gallop through something—do and complete smth. quickly:
- I seem to have galloped through the whole work, which I hope will not suffer from not having devoted more time.
run through something—
1. (of a rumor, gossip, etc.) pass or spread through a place:
- The news ran through the town like wild-fire.
2. read and check smth. quickly:
- Before the interview I ran through my notes and scribbled over my questions making them word-perfect.
3. (of money, etc.) spend fast:
- Inevitably, as he ran through his fortune, which took him only a few months, he was eventually obliged to face up to realities.
4. (of a piece of music, etc.) repeat or practice:
- We had a full dress rehearsal and ran through the whole play several times.
Note: The expression is not equivalent in meaning to the phrase run something through—
1. make a film pass through a projector:
- We ran the film through several more times.
2. make a hole through smth.:
- Do they burn the flag, spit on it, run it through with a sword?
See also: come through something / go through something.