Average Error: 5.1 → 0.1
Time: 2.4s
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 r312935 = x;
        double r312936 = y;
        double r312937 = r312936 * r312936;
        double r312938 = r312935 / r312937;
        double r312939 = 3.0;
        double r312940 = r312938 - r312939;
        return r312940;
}
↓
double f(double x, double y) {
        double r312941 = x;
        double r312942 = y;
        double r312943 = r312941 / r312942;
        double r312944 = r312943 / r312942;
        double r312945 = 3.0;
        double r312946 = r312944 - r312945;
        return r312946;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 5.1

    \[\frac{x}{y \cdot y} - 3\]
  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 2020081 +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))