Average Error: 5.3 → 0.1
Time: 13.5s
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 r418059 = 1.0;
        double r418060 = x;
        double r418061 = r418059 - r418060;
        double r418062 = 3.0;
        double r418063 = r418062 - r418060;
        double r418064 = r418061 * r418063;
        double r418065 = y;
        double r418066 = r418065 * r418062;
        double r418067 = r418064 / r418066;
        return r418067;
}
↓
double f(double x, double y) {
        double r418068 = 1.0;
        double r418069 = x;
        double r418070 = r418068 - r418069;
        double r418071 = y;
        double r418072 = r418070 / r418071;
        double r418073 = 3.0;
        double r418074 = r418073 - r418069;
        double r418075 = r418074 / r418073;
        double r418076 = r418072 * r418075;
        return r418076;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

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Target

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

Derivation

  1. Initial program 5.3

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019325 
(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)))