
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 $f(x)=e^{x}- \frac {1}{2}ax^{2}+(a-e)x$ $(x\geqslant 0)$, where $e=2.71828…$ is the base of the natural logarithm,  
$(1)$ When $a=0$, find the minimum value of $f(x)$;  
$(2)$ When $1 < a < e$, find the number of monotonic intervals of $f(x)$.

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