if z < -4843975.5f0 or 107424.22f0 < z

1. Started with
   \[(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)\]
   29.6
2. Using strategy rm
   29.6
3. Applied add-exp-log to get
   \[(x * y + z)_* - \left(1 + \color{red}{\left(x \cdot y + z\right)}\right) \leadsto (x * y + z)_* - \left(1 + \color{blue}{e^{\log \left(x \cdot y + z\right)}}\right)\]
   30.6
4. Applied taylor to get
   \[(x * y + z)_* - \left(1 + e^{\log \left(x \cdot y + z\right)}\right) \leadsto (\left(\frac{-1}{x}\right) * \left(\frac{-1}{y}\right) + \left(\frac{-1}{z}\right))_* - \left(e^{-\left(\log y + \log x\right)} + 1\right)\]
   27.0
5. Taylor expanded around -inf to get
   \[\color{red}{(\left(\frac{-1}{x}\right) * \left(\frac{-1}{y}\right) + \left(\frac{-1}{z}\right))_* - \left(e^{-\left(\log y + \log x\right)} + 1\right)} \leadsto \color{blue}{(\left(\frac{-1}{x}\right) * \left(\frac{-1}{y}\right) + \left(\frac{-1}{z}\right))_* - \left(e^{-\left(\log y + \log x\right)} + 1\right)}\]
   27.0
6. Applied simplify to get
   \[(\left(\frac{-1}{x}\right) * \left(\frac{-1}{y}\right) + \left(\frac{-1}{z}\right))_* - \left(e^{-\left(\log y + \log x\right)} + 1\right) \leadsto \left((\left(\frac{-1}{x}\right) * \left(\frac{-1}{y}\right) + \left(\frac{-1}{z}\right))_* - \frac{\frac{1}{x}}{y}\right) - 1\]
   6.4

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7. Applied final simplification

if -4843975.5f0 < z < 107424.22f0

1. Started with
   \[(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)\]
   12.7
2. Using strategy rm
   12.7
3. Applied associate--r+ to get
   \[\color{red}{(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)} \leadsto \color{blue}{\left((x * y + z)_* - 1\right) - \left(x \cdot y + z\right)}\]
   9.9
4. Using strategy rm
   9.9
5. Applied add-log-exp to get
   \[\left((x * y + z)_* - 1\right) - \color{red}{\left(x \cdot y + z\right)} \leadsto \left((x * y + z)_* - 1\right) - \color{blue}{\log \left(e^{x \cdot y + z}\right)}\]
   16.2
6. Applied add-log-exp to get
   \[\color{red}{\left((x * y + z)_* - 1\right)} - \log \left(e^{x \cdot y + z}\right) \leadsto \color{blue}{\log \left(e^{(x * y + z)_* - 1}\right)} - \log \left(e^{x \cdot y + z}\right)\]
   16.5
7. Applied diff-log to get
   \[\color{red}{\log \left(e^{(x * y + z)_* - 1}\right) - \log \left(e^{x \cdot y + z}\right)} \leadsto \color{blue}{\log \left(\frac{e^{(x * y + z)_* - 1}}{e^{x \cdot y + z}}\right)}\]
   16.5
8. Applied simplify to get
   \[\log \color{red}{\left(\frac{e^{(x * y + z)_* - 1}}{e^{x \cdot y + z}}\right)} \leadsto \log \color{blue}{\left(e^{\left((x * y + z)_* - \left(1 + z\right)\right) - y \cdot x}\right)}\]
   10.8
9. Applied taylor to get
   \[\log \left(e^{\left((x * y + z)_* - \left(1 + z\right)\right) - y \cdot x}\right) \leadsto \log \left(e^{(x * y + z)_* - \left(y \cdot x + \left(1 + z\right)\right)}\right)\]
   12.7
10. Taylor expanded around 0 to get
    \[\log \left(e^{\color{red}{(x * y + z)_* - \left(y \cdot x + \left(1 + z\right)\right)}}\right) \leadsto \log \left(e^{\color{blue}{(x * y + z)_* - \left(y \cdot x + \left(1 + z\right)\right)}}\right)\]
    12.7
11. Applied simplify to get
    \[\log \left(e^{(x * y + z)_* - \left(y \cdot x + \left(1 + z\right)\right)}\right) \leadsto \left((x * y + z)_* - y \cdot x\right) - \left(z + 1\right)\]
    6.2

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12. Applied final simplification