Machin-like formulae
M000154
$$\pi=176\arctan\left(\frac{1}{57}\right)+28\arctan\left(\frac{1}{239}\right)-96\arctan\left(\frac{1}{1435}\right)+48\arctan\left(\frac{1}{12238}\right)+96\arctan\left(\frac{2}{15130261}\right)$$
Compact formula
176[57] + 28[239] - 96[1435] + 48[12238] + 96[15130261/2]
Lehmer's measure
1.69674
References
MRW (2Aug09)(*1.72394)
(full reference coming soon)