Machin-like formulae
M000000553
$$\pi=4\arctan\left(\frac{1}{2}\right)+4\arctan\left(\frac{1}{4}\right)+4\arctan\left(\frac{1}{23}\right)+4\arctan\left(\frac{1}{30}\right)$$
Compact formula
4[2] + 4[4] + 4[23] + 4[30]
Lehmer's measure
6.39424