User blog comment:Chronolegends/improved Egg Notation - Analysis/@comment-28606698-20170427070833/@comment-30754445-20170427170505

Deedlit once made a notation that has only two kinds of brackets (two colors of "eggs") which reached all the way to the BHO.

What's even more surprising is that the rules of his notation are relatively short.

And the wiki member Emlightened/εmli did a similar thing with a single kind of bracket (one kind of "egg") that reaches ε₀. It seems to be very similar to the end result of the "dollar function" rules you've posted here.