(Sorry, this is more for the folks who aren't familiar with this, since it seems like you are familiar, but I didn't want it to seem like this isn't widely supported when they read "legacy" or "some platforms")
Here is a good toy examples that runs into the same numbers shown in the parent, showing the two different instruction types, and that long double can give you the correct answer, while still being run in hardware, vs. going all the way to float128s which are currently emulated in software!
Code w/ Assembly: https://godbolt.org/z/W3ZmqJ Output: https://onlinegdb.com/Sy_I3Q1ME