Strategy Analysis
There's some people who think analysis takes the fun out of it, but I'm the odd duck that enjoys the analysis more than do the daily puzzle. I also was very interested in brewing, as long as I was upgrading and changing my brewing system, but once I settled on a process, it became less interesting.
Concerning, Wordle, I engaged in a bit of a strategy analysis based on expected frequency of letters and trying to get 'coverage'. I did the same with Nerdle, just for fun. I let it run all last night and have my results:
there are more than 10,000 pairs of equations that include all numbers and all operators.
As proof, I'll post a pair, but to avoid something you might not want to see, I'll put the example in white, at the bottom.
My program was pretty simple...it filled an array of size 9 with integers, dropped-in the equals sign in a random location, then dropped-in operators (or not), as needed. For example an expression of length 3 was half as likely to become [# op #] as it was to remain [# # #]. Then I went through and removed leading and lone zeros by detecting and replacing with random 1 through 9 (leading and lone zeros are not valid as defined by the game). If each side of the equation evaluated to the same number, I kept it, otherwise tossed it.
And a quick running program took all valid equations and paired them with each other, adding up the coverage. To my surprise, there was no shortage of "complete coverage" pairs.
Even with complete coverage in two equations, I had to resort to a spreadsheet to get this in 3. I guess that's cheating.
nerdlegame 18 3/6
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4+2*3=10
96/8-5=7