berkaysynnada commented on PR #17684:
URL: https://github.com/apache/datafusion/pull/17684#issuecomment-3316177281

   ```
   DataFusion CLI v50.0.0
   > WITH source AS (
       SELECT
           1 AS n,
           '' AS a1, '' AS a2, '' AS a3, '' AS a4, '' AS a5, '' AS a6, '' AS 
a7, '' AS a8,
           '' AS a9, '' AS a10, '' AS a11, '' AS a12, '' AS a13, '' AS a14, '' 
AS a15, '' AS a16,
           '' AS a17, '' AS a18, '' AS a19, '' AS a20, '' AS a21, '' AS a22, '' 
AS a23, '' AS a24,
           '' AS a25, '' AS a26, '' AS a27, '' AS a28, '' AS a29, '' AS a30, '' 
AS a31, '' AS a32,
           '' AS a33, '' AS a34, '' AS a35, '' AS a36, '' AS a37, '' AS a38, '' 
AS a39, '' AS a40
   )
   SELECT
       sum(n) OVER (PARTITION BY
           a1, a2, a3, a4
       )
   FROM source;
   
+----------------------------------------------------------------------------------------------------------------------------------+
   | sum(source.n) PARTITION BY [source.a1, source.a2, source.a3, source.a4] 
ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING |
   
+----------------------------------------------------------------------------------------------------------------------------------+
   | 1                                                                          
                                                      |
   
+----------------------------------------------------------------------------------------------------------------------------------+
   1 row(s) fetched. 
   Elapsed 0.039 seconds.
   
   > WITH source AS (
       SELECT
           1 AS n,
           '' AS a1, '' AS a2, '' AS a3, '' AS a4, '' AS a5, '' AS a6, '' AS 
a7, '' AS a8,
           '' AS a9, '' AS a10, '' AS a11, '' AS a12, '' AS a13, '' AS a14, '' 
AS a15, '' AS a16,
           '' AS a17, '' AS a18, '' AS a19, '' AS a20, '' AS a21, '' AS a22, '' 
AS a23, '' AS a24,
           '' AS a25, '' AS a26, '' AS a27, '' AS a28, '' AS a29, '' AS a30, '' 
AS a31, '' AS a32,
           '' AS a33, '' AS a34, '' AS a35, '' AS a36, '' AS a37, '' AS a38, '' 
AS a39, '' AS a40
   )
   SELECT
       sum(n) OVER (PARTITION BY
           a1, a2, a3, a4, a5
       )
   FROM source;
   
+---------------------------------------------------------------------------------------------------------------------------------------------+
   | sum(source.n) PARTITION BY [source.a1, source.a2, source.a3, source.a4, 
source.a5] ROWS BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING |
   
+---------------------------------------------------------------------------------------------------------------------------------------------+
   | 1                                                                          
                                                                 |
   
+---------------------------------------------------------------------------------------------------------------------------------------------+
   1 row(s) fetched. 
   Elapsed 0.018 seconds.
   ```
   
   I missed the case where there are no ordering constraints. In that scenario, 
ordering_satisfy() returns true for nearly all combinations, so we were still 
keeping O(4^n) orderings despite pruning. I've now updated the approach as 
greedy.
   1) For each partition column, try 4 sort options and pick the first that 
works
   2) Move to the next column only with the chosen option
   3) Stop immediately if any column has no valid option
   
   Can you check this updated version @findepi ?


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