Average Error: 5.4 → 0.1
Time: 8.1s
Precision: 64
\[\frac{x}{y \cdot y} - 3\]
↓
\[\frac{1}{\frac{y}{x} \cdot y} - 3\]
\frac{x}{y \cdot y} - 3
↓
\frac{1}{\frac{y}{x} \cdot y} - 3
double f(double x, double y) {
        double r366422 = x;
        double r366423 = y;
        double r366424 = r366423 * r366423;
        double r366425 = r366422 / r366424;
        double r366426 = 3.0;
        double r366427 = r366425 - r366426;
        return r366427;
}
↓
double f(double x, double y) {
        double r366428 = 1.0;
        double r366429 = y;
        double r366430 = x;
        double r366431 = r366429 / r366430;
        double r366432 = r366431 * r366429;
        double r366433 = r366428 / r366432;
        double r366434 = 3.0;
        double r366435 = r366433 - r366434;
        return r366435;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.4
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 5.4

    \[\frac{x}{y \cdot y} - 3\]
  2. Using strategy rm

  3. Applied clear-num5.4

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

  4. Simplified0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(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))