Interval Analysis
Try to find the interval that contains the computational result
- x is in [0,0.5], y is in [0.4,0.45] then x+y is in [0.4, 0.95]
- x is in [1,1.1] then Exp(x) is in [e,e1,1]
- x is in [0,Pi] then Cos(x) is in [-1,1]
Easy for monotonic mapping (x>y implies f(x)>f(y))
Harder for non monotonic mapping