Average Error: 5.0 → 0.1
Time: 14.4s
Precision: 64
\[\frac{x}{y \cdot y} - 3\]
↓
\[\frac{1}{y} \cdot \frac{x}{y} - 3\]
\frac{x}{y \cdot y} - 3
↓
\frac{1}{y} \cdot \frac{x}{y} - 3
double f(double x, double y) {
        double r252450 = x;
        double r252451 = y;
        double r252452 = r252451 * r252451;
        double r252453 = r252450 / r252452;
        double r252454 = 3.0;
        double r252455 = r252453 - r252454;
        return r252455;
}
↓
double f(double x, double y) {
        double r252456 = 1.0;
        double r252457 = y;
        double r252458 = r252456 / r252457;
        double r252459 = x;
        double r252460 = r252459 / r252457;
        double r252461 = r252458 * r252460;
        double r252462 = 3.0;
        double r252463 = r252461 - r252462;
        return r252463;
}

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 *-un-lft-identity5.0

    \[\leadsto \frac{\color{blue}{1 \cdot x}}{y \cdot y} - 3\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{1}{y} \cdot \frac{x}{y}} - 3\]

  5. Final simplification0.1

    \[\leadsto \frac{1}{y} \cdot \frac{x}{y} - 3\]

Reproduce

herbie shell --seed 2019294 
(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))