"Chase" vs. "pursue": comparing two ways to seek

What is similar?

Both "chase" and "pursue" involve following or seeking something, often with the intent to catch or achieve it.

What is different?

"Chase" often implies a physical following, sometimes with urgency or speed. "Pursue" can be both physical or metaphorical and doesn't emphasize speed as strongly, often implying a more deliberate and ongoing effort.

Which one is more common?