Average Error: 5.3 → 0.1
Time: 18.0s
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 r190360 = x;
        double r190361 = y;
        double r190362 = r190361 * r190361;
        double r190363 = r190360 / r190362;
        double r190364 = 3.0;
        double r190365 = r190363 - r190364;
        return r190365;
}
↓
double f(double x, double y) {
        double r190366 = x;
        double r190367 = y;
        double r190368 = r190366 / r190367;
        double r190369 = r190368 / r190367;
        double r190370 = 3.0;
        double r190371 = r190369 - r190370;
        return r190371;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 5.3

    \[\frac{x}{y \cdot y} - 3\]
  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 2019326 
(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))