
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 $f(x)= \begin{cases} x^{2}+x, & 0 < x < 2\\ -2x+8, & x\geqslant 2\end{cases}$, if $f(a)=f(a+2)$, then $f\left( \dfrac {1}{a}\right)=$\_\_\_\_\_\_.

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