What happened here is either that the RDBMS is not capable of using an index on the LEFT() predicate and is capable of using it on the LIKE, or it simply made the wrong call in which would be the more appropriate access method.
Firstly, it may be true for some RDBMSs that applying a function to a column prevents an index-based access method from being used, but that is not a universal truth, nor is there any logical reason why it needs to be. An index-based access method (such as Oracle's full index scan or fast full index scan) might be beneficial but in some cases the RDBMS is not capable of the operation in the context of a function-based predicate.
Secondly, the optimiser may simply get the arithmetic wrong in estimating the benefits of the different available access methods. Assuming that the system can perform an index-based access method it has first to make an estimate of the number of rows that will match the predicate, either from statistics on the table, statistics on the column, by sampling the data at parse time, or be using a heuristic rule (eg. "assume 5% of rows will match"). Then it has to assess the relative costs of a full table scan or the available index-based methods. Sometimes it will get the arithmetic wrong, sometimes the statistics will be misleading or innaccurate, and sometimes the heuristic rules will not be appropriate for the data set.
The key point is to be aware of a number of issues:
- What operations can your RDBMS support?
- What would be the most appropriate operation in the
case you are working with?
- Is the system's choice correct?
- What can be done to either allow the system to perform a more efficient operation (eg. add a missing not null constraint, update the statistics etc)?
In my experience this is not a trivial task, and is often best left to experts. Or on the other hand, just post the problem to Stackoverflow -- some of us find this stuff fascinating, dog help us.