Machin-like formulae
M000398
$$\pi=12\arctan\left(\frac{1}{7}\right)+16\arctan\left(\frac{1}{11}\right)-8\arctan\left(\frac{1}{682}\right)$$
Compact formula
12[7] + 16[11] - 8[682]
Lehmer's measure
2.49643
References
STØRMER (1896)
(full reference coming soon)