if a < 22.956736f0

1. Started with
   \[(e^{\tan \left(a \cdot a\right) - a} - 1)^* - a\]
   0.2
2. Applied simplify to get
   \[\color{red}{(e^{\tan \left(a \cdot a\right) - a} - 1)^* - a} \leadsto \color{blue}{(e^{\tan \left({a}^2\right) - a} - 1)^* - a}\]
   0.2
3. Using strategy rm
   0.2
4. Applied add-sqr-sqrt to get
   \[(e^{\color{red}{\tan \left({a}^2\right)} - a} - 1)^* - a \leadsto (e^{\color{blue}{{\left(\sqrt{\tan \left({a}^2\right)}\right)}^2} - a} - 1)^* - a\]
   0.2
5. Using strategy rm
   0.2
6. Applied tan-cotan to get
   \[(e^{{\left(\sqrt{\color{red}{\tan \left({a}^2\right)}}\right)}^2 - a} - 1)^* - a \leadsto (e^{{\left(\sqrt{\color{blue}{\frac{1}{\cot \left({a}^2\right)}}}\right)}^2 - a} - 1)^* - a\]
   0.2
7. Applied sqrt-div to get
   \[(e^{{\color{red}{\left(\sqrt{\frac{1}{\cot \left({a}^2\right)}}\right)}}^2 - a} - 1)^* - a \leadsto (e^{{\color{blue}{\left(\frac{\sqrt{1}}{\sqrt{\cot \left({a}^2\right)}}\right)}}^2 - a} - 1)^* - a\]
   0.2
8. Using strategy rm
   0.2
9. Applied add-cube-cbrt to get
   \[(e^{{\left(\frac{\sqrt{1}}{\color{red}{\sqrt{\cot \left({a}^2\right)}}}\right)}^2 - a} - 1)^* - a \leadsto (e^{{\left(\frac{\sqrt{1}}{\color{blue}{{\left(\sqrt[3]{\sqrt{\cot \left({a}^2\right)}}\right)}^3}}\right)}^2 - a} - 1)^* - a\]
   0.2

if 22.956736f0 < a

1. Started with
   \[(e^{\tan \left(a \cdot a\right) - a} - 1)^* - a\]
   16.5
2. Applied simplify to get
   \[\color{red}{(e^{\tan \left(a \cdot a\right) - a} - 1)^* - a} \leadsto \color{blue}{(e^{\tan \left({a}^2\right) - a} - 1)^* - a}\]
   16.5
3. Applied taylor to get
   \[(e^{\tan \left({a}^2\right) - a} - 1)^* - a \leadsto (e^{\frac{\sin \left(\frac{1}{{a}^2}\right)}{\cos \left(\frac{1}{{a}^2}\right)} - a} - 1)^* - a\]
   0.0
4. Taylor expanded around inf to get
   \[(e^{\color{red}{\frac{\sin \left(\frac{1}{{a}^2}\right)}{\cos \left(\frac{1}{{a}^2}\right)}} - a} - 1)^* - a \leadsto (e^{\color{blue}{\frac{\sin \left(\frac{1}{{a}^2}\right)}{\cos \left(\frac{1}{{a}^2}\right)}} - a} - 1)^* - a\]
   0.0