Average Error: 5.8 → 0.1
Time: 3.1s
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 r740371 = 1.0;
        double r740372 = x;
        double r740373 = r740371 - r740372;
        double r740374 = 3.0;
        double r740375 = r740374 - r740372;
        double r740376 = r740373 * r740375;
        double r740377 = y;
        double r740378 = r740377 * r740374;
        double r740379 = r740376 / r740378;
        return r740379;
}
↓
double f(double x, double y) {
        double r740380 = 1.0;
        double r740381 = x;
        double r740382 = r740380 - r740381;
        double r740383 = y;
        double r740384 = r740382 / r740383;
        double r740385 = 3.0;
        double r740386 = r740385 - r740381;
        double r740387 = r740386 / r740385;
        double r740388 = r740384 * r740387;
        return r740388;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.8
Target0.1
Herbie0.1
\[\frac{1 - x}{y} \cdot \frac{3 - x}{3}\]

Derivation

  1. Initial program 5.8

    \[\frac{\left(1 - x\right) \cdot \left(3 - x\right)}{y \cdot 3}\]
  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 2020060 
(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)))