The traditional methods of the wizarding world definitely wouldn't work.
For every young wizard entering school, the first thing professors taught in their first Charms class was the importance of precise pronunciation and accurate wand movements.
There could not be the slightest mistake!
The young wizards did not understand why. All they heard from their professors were rather horrifying stories: a wizard had mispronounced a syllable of the Levitation Charm, and a cow suddenly appeared and landed on his chest.
A young wizard had made a mistake while Apparating, and his head ended up in Provence while his body remained in England!
As beginners, the young wizards did not understand why miscasting a spell could lead to such consequences. Some particularly imaginative troublemakers even deliberately tried mispronouncing spells in hopes of "inventing" new ones.
Like the example of the cow being summoned by a mispronounced Levitation Charm.
Naturally, such attempts never succeeded.
Although magic was a matter of the mind, even matters of the mind had their own logic and established patterns. Any spell that had endured through the ages, however subjective its nature, had necessarily undergone countless revisions and adjustments by generations of wizards to ensure that the incantation describing its effects and the wand movements constructing its structure could accurately express the magic's function.
Think about it: even a physically simple spell like Incendio—how many concepts had to be condensed into its incantation and wand movements?
If calculated in the Muggle way, even the motion patterns of plasma alone had to be divided into ion acoustic waves, Alfvén waves, whistler waves, Langmuir waves, and so on.
And that was only the incantation.
The spatial structures represented by wand movements also involved models of various geometric configurations.
With so many things simplified, one could imagine just how much information