Machin-like formulae
M000074
$$\pi=332\arctan\left(\frac{1}{239}\right)+1328\arctan\left(\frac{1}{580}\right)-928\arctan\left(\frac{1}{1710}\right)+576\arctan\left(\frac{1}{105218}\right)-48\arctan\left(\frac{2}{2513489}\right)+576\arctan\left(\frac{1}{7167807}\right)$$
Compact formula
332[239] + 1328[580] - 928[1710] + 576[105218] - 48[2513489/2] + 576[7167807]
Lehmer's measure
1.60057
References
ASN (3Aug09)
(full reference coming soon)