
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
$(1)$ Calculate: $-1^4+\sqrt{12} \times \frac{\sqrt{3}}{3}-(-\frac{1}{2})^{-3}$.  
$(2)$ Below is the process of Xiao Bin's practice of polynomial operations. Please read carefully and complete the corresponding tasks.  
Task:  
① In the solving steps above, the mathematical formulas used in the first step are ______, ______;  
② Errors start to appear in step ______ of the solving steps above, and the specific error is ______;  
③ The correct result of the simplification is ______.

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