8\arctan\left(\frac{1}{3}\right)+4\arctan\left(\frac{1}{4}\right)-4\arctan\left(\frac{1}{18}\right)-4\arctan\left(\frac{1}{21}\right)$$
Compact formula
8[3] + 4[4] - 4[18] - 4[21]
Lehmer's measure
5.30981