Average Error: 0.3 → 0.3
Time: 15.6s
Precision: 64
\[\frac{x}{y \cdot 3.0}\]
↓
\[\frac{x}{3.0 \cdot y}\]
\frac{x}{y \cdot 3.0}
↓
\frac{x}{3.0 \cdot y}
double f(double x, double y) {
        double r34938124 = x;
        double r34938125 = y;
        double r34938126 = 3.0;
        double r34938127 = r34938125 * r34938126;
        double r34938128 = r34938124 / r34938127;
        return r34938128;
}
↓
double f(double x, double y) {
        double r34938129 = x;
        double r34938130 = 3.0;
        double r34938131 = y;
        double r34938132 = r34938130 * r34938131;
        double r34938133 = r34938129 / r34938132;
        return r34938133;
}

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

Derivation

  1. Initial program 0.3

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

  3. Applied associate-/r*0.2

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

  5. Applied div-inv0.3

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

  6. Applied associate-/l*0.4

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

  7. Simplified0.3

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

  8. Final simplification0.3

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

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

  (/ x (* y 3.0)))