Except they are exactly right!
A good comparison is CCP (conditional copy propagation) vs SCCP (sparse CCP) - the SCCP version is naturally flow-sensitive (that's a property of SSA form), so it can eliminate entire branches, leading to more dead code being eliminated.
int x = ...
if(x > 0) {
use(x)
else {
use(x)
}
In a DFA where you track information about each variable at each program point, you could push the constraint implied by the condition into each branch. If you do a sparse analysis on SSA form, that doesn't come naturally, right? x1 = ...
if (x1 > 0) {
x2 = pi(x1 & RANGE[1..])
use(x2)
} else {
x3 = pi(x1 & RANGE[..0])
use(x3)
}
x4 = phi(x2, x3) // if used
I have placed the pi nodes in the blocks, but semantically they are placed along the control edge.Ref e.g. e-SSA in the ABCD value range inference algorithm.