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Hello, yes, I'll go back and add some text examples as well.
I put all the example programs in text on the web-demo, though, if you want to see more there! You can copy, read, or modify them there!
https://adam-mcdaniel.net/sage
Thanks for the interesting question! This project started out because I noticed some really interesting properties about compiling brainfuck-like programming languages while writing high level language compilers that targeted these brainfuck-like backends.
This is the work that inspired Sage: Harbor (https://github.com/adam-mcdaniel/harbor). My goal with Sage was to take everything that makes a brainfuck-like programming language easy to compile, while also keeping all the time complexity and optimizations of regular algorithms. So, in that sense, it started out as an attempt to design around a Turing machine -- I wanted this to be a dialect of brainfuck.