Machin-like formulae
M000002
$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{2}{207385}\right)-48\arctan\left(\frac{2}{2513489}\right)+88\arctan\left(\frac{1}{3235259223}\right)$$
Compact formula
332[107] + 68[1710] - 88[207385/2] - 48[2513489/2] + 88[3235259223]
Lehmer's measure
1.27055
References
ASN (17Sep09)
(full reference coming soon)