Average Error: 5.2 → 0.1
Time: 10.0s
Precision: 64
\[\frac{x}{y \cdot y} - 3\]
↓
\[\frac{1}{\frac{y}{x} \cdot y} - 3\]
\frac{x}{y \cdot y} - 3
↓
\frac{1}{\frac{y}{x} \cdot y} - 3
double f(double x, double y) {
        double r17247077 = x;
        double r17247078 = y;
        double r17247079 = r17247078 * r17247078;
        double r17247080 = r17247077 / r17247079;
        double r17247081 = 3.0;
        double r17247082 = r17247080 - r17247081;
        return r17247082;
}
↓
double f(double x, double y) {
        double r17247083 = 1.0;
        double r17247084 = y;
        double r17247085 = x;
        double r17247086 = r17247084 / r17247085;
        double r17247087 = r17247086 * r17247084;
        double r17247088 = r17247083 / r17247087;
        double r17247089 = 3.0;
        double r17247090 = r17247088 - r17247089;
        return r17247090;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.2
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 5.2

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

  3. Applied associate-/r*0.1

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

  5. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{y}{\frac{x}{y}}}} - 3\]
  6. Using strategy rm

  7. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{\frac{y}{\frac{x}{y}}}{1}}} - 3\]

  8. Simplified0.1

    \[\leadsto \frac{1}{\color{blue}{\frac{y}{x} \cdot y}} - 3\]

  9. Final simplification0.1

    \[\leadsto \frac{1}{\frac{y}{x} \cdot y} - 3\]

Reproduce

herbie shell --seed 2019179 
(FPCore (x y)
  :name "Statistics.Sample:$skurtosis from math-functions-0.1.5.2"

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

  (- (/ x (* y y)) 3.0))