Average Error: 5.0 → 0.1
Time: 2.9s
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 r290929 = x;
        double r290930 = y;
        double r290931 = r290930 * r290930;
        double r290932 = r290929 / r290931;
        double r290933 = 3.0;
        double r290934 = r290932 - r290933;
        return r290934;
}
↓
double f(double x, double y) {
        double r290935 = x;
        double r290936 = y;
        double r290937 = r290935 / r290936;
        double r290938 = r290937 / r290936;
        double r290939 = 3.0;
        double r290940 = r290938 - r290939;
        return r290940;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.0
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 5.0

    \[\frac{x}{y \cdot y} - 3\]
  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 2020025 
(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))