Average Error: 4.9 → 0.1
Time: 8.8s
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 r275221 = x;
        double r275222 = y;
        double r275223 = r275222 * r275222;
        double r275224 = r275221 / r275223;
        double r275225 = 3.0;
        double r275226 = r275224 - r275225;
        return r275226;
}
↓
double f(double x, double y) {
        double r275227 = x;
        double r275228 = y;
        double r275229 = r275227 / r275228;
        double r275230 = r275229 / r275228;
        double r275231 = 3.0;
        double r275232 = r275230 - r275231;
        return r275232;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.9
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3\]

Derivation

  1. Initial program 4.9

    \[\frac{x}{y \cdot y} - 3\]
  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 2020045 
(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))