An API from another team we rely on suddenly got slow. like >2s/request. When asked why, the response was: we use a new model for our calculations and it's slower.
I insisted that it should be faster and offered to show how to use a profiler. The person from the other team thought the math part was slow and not the trivial looking stuff around it. Profiler showed the math is fast and the stuff around it is 97% of the time.
Got a 8-9x speedup in the first hour
Learn how to use a profiler!