
You are at RD <=0 depths and you have to decide whether to do a full eval or just a quick lazy one.
What you want to know is: when doing a full eval at this point can the current_material score + safety_margin (LE) bring the value above ALPHA or not. If not return material score + safety_margin, else full eval.
That's the basic idea.
And it's full of dangers when the safety_margin is small (say 0.50) or not effective when the safety_margin is large (say 5.00).
And yet there is an easy solution. I am using 0.50 myself and can do that because I keep track of the difference between material_score and the eval_score of RD+1. And that value is simply added to current_material score (the green above) when doing LE and thus overcoming the problems with large eval scores.
Think about the logic behind, basically you are saying: 0.50 is a reasonable compromise the evaluation will increase compared to the previous one (RD+1).
========
The thing I have how LE is described on the CPW is involving BETA as well. I recently I have tried it anyway and as expected it did not work. It may differ from engine to engine and the search techniques involved but doing BETA-LE is asking for researches.