agitate vs stir up

agitate and stir up both are verbs.

Word	Noun	Adjective	Verb	Adverb
agitate	No	No	Yes	No
stir up	No	No	Yes	No

As verbs, agitate and stir up are synonyms defined as:

Other synonyms of agitate include commove, disturb, raise up, shake up, vex.

As verbs, agitate and stir up are synonyms defined as:

Other synonyms of agitate include foment.

agitate (verb)	stir up (verb)
change the arrangement or position of	provoke or stir up
cause to be agitated, excited, or roused	change the arrangement or position of
move very slightly	arouse or excite feelings and passions
move or cause to move back and forth	try to stir up public opinion
try to stir up public opinion
exert oneself continuously, vigorously, or obtrusively to gain an end or engage in a crusade for a certain cause or person; be an advocate for