What kind of hand-crafted features do top performing family of engines use to evaluate a position? AlphaZero paper which introduced the engine which allegidly outperformed stockfish mentioned the following:


  These programs evaluate positions using features handcrafted by human
  grandmasters and carefully tuned weights, combined with a
  high-performance alpha-beta search that expands a vast search tree
  using a large number of clever heuristics and domain-specific
  adaptations.


In particular I am interested in a claim about features handcrafted by human
grandmasters. The paper didn't provide any examples, neither it references anything here. To make the question less ambiguous, let's narrow the scope of programs to just a couple of best performing families of engines (stockfish, sugar, komodo, houdini)

So my question is: what kind of hand-crafted features do top performing family of engines use to evaluate a position?
The paper is right. Traditional chess engines use a set of tedious hand-crafted features for positional evaluation.

I'd say nothing surprising, to name a fews (I can't name everything):


Mobility bonus
Outpost bonus
Attack bonus
Rook on the seventh rank
Material advantage
Minor pieces behind pawn



  https://github.com/official-stockfish/Stockfish/blob/master/src/evaluate.cpp


If you take a look at the source code, it's quite complicated. Difficult programming for something that is understood even by chess beginners.

What about replacing the entire file with a deep neural network? Training a network is easier than tweaking those numbers in the file.