Average Error: 5.9 → 0.1
Time: 3.0s
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 r794377 = 1.0;
        double r794378 = x;
        double r794379 = r794377 - r794378;
        double r794380 = 3.0;
        double r794381 = r794380 - r794378;
        double r794382 = r794379 * r794381;
        double r794383 = y;
        double r794384 = r794383 * r794380;
        double r794385 = r794382 / r794384;
        return r794385;
}
↓
double f(double x, double y) {
        double r794386 = 1.0;
        double r794387 = x;
        double r794388 = r794386 - r794387;
        double r794389 = y;
        double r794390 = r794388 / r794389;
        double r794391 = 3.0;
        double r794392 = r794391 - r794387;
        double r794393 = r794392 / r794391;
        double r794394 = r794390 * r794393;
        return r794394;
}

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

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

Reproduce

herbie shell --seed 2019354 +o rules:numerics
(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)))