Hi Ian,
regarding commutativity/associativity I think this ML discussion
<https://lists.apache.org/thread.html/r68b60538222d01a3cf065e44f8dbad7c23d042350d9cd6b7b52ee811%40%3Cdev.calcite.apache.org%3E>
could
be relevant and it has some pointers.

For what concerns decorrelation, I think that most of Calcite's code relies
on subqueries being decorrelated, like in the example you have cited.
I recall some ML discussions where this topic has been elaborated but I
can't find any right now.

Best regards,
Alessandro

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