\[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]
Test:
Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1
Bits:
128 bits
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Time: 3.4 s
Input Error: 6.5
Output Error: 2.7
Log: ⚲
Profile: 🕒
\(\frac{y}{\frac{z}{x}}\)
  1. Started with
    \[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]
    6.5
  2. Applied simplify to get
    \[\color{red}{x \cdot \frac{\frac{y}{z} \cdot t}{t}} \leadsto \color{blue}{x \cdot \frac{y}{z}}\]
    2.8
  3. Using strategy rm
    2.8
  4. Applied add-cube-cbrt to get
    \[\color{red}{x \cdot \frac{y}{z}} \leadsto \color{blue}{{\left(\sqrt[3]{x \cdot \frac{y}{z}}\right)}^3}\]
    3.1
  5. Using strategy rm
    3.1
  6. Applied add-cube-cbrt to get
    \[{\color{red}{\left(\sqrt[3]{x \cdot \frac{y}{z}}\right)}}^3 \leadsto {\color{blue}{\left({\left(\sqrt[3]{\sqrt[3]{x \cdot \frac{y}{z}}}\right)}^3\right)}}^3\]
    3.7
  7. Applied taylor to get
    \[{\left({\left(\sqrt[3]{\sqrt[3]{x \cdot \frac{y}{z}}}\right)}^3\right)}^3 \leadsto {\left({\left(\sqrt[3]{\sqrt[3]{\frac{y \cdot x}{z}}}\right)}^3\right)}^3\]
    3.7
  8. Taylor expanded around 0 to get
    \[{\left({\left(\sqrt[3]{\color{red}{\sqrt[3]{\frac{y \cdot x}{z}}}}\right)}^3\right)}^3 \leadsto {\left({\left(\sqrt[3]{\color{blue}{\sqrt[3]{\frac{y \cdot x}{z}}}}\right)}^3\right)}^3\]
    3.7
  9. Applied simplify to get
    \[{\left({\left(\sqrt[3]{\sqrt[3]{\frac{y \cdot x}{z}}}\right)}^3\right)}^3 \leadsto \frac{y}{\frac{z}{x}}\]
    2.7
  10. Applied final simplification

Original test:


(lambda ((x default) (y default) (z default) (t default))
  #:name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1"
  (* x (/ (* (/ y z) t) t)))