Difference between Insane and Amuck

INSANE vs AMUCK: ADJECTIVE

Characteristic of or associated with persons who are mentally deranged.
Intended for use by such persons.
Having been determined to be in a condition that meets the legal definition of insanity.
Immoderate; wild.
Very foolish; absurd.
Of, exhibiting, or afflicted with mental derangement. Not used in psychiatric diagnosis.
Afflicted with or characteristic of mental derangement
Exhibiting unsoundness or disorder of mind; not sane; mad; deranged in mind; delirious; distracted. See insanity, 2.
Used by, or appropriated to, insane persons.
Causing insanity or madness.
Characterized by insanity or the utmost folly; chimerical; unpractical
Very foolish

In a murderous frenzy
Wildly; without self-control
In a frenzy to do violence or kill.
In or into a jumbled or confused state.
In or into an uncontrolled state or a state of extreme activity.
In a frantic or frenzied and violent manner; in a confused, jumbled or uncontrolled state.

Synonyms Crazed, lunatic, demented, maniacal.
Making insane; causing insanity.
Devoted to the use or care of the insane: as, an insane asylum.
Characteristic of a person mentally deranged; hence, wild; insensate; senseless.
Not sane; unsound or deranged in mind; crazy.

Literally, in a state of murderous frenzy; indiscriminately slaughtering or killing: a term used in the Eastern Archipelago.
Hence — To proceed in a blind, headstrong manner, careless of consequences, which are most likely to be disastrous.
[Sometimes written in two words, and treated as a noun with the indefinite article.
In a frenzied and reckless manner.
To rush out in a state of frenzy, as the Malays sometimes do under the influence of “bhang,” and attack every one that comes in the way; to assail recklessly and indiscriminately.
Wildly frenzied and out of control
Wildly
Without self-control

Nutty, Schizophrenic, Paranoid, Loony, Batty, Maniac, Psychotic, Unhinged, Deranged, Demented, Idiotic, Mad, Bonkers, Lunatic, Crazy

Aground, Anarchically, Heedlessly, Rampantly, Mindlessly, Afoul, Haywire, Roughshod, Possessed, Murderously, Demoniacal, Demoniac, Insane, Berserk, Amok

Nutty, Schizophrenic, Paranoid, Loony, Batty, Maniac, Psychotic, Unhinged, Deranged, Demented, Idiotic, Mad, Bonkers, Lunatic, Crazy

Kaput, Bastardly, Awry, Apeshit, Aground, Heedlessly, Afoul, Haywire, Roughshod, Possessed, Demoniacal, Demoniac, Insane, Berserk, Amok

This whole situation is insane and quite frankly is making me insane.
This is one insane quest fit for one insane faction of isolated geniuses.
Even if not deemed legally insane, a serial killer is certainly morally and ethnically insane.
If you want to demonstrate that someone is insane, then they gotta fucking look insane.
He acts insane but tries to insist I am the one who is insane.
Do people living through insane times realize just how insane that time is?
Asa was insane; but Asa was insane because the deed itself was insane.
Finally, I went insane, and not the good kind of insane either.
The people are all insane, the other animals are all insane, the earth is insane, Nature itself is insane.
Insane stunting circuits, insane jumps, insane speeds: Trackmania Turbo has it all.

These recent epically extreme gold stock lows certainly weren't righteous fundamentally, they were the product of wild fear run amuck.
The death sentence was put in place to deter those without conscience from running amuck in society.
Then of course, there are the tourists, like us, simply there to run amuck.
There was criticism online yesterday that this was political correctness run amuck.
This is another example of extreme liberalism run amuck in our public school system.
Wall Street to run amuck while their foxes guarded the chicken coops.
These aliens are running amuck and know how the system works.
In this situation we see a single electron running amuck.
Power run amuck, like greed, is an ugly thing.
The rabbits and other rodents will run amuck.