Replaying the sampled tokens lowers the gap Mean absolute difference between the engine and trainer log probabilities, per step, for 12 steps with seed 1. Median 0.0153 with the full vocabulary and 0.0135 with top-p and top-k replay. 0.012 0.013 0.014 0.015 0.016 0 3 6 9 11 step logprob gap, mean absolute difference full vocabulary top-p 0.95, top-k 64, replayed Median gap 0.0153 to 0.0135, about 12 percent lower. One seed.