Machin-like formulae
M000000562
$$\pi=6\arctan\left(\frac{1}{2}\right)+2\arctan\left(\frac{1}{5}\right)-2\arctan\left(\frac{1}{31}\right)+2\arctan\left(\frac{1}{68}\right)$$
Compact formula
6[2] + 2[5] - 2[31] + 2[68]
Lehmer's measure
5.96883