FullSimplify â-ª FullSimplify[
] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds.
â-ª FullSimplify will always yield at least as simple a form as Simplify, but may take substantially longer. â-ª The following options can be given: â-ª FullSimplify uses RootReduce on expressions that involve Root objects. â-ª FullSimplify does transformations on most kinds of special functions. â-ª See the Mathematica book: Section 1.4.4, Section 3.3.9. â-ª See also: Simplify, Factor, Expand, PowerExpand, ComplexExpand, TrigExpand, FunctionExpand.
FullSimplify versus Simplify
FullSimplify can handle expressions that Simplify leaves unchanged.
Here are more rules that FullSimplify knows about.
Differentiating a complicated indefinite integral should yield the integrand.
FullSimplify can handle the simplification.
Options: ExcludedForms, Trig
In the absence of any constraints, Factorial and Gamma cancel out in this expression.
Setting the option ExcludedForms to Factorial inhibits the simplification.
Setting it to Gamma does not, because Factorial is expressed in terms of Gamma.
In this example, partial simplification not involving Factorial is allowed to happen.
Here both the trigonometric and the gamma function are simplified.
By contrast, here the trigonometric functions are left untouched.
The same effect is obtained by explicitly excluding expressions matching Sin[_] from the simplification.