
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 $f(x)$ defined on the real number set R, satisfying $f(2-x)=f(x)$, and when $x \geqslant 1$, $f(x)=\log_{2}x$, determine the relationship between $f\left( \dfrac {1}{3}\right)$, $f(2)$, and $f\left( \dfrac {1}{2}\right)$.

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