Machin-like formulae
M000113
$$\pi=76\arctan\left(\frac{1}{24}\right)-16\arctan\left(\frac{1}{882}\right)-36\arctan\left(\frac{1}{6948}\right)+4\arctan\left(\frac{1}{50912}\right)+4\arctan\left(\frac{1}{983133543}\right)$$
Compact formula
76[24] - 16[882] - 36[6948] + 4[50912] + 4[983133543]
Lehmer's measure
1.64798
References
HCL (13Jun04)(*1.72201)
(full reference coming soon)