Mutability is definitely not less hassle or time if you account for the dramatic difference in error rates and maintenance costs.
Extract code into a function, automatically suggested by duplicated code detection. Inline functions back into call sites.
Convert imperative for-loops to functional style streams and back again.
Change function prototypes globally by adding or removing parameters.
Extract classes and interfaces.
Common sub-expression elimination (i.e. select an expression, introduce a new variable, all uses of that expression can be replaced as well)
Detect dead code and automatically remove it.
Refactorings across languages.
Replace inheritance with delegation or vice-versa.
Automatically generify code. Extraction of type variables.
Obviously a whole suite of structural code changes like renamings and other smaller things.
That's without getting into all the other code intelligence features.
Regardless of how fancy you feel the type system of a language is, these sorts of keyboard-driven refactorings are tremendously helpful for getting code and APIs right.
Agreed, though hare is trying (has, but needs editor integrations?) to address this: