Average Error: 5.6 → 0.1
Time: 2.4s
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 r641135 = 1.0;
        double r641136 = x;
        double r641137 = r641135 - r641136;
        double r641138 = 3.0;
        double r641139 = r641138 - r641136;
        double r641140 = r641137 * r641139;
        double r641141 = y;
        double r641142 = r641141 * r641138;
        double r641143 = r641140 / r641142;
        return r641143;
}
↓
double f(double x, double y) {
        double r641144 = 1.0;
        double r641145 = x;
        double r641146 = r641144 - r641145;
        double r641147 = y;
        double r641148 = r641146 / r641147;
        double r641149 = 3.0;
        double r641150 = r641149 - r641145;
        double r641151 = r641150 / r641149;
        double r641152 = r641148 * r641151;
        return r641152;
}

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 2020046 
(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)))