Today I have finally found an automated version of this workflow that
gave me one of this nice WAHOUUUU feeling that happens after you remove this little stone from your shoe.
The idea is to continuously build the documentation using watch [2]
watch -n 2 make htlm
This will update the generated documentation every 2 seconds. This is nice in itself and it leads me to discover that Epiphany automatically reload the page when it changes.[1] http://sphinx.pocoo.org/
[2] http://linux.die.net/man/1/watch
[3] http://projects.gnome.org/epiphany/