Average Error: 5.7 → 0.1
Time: 18.9s
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 r499295 = 1.0;
        double r499296 = x;
        double r499297 = r499295 - r499296;
        double r499298 = 3.0;
        double r499299 = r499298 - r499296;
        double r499300 = r499297 * r499299;
        double r499301 = y;
        double r499302 = r499301 * r499298;
        double r499303 = r499300 / r499302;
        return r499303;
}
↓
double f(double x, double y) {
        double r499304 = 1.0;
        double r499305 = x;
        double r499306 = r499304 - r499305;
        double r499307 = y;
        double r499308 = r499306 / r499307;
        double r499309 = 3.0;
        double r499310 = r499309 - r499305;
        double r499311 = r499310 / r499309;
        double r499312 = r499308 * r499311;
        return r499312;
}

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 2019303 +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)))