\(\frac{\pi}{\left(\frac{1}{120} \cdot \frac{\sqrt{{\pi}^{9}}}{\frac{\sqrt{2}}{{z}^{5}}} - \frac{\sqrt{{\pi}^{5}} \cdot \left({z}^3 \cdot \frac{1}{6}\right)}{\sqrt{2}}\right) + \frac{\sqrt{\pi} \cdot z}{\sqrt{2}}} \cdot \frac{\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{8 - z} + \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \frac{-0.13857109526572012}{\left(0 - z\right) + 6}\right) + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)}{\frac{e^{0.5 - \left(z - 7\right)}}{{\left(0.5 - \left(z - 7\right)\right)}^{\left(0.5 - z\right)}}}\)
- Started with
\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]
2.3
- Applied simplify to get
\[\color{red}{\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)} \leadsto \color{blue}{\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}}\]
1.8
- Using strategy
rm 1.8
- Applied sqrt-prod to get
\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \color{red}{\sqrt{\pi \cdot 2}}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \color{blue}{\left(\sqrt{\pi} \cdot \sqrt{2}\right)}}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\]
1.1
- Applied taylor to get
\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \left(\sqrt{\pi} \cdot \sqrt{2}\right)}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}} \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \left(\sqrt{\pi} \cdot \sqrt{2}\right)}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + -1 \cdot z}}\]
1.1
- Taylor expanded around 0 to get
\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \left(\sqrt{\pi} \cdot \sqrt{2}\right)}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \color{red}{-1 \cdot z}}} \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \left(\sqrt{\pi} \cdot \sqrt{2}\right)}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + \color{blue}{-1 \cdot z}}}\]
1.1
- Applied simplify to get
\[\color{red}{\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot \frac{\frac{\pi \cdot \left(\sqrt{\pi} \cdot \sqrt{2}\right)}{\sin \left(z \cdot \pi\right)} \cdot {\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}{e^{\left(0.5 + 7\right) + -1 \cdot z}}} \leadsto \color{blue}{\frac{\frac{\pi}{\frac{\sin \left(\pi \cdot z\right)}{\sqrt{2} \cdot \sqrt{\pi}}}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right)}\]
1.3
- Applied taylor to get
\[\frac{\frac{\pi}{\frac{\sin \left(\pi \cdot z\right)}{\sqrt{2} \cdot \sqrt{\pi}}}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right) \leadsto \frac{\frac{\pi}{\left(\frac{1}{120} \cdot \left(\sqrt{{\pi}^{9}} \cdot \frac{{z}^{5}}{\sqrt{2}}\right) + \sqrt{\pi} \cdot \frac{z}{\sqrt{2}}\right) - \frac{1}{6} \cdot \left(\sqrt{{\pi}^{5}} \cdot \frac{{z}^{3}}{\sqrt{2}}\right)}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right)\]
0.7
- Taylor expanded around 0 to get
\[\frac{\frac{\pi}{\color{red}{\left(\frac{1}{120} \cdot \left(\sqrt{{\pi}^{9}} \cdot \frac{{z}^{5}}{\sqrt{2}}\right) + \sqrt{\pi} \cdot \frac{z}{\sqrt{2}}\right) - \frac{1}{6} \cdot \left(\sqrt{{\pi}^{5}} \cdot \frac{{z}^{3}}{\sqrt{2}}\right)}}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right) \leadsto \frac{\frac{\pi}{\color{blue}{\left(\frac{1}{120} \cdot \left(\sqrt{{\pi}^{9}} \cdot \frac{{z}^{5}}{\sqrt{2}}\right) + \sqrt{\pi} \cdot \frac{z}{\sqrt{2}}\right) - \frac{1}{6} \cdot \left(\sqrt{{\pi}^{5}} \cdot \frac{{z}^{3}}{\sqrt{2}}\right)}}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right)\]
0.7
- Applied simplify to get
\[\frac{\frac{\pi}{\left(\frac{1}{120} \cdot \left(\sqrt{{\pi}^{9}} \cdot \frac{{z}^{5}}{\sqrt{2}}\right) + \sqrt{\pi} \cdot \frac{z}{\sqrt{2}}\right) - \frac{1}{6} \cdot \left(\sqrt{{\pi}^{5}} \cdot \frac{{z}^{3}}{\sqrt{2}}\right)}}{\frac{e^{7 + \left(0.5 - z\right)}}{{\left(7 + \left(0.5 - z\right)\right)}^{\left(0.5 - z\right)}}} \cdot \left(\left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(\left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right)\right) + \left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)\right)\right) \leadsto \frac{\pi \cdot \left(\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{8 - z} + 0.9999999999998099\right) + \frac{676.5203681218851}{1 - z}\right) + \left(\frac{771.3234287776531}{\left(3 + 1\right) - \left(1 + z\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right) + \frac{9.984369578019572 \cdot 10^{-06}}{7 - z}\right)\right)}{\frac{e^{0.5 - \left(z - 7\right)}}{{\left(0.5 - \left(z - 7\right)\right)}^{\left(0.5 - z\right)}} \cdot \left(\frac{z}{\frac{\sqrt{2}}{\sqrt{\pi}}} + \left(\frac{1}{120} \cdot \frac{\sqrt{{\pi}^{9}}}{\frac{\sqrt{2}}{{z}^{5}}} - \left(\frac{{z}^3}{\sqrt{2}} \cdot \frac{1}{6}\right) \cdot \sqrt{{\pi}^{5}}\right)\right)}\]
0.5
- Applied final simplification
- Applied simplify to get
\[\color{red}{\frac{\pi \cdot \left(\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{8 - z} + 0.9999999999998099\right) + \frac{676.5203681218851}{1 - z}\right) + \left(\frac{771.3234287776531}{\left(3 + 1\right) - \left(1 + z\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right) + \frac{9.984369578019572 \cdot 10^{-06}}{7 - z}\right)\right)}{\frac{e^{0.5 - \left(z - 7\right)}}{{\left(0.5 - \left(z - 7\right)\right)}^{\left(0.5 - z\right)}} \cdot \left(\frac{z}{\frac{\sqrt{2}}{\sqrt{\pi}}} + \left(\frac{1}{120} \cdot \frac{\sqrt{{\pi}^{9}}}{\frac{\sqrt{2}}{{z}^{5}}} - \left(\frac{{z}^3}{\sqrt{2}} \cdot \frac{1}{6}\right) \cdot \sqrt{{\pi}^{5}}\right)\right)}} \leadsto \color{blue}{\frac{\pi}{\left(\frac{1}{120} \cdot \frac{\sqrt{{\pi}^{9}}}{\frac{\sqrt{2}}{{z}^{5}}} - \frac{\sqrt{{\pi}^{5}} \cdot \left({z}^3 \cdot \frac{1}{6}\right)}{\sqrt{2}}\right) + \frac{\sqrt{\pi} \cdot z}{\sqrt{2}}} \cdot \frac{\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{8 - z} + \left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right)\right) + \left(\frac{771.3234287776531}{\left(0 - z\right) + 3} + \frac{-1259.1392167224028}{\left(0 - z\right) + 2}\right)\right) + \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{7 - z} + \frac{-0.13857109526572012}{\left(0 - z\right) + 6}\right) + \left(\frac{-176.6150291621406}{4 - z} + \frac{12.507343278686905}{5 - z}\right)\right)}{\frac{e^{0.5 - \left(z - 7\right)}}{{\left(0.5 - \left(z - 7\right)\right)}^{\left(0.5 - z\right)}}}}\]
0.5
- Removed slow pow expressions
