differences between "look for" and "search"

Which are the differences between "look for" and "search"? These words have the same meaning, haven't they?      ( you have to say haven't they, because the verb have is used as an ordinary verb here)

Here are the differences:

search,

1- to look somewhere carefully in order to find something:
The police searched the woods for the missing boy.
She searched his face for some sign of forgiveness, but it remained expressionless.He searched (in/through) his pockets for some change.
I've searched high and low (= everywhere), but I can't find my birth certificate.
The detectives searched the house from top to bottom (= all over it), but they found no sign of the stolen goods.FIGURATIVE She searched her mind/memory for the man's name, but she couldn't remember it.
FIGURATIVE People who are searching after inner peace sometimes turn to religion.

2 - to try to find the answer to a problem:
Philosophers have searched for millennia but they haven't found the meaning of life.
3 - A police officer who searches you or your possessions looks for something you might be hiding:
The men were searched for drugs and then released.

look for sth/sb
to try to find something or someone, either because you have lost them or because you need them
Have you seen my gloves? I've been looking for them all week.
I was looking for Andy. Do you know where he is?
How long have you been looking for a job?