
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
Simplify and evaluate the following expressions, providing necessary simplification steps:

$(1) \sqrt{(3-\pi)^{2}}+(0.008)^{ \frac{1}{3}}+(0.25)^{ \frac{1}{2}} \times \left( \frac{1}{ \sqrt{2}}\right)^{-4}-e^{\ln \pi } $
$(2)\ln (\sqrt{{{x}^{2}}+1}+x)+\ln (\sqrt{{{x}^{2}}+1}-x)+{{\log }_{10}}^{2}2+(1+\log_{10} 2)\cdot \log_{10} 5$

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