Average Error: 5.1 → 0.1
Time: 2.3s
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 r262250 = x;
        double r262251 = y;
        double r262252 = r262251 * r262251;
        double r262253 = r262250 / r262252;
        double r262254 = 3.0;
        double r262255 = r262253 - r262254;
        return r262255;
}
↓
double f(double x, double y) {
        double r262256 = x;
        double r262257 = y;
        double r262258 = r262256 / r262257;
        double r262259 = r262258 / r262257;
        double r262260 = 3.0;
        double r262261 = r262259 - r262260;
        return r262261;
}

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 
(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))