Machin-like formulae
M000000531
$$\pi=12\arctan\left(\frac{1}{3}\right)-8\arctan\left(\frac{1}{23}\right)-8\arctan\left(\frac{1}{30}\right)-4\arctan\left(\frac{1}{38}\right)$$
Compact formula
12[3] - 8[23] - 8[30] - 4[38]
Lehmer's measure
4.14025