Average Error: 4.6 → 0.1
Time: 13.4s
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 r26974571 = x;
        double r26974572 = y;
        double r26974573 = r26974572 * r26974572;
        double r26974574 = r26974571 / r26974573;
        double r26974575 = 3.0;
        double r26974576 = r26974574 - r26974575;
        return r26974576;
}
↓
double f(double x, double y) {
        double r26974577 = x;
        double r26974578 = y;
        double r26974579 = r26974577 / r26974578;
        double r26974580 = r26974579 / r26974578;
        double r26974581 = 3.0;
        double r26974582 = r26974580 - r26974581;
        return r26974582;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original4.6
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 
(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))