izveigor opened a new issue, #5815:
URL: https://github.com/apache/arrow-datafusion/issues/5815

   ### Is your feature request related to a problem or challenge?
   
   I want to suggest implementing rules to LOG and POWER functions in the 
optimizer. These are scalar functions like `concat` and `concat_ws`, which can 
be optimized by the application right now.
   
   These changes can be useful for users, who usually use mathematical formulas 
and calculations in their work.
   
   ### Describe the solution you'd like
   
   I would like to add the next rules for LOG and POWER functions optimization:
   
   Power:
   1) Power(a, 1) = a
   2) Power(a, 0) = 1
   3) Power(a, Log(a, b)) = b
   
   Log:
   1) Log(a, 1) = 0
   2) Log(a, a) = 1
   3) Log(a, Power(a, b)) => b
   
   All rules obey the laws of mathematics
   
   ### Describe alternatives you've considered
   
   If these functions are statistically rare used by users, this feature may be 
excess.
   
   ### Additional context
   
   _No response_


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