Average Error: 5.7 → 0.1
Time: 18.3s
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 r1162367 = 1.0;
        double r1162368 = x;
        double r1162369 = r1162367 - r1162368;
        double r1162370 = 3.0;
        double r1162371 = r1162370 - r1162368;
        double r1162372 = r1162369 * r1162371;
        double r1162373 = y;
        double r1162374 = r1162373 * r1162370;
        double r1162375 = r1162372 / r1162374;
        return r1162375;
}
↓
double f(double x, double y) {
        double r1162376 = 1.0;
        double r1162377 = x;
        double r1162378 = r1162376 - r1162377;
        double r1162379 = y;
        double r1162380 = r1162378 / r1162379;
        double r1162381 = 3.0;
        double r1162382 = r1162381 - r1162377;
        double r1162383 = r1162382 / r1162381;
        double r1162384 = r1162380 * r1162383;
        return r1162384;
}

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 +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)))