Unified search for events and tasks

Feature request: A single unified search bar that is more powerful than the current search tool, and unified (e.g., a single search field instead of a calendar search and a separate task search).

Examples / UX:

1. An improved search bar that includes various "smart" search tools, e.g.: a quick way to find "calendar tasks not marked complete" as well as "calendar tasks not marked complete" and/or "tasks in the past".

2. Search bar should make it easy to combine different criteria using AND or OR.

3. Ideally, search bar would be unified (search both calendar and task list) so I don't have to run dual searches all the time.

4. Other criteria that I'd like to be able to search for (in a unified fashion, across tasks and calendar events/tasks): description, dates, title, repeating/non-repeating, done/not done, tags, near/future/past (e.g., a few quick options so I don't have to type out dates).

Current UX limitation: There is a risk that unfinished tasks (on my calendar) will be forgotten about. I haven't discovered an easy way to prevent that. Not a risk for "tasks" (in the left-hand task list), but definitely a risk for "tasks/events" (tasks on the calendar).