Average Error: 5.4 → 0.1
Time: 12.1s
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 r549878 = 1.0;
        double r549879 = x;
        double r549880 = r549878 - r549879;
        double r549881 = 3.0;
        double r549882 = r549881 - r549879;
        double r549883 = r549880 * r549882;
        double r549884 = y;
        double r549885 = r549884 * r549881;
        double r549886 = r549883 / r549885;
        return r549886;
}
↓
double f(double x, double y) {
        double r549887 = 1.0;
        double r549888 = x;
        double r549889 = r549887 - r549888;
        double r549890 = y;
        double r549891 = r549889 / r549890;
        double r549892 = 3.0;
        double r549893 = r549892 - r549888;
        double r549894 = r549893 / r549892;
        double r549895 = r549891 * r549894;
        return r549895;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original5.4
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.4

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019350 +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)))