You can get detailed timing data about parse, plan, execute timings from postgresql logging. Parsing is almost always trivial. Planning can get expensive for complex queries with many joins (large space of solutions to explore). For simple queries there's almost no benefit for prepared statements in postgres. Prepared statements are a maintenance headache and don't play well with session multiplexed connection pooling (like PgBouncer); generally best to avoid them unless you have measured a concrete and significant benefit.
>You can get detailed timing data about parse, plan, execute timings from postgresql logging. Parsing is almost always trivial.
And yet you can get >50% speedups for super common queries like "select * from foo where id = ?" if you prepare it once and then use execute instead of just running the select every time. Seems like maybe you're making assumptions you shouldn't.