Optimizer logical trees: Order of the different tree types? Based on observing output from Traceflags 8605, 8606 and 8607 (and comments from i-one), I have this as the order in which the logical trees are generated.

Converted
Input
Simplified
Join-Collapsed
Before Project Normalization
After Project Normalization
Output

Outside of the ordering of Converted and Simplified, I have not however found independent verification that my assessment is correct.
Is this the correct order?
Yes that is the correct order.