if z < -0.002604022f0

1. Started with
   \[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8}\right)\]
   5.9
2. Applied simplify to get
   \[\color{red}{\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8}\right)} \leadsto \color{blue}{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\]
   4.6
3. Using strategy rm
   4.6
4. Applied add-cube-cbrt to get
   \[\color{red}{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}} \leadsto \color{blue}{{\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3}\]
   4.6
5. Applied taylor to get
   \[{\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3 \leadsto {\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \left(\left(1.6640615963365953 \cdot 10^{-06} + 4.622393323157209 \cdot 10^{-08} \cdot {z}^2\right) - 2.7734359938943256 \cdot 10^{-07} \cdot z\right)\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3\]
   4.6
6. Taylor expanded around 0 to get
   \[{\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \color{red}{\left(\left(1.6640615963365953 \cdot 10^{-06} + 4.622393323157209 \cdot 10^{-08} \cdot {z}^2\right) - 2.7734359938943256 \cdot 10^{-07} \cdot z\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3 \leadsto {\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \color{blue}{\left(\left(1.6640615963365953 \cdot 10^{-06} + 4.622393323157209 \cdot 10^{-08} \cdot {z}^2\right) - 2.7734359938943256 \cdot 10^{-07} \cdot z\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3\]
   4.6
7. Applied simplify to get
   \[{\left(\sqrt[3]{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \left(\left(1.6640615963365953 \cdot 10^{-06} + 4.622393323157209 \cdot 10^{-08} \cdot {z}^2\right) - 2.7734359938943256 \cdot 10^{-07} \cdot z\right)\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\right)}^3 \leadsto \left(\left(\left(\frac{-1259.1392167224028}{\left(2 + z\right) - 1} + \frac{771.3234287776531}{z - \left(1 - 3\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{z - 0}\right) + \frac{-176.6150291621406}{z - \left(1 - 4\right)}\right)\right) + \left(\left(\frac{-0.13857109526572012}{z - \left(1 - 6\right)} + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{z - \left(1 - 8\right)} + \left(4.622393323157209 \cdot 10^{-08} \cdot \left(z \cdot z\right) + \left(1.6640615963365953 \cdot 10^{-06} - 2.7734359938943256 \cdot 10^{-07} \cdot z\right)\right)\right)\right)\right) \cdot \frac{{\left(\left(z + 7\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)}}{\frac{e^{\left(z + 7\right) - \left(1 - 0.5\right)}}{\sqrt{\pi \cdot 2}}}\]
   4.5

---

8. Applied final simplification

if -0.002604022f0 < z

1. Started with
   \[\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8}\right)\]
   27.6
2. Applied simplify to get
   \[\color{red}{\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}^{\left(\left(z - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(z - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(z - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(z - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(z - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(z - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(z - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8}\right)} \leadsto \color{blue}{\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}}}\]
   11.4
3. Applied taylor to get
   \[\left(\left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{\left(z - 1\right) + 8} + \frac{9.984369578019572 \cdot 10^{-06}}{7 + \left(z - 1\right)}\right) + \left(\frac{-0.13857109526572012}{\left(z - 1\right) + 6} + \frac{12.507343278686905}{\left(5 + z\right) - 1}\right)\right) + \left(\left(\left(\frac{676.5203681218851}{z - 0} + 0.9999999999998099\right) + \frac{-176.6150291621406}{\left(z - 1\right) + 4}\right) + \left(\frac{-1259.1392167224028}{z - \left(1 - 2\right)} + \frac{771.3234287776531}{\left(z - 1\right) + 3}\right)\right)\right) \cdot \frac{{\left(\left(7 + z\right) - \left(1 - 0.5\right)\right)}^{\left(0.5 + \left(z - 1\right)\right)} \cdot \sqrt{2 \cdot \pi}}{e^{\left(7 + z\right) - \left(1 - 0.5\right)}} \leadsto \left(2585.1948787825354 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right) - \left(1656.8104518737205 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 1656.8104518737205 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\]
   0.1
4. Taylor expanded around 0 to get
   \[\color{red}{\left(2585.1948787825354 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right) - \left(1656.8104518737205 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 1656.8104518737205 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)} \leadsto \color{blue}{\left(2585.1948787825354 \cdot \left(\frac{z \cdot \sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(338.26018406094255 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot {\left(\log 6.5\right)}^2\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + \left(676.5203681218851 \cdot \left(\frac{\sqrt{2}}{e^{6.5} \cdot z} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 676.5203681218851 \cdot \left(\frac{\sqrt{2} \cdot \log 6.5}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)\right)\right) - \left(1656.8104518737205 \cdot \left(\frac{\sqrt{2}}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right) + 1656.8104518737205 \cdot \left(\frac{z \cdot \left(\sqrt{2} \cdot \log 6.5\right)}{e^{6.5}} \cdot \left(\sqrt{\pi} \cdot {\left(\frac{1}{{6.5}^{1.0}}\right)}^{0.5}\right)\right)\right)}\]
   0.1