The Free On-line Dictionary of Computing (19 January 2023):
deep magic
[possibly from C. S. Lewis's "Narnia" books] An awesomely
arcane technique central to a program or system, especially
one neither generally published nor available to hackers at
large (compare black art); one that could only have been
composed by a true wizard. Compiler optimisation techniques
and many aspects of OS design used to be deep magic; many
techniques in cryptography, signal processing, graphics, and
AI still are. Compare heavy wizardry. Especially found in
comments of the form "Deep magic begins here.". Compare
voodoo programming.
The Jargon File (version 4.4.7, 29 Dec 2003):
deep magic
n.
[poss. from C. S. Lewis's Narnia books] An awesomely arcane technique
central to a program or system, esp. one neither generally published nor
available to hackers at large (compare black art); one that could only
have been composed by a true wizard. Compiler optimization techniques and
many aspects of OS design used to be deep magic; many techniques in
cryptography, signal processing, graphics, and AI still are. Compare heavy
wizardry. Esp.: found in comments of the form “Deep magic begins here...”.
Compare voodoo programming.