"Leap (or jump) to conclusions" is the most common form of the phrase, therefore it is the "most suitable" answer even though it is not the only suitable answer. With leap/jump, the term implies that you are skipping over some middle steps by leaping over them. If you rush through the middle steps, you have not necessarily skipped them entirely.
Sometimes I see "rush to any conclusions" is used as in "The authorities blamed that on the separatist Moro Islamic Liberation Front (MILF). But yesterday they were careful not to rush to conclusions." Guardian