11.7. Indexes on Expressions
An index column need not be just a column of the underlying table, but can be a function or scalar expression computed from one or more columns of the table. This feature is useful to obtain fast access to tables based on the results of computations.
  For example, a common way to do case-insensitive comparisons is to
   use the
  
   lower
  
  function:
 
SELECT * FROM test1 WHERE lower(col1) = 'value';
  This query can use an index if one has been
   defined on the result of the
  
   lower(col1)
  
  function:
 
CREATE INDEX test1_lower_col1_idx ON test1 (lower(col1));
  If we were to declare this index
  
   UNIQUE
  
  , it would prevent
   creation of rows whose
  
   col1
  
  values differ only in case,
   as well as rows whose
  
   col1
  
  values are actually identical.
   Thus, indexes on expressions can be used to enforce constraints that
   are not definable as simple unique constraints.
 
As another example, if one often does queries like:
SELECT * FROM people WHERE (first_name || ' ' || last_name) = 'John Smith';
then it might be worth creating an index like this:
CREATE INDEX people_names ON people ((first_name || ' ' || last_name));
  The syntax of the
  
   CREATE INDEX
  
  command normally requires
   writing parentheses around index expressions, as shown in the second
   example.  The parentheses can be omitted when the expression is just
   a function call, as in the first example.
 
  Index expressions are relatively expensive to maintain, because the
   derived expression(s) must be computed for each row insertion
   and
  
   non-HOT update.
  
  However, the index expressions are
  
   
    not
   
  
  recomputed during an indexed search, since they are
   already stored in the index.  In both examples above, the system
   sees the query as just
  
   WHERE indexedcolumn = 'constant'
  
  and so the speed of the search is equivalent to any other simple index
   query.  Thus, indexes on expressions are useful when retrieval speed
   is more important than insertion and update speed.