
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 $f(x)$ whose domain is $\mathbb{R}$. When $x < 0$, $f(x)=\ln (-x)+x$; when $-e \leqslant x \leqslant e$, $f(-x)=-f(x)$; when $x > 1$, $f(x+2)=f(x)$, then $f(8)=$ ______.

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