Average Error: 4.9 → 0.1
Time: 31.6s
Precision: 64
\[\frac{x}{y \cdot y} - 3.0\]
↓
\[\frac{1}{\frac{y}{x} \cdot y} - 3.0\]
\frac{x}{y \cdot y} - 3.0
↓
\frac{1}{\frac{y}{x} \cdot y} - 3.0
double f(double x, double y) {
        double r14536054 = x;
        double r14536055 = y;
        double r14536056 = r14536055 * r14536055;
        double r14536057 = r14536054 / r14536056;
        double r14536058 = 3.0;
        double r14536059 = r14536057 - r14536058;
        return r14536059;
}
↓
double f(double x, double y) {
        double r14536060 = 1.0;
        double r14536061 = y;
        double r14536062 = x;
        double r14536063 = r14536061 / r14536062;
        double r14536064 = r14536063 * r14536061;
        double r14536065 = r14536060 / r14536064;
        double r14536066 = 3.0;
        double r14536067 = r14536065 - r14536066;
        return r14536067;
}

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

Original4.9
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. Using strategy rm

  7. Applied clear-num0.1

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

  8. Simplified0.1

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

  9. Final simplification0.1

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

Reproduce

herbie shell --seed 2019165 
(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))