Yep, pump running the whole time.
And remember, you have to pass all three tests at the same time.
1) Water is clear (even after brushing!)
2) CC .5 or less
3) Overnight loss less than 1 FC
After that is done, you'll be cruising through the summer in total control of the chemistry. Come late July or August, your neighbors will be blowing their paychecks at the pool store in a futile attempt to clear their green pools. Your kids will become pool snobs, too.