Average Error: 0.3 → 0.2
Time: 7.8s
Precision: 64
\[\frac{x}{y \cdot 3}\]
↓
\[\frac{\frac{x}{3}}{y}\]
\frac{x}{y \cdot 3}
↓
\frac{\frac{x}{3}}{y}
double f(double x, double y) {
        double r635184 = x;
        double r635185 = y;
        double r635186 = 3.0;
        double r635187 = r635185 * r635186;
        double r635188 = r635184 / r635187;
        return r635188;
}
↓
double f(double x, double y) {
        double r635189 = x;
        double r635190 = 3.0;
        double r635191 = r635189 / r635190;
        double r635192 = y;
        double r635193 = r635191 / r635192;
        return r635193;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3}\]

  2. Simplified0.3

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

  4. Applied associate-/r*0.2

    \[\leadsto \color{blue}{\frac{\frac{x}{3}}{y}}\]

  5. Final simplification0.2

    \[\leadsto \frac{\frac{x}{3}}{y}\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

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

  (/ x (* y 3.0)))