jonathanc-n opened a new issue, #20766:
URL: https://github.com/apache/datafusion/issues/20766

   ### Is your feature request related to a problem or challenge?
   
   In #15265 brings up that we do not really use NDVs or `distinct_count` 
anywhere in the code. However, it will become more practical after #19957 is 
merged. 
   
   An optimization that uses `distinct_count` can be shown here: 
https://github.com/apache/datafusion/pull/20731 
   
   ### Describe the solution you'd like
   
   I looked into Trino/Spark and added a list of optimizations that can be made 
with this statistic:
    - Changing equality filter selectivity from `1/(max - min + 1)` to 
`1/distinct_count`
    - Semi/anti join selectivity calculations
    - Multi-join column selectivity with decay
    - Choose hash key with high NDV for better spread (maybe reject low NDV 
columns to avoid skew) - very good for distributed datafusion
    - Possibly check at runtime whether partial aggregation is useful enough 
for reduction -> trino uses the formula, `NDV x 2 > input_rows`.
    - Top k output cardinality estimates
    - count(distinct col) can use `distinct_count`
    
   
   ### Describe alternatives you've considered
   
   _No response_
   
   ### Additional context
   
   _No response_


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