Average Error: 5.2 → 0.1
Time: 11.1s
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 r570462 = 1.0;
        double r570463 = x;
        double r570464 = r570462 - r570463;
        double r570465 = 3.0;
        double r570466 = r570465 - r570463;
        double r570467 = r570464 * r570466;
        double r570468 = y;
        double r570469 = r570468 * r570465;
        double r570470 = r570467 / r570469;
        return r570470;
}
↓
double f(double x, double y) {
        double r570471 = 1.0;
        double r570472 = x;
        double r570473 = r570471 - r570472;
        double r570474 = y;
        double r570475 = r570473 / r570474;
        double r570476 = 3.0;
        double r570477 = r570476 - r570472;
        double r570478 = r570477 / r570476;
        double r570479 = r570475 * r570478;
        return r570479;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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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 2019235 
(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)))