
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 a function \( f(x) \) such that \( f(1)=2 \), and 
\[ 
f(x+1) = \frac{1 + f(x)}{1 - f(x)} 
\]
holds for any \( x \) in its domain, compute \( f(2016) \).

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