Machin-like formulae
M000003
$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{2}{207459}\right)-48\arctan\left(\frac{2}{2513489}\right)-88\arctan\left(\frac{1}{319401521}\right)$$
Compact formula
332[107] + 68[1710] - 88[207459/2] - 48[2513489/2] - 88[319401521]
Lehmer's measure
1.28297
References
MRW (26Sep09)
(full reference coming soon)