FrogReaver
The most respectful and polite poster ever
No, you will allow some misses in order to conserve your dice. Turning a 3 into a hit by using a Precision die is often too unlikely.
Say 1s are caught by Lucky or Halfling. Then say 2-4 is the acceptable miss range; that you start using your Precision dice when you roll 5 or more. (This still allows a small risk of using a die, rolling low, and still missing)
Something like it at any rate; the analysis should tell you the optimal cut-off number (where you no longer gain any DPR by gambling a die, as opposed to saving it for a less risky time)
But as a general approach towards number crunching the effect, I'd recommend it.
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You will use your precision dice on the first time you miss by 3 or more. If you have more than 1 then 4 or more is probably better.