Machin-like formulae
M000176
$$\pi=176\arctan\left(\frac{1}{57}\right)+28\arctan\left(\frac{1}{239}\right)-96\arctan\left(\frac{1}{1432}\right)+48\arctan\left(\frac{1}{12238}\right)+96\arctan\left(\frac{1}{628103}\right)$$
Compact formula
176[57] + 28[239] - 96[1432] + 48[12238] + 96[628103]
Lehmer's measure
1.72393
References
HCL (12Oct97)
(full reference coming soon)