Average Error: 5.2 → 0.1
Time: 2.9s
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 r701580 = 1.0;
        double r701581 = x;
        double r701582 = r701580 - r701581;
        double r701583 = 3.0;
        double r701584 = r701583 - r701581;
        double r701585 = r701582 * r701584;
        double r701586 = y;
        double r701587 = r701586 * r701583;
        double r701588 = r701585 / r701587;
        return r701588;
}
↓
double f(double x, double y) {
        double r701589 = 1.0;
        double r701590 = x;
        double r701591 = r701589 - r701590;
        double r701592 = y;
        double r701593 = r701591 / r701592;
        double r701594 = 3.0;
        double r701595 = r701594 - r701590;
        double r701596 = r701595 / r701594;
        double r701597 = r701593 * r701596;
        return r701597;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.2
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.2

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2020003 
(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)))