Transfiguration
Answer: METAMORPHOSES
Each of these spells is composed of several two-letter subspells, each of which turns one English word into another via some rule. The full spells act by applying each subspell in order. The subspells and their effects are:
- AX: Removes the first letter
- CO: Dualizes a mathematical term
- EV: Takes the even-numbered letters
- IE: Returns the first name of a famous mathematician/scientist with this last name
- LA: Removes the name of a note from the input
- MF: Flips the gender
- NO: Returns the antonym
- OR: Returns the homophone
- PP: Returns the past participle of a verb
- RE: Reverses the order of the letters
- SU: Returns the superlative
- UN: Removes a country name from the input
- VO: Changes each voiced consonant to its unvoiced equivalent
The final transformations are:
- Lasuno! BREAD → BAD → WORST → BEST
- Coevorpp! INTERSECTION → UNION → NO → KNOW → KNOWN
- Ieaxremfre! HILBERT → DAVID → AVID → DIVA → DIVO → OVID
- Unppvo! DRAGOMAN → DRAG → DRAGGED → TRACT
The clue phrase is thus BEST KNOWN OVID TRACT, giving the answer.