meaning - Is there a rule which may indicate us when to use "BROAD" and when to use "WIDE"?

Could anybody tell me please if there is a rule which may indicate us when to use "BROAD" and when to use "WIDE?

1st example: I know it is correct to say "broad daylight" but is it wrong to say "wide daylight"?

2nd example: "world wide" is correct, but what about, "world broad"?

3rd example: "Wide-awake" is correct, but could "broad-awake" be also correct?

Dictionaries are unable to explain this or if there is a rule. Can you help please?