jayzhan211 opened a new issue, #9518:
URL: https://github.com/apache/arrow-datafusion/issues/9518

   ### Is your feature request related to a problem or challenge?
   
   In #9504, we have an issue that `select 
array_ndims([[[[[[[[[[[[[[[[[[[[[1]]]]]]]]]]]]]]]]]]]]])` is taking so long 
time compare with the main branch.
   
   I found out that we always calculate the arguments type every time, which is 
really costly for the expression like above.
   
   
https://github.com/apache/arrow-datafusion/blob/5537572820977b38719e2253f601a159deef5bc6/datafusion/expr/src/expr_schema.rs#L141-L156
   
   UDF now always go through `return_type_from_exprs`
   
   
https://github.com/apache/arrow-datafusion/blob/5537572820977b38719e2253f601a159deef5bc6/datafusion/expr/src/udf.rs#L306-L316
   
   Always recompute types here.
   
   I test it locally that every avoid the re-computation, at least this query 
gets super fast as the main branch does.
   
   ### Describe the solution you'd like
   
   Ideally, we should cache the result for the same arguments and schema pair, 
but that need to check the matching first. 
   I think we can just add another argument `args_types: &[DataType]` for 
`return_type_from_exprs`. If the `args_types` is empty, we calculate the types, 
otherwise we skip it.
   
   ### Describe alternatives you've considered
   
   Other better design
   
   ### Additional context
   
   _No response_


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