Here comes an unpopular nitpick: "... we traced the issue to a 15-year-old Git function with O(N²) complexity and fixed it with an algorithmic change, reducing backup times exponentially."
Uh no you didn't. Not possible. At most a polynomial reduction is possible else complexity theory needs a re-write.
(OK, yes, k could be doing some heavy lifting here, but I doubt it.)
If you are going to quote a maths formula then please don't use "exponetially" to mean "lots".
I stopped reading there: I don't want to have to read each word and wonder if they actually meant it, or it's just bad hype.
(I don't think that anyone should use "exponentially" that way: it is an art term with a specific and particular meaning, so find another word if you mean something else! Like misusing specific legal or sporting terms...)
"to O(xxx)" is a good idea, in terms of keeping it mathematical and accurate. I like that best. "hugely" makes me giggle, because I really hear "bigly" when I see/hear it.
If you have that tendency, you just need to think of TAOCP, this industry's best distillation of intellectual achievement, with the word "art" in its name.
Uh no you didn't. Not possible. At most a polynomial reduction is possible else complexity theory needs a re-write.
(OK, yes, k could be doing some heavy lifting here, but I doubt it.)
If you are going to quote a maths formula then please don't use "exponetially" to mean "lots".
I stopped reading there: I don't want to have to read each word and wonder if they actually meant it, or it's just bad hype.