Average Error: 4.6 → 0.1
Time: 16.2s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{\frac{x}{y}}{y} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{\frac{x}{y}}{y} - 3.0
double f(double x, double y) {
        double r15270278 = x;
        double r15270279 = y;
        double r15270280 = r15270279 * r15270279;
        double r15270281 = r15270278 / r15270280;
        double r15270282 = 3.0;
        double r15270283 = r15270281 - r15270282;
        return r15270283;
}
↓
double f(double x, double y) {
        double r15270284 = x;
        double r15270285 = y;
        double r15270286 = r15270284 / r15270285;
        double r15270287 = r15270286 / r15270285;
        double r15270288 = 3.0;
        double r15270289 = r15270287 - r15270288;
        return r15270289;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.6
Target0.1
Herbie0.1
\[\frac{\frac{x}{y}}{y} - 3.0\]

Derivation

  1. Initial program 4.6

    \[\frac{x}{y \cdot y} - 3.0\]
  2. Using strategy rm

  3. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{y}} - 3.0\]

  4. Final simplification0.1

    \[\leadsto \frac{\frac{x}{y}}{y} - 3.0\]

Reproduce

herbie shell --seed 2019158 +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))