Average Error: 4.9 → 0.1
Time: 17.3s
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 r402255 = x;
        double r402256 = y;
        double r402257 = r402256 * r402256;
        double r402258 = r402255 / r402257;
        double r402259 = 3.0;
        double r402260 = r402258 - r402259;
        return r402260;
}
↓
double f(double x, double y) {
        double r402261 = x;
        double r402262 = y;
        double r402263 = r402261 / r402262;
        double r402264 = r402263 / r402262;
        double r402265 = 3.0;
        double r402266 = r402264 - r402265;
        return r402266;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.9
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 4.9

    \[\frac{x}{y \cdot y} - 3\]
  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 2020034 +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))