Average Error: 5.0 → 0.1
Time: 25.7s
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 r196534 = x;
        double r196535 = y;
        double r196536 = r196535 * r196535;
        double r196537 = r196534 / r196536;
        double r196538 = 3.0;
        double r196539 = r196537 - r196538;
        return r196539;
}
↓
double f(double x, double y) {
        double r196540 = x;
        double r196541 = y;
        double r196542 = r196540 / r196541;
        double r196543 = r196542 / r196541;
        double r196544 = 3.0;
        double r196545 = r196543 - r196544;
        return r196545;
}

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 2019306 +o rules:numerics
(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))