
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
A periodic odd function $f(x)$ with a period of $4$ has the following analytical expression on the interval $[0,2]$: $f(x)= \begin{cases} x^{2},0\leqslant x\leqslant 1 \\ \log _{2}x+1,1 < x\leqslant 2 \end{cases}$, find $f(2014)+f(2015)=$ \_\_\_\_\_\_ .

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