Machin-like formulae
M000000533
$$\pi=8\arctan\left(\frac{1}{3}\right)+4\arctan\left(\frac{1}{7}\right)+8\arctan\left(\frac{1}{13}\right)-8\arctan\left(\frac{1}{23}\right)-8\arctan\left(\frac{1}{30}\right)$$
Compact formula
8[3] + 4[7] + 8[13] - 8[23] - 8[30]
Lehmer's measure
5.58826