Machin-like formulae
M000000530
$$\pi=16\arctan\left(\frac{1}{3}\right)-16\arctan\left(\frac{1}{21}\right)-16\arctan\left(\frac{1}{23}\right)-16\arctan\left(\frac{1}{30}\right)-4\arctan\left(\frac{1}{239}\right)$$
Compact formula
16[3] - 16[21] - 16[23] - 16[30] - 4[239]
Lehmer's measure
4.68401