Machin-like formulae
M000167
$$\pi=176\arctan\left(\frac{1}{58}\right)+28\arctan\left(\frac{1}{239}\right)-16\arctan\left(\frac{1}{3307}\right)-48\arctan\left(\frac{1}{12238}\right)-96\arctan\left(\frac{1}{97643}\right)$$
Compact formula
176[58] + 28[239] - 16[3307] - 48[12238] - 96[97643]
Lehmer's measure
1.71671
References
MRW (18Aug94)
(full reference coming soon)