Machin-like formulae
M000005
$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{1}{105218}\right)-48\arctan\left(\frac{2}{2513489}\right)-88\arctan\left(\frac{1}{7167807}\right)$$
Compact formula
332[107] + 68[1710] - 88[105218] - 48[2513489/2] - 88[7167807]
Lehmer's measure
1.31101
References
MRW (22Sep04)
(full reference coming soon)