I remember doing a sim training module involving an engine failure on a contaminated runway, about 4 secs after pressing TOGA: the power was a goodly part of maximum but we were only doing 30-40Kts. Even though we had briefed and were expecting it, it was a big job to remain on the paved surface.
The critical point seemed to be in retarding the thrust levers as quickly as possible - any delay and you were in the weeds.