Jefffrey opened a new pull request, #10023:
URL: https://github.com/apache/arrow-datafusion/pull/10023

   ## Which issue does this PR close?
   
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   Closes #9573
   
   ## Rationale for this change
   
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    Why are you proposing this change? If this is already explained clearly in 
the issue then this section is not needed.
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   Rather than recursively constructing the initial physical plan from the top 
down, which can lead to stack overflow errors, iteratively construct the plan 
from the bottom up, which is also done concurrently.
   
   ## What changes are included in this PR?
   
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   Split up `create_initial_plan` to do the mapping from `LogicalPlan` to 
`Arc<dyn ExecutionPlan` in a separate function for organization.
   
   In `create_initial_plan` we first DFS the tree to get a flat Vec 
representation, which stores `&LogicalPlan` to not require duplicating the tree 
(this traversal is iterative).
   
   With the flat tree, we can spawn async tasks from the leaves, which will 
attempt to build the individual branches of the trees from the bottom up, 
towards the root.
   
   When these tasks encounter a node with 2 or more children, which represents 
a collision point with other tasks, they append their current tree branch to 
this parent node (which has it's current children branches which are ready 
behind a `Mutex<Vec<_>>` for concurrent safety) and then check if there are 
enough children to build the node. If not, this task terminates forever.
   
   If there are enough children, this means the current task is the last node 
to reach the parent, and can construct the parent and then continue to traverse 
up the parent towards the root.
   
   This continues until the number of tasks reduces to 1 and it emits the root 
of the tree.
   
   ## Are these changes tested?
   
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   ## Are there any user-facing changes?
   
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   No
   
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