Average Error: 0.1 → 0.1
Time: 25.8s
Precision: 64
Internal Precision: 320
\[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]
↓
\[\frac{e \cdot \sin v}{1 + \left(\sqrt[3]{e \cdot \cos v} \cdot \sqrt[3]{e \cdot \cos v}\right) \cdot \sqrt[3]{e \cdot \cos v}}\]

Error

Bits error versus e

Bits error versus v

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{e \cdot \sin v}{1 + e \cdot \cos v}\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.1

    \[\leadsto \frac{e \cdot \sin v}{1 + \color{blue}{\left(\sqrt[3]{e \cdot \cos v} \cdot \sqrt[3]{e \cdot \cos v}\right) \cdot \sqrt[3]{e \cdot \cos v}}}\]

Runtime

Time bar (total: 25.8s)Debug logProfile

herbie shell --seed 2018201 +o rules:numerics
(FPCore (e v)
  :name "Trigonometry A"
  :pre (<= 0 e 1)
  (/ (* e (sin v)) (+ 1 (* e (cos v)))))