For example, I can easily grab (what it thinks are) the top 10 most impactful missing indexes and create them. The big issue is that, well, they can be really dumb when looking at a macro level. Do I often query a 10 column table for 8 of the columns? It will likely recommend I index those 8 columns. In a vacuum that might be a great index for this specific query, but now I'm basically maintaining two copies of the full table.
To be able to weigh these pros and cons would be a really nice feat, then DBAs will have to abandon the "It Depends" mantra!
Probably the best thing a "machine" can do is to give tools to easily perform a reasonably accurate and extensive analysis, but I think any major RDBMS has "good enough" tools to do so.
Interestingly, I think it's important to think who is the target of such tools - the casual developer? the novice dba? the expert dba who works on large datasets? I think even theoretically advanced tools would help only the first case; the other two need to know very well what they're working with.
The pg_qualstats extension will gather statistics on WHERE clauses (number of execution, selectivity...) on the fly, and the powa UI can show you which are the most expensive queries, and suggest index creation based on your real workload. It's then your choice to create the indexes.
hypopg should be added soon to compare query EXPLAIN with and without the hypothetical indexes.
I'd love to see Postgres or MongoDB with an index-suggesting logger - I'd pay the cost of the logging to have it run on every query, then a background thread would figure out what the "hot spot" types of queries are, figure out what indices to create concurrently, and show it to me in a web interface where I can click a button and create the indices I need concurrently during a low-traffic period of time.
Does anything out there like this exist?