The scoring system for this is incremental which is the opposite of golf.
A proper scoring system with this would provide a character limit (par) for each section and the goal would be to write a shorter regex formula to complete the task. Final score would be how many characters under or over the total character limits (course par) you scored.
Seems this is more like Regex Darts or something like that.
But it's fun nonetheless.
The title was (most probably) derived from Code Golf, which is a competition in coding something with as few characers as possible. Code Golf was derived from Golf, where you want to use as few turns as possible.
The score going up and not down, which is done because you get more points the more objectives you fulfill, does not change the objective of this game or what it is based on.
Golf scoring penalizes you with more "points" by how many strokes you take.
If you are playing a Par 4 and it takes you 6 swings to get in the cup you just got _penalized_ +2
If your partner gets in the cup in 2 swings he is awarded -2
Therefor "Regex Golf" has its scoring reversed
This game is the opposite, meaning the higher the score the better.
This has nothing to do with the objectives of the games in question, just the scoring method.
To make the sport of golf have a similar scoring system as this game you would grant ten points for every stroke under par, deduct ten points for every stroke over par, and deduct one point for every penalty stroke.
Regex golf is to code golf as paintball golf is to normal golf. Or something.