Machin-like formulae
M000056
$$\pi=152\arctan\left(\frac{1}{47}\right)-56\arctan\left(\frac{1}{610}\right)-48\arctan\left(\frac{1}{247057}\right)+24\arctan\left(\frac{1}{740943}\right)+56\arctan\left(\frac{1}{15628852}\right)-28\arctan\left(\frac{1}{54608393}\right)$$
Compact formula
152[47] - 56[610] - 48[247057] + 24[740943] + 56[15628852] - 28[54608393]
Lehmer's measure
1.58112
References
KOEPP (1994)
(full reference coming soon)