Machin-like formulae
M000339
$$\pi=48\arctan\left(\frac{1}{28}\right)+80\arctan\left(\frac{1}{57}\right)-20\arctan\left(\frac{1}{239}\right)+48\arctan\left(\frac{1}{443}\right)$$
Compact formula
48[28] + 80[57] - 20[239] + 48[443]
Lehmer's measure
2.05884
References
ARNDT (1993)
(full reference coming soon)