Average Error: 5.2 → 0.1
Time: 12.2s
Precision: 64
\[\frac{\left(1.0 - x\right) \cdot \left(3.0 - x\right)}{y \cdot 3.0}\]
↓
\[\frac{3.0 - x}{3.0} \cdot \left(\frac{1.0}{y} - \frac{x}{y}\right)\]
\frac{\left(1.0 - x\right) \cdot \left(3.0 - x\right)}{y \cdot 3.0}
↓
\frac{3.0 - x}{3.0} \cdot \left(\frac{1.0}{y} - \frac{x}{y}\right)
double f(double x, double y) {
        double r35555539 = 1.0;
        double r35555540 = x;
        double r35555541 = r35555539 - r35555540;
        double r35555542 = 3.0;
        double r35555543 = r35555542 - r35555540;
        double r35555544 = r35555541 * r35555543;
        double r35555545 = y;
        double r35555546 = r35555545 * r35555542;
        double r35555547 = r35555544 / r35555546;
        return r35555547;
}
↓
double f(double x, double y) {
        double r35555548 = 3.0;
        double r35555549 = x;
        double r35555550 = r35555548 - r35555549;
        double r35555551 = r35555550 / r35555548;
        double r35555552 = 1.0;
        double r35555553 = y;
        double r35555554 = r35555552 / r35555553;
        double r35555555 = r35555549 / r35555553;
        double r35555556 = r35555554 - r35555555;
        double r35555557 = r35555551 * r35555556;
        return r35555557;
}

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

Original5.2
Target0.1
Herbie0.1
\[\frac{1.0 - x}{y} \cdot \frac{3.0 - x}{3.0}\]

Derivation

  1. Initial program 5.2

    \[\frac{\left(1.0 - x\right) \cdot \left(3.0 - x\right)}{y \cdot 3.0}\]
  2. Using strategy rm

  3. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{1.0 - x}{y} \cdot \frac{3.0 - x}{3.0}}\]
  4. Using strategy rm

  5. Applied div-sub0.1

    \[\leadsto \color{blue}{\left(\frac{1.0}{y} - \frac{x}{y}\right)} \cdot \frac{3.0 - x}{3.0}\]

  6. Final simplification0.1

    \[\leadsto \frac{3.0 - x}{3.0} \cdot \left(\frac{1.0}{y} - \frac{x}{y}\right)\]

Reproduce

herbie shell --seed 2019162 
(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)))