Question: Is this thing called Interval Math? Can Maple do it?

Is this thing called Interval Math? Can Maple do it? Is this thing called Interval Math? Can Maple do it? I am not about if this is called Interval Analysis. The thing in my mind is that I know my Monte Carlo simulation yields a result with an error tolerance of 1e-5. And I wrap that MC simulation component into a more complicated expression and form a function, I want to know the error bound of the whole function involving the MC component. Can Maple do this? The same applies to analysis about round-off error. If I know a sub-expression has a round-off error of 1e-6, what should the error of the main expression involving this sub-expression be? Thanks!
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