I prefer directional dynamite
Good for tree stumps, but not for vines. We used to blow stumps in the fields.
I once used a CAT D9 Dozer to take out a 100ft x 200ft bed of ivy, and the underground vines were so thick and dense, the debris pile was 250-300ft long x 30-40ft high, no soil attached. It was massive, by the time we got it all out with backhoes & trackhoes, and we burned it.