Euphorbia Mellifera frost damage

Is this Euphorbia likely to recover from frost damage?

 

Looks a bit like a "wait and see" to me, some half alive bits at the base, so it might come back from the ground but The top growth looks mostly dead.

 

Thank you. How and when would you advise pruning?

 

Personally apart from a trim up if you think it looks untidy I'd not cut back drastically until you can see new growth and then you can cut back to that.

 

Mine also got pretty badly hammered in December.
Cut all the dead bits back to firm/white stem tissue.
There are a few main stems that remain.
Hopefully it will re-sprout when the weather gets a bit warmer.

I did save some seeds from last year.
So worst case, I will have to start again, but am hoping not.