
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 function $f(x)= \frac {x^{2}}{1+x^{2}}+ \log _{2}x.$

(1) Find the values of $f(2)$, $f( \frac {1}{2})$, $f(4)$, $f( \frac {1}{4})$, and calculate $f(2)+f( \frac {1}{2})$, $f(4)+f( \frac {1}{4})$;

(2) Find the value of $f(1)+f(2)+f(3)+…+f(2016)+f( \frac {1}{2})+f( \frac {1}{3})+…f( \frac {1}{2016})$.

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