Average Error: 5.5 → 0.1
Time: 13.2s
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 r437845 = 1.0;
        double r437846 = x;
        double r437847 = r437845 - r437846;
        double r437848 = 3.0;
        double r437849 = r437848 - r437846;
        double r437850 = r437847 * r437849;
        double r437851 = y;
        double r437852 = r437851 * r437848;
        double r437853 = r437850 / r437852;
        return r437853;
}
↓
double f(double x, double y) {
        double r437854 = 1.0;
        double r437855 = x;
        double r437856 = r437854 - r437855;
        double r437857 = y;
        double r437858 = r437856 / r437857;
        double r437859 = 3.0;
        double r437860 = r437859 - r437855;
        double r437861 = r437860 / r437859;
        double r437862 = r437858 * r437861;
        return r437862;
}

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 2019198 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"

  :herbie-target
  (* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

  (/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0)))