Average Error: 5.6 → 0.1
Time: 9.4s
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 r627839 = 1.0;
        double r627840 = x;
        double r627841 = r627839 - r627840;
        double r627842 = 3.0;
        double r627843 = r627842 - r627840;
        double r627844 = r627841 * r627843;
        double r627845 = y;
        double r627846 = r627845 * r627842;
        double r627847 = r627844 / r627846;
        return r627847;
}
↓
double f(double x, double y) {
        double r627848 = 1.0;
        double r627849 = x;
        double r627850 = r627848 - r627849;
        double r627851 = y;
        double r627852 = r627850 / r627851;
        double r627853 = 3.0;
        double r627854 = r627853 - r627849;
        double r627855 = r627854 / r627853;
        double r627856 = r627852 * r627855;
        return r627856;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.6
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 2020045 
(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)))