Average Error: 5.6 → 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 r716501 = 1.0;
        double r716502 = x;
        double r716503 = r716501 - r716502;
        double r716504 = 3.0;
        double r716505 = r716504 - r716502;
        double r716506 = r716503 * r716505;
        double r716507 = y;
        double r716508 = r716507 * r716504;
        double r716509 = r716506 / r716508;
        return r716509;
}
↓
double f(double x, double y) {
        double r716510 = 1.0;
        double r716511 = x;
        double r716512 = r716510 - r716511;
        double r716513 = y;
        double r716514 = r716512 / r716513;
        double r716515 = 3.0;
        double r716516 = r716515 - r716511;
        double r716517 = r716516 / r716515;
        double r716518 = r716514 * r716517;
        return r716518;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

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Target

Original5.6
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.6

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2020100 
(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)))