QID does not move twice as fast as QQQQ, it moves twice the inverse of the daily range (magnitude not time).
If you plot QID vs. QQQQ for each day, it does very close to what it advertises. That is to say, at any point in time, change in QID will be approximately -2X the change of QQQQ throughout the day.
At the end of the day, the changes should have tracked well enough that relative change from the opening should have the same -2X relationship.