\[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]
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: 2.6 s
Input Error: 6.3
Output Error: 3.0
Log: ⚲
Profile: 🕒
\({\left(\sqrt[3]{\frac{y}{\frac{z}{x}}}\right)}^3\)
  1. Started with
    \[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]
    6.3
  2. Applied simplify to get
    \[\color{red}{x \cdot \frac{\frac{y}{z} \cdot t}{t}} \leadsto \color{blue}{x \cdot \frac{y}{z}}\]
    2.7
  3. Using strategy rm
    2.7
  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
    \[\color{red}{{\left(\sqrt[3]{x \cdot \frac{y}{z}}\right)}^3} \leadsto \color{blue}{{\left(\sqrt[3]{{\left(\sqrt[3]{x \cdot \frac{y}{z}}\right)}^3}\right)}^3}\]
    3.1
  7. Applied simplify to get
    \[{\color{red}{\left(\sqrt[3]{{\left(\sqrt[3]{x \cdot \frac{y}{z}}\right)}^3}\right)}}^3 \leadsto {\color{blue}{\left(\sqrt[3]{\frac{y}{\frac{z}{x}}}\right)}}^3\]
    3.0

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)))