Remember: We see something static, unmoving. We also see the things around us, perhaps without paying much attention to them. We look at something in order to pay more attention to its appearance. We watch something when we want to know what happens (so therefore we generally watch something that is moving or that requires our attention). We use look when we want to direct someone's attention to something.)

from the corner of your eye also out the corner of your eye not seen completely, only briefly noticed From the corner of his eye he thought he saw a large dog, but it was actually a coyote.

Boils down to means to reduce something to its essentials/to reveal the most important part or factor.

Down to means the responsibility or fault of.

Due to means caused by.

Owing to means because of.

Put down to means attribute to.

Up to means dependent or incumbent upon.

run a tight ship: to control a business or other organization firmly and effectively