M000000203

$$\pi=176\arctan\left(\frac{1}{75}\right)+204\arctan\left(\frac{1}{239}\right)-48\arctan\left(\frac{1}{682}\right)+96\arctan\left(\frac{1}{12943}\right)+176\arctan\left(\frac{1}{39307}\right)$$
Compact formula176[75] + 204[239] - 48[682] + 96[12943] + 176[39307]
Lehmer's measure1.76749
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 28 October 2004.]