Average Error: 5.7 → 0.1
Time: 14.2s
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 r538129 = 1.0;
        double r538130 = x;
        double r538131 = r538129 - r538130;
        double r538132 = 3.0;
        double r538133 = r538132 - r538130;
        double r538134 = r538131 * r538133;
        double r538135 = y;
        double r538136 = r538135 * r538132;
        double r538137 = r538134 / r538136;
        return r538137;
}
↓
double f(double x, double y) {
        double r538138 = 1.0;
        double r538139 = x;
        double r538140 = r538138 - r538139;
        double r538141 = y;
        double r538142 = r538140 / r538141;
        double r538143 = 3.0;
        double r538144 = r538143 - r538139;
        double r538145 = r538144 / r538143;
        double r538146 = r538142 * r538145;
        return r538146;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.7
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.7

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2019306 
(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)))