Rethink vs Reconsider - What's the difference?

As verbs the difference between rethink and reconsider

is that rethink is to think again about a problem while reconsider is to consider a matter thought already to have been decided.

is the act of thinking again about something.

To think again about a problem.

(en noun)

The act of thinking again about something.

This business plan of yours looks risky. It needs a rethink .

(en verb) (wikipedia reconsider)

To consider a matter thought already to have been decided.

Is there any way I can get you to reconsider selling your car?

In parliamentary procedure, a motion to bring back for further debate and a revote a motion that has already been passed.