search for someone or something
to look very hard for someone or something. I searched for Ted everywhere, but he was already gone. I have searched for my glasses high and low.
search someone for something
to feel, touch, pat, frisk, or examine electronically a person's body, looking for something hidden underneath the clothes. The police searched the suspect for hidden weapons. The airport guard used an electronic instrument to search the passengers for weapons.
search something for someone or something
to examine something, looking for someone or something. Everyone searched the house for little Wally, but he was not to be found. I searched all my coat pockets for the note, but I didn't find it.