Initial program 0.2
\[\left|\frac{1}{\sqrt{\pi}} \cdot \left(\left(\left(2 \cdot \left|x\right| + \frac{2}{3} \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \left|x\right|\right)\right) + \frac{1}{5} \cdot \left(\left(\left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right)\right) + \frac{1}{21} \cdot \left(\left(\left(\left(\left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right)\right)\right|\]
Taylor expanded around 0 0.2
\[\leadsto \left|\frac{1}{\sqrt{\pi}} \cdot \left(\left(\left(2 \cdot \left|x\right| + \frac{2}{3} \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \left|x\right|\right)\right) + \frac{1}{5} \cdot \left(\color{blue}{{\left(\left|x\right|\right)}^{4}} \cdot \left|x\right|\right)\right) + \frac{1}{21} \cdot \left(\left(\left(\left(\left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right) \cdot \left|x\right|\right)\right)\right|\]
Applied simplify0.2
\[\leadsto \color{blue}{\left|\left(\left({\left(\left|x\right|\right)}^{3} \cdot {\left(\left|x\right|\right)}^{3}\right) \cdot \left(\left(\frac{1}{21} \cdot \left|x\right|\right) \cdot \frac{1}{\sqrt{\pi}}\right) + \frac{1}{\sqrt{\pi}} \cdot \left(2 \cdot \left|x\right|\right)\right) + \left(\frac{1}{\sqrt{\pi}} \cdot \left|x\right|\right) \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \frac{2}{3} + \frac{{\left(\left|x\right|\right)}^{4}}{5}\right)\right|}\]
- Using strategy
rm Applied pow10.2
\[\leadsto \left|\left(\left({\left(\left|x\right|\right)}^{3} \cdot {\left(\left|x\right|\right)}^{3}\right) \cdot \left(\left(\frac{1}{21} \cdot \color{blue}{{\left(\left|x\right|\right)}^{1}}\right) \cdot \frac{1}{\sqrt{\pi}}\right) + \frac{1}{\sqrt{\pi}} \cdot \left(2 \cdot \left|x\right|\right)\right) + \left(\frac{1}{\sqrt{\pi}} \cdot \left|x\right|\right) \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \frac{2}{3} + \frac{{\left(\left|x\right|\right)}^{4}}{5}\right)\right|\]
Applied pow10.2
\[\leadsto \left|\left(\left({\left(\left|x\right|\right)}^{3} \cdot {\left(\left|x\right|\right)}^{3}\right) \cdot \left(\left(\color{blue}{{\left(\frac{1}{21}\right)}^{1}} \cdot {\left(\left|x\right|\right)}^{1}\right) \cdot \frac{1}{\sqrt{\pi}}\right) + \frac{1}{\sqrt{\pi}} \cdot \left(2 \cdot \left|x\right|\right)\right) + \left(\frac{1}{\sqrt{\pi}} \cdot \left|x\right|\right) \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \frac{2}{3} + \frac{{\left(\left|x\right|\right)}^{4}}{5}\right)\right|\]
Applied pow-prod-down0.2
\[\leadsto \left|\left(\left({\left(\left|x\right|\right)}^{3} \cdot {\left(\left|x\right|\right)}^{3}\right) \cdot \left(\color{blue}{{\left(\frac{1}{21} \cdot \left|x\right|\right)}^{1}} \cdot \frac{1}{\sqrt{\pi}}\right) + \frac{1}{\sqrt{\pi}} \cdot \left(2 \cdot \left|x\right|\right)\right) + \left(\frac{1}{\sqrt{\pi}} \cdot \left|x\right|\right) \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \frac{2}{3} + \frac{{\left(\left|x\right|\right)}^{4}}{5}\right)\right|\]
Applied simplify0.2
\[\leadsto \left|\left(\left({\left(\left|x\right|\right)}^{3} \cdot {\left(\left|x\right|\right)}^{3}\right) \cdot \left({\color{blue}{\left(\frac{\left|x\right|}{21}\right)}}^{1} \cdot \frac{1}{\sqrt{\pi}}\right) + \frac{1}{\sqrt{\pi}} \cdot \left(2 \cdot \left|x\right|\right)\right) + \left(\frac{1}{\sqrt{\pi}} \cdot \left|x\right|\right) \cdot \left(\left(\left|x\right| \cdot \left|x\right|\right) \cdot \frac{2}{3} + \frac{{\left(\left|x\right|\right)}^{4}}{5}\right)\right|\]
