That only really compares posits to Float16 in a domain where the paper admits roundoff error mostly isn't really an issue even at single precision.
I'd be much more interested to see how these handle stiff systems with multiple time constants. That's a domain where everything has problems and improvement is going to actually move some things from completely infeasible to actually simulatable.
That's a much stronger use case. And you don't have to worry about implementation efficiency since the improvement ratio is "infinity"--you went from can't do it at all to actually being able to do it.
I'd be much more interested to see how these handle stiff systems with multiple time constants. That's a domain where everything has problems and improvement is going to actually move some things from completely infeasible to actually simulatable.
That's a much stronger use case. And you don't have to worry about implementation efficiency since the improvement ratio is "infinity"--you went from can't do it at all to actually being able to do it.