Machin-like formulae
M000000725
$$\pi=16\arctan\left(\frac{1}{4}\right)-16\arctan\left(\frac{1}{32}\right)-16\arctan\left(\frac{1}{60}\right)-4\arctan\left(\frac{1}{252}\right)+16\arctan\left(\frac{1}{3107}\right)-4\arctan\left(\frac{1}{4633}\right)$$
Compact formula
16[4] - 16[32] - 16[60] - 4[252] + 16[3107] - 4[4633]
Lehmer's measure
3.86328