Average Error: 4.9 → 0.1
Time: 14.1s
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 r14986276 = x;
        double r14986277 = y;
        double r14986278 = r14986277 * r14986277;
        double r14986279 = r14986276 / r14986278;
        double r14986280 = 3.0;
        double r14986281 = r14986279 - r14986280;
        return r14986281;
}
↓
double f(double x, double y) {
        double r14986282 = x;
        double r14986283 = y;
        double r14986284 = r14986282 / r14986283;
        double r14986285 = r14986284 / r14986283;
        double r14986286 = 3.0;
        double r14986287 = r14986285 - r14986286;
        return r14986287;
}

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 2019162 
(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))