essentially Machin's formula, but reorganized for symmetrypic.twitter.com/JCKXRVZGkq
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somewhat relatedly: to compute the item on the left, it's likely that there's a logarithm involved in the implementation, but you now longer have to be dependent on specifying pi out to some number of digits in the headers/constantspic.twitter.com/8Kmdl83KpU
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