With "Draw My Route" application, you can log your route at any time and export logs as GPX format. The only thing you will do is clicking "+" button and giving permission to the application to access your location.You can send the app to background mode at any time after your route is started drawing. You route will be continued drawing until you finish drawing by clicking "Finish" button.
While a route is being drawn, you can watch the time elapsed, your current speed and distance gathered instantaneously.
Your routes are grouped on a daily basis and named as "Route Start - End Time", so you can distinguish easily.
Selecting either of the routes, you can know what time, how fast and exactly where you are by sliding the bar on the screen.
CAUTION
!!! Continued use of location services running in background can dramatically decrease battery life !!!