Average Error: 4.9 → 0.1
Time: 5.5s
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 r241367 = x;
        double r241368 = y;
        double r241369 = r241368 * r241368;
        double r241370 = r241367 / r241369;
        double r241371 = 3.0;
        double r241372 = r241370 - r241371;
        return r241372;
}
↓
double f(double x, double y) {
        double r241373 = x;
        double r241374 = y;
        double r241375 = r241373 / r241374;
        double r241376 = r241375 / r241374;
        double r241377 = 3.0;
        double r241378 = r241376 - r241377;
        return r241378;
}

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 2020045 
(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))