>Is the algorithm itself actually available somewhere?
https://www.rarlab.com/rar_add.htm
The source has the following restriction:
UnRAR source code may be used in any software to handle
RAR archives without limitations free of charge, but cannot be
used to develop RAR (WinRAR) compatible archiver and to
re-create RAR compression algorithm, which is proprietary.
Distribution of modified UnRAR source code in separate form
or as a part of other software is permitted, provided that
full text of this paragraph, starting from "UnRAR source code"
words, is included in license, or in documentation if license
is not available, and in source code comments of resulting package.