word for sleep-deprived frustration [closed]

I don't know of any extant term or idiom, so here is a coinage:

Fuming on fumes: It's a play on "fume" meaning "a state of excited irritation or anger" and "running on fumes," an idiom meaning continuing forward in a state of extreme exhaustion.

Don't test my patience, I'm fuming on fumes today.

Perhaps 'being wired' would work.

From ODO:

Definition of wired in English: adjective

2 [PREDICATIVE] informal: In a nervous, tense, or edgy state:

not much sleep lately — I’m a little wired

However, other senses may be a disincentive to use the term, it is not tied in exclusively to sleep deprivation, and 'wiredness' is not given by many dictionaries; UD does, restricts meaning to '[a] physical and mental condition resulting from increased time on the wired world'.