Machin-like formulae
M000000523
$$\pi=8\arctan\left(\frac{1}{2}\right)-4\arctan\left(\frac{1}{9}\right)-4\arctan\left(\frac{1}{27}\right)+4\arctan\left(\frac{1}{173}\right)$$
Compact formula
8[2] - 4[9] - 4[27] + 4[173]
Lehmer's measure
5.51533