M000000047

$$\pi=684\arctan\left(\frac{1}{239}\right)+96\arctan\left(\frac{2}{1511}\right)+752\arctan\left(\frac{1}{4443}\right)-704\arctan\left(\frac{2}{86161}\right)-176\arctan\left(\frac{1}{740943}\right)-352\arctan\left(\frac{1}{5926518}\right)$$
Compact formula684[239] + 96[1511/2] + 752[4443] - 704[86161/2] - 176[740943] - 352[5926518]
Lehmer's measure1.57583
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 MRW on 01 July 2010.]