Average Error: 5.5 → 0.1
Time: 10.9s
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 r478085 = 1.0;
        double r478086 = x;
        double r478087 = r478085 - r478086;
        double r478088 = 3.0;
        double r478089 = r478088 - r478086;
        double r478090 = r478087 * r478089;
        double r478091 = y;
        double r478092 = r478091 * r478088;
        double r478093 = r478090 / r478092;
        return r478093;
}
↓
double f(double x, double y) {
        double r478094 = 1.0;
        double r478095 = x;
        double r478096 = r478094 - r478095;
        double r478097 = y;
        double r478098 = r478096 / r478097;
        double r478099 = 3.0;
        double r478100 = r478099 - r478095;
        double r478101 = r478100 / r478099;
        double r478102 = r478098 * r478101;
        return r478102;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.5
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.5

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019208 
(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)))