Average Error: 0.2 → 0.2
Time: 9.2s
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 r569848 = x;
        double r569849 = y;
        double r569850 = 3.0;
        double r569851 = r569849 * r569850;
        double r569852 = r569848 / r569851;
        return r569852;
}
↓
double f(double x, double y) {
        double r569853 = x;
        double r569854 = 3.0;
        double r569855 = r569853 / r569854;
        double r569856 = y;
        double r569857 = r569855 / r569856;
        return r569857;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.2

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

  2. Simplified0.2

    \[\leadsto \color{blue}{\frac{x}{3 \cdot y}}\]
  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 2019195 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"

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

  (/ x (* y 3.0)))