Average Error: 5.2 → 0.1
Time: 16.5s
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 r193248 = x;
        double r193249 = y;
        double r193250 = r193249 * r193249;
        double r193251 = r193248 / r193250;
        double r193252 = 3.0;
        double r193253 = r193251 - r193252;
        return r193253;
}
↓
double f(double x, double y) {
        double r193254 = x;
        double r193255 = y;
        double r193256 = r193254 / r193255;
        double r193257 = r193256 / r193255;
        double r193258 = 3.0;
        double r193259 = r193257 - r193258;
        return r193259;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.2
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 5.2

    \[\frac{x}{y \cdot y} - 3\]
  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 2019350 +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))