Is using SUM() twice suboptimal?

I know I have to write SUM twice, if I wish to use it in a HAVING clause (or use a derived table otherwise):

SELECT  id,
  sum(hours) AS totalhours
  FROM mytable
  GROUP BY id
  HAVING sum(hours) > 50;

My question now is, whether or not this is suboptimal. As a programmer, this query looks like the DB will calculate the sum twice. Is that so, or should I rely on optimizations the DB engine will do for me?

Update: an explain of a comparable query:

postgres=> explain select sum(counttodo) from orderline group by orderlineid having sum(counttodo) > 100;
                             QUERY PLAN                             
--------------------------------------------------------------------
 HashAggregate  (cost=1.31..1.54 rows=18 width=8)
   Filter: (sum(counttodo) > 100)
   ->  Seq Scan on orderline  (cost=0.00..1.18 rows=18 width=8)
(3 rows)

The sum is only computed once.

I verified this using

create table mytable (id int, hours int);
insert into mytable values (1, 60);
select sum(hours) from mytable group by id having sum(hours) > 50;

and then used a debugger to check how many times int4_sum (the transition function behind the sum aggregate) was called: once.

StackExchange Database Administrators Q#43237, answer score: 3