Average Error: 5.0 → 0.1
Time: 8.1s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{1}{\frac{y}{\frac{x}{y}}} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{1}{\frac{y}{\frac{x}{y}}} - 3.0
double f(double x, double y) {
        double r5686762 = x;
        double r5686763 = y;
        double r5686764 = r5686763 * r5686763;
        double r5686765 = r5686762 / r5686764;
        double r5686766 = 3.0;
        double r5686767 = r5686765 - r5686766;
        return r5686767;
}
↓
double f(double x, double y) {
        double r5686768 = 1.0;
        double r5686769 = y;
        double r5686770 = x;
        double r5686771 = r5686770 / r5686769;
        double r5686772 = r5686769 / r5686771;
        double r5686773 = r5686768 / r5686772;
        double r5686774 = 3.0;
        double r5686775 = r5686773 - r5686774;
        return r5686775;
}

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

Original5.0
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3.0\]

Derivation

  1. Initial program 5.0

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

  3. Applied associate-/r*0.1

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

  5. Applied clear-num0.1

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

  6. Final simplification0.1

    \[\leadsto \frac{1}{\frac{y}{\frac{x}{y}}} - 3.0\]

Reproduce

herbie shell --seed 2019156 
(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))