Timechart into stats?

So... I have a weird one I can't seem to find much info on.

I want to use the per_second() command, but i want a sum of it's results. The real scenario is complicated but for simplification lets say we have csv data that returns:

_time,feet,name
###,100,steve
###,70,bob
###,200,steve
###,120,bob

and i want to know the feet per second, by name.

timechart per_second(feet) as Fps by name

no problem. makes a nice chart of feet per second, by name, for each time tick. but what i want is a table, that shows a sum of:

Name    Fps
------------
Bob    23
Steve  42

(numbers in that example made up)

when i try to do:

timechart per_second(feet) as Fps by name | stats sum(FPS) by Name

i get zilch.