Average Error: 4.8 → 0.1
Time: 2.2s
Precision: 64
\[\frac{x}{y \cdot y} - 3\]
↓
\[\frac{\frac{x}{y}}{y} - 3\]
\frac{x}{y \cdot y} - 3
↓
\frac{\frac{x}{y}}{y} - 3
double f(double x, double y) {
        double r267885 = x;
        double r267886 = y;
        double r267887 = r267886 * r267886;
        double r267888 = r267885 / r267887;
        double r267889 = 3.0;
        double r267890 = r267888 - r267889;
        return r267890;
}
↓
double f(double x, double y) {
        double r267891 = x;
        double r267892 = y;
        double r267893 = r267891 / r267892;
        double r267894 = r267893 / r267892;
        double r267895 = 3.0;
        double r267896 = r267894 - r267895;
        return r267896;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.8
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 4.8

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

  3. Applied associate-/r*0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020001 +o rules:numerics
(FPCore (x y)
  :name "Statistics.Sample:$skurtosis from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (- (/ (/ x y) y) 3)

  (- (/ x (* y y)) 3))