Average Error: 5.9 → 0.1
Time: 19.7s
Precision: 64
\[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
↓
\[\frac{3 - x}{3} \cdot \frac{1 - x}{y}\]
\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}
↓
\frac{3 - x}{3} \cdot \frac{1 - x}{y}
double f(double x, double y) {
        double r28392071 = 1.0;
        double r28392072 = x;
        double r28392073 = r28392071 - r28392072;
        double r28392074 = 3.0;
        double r28392075 = r28392074 - r28392072;
        double r28392076 = r28392073 * r28392075;
        double r28392077 = y;
        double r28392078 = r28392077 * r28392074;
        double r28392079 = r28392076 / r28392078;
        return r28392079;
}
↓
double f(double x, double y) {
        double r28392080 = 3.0;
        double r28392081 = x;
        double r28392082 = r28392080 - r28392081;
        double r28392083 = r28392082 / r28392080;
        double r28392084 = 1.0;
        double r28392085 = r28392084 - r28392081;
        double r28392086 = y;
        double r28392087 = r28392085 / r28392086;
        double r28392088 = r28392083 * r28392087;
        return r28392088;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.9
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.9

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

    \[\leadsto \frac{3 - x}{3} \cdot \frac{1 - x}{y}\]

Reproduce

herbie shell --seed 2019174 +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)))