Machin-like formulae
M000337
$$\pi=48\arctan\left(\frac{1}{18}\right)+32\arctan\left(\frac{1}{73}\right)+12\arctan\left(\frac{1}{239}\right)-32\arctan\left(\frac{1}{2943}\right)$$
Compact formula
48[18] + 32[73] + 12[239] - 32[2943]
Lehmer's measure
2.04205
References
ARNDT (1993)(*2.12025)
(full reference coming soon)