Machin-like formulae
M000000731
$$\pi=16\arctan\left(\frac{1}{4}\right)-16\arctan\left(\frac{1}{32}\right)-16\arctan\left(\frac{1}{60}\right)-4\arctan\left(\frac{1}{238}\right)+16\arctan\left(\frac{1}{3107}\right)+4\arctan\left(\frac{1}{56883}\right)$$
Compact formula
16[4] - 16[32] - 16[60] - 4[238] + 16[3107] + 4[56883]
Lehmer's measure
3.80515