Machin-like formulae
M000000514
$$\pi=16\arctan\left(\frac{1}{4}\right)-16\arctan\left(\frac{1}{21}\right)-4\arctan\left(\frac{1}{408}\right)-4\arctan\left(\frac{1}{577}\right)$$
Compact formula
16[4] - 16[21] - 4[408] - 4[577]
Lehmer's measure
3.16247