If you are lucky, it will come back again from someway part up the truck, so don't cut it (all) down yet. It will almost certainly come back from the roots, around the base of the trunk, but you may not see anything until quite late in the summer.

I thought my largest cordilyne had survived, but the growing centre fell off the other day. It still has green leaves on, so I'm hoping that I'll at least keep the trunk. But apparently the grow back very fast when they are large plants.

My small red one didn't even get through last winter, and about 6 shoots appeard around the base late last summer. I was wondering what would happen this time. So far it looks like osme of them are still firm, so maybe being below snow level they have made it through. But we shall see.