Error

Try it out

Derivation

1. Split input into 3 regimes

2. if (/ y z) < -6.325383903299805e+174

   1. Initial program 36.6

      \[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]

   2. Initial simplification1.4

      \[\leadsto y \cdot \frac{x}{z}\]

   if -6.325383903299805e+174 < (/ y z) < -2.440607682399938e-278 or 1.1418486332470455e-208 < (/ y z)

   1. Initial program 11.0

      \[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]

   2. Initial simplification8.0

      \[\leadsto y \cdot \frac{x}{z}\]
   3. Using strategy rm

   4. Applied associate-*r/8.9

      \[\leadsto \color{blue}{\frac{y \cdot x}{z}}\]
   5. Using strategy rm

   6. Applied associate-/l*8.0

      \[\leadsto \color{blue}{\frac{y}{\frac{z}{x}}}\]
   7. Using strategy rm

   8. Applied associate-/r/2.4

      \[\leadsto \color{blue}{\frac{y}{z} \cdot x}\]

   if -2.440607682399938e-278 < (/ y z) < 1.1418486332470455e-208

   1. Initial program 17.8

      \[x \cdot \frac{\frac{y}{z} \cdot t}{t}\]

   2. Initial simplification0.3

      \[\leadsto y \cdot \frac{x}{z}\]
   3. Using strategy rm

   4. Applied associate-*r/0.3

      \[\leadsto \color{blue}{\frac{y \cdot x}{z}}\]
3. Recombined 3 regimes into one program.

4. Final simplification1.9

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{y}{z} \le -6.325383903299805 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \frac{x}{z}\\ \mathbf{elif}\;\frac{y}{z} \le -2.440607682399938 \cdot 10^{-278}:\\ \;\;\;\;\frac{y}{z} \cdot x\\ \mathbf{elif}\;\frac{y}{z} \le 1.1418486332470455 \cdot 10^{-208}:\\ \;\;\;\;\frac{x \cdot y}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{y}{z} \cdot x\\ \end{array}\]

Reproduce

herbie shell --seed 2018362 +o rules:numerics
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1"
  (* x (/ (* (/ y z) t) t)))

Details

Time bar (total: 1.5s)Debug log