Average Error: 5.8 → 0.1
Time: 2.7s
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 r749582 = 1.0;
        double r749583 = x;
        double r749584 = r749582 - r749583;
        double r749585 = 3.0;
        double r749586 = r749585 - r749583;
        double r749587 = r749584 * r749586;
        double r749588 = y;
        double r749589 = r749588 * r749585;
        double r749590 = r749587 / r749589;
        return r749590;
}
↓
double f(double x, double y) {
        double r749591 = 1.0;
        double r749592 = x;
        double r749593 = r749591 - r749592;
        double r749594 = y;
        double r749595 = r749593 / r749594;
        double r749596 = 3.0;
        double r749597 = r749596 - r749592;
        double r749598 = r749597 / r749596;
        double r749599 = r749595 * r749598;
        return r749599;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.8
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.8

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2020020 
(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)))