Initial program 1.5
\[\left(\frac{1}{\sqrt{\pi}} \cdot e^{\left|x\right| \cdot \left|x\right|}\right) \cdot \left(\left(\left(\frac{1}{\left|x\right|} + \frac{1}{2} \cdot \left(\left(\frac{1}{\left|x\right|} \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right)\right) + \frac{3}{4} \cdot \left(\left(\left(\left(\frac{1}{\left|x\right|} \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right)\right) + \frac{15}{8} \cdot \left(\left(\left(\left(\left(\left(\frac{1}{\left|x\right|} \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right) \cdot \frac{1}{\left|x\right|}\right)\right)\]
Applied simplify1.4
\[\leadsto \color{blue}{\left(\left({\left(\frac{1}{\left|x\right|}\right)}^{\left(3 + 1\right)} \cdot {\left(\frac{1}{\left|x\right|}\right)}^{3}\right) \cdot \left(\left(\frac{15}{8} \cdot \frac{1}{\sqrt{\pi}}\right) \cdot e^{\left|x\right| \cdot \left|x\right|}\right) + e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\frac{1}{\sqrt{\pi}} \cdot \frac{1}{\left|x\right|}\right)\right) + \left(e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\frac{1}{\sqrt{\pi}} \cdot \frac{1}{\left|x\right|}\right)\right) \cdot \left({\left(\frac{1}{\left|x\right|}\right)}^{\left(3 + 1\right)} \cdot \frac{3}{4} + \frac{\frac{1}{\left|x\right|}}{\frac{2}{\frac{1}{\left|x\right|}}}\right)}\]
Taylor expanded around -inf 0.5
\[\leadsto \left(\color{blue}{\frac{15}{8} \cdot \left(\sqrt{\frac{1}{\pi}} \cdot \frac{e^{{\left(\left|x\right|\right)}^{2}}}{{\left(\left|x\right|\right)}^{7}}\right)} + e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\frac{1}{\sqrt{\pi}} \cdot \frac{1}{\left|x\right|}\right)\right) + \left(e^{\left|x\right| \cdot \left|x\right|} \cdot \left(\frac{1}{\sqrt{\pi}} \cdot \frac{1}{\left|x\right|}\right)\right) \cdot \left({\left(\frac{1}{\left|x\right|}\right)}^{\left(3 + 1\right)} \cdot \frac{3}{4} + \frac{\frac{1}{\left|x\right|}}{\frac{2}{\frac{1}{\left|x\right|}}}\right)\]
Applied simplify0.5
\[\leadsto \color{blue}{\left({\left(\frac{1}{\left|x\right|}\right)}^{\left(3 + 1\right)} \cdot \frac{3}{4} + \left(\frac{\frac{1}{\left|x\right|}}{2 \cdot \left|x\right|} + 1\right)\right) \cdot \left(\frac{\frac{1}{\sqrt{\pi}}}{\left|x\right|} \cdot e^{\left|x\right| \cdot \left|x\right|}\right) + \frac{\left(\frac{15}{8} \cdot \sqrt{\frac{1}{\pi}}\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}{{\left(\left|x\right|\right)}^{7}}}\]
Taylor expanded around 0 0.5
\[\leadsto \left(\color{blue}{{\left(\frac{1}{\left|x\right|}\right)}^{4}} \cdot \frac{3}{4} + \left(\frac{\frac{1}{\left|x\right|}}{2 \cdot \left|x\right|} + 1\right)\right) \cdot \left(\frac{\frac{1}{\sqrt{\pi}}}{\left|x\right|} \cdot e^{\left|x\right| \cdot \left|x\right|}\right) + \frac{\left(\frac{15}{8} \cdot \sqrt{\frac{1}{\pi}}\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}{{\left(\left|x\right|\right)}^{7}}\]
Applied simplify0.5
\[\leadsto \color{blue}{\frac{{\left(\frac{1}{\left|x\right|}\right)}^{4} \cdot \frac{3}{4} + \left(1 + \frac{\frac{\frac{1}{2}}{\left|x\right|}}{\left|x\right|}\right)}{\frac{\sqrt{\pi} \cdot \left|x\right|}{e^{\left|x\right| \cdot \left|x\right|}}} + \left(\frac{\sqrt{\frac{1}{\pi}}}{{\left(\left|x\right|\right)}^{7}} \cdot \frac{15}{8}\right) \cdot e^{\left|x\right| \cdot \left|x\right|}}\]
- Using strategy
rm Applied add-cube-cbrt0.5
\[\leadsto \frac{{\left(\frac{1}{\left|x\right|}\right)}^{4} \cdot \frac{3}{4} + \left(1 + \frac{\frac{\frac{1}{2}}{\left|x\right|}}{\left|x\right|}\right)}{\frac{\color{blue}{\left(\sqrt[3]{\sqrt{\pi} \cdot \left|x\right|} \cdot \sqrt[3]{\sqrt{\pi} \cdot \left|x\right|}\right) \cdot \sqrt[3]{\sqrt{\pi} \cdot \left|x\right|}}}{e^{\left|x\right| \cdot \left|x\right|}}} + \left(\frac{\sqrt{\frac{1}{\pi}}}{{\left(\left|x\right|\right)}^{7}} \cdot \frac{15}{8}\right) \cdot e^{\left|x\right| \cdot \left|x\right|}\]
