Machin-like formulae
M000226
$$\pi=64\arctan\left(\frac{1}{21}\right)+12\arctan\left(\frac{1}{239}\right)+16\arctan\left(\frac{1}{343}\right)-16\arctan\left(\frac{1}{27493}\right)$$
Compact formula
64[21] + 12[239] + 16[343] - 16[27493]
Lehmer's measure
1.79645
References
MATSUMOTO (1996)(*1.86105)
(full reference coming soon)