In Greek, past tenses are formed with "augmentation," e.g. present -> imperfect:

• λῡ́ω > ἔλῡον
• εὑρῐ́σκω > ηὕρῐσκον

Since we know that certain Latin verbs preserve perfect reduplication, I wonder: do any Latin verbs also preserve a temporal augment? One potential example immediately comes to mind: ago > egi.

If so, is there any rule we can point to by which some Latin perfect stems are reduplicated, others are augmented, and the rest are formed according to the normal rules?