Hunt high and low (for someone or something) informal verb phrase figurative
To carefully look everywhere for someone or something.
I have been hunting high and low for my car key all day but I can't find it.
Where were you yesterday? I hunted high and low for you.
We promise we'll hunt high and low for the missing kids.
If a person "casts around for someone or something", he/she looks around to find something/someone, or search for an idea.
Try to look everywhere for someone or something
To look around for something or hunt for something.
To be in search of something.
If you say that you root around something, you mean that you shuffle through it to search for something there.
The verb "hunt" should be conjugated according to its tense.
If you take a flyer (on something), you take a chance, risk, or gamble on it.
The coach took a flyer on the young goalkeeper, and it turned out to be a wise choice.