Average Error: 4.9 → 0.1
Time: 14.8s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{\frac{x}{y}}{y} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{\frac{x}{y}}{y} - 3.0
double f(double x, double y) {
        double r14236677 = x;
        double r14236678 = y;
        double r14236679 = r14236678 * r14236678;
        double r14236680 = r14236677 / r14236679;
        double r14236681 = 3.0;
        double r14236682 = r14236680 - r14236681;
        return r14236682;
}
↓
double f(double x, double y) {
        double r14236683 = x;
        double r14236684 = y;
        double r14236685 = r14236683 / r14236684;
        double r14236686 = r14236685 / r14236684;
        double r14236687 = 3.0;
        double r14236688 = r14236686 - r14236687;
        return r14236688;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Target

Original4.9
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3.0\]

Derivation

  1. Initial program 4.9

    \[\frac{x}{y \cdot y} - 3.0\]
  2. Using strategy rm

  3. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{y}} - 3.0\]

  4. Final simplification0.1

    \[\leadsto \frac{\frac{x}{y}}{y} - 3.0\]

Reproduce

herbie shell --seed 2019164 
(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))