Apologies ... I should have included a link to Jean-Michel Muller's work
on "Elementary Functions" and on preserving monotonicity and always
getting correctly rounded results when implementing the elementary
functions in floating-point arithmetic.

https://link.springer.com/book/10.1007/978-1-4899-7983-4


Also an interesting read in IEEE Transactions on Computers, Vol 66, Issue 12 : Exponential Sums and Correctly-Rounded Functions.

https://ieeexplore.ieee.org/document/7891945




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