The difference between Calm down and Chill out

When used as verbs, calm down means to become less excited, intense, or angry, whereas chill out means to relax or take time out.

check bellow for the other definitions of Calm down and Chill out

Calm down as a verb (intransitive):

To become less excited, intense, or angry.

Examples:

"Calm down before you hurt somebody."
Calm down as a verb (transitive):

To cause to become less excited, intense, or angry.

Chill out as a verb (intransitive, slang):

To relax or take time out; to calm down.

Examples:

"synonyms: chill"

"Since I'm between projects, I think I'll just chill out."

"I wish I could chill out about the neighbor's barking dog, but it wakes me up every night."
Chill out as a verb (intransitive, slang, somewhat dated):

To hang out; spend time together with another person or group.

Examples:

"synonyms: chilhang out"

"Hey, we should chill out together this weekend."