Search high and low (for someone or something) verb phrase
Try to look everywhere for someone or something
I give up! I've searched high and low for that book, but I still can't find it.
Where have you been? I've been searching high and low for you all day.
We've been searching high and low for a dining table that matches our house interior.
To quickly look at someone or something
If a person "casts around for someone or something", he/she looks around to find something/someone, or search for an idea.
A prolonged, strong and determined look, especially when one is expressing disapproval or displeasure
Look through something such as a window, the fog, binoculars etc.
To look around for something or hunt for something.
The verb "search" should be conjugated according to its tense.