Average Error: 5.5 → 0.1
Time: 36.8s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\frac{3 - x}{3} \cdot \frac{1 - x}{y}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\frac{3 - x}{3} \cdot \frac{1 - x}{y}
double f(double x, double y) {
        double r29562605 = 1.0;
        double r29562606 = x;
        double r29562607 = r29562605 - r29562606;
        double r29562608 = 3.0;
        double r29562609 = r29562608 - r29562606;
        double r29562610 = r29562607 * r29562609;
        double r29562611 = y;
        double r29562612 = r29562611 * r29562608;
        double r29562613 = r29562610 / r29562612;
        return r29562613;
}
↓
double f(double x, double y) {
        double r29562614 = 3.0;
        double r29562615 = x;
        double r29562616 = r29562614 - r29562615;
        double r29562617 = r29562616 / r29562614;
        double r29562618 = 1.0;
        double r29562619 = r29562618 - r29562615;
        double r29562620 = y;
        double r29562621 = r29562619 / r29562620;
        double r29562622 = r29562617 * r29562621;
        return r29562622;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original5.5
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.5

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

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"

  :herbie-target
  (* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

  (/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0)))