Average Error: 5.9 → 0.1
Time: 14.6s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\frac{1 - x}{y} \cdot \frac{3 - x}{3}
double f(double x, double y) {
        double r763766 = 1.0;
        double r763767 = x;
        double r763768 = r763766 - r763767;
        double r763769 = 3.0;
        double r763770 = r763769 - r763767;
        double r763771 = r763768 * r763770;
        double r763772 = y;
        double r763773 = r763772 * r763769;
        double r763774 = r763771 / r763773;
        return r763774;
}
↓
double f(double x, double y) {
        double r763775 = 1.0;
        double r763776 = x;
        double r763777 = r763775 - r763776;
        double r763778 = y;
        double r763779 = r763777 / r763778;
        double r763780 = 3.0;
        double r763781 = r763780 - r763776;
        double r763782 = r763781 / r763780;
        double r763783 = r763779 * r763782;
        return r763783;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

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Target

Original5.9
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.9

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  2. Using strategy rm

  3. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{1 - x}{y} \cdot \frac{3 - x}{3}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Reproduce

herbie shell --seed 2019209 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"
  :precision binary64

  :herbie-target
  (* (/ (- 1 x) y) (/ (- 3 x) 3))

  (/ (* (- 1 x) (- 3 x)) (* y 3)))