Oh how I hate cleaning pots and pans. This is a pan that I have been using for the past two years. And see how the bottom is so dirty.
I read that you can pour baking soda and vinegar and the crap will come off. So here's my experiment. For this pan, I used 5 Tablespoons of baking soda, and maybe 1/2 a cup of vinegar. Put the baking soda on the pan and spread it around evenly. Then pour the vinegar on top. It will bubble. Let stand for 15 minutes. See picture below for demonstration.