Machin-like formulae
M000203
$$\pi=176\arctan\left(\frac{1}{75}\right)+204\arctan\left(\frac{1}{239}\right)-48\arctan\left(\frac{1}{682}\right)+96\arctan\left(\frac{1}{12943}\right)+176\arctan\left(\frac{1}{39307}\right)$$
Compact formula
176[75] + 204[239] - 48[682] + 96[12943] + 176[39307]
Lehmer's measure
1.76749
References
MRW (28Oct04)(*1.91969)
(full reference coming soon)