Average Error: 0.3 → 0.2
Time: 12.0s
Precision: 64
\[\frac{x}{y \cdot 3.0}\]
↓
\[\frac{\frac{x}{y}}{3.0}\]
\frac{x}{y \cdot 3.0}
↓
\frac{\frac{x}{y}}{3.0}
double f(double x, double y) {
        double r38195225 = x;
        double r38195226 = y;
        double r38195227 = 3.0;
        double r38195228 = r38195226 * r38195227;
        double r38195229 = r38195225 / r38195228;
        return r38195229;
}
↓
double f(double x, double y) {
        double r38195230 = x;
        double r38195231 = y;
        double r38195232 = r38195230 / r38195231;
        double r38195233 = 3.0;
        double r38195234 = r38195232 / r38195233;
        return r38195234;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.2
Herbie0.2
\[\frac{\frac{x}{y}}{3.0}\]

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3.0}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.3

    \[\leadsto \frac{\color{blue}{1 \cdot x}}{y \cdot 3.0}\]

  4. Applied times-frac0.3

    \[\leadsto \color{blue}{\frac{1}{y} \cdot \frac{x}{3.0}}\]
  5. Using strategy rm

  6. Applied associate-*r/0.3

    \[\leadsto \color{blue}{\frac{\frac{1}{y} \cdot x}{3.0}}\]

  7. Simplified0.2

    \[\leadsto \frac{\color{blue}{\frac{x}{y}}}{3.0}\]

  8. Final simplification0.2

    \[\leadsto \frac{\frac{x}{y}}{3.0}\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

  :herbie-target
  (/ (/ x y) 3.0)

  (/ x (* y 3.0)))