Average Error: 5.0 → 0.1
Time: 18.5s
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 r223640 = x;
        double r223641 = y;
        double r223642 = r223641 * r223641;
        double r223643 = r223640 / r223642;
        double r223644 = 3.0;
        double r223645 = r223643 - r223644;
        return r223645;
}
↓
double f(double x, double y) {
        double r223646 = x;
        double r223647 = y;
        double r223648 = r223646 / r223647;
        double r223649 = r223648 / r223647;
        double r223650 = 3.0;
        double r223651 = r223649 - r223650;
        return r223651;
}

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 2019199 
(FPCore (x y)
  :name "Statistics.Sample:$skurtosis from math-functions-0.1.5.2"

  :herbie-target
  (- (/ (/ x y) y) 3.0)

  (- (/ x (* y y)) 3.0))