Compiled is an option for various numerical and plotting functions which specifies whether the expressions they work with should automatically be compiled.
Compiled -> True automatically creates compiled functions.
You should set Compiled -> False if you need to use high-precision numbers.
See The Mathematica Book: Section 1.9.3, Section 1.9.6, Section 1.9.6, Section 2.5.14 and Section 3.9.3.
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