Java Method invocation vs using a variable
Solution 1:
Never code for performance, always code for readability. Let the compiler do the work.
They can improve the compiler/runtime to run good code faster and suddenly your "Fast" code is actually slowing the system down.
Java compiler & runtime optimizations seem to address more common/readable code first, so your "Optimized" code is more likely to be de-optimized at a later time than code that was just written cleanly.
Note:
This answer is referring to Java code "Tricks" like the question referenced, not bad programming that might raise the level of loops from an O(N) to an O(N^2). Generally write clean, DRY code and wait for an operation to take noticeably too long before fixing it. You will almost never reach this point unless you are a game designer.
Solution 2:
Your lead is correct. In modern versions of the VM, simple getters that return a private field are inlined, meaning the performance overhead of a method call doesn't exist.
Solution 3:
Don't forget that by assigning the value of getSomething() to a variable rather than calling it twice, you are assuming that getSomething() would have returned the same thing the second time you called it. Perhaps that's a valid assumption in the scenario you are talking about, but there are times when it isn't.