Average Error: 5.2 → 0.1
Time: 14.4s
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 r13166439 = x;
        double r13166440 = y;
        double r13166441 = r13166440 * r13166440;
        double r13166442 = r13166439 / r13166441;
        double r13166443 = 3.0;
        double r13166444 = r13166442 - r13166443;
        return r13166444;
}
↓
double f(double x, double y) {
        double r13166445 = x;
        double r13166446 = y;
        double r13166447 = r13166445 / r13166446;
        double r13166448 = r13166447 / r13166446;
        double r13166449 = 3.0;
        double r13166450 = r13166448 - r13166449;
        return r13166450;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.2
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 5.2

    \[\frac{x}{y \cdot y} - 3\]
  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 2019169 +o rules:numerics
(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))