How do I fix Miata that runs ok for 1 hour and then sputters to a stop?

What is your question?

My Miata runs for 1 hour and then sputters to a stop. After it stops it won't start. I loosen gas cap and then tighten it and then it starts and runs for 15 min and then stops and won't start even if I loosen gas cap. If I wait an hour then it will start. This happens every time I drive it. I have changed the gas filter and that was no help.

How long has your 2001 Mazda Miata had this problem?

A few weeks.