\(\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\frac{771.3234287776531 \cdot \left(2 - z\right) + -1259.1392167224028 \cdot \left(3 - z\right)}{\left(2 - z\right) \cdot \left(3 - z\right)} + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3\)
- Started with
\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]
2.0
- 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)}}}\]
2.1
- Using strategy
rm 2.1
- Applied add-cube-cbrt 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 \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)}}{\color{red}{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 \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)}}{\color{blue}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}}\]
1.8
- Applied add-cube-cbrt 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 \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot \color{red}{{\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)}}}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3} \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 \sqrt{\pi \cdot 2}}{\sin \left(z \cdot \pi\right)} \cdot \color{blue}{{\left(\sqrt[3]{{\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)}}\right)}^3}}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}\]
0.8
- Applied add-cube-cbrt 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 \sqrt{\pi \cdot 2}}{\color{red}{\sin \left(z \cdot \pi\right)}} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3} \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 \sqrt{\pi \cdot 2}}{\color{blue}{{\left(\sqrt[3]{\sin \left(z \cdot \pi\right)}\right)}^3}} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}\]
1.2
- Applied add-cube-cbrt 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{\color{red}{\pi \cdot \sqrt{\pi \cdot 2}}}{{\left(\sqrt[3]{\sin \left(z \cdot \pi\right)}\right)}^3} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3} \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{\color{blue}{{\left(\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}\right)}^3}}{{\left(\sqrt[3]{\sin \left(z \cdot \pi\right)}\right)}^3} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}\]
1.2
- Applied cube-undiv 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{\color{red}{\frac{{\left(\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}\right)}^3}{{\left(\sqrt[3]{\sin \left(z \cdot \pi\right)}\right)}^3}} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3} \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{\color{blue}{{\left(\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}}\right)}^3} \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}\]
1.2
- Applied cube-unprod 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{\color{red}{{\left(\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}}\right)}^3 \cdot {\left(\sqrt[3]{{\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)}}\right)}^3}}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3} \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{\color{blue}{{\left(\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}} \cdot \sqrt[3]{{\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)}}\right)}^3}}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}\]
1.2
- Applied cube-undiv 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 \color{red}{\frac{{\left(\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}} \cdot \sqrt[3]{{\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)}}\right)}^3}{{\left(\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}\right)}^3}} \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 \color{blue}{{\left(\frac{\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}} \cdot \sqrt[3]{{\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)}}}{\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}}\right)}^3}\]
1.2
- Applied simplify to get
\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot {\color{red}{\left(\frac{\frac{\sqrt[3]{\pi \cdot \sqrt{\pi \cdot 2}}}{\sqrt[3]{\sin \left(z \cdot \pi\right)}} \cdot \sqrt[3]{{\left(\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)\right)}^{\left(\left(1 + 0.5\right) - \left(1 + z\right)\right)}}}{\sqrt[3]{e^{\left(0.5 + 7\right) + \left(1 - \left(1 + z\right)\right)}}}\right)}}^3 \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\left(\frac{771.3234287776531}{\left(1 - z\right) - \left(1 - 3\right)} + \frac{-1259.1392167224028}{\left(1 - z\right) - \left(1 - 2\right)}\right) + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot {\color{blue}{\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}}^3\]
1.2
- Using strategy
rm 1.2
- Applied frac-add 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(\color{red}{\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 {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3 \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(\color{blue}{\frac{771.3234287776531 \cdot \left(\left(1 - z\right) - \left(1 - 2\right)\right) + \left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot -1259.1392167224028}{\left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot \left(\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 {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3\]
1.2
- Applied simplify 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(\frac{\color{red}{771.3234287776531 \cdot \left(\left(1 - z\right) - \left(1 - 2\right)\right) + \left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot -1259.1392167224028}}{\left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot \left(\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 {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3 \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(\frac{\color{blue}{771.3234287776531 \cdot \left(2 - z\right) + -1259.1392167224028 \cdot \left(3 - z\right)}}{\left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot \left(\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 {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3\]
1.2
- Applied simplify to get
\[\left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\frac{771.3234287776531 \cdot \left(2 - z\right) + -1259.1392167224028 \cdot \left(3 - z\right)}{\color{red}{\left(\left(1 - z\right) - \left(1 - 3\right)\right) \cdot \left(\left(1 - z\right) - \left(1 - 2\right)\right)}} + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3 \leadsto \left(\left(\left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) - \left(1 - 6\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - \left(1 - 7\right)}\right) + \left(\frac{-176.6150291621406}{\left(4 + 1\right) - \left(1 + z\right)} + \frac{12.507343278686905}{\left(1 + 5\right) - \left(1 + z\right)}\right)\right) + \left(\frac{771.3234287776531 \cdot \left(2 - z\right) + -1259.1392167224028 \cdot \left(3 - z\right)}{\color{blue}{\left(2 - z\right) \cdot \left(3 - z\right)}} + \left(0.9999999999998099 + \frac{676.5203681218851}{\left(1 - z\right) - 0}\right)\right)\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(1 + 8\right) - \left(1 + z\right)}\right) \cdot {\left(\frac{\sqrt[3]{{\left(\left(0.5 - z\right) + 7\right)}^{\left(0.5 - z\right)}} \cdot \sqrt[3]{\pi \cdot \sqrt{2 \cdot \pi}}}{\sqrt[3]{\sin \left(\pi \cdot z\right)} \cdot \sqrt[3]{e^{\left(0.5 - z\right) + 7}}}\right)}^3\]
1.2