Average Error: 5.4 → 0.1
Time: 10.5s
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 r555187 = 1.0;
        double r555188 = x;
        double r555189 = r555187 - r555188;
        double r555190 = 3.0;
        double r555191 = r555190 - r555188;
        double r555192 = r555189 * r555191;
        double r555193 = y;
        double r555194 = r555193 * r555190;
        double r555195 = r555192 / r555194;
        return r555195;
}
↓
double f(double x, double y) {
        double r555196 = 1.0;
        double r555197 = x;
        double r555198 = r555196 - r555197;
        double r555199 = y;
        double r555200 = r555198 / r555199;
        double r555201 = 3.0;
        double r555202 = r555201 - r555197;
        double r555203 = r555202 / r555201;
        double r555204 = r555200 * r555203;
        return r555204;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original5.4
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.4

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019351 +o rules:numerics
(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)))