Average Error: 0.3 → 0.2
Time: 10.2s
Precision: 64
\[\frac{x}{y \cdot 3}\]
↓
\[\frac{\frac{x}{y}}{3}\]
\frac{x}{y \cdot 3}
↓
\frac{\frac{x}{y}}{3}
double f(double x, double y) {
        double r33447350 = x;
        double r33447351 = y;
        double r33447352 = 3.0;
        double r33447353 = r33447351 * r33447352;
        double r33447354 = r33447350 / r33447353;
        return r33447354;
}
↓
double f(double x, double y) {
        double r33447355 = x;
        double r33447356 = y;
        double r33447357 = r33447355 / r33447356;
        double r33447358 = 3.0;
        double r33447359 = r33447357 / r33447358;
        return r33447359;
}

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

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3}\]
  2. Using strategy rm

  3. Applied associate-/r*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

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

  (/ x (* y 3.0)))