
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the even function $f(x)$, when $x \in [0,2)$, $f(x)=2\sin x$, and when $x \in [2,+\infty)$, $f(x)=\log_{2}x$, find the value of $f(- \frac {\pi}{3})+f(4)$ = \_\_\_\_\_\_.

Present the answer in LaTex format: \boxed{Your answer}
user