it isn't a rerecording, just the radio version that contains an extra chorus and a different drum fill intro. the production is a bit different too, but it's still all the same source recordings used on the album. the official title is "Mix 2001" and it was edited/re-produced by Alan Moulder.
I'm more interested in that Army recording. I hear elements of that track across both Mer De Noms and 13th Step. Curious about the Ashes Divide reference.