Average Error: 4.9 → 0.1
Time: 12.6s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{1}{\frac{y}{\frac{x}{y}}} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{1}{\frac{y}{\frac{x}{y}}} - 3.0
double f(double x, double y) {
        double r16735411 = x;
        double r16735412 = y;
        double r16735413 = r16735412 * r16735412;
        double r16735414 = r16735411 / r16735413;
        double r16735415 = 3.0;
        double r16735416 = r16735414 - r16735415;
        return r16735416;
}
↓
double f(double x, double y) {
        double r16735417 = 1.0;
        double r16735418 = y;
        double r16735419 = x;
        double r16735420 = r16735419 / r16735418;
        double r16735421 = r16735418 / r16735420;
        double r16735422 = r16735417 / r16735421;
        double r16735423 = 3.0;
        double r16735424 = r16735422 - r16735423;
        return r16735424;
}

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

Derivation

  1. Initial program 4.9

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

  3. Applied associate-/r*0.1

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{y}} - 3.0\]
  4. Using strategy rm

  5. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{y}{\frac{x}{y}}}} - 3.0\]

  6. Final simplification0.1

    \[\leadsto \frac{1}{\frac{y}{\frac{x}{y}}} - 3.0\]

Reproduce

herbie shell --seed 2019168 
(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))