M000000002

$$\pi=332\arctan\left(\frac{1}{107}\right)+68\arctan\left(\frac{1}{1710}\right)-88\arctan\left(\frac{2}{207385}\right)-48\arctan\left(\frac{2}{2513489}\right)+88\arctan\left(\frac{1}{3235259223}\right)$$
Compact formula332[107] + 68[1710] - 88[207385/2] - 48[2513489/2] + 88[3235259223]
Lehmer's measure1.27055
References
Wetherfield, Michael Roby and Chien-Lih, Hwang. Computing pi: Lists of Machin-type (inverse cotangent) identities for pi/4, [Online; accessed 04-February-2024], 2013. [web.archive.org/web/20240204042153/http] [Found by Amrik Singh Nimbran on 17 September 2009.]