
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 $f(x)=\begin{cases}e^{x}-1, & (x > 0) \\ \frac{3}{2}x+1, & (x\leqslant 0)\end{cases}$, if $m < n$ and $f(m)=f(n)$, determine the range of values for $n-m$.

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