Priest & Shewchuk:
non-overlapping term number representation example.

Example: 3 bit floating point arithmetic.

a = 11
b = 1.01
a+b = 100.01 exact, 100 rounded.

Fast-Two-Sum (11, 1.01)

x = a + b x = 11 + 1.01 = 100 rounded
bv = x - a bv = 100 - 11 = 1
y = b + bv y = 1.01 - 1 = 0.01
(x,y) (100, 0.01) = 100.01