Error

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Derivation

1. Split input into 2 regimes

2. if (/ y z) < -9.366595038322077e+241 or -1.0920028912698875e-17 < (/ y z) < 1.1709972192635315e-251

   1. Initial program 16.7

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

   2. Initial simplification3.2

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

   3. Taylor expanded around -inf 2.6

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

   if -9.366595038322077e+241 < (/ y z) < -1.0920028912698875e-17 or 1.1709972192635315e-251 < (/ y z)

   1. Initial program 11.8

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

   2. Initial simplification8.8

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

   3. Taylor expanded around -inf 8.3

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

   5. Applied associate-/l*2.5

      \[\leadsto \color{blue}{\frac{x}{\frac{z}{y}}}\]
3. Recombined 2 regimes into one program.

4. Final simplification2.5

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{y}{z} \le -9.366595038322077 \cdot 10^{+241}:\\ \;\;\;\;\frac{x \cdot y}{z}\\ \mathbf{elif}\;\frac{y}{z} \le -1.0920028912698875 \cdot 10^{-17}:\\ \;\;\;\;\frac{x}{\frac{z}{y}}\\ \mathbf{elif}\;\frac{y}{z} \le 1.1709972192635315 \cdot 10^{-251}:\\ \;\;\;\;\frac{x \cdot y}{z}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{\frac{z}{y}}\\ \end{array}\]

Reproduce

herbie shell --seed 2018360 +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: 6.3s)Debug log