Average Error: 5.6 → 0.1
Time: 9.9s
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 r528027 = 1.0;
        double r528028 = x;
        double r528029 = r528027 - r528028;
        double r528030 = 3.0;
        double r528031 = r528030 - r528028;
        double r528032 = r528029 * r528031;
        double r528033 = y;
        double r528034 = r528033 * r528030;
        double r528035 = r528032 / r528034;
        return r528035;
}
↓
double f(double x, double y) {
        double r528036 = 1.0;
        double r528037 = x;
        double r528038 = r528036 - r528037;
        double r528039 = y;
        double r528040 = r528038 / r528039;
        double r528041 = 3.0;
        double r528042 = r528041 - r528037;
        double r528043 = r528042 / r528041;
        double r528044 = r528040 * r528043;
        return r528044;
}

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 2019297 
(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)))