Machin-like formulae
M000309
$$\pi=48\arctan\left(\frac{1}{18}\right)+32\arctan\left(\frac{1}{75}\right)+12\arctan\left(\frac{1}{239}\right)+32\arctan\left(\frac{1}{39307}\right)$$
Compact formula
48[18] + 32[75] + 12[239] + 32[39307]
Lehmer's measure
1.96805
References
HCL (26Jan95)(*2.12025)
(full reference coming soon)