M000000124

$$\pi=183\arctan\left(\frac{1}{57}\right)-55\arctan\left(\frac{1}{1023}\right)-89\arctan\left(\frac{1}{5832}\right)+48\arctan\left(\frac{1}{110443}\right)-48\arctan\left(\frac{1}{4841182}\right)-34\arctan\left(\frac{1}{6826318}\right)$$
Compact formula183[57] - 55[1023] - 89[5832] + 48[110443] - 48[4841182] - 34[6826318]
Lehmer's measure1.66150
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 HCL.]