Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3

Average Error: 5.1 → 0.1

Time: 12.6s

Precision: 64

Math

\[\frac{\left(1.0 - x\right) \cdot \left(3.0 - x\right)}{y \cdot 3.0}\]

↓

\[\frac{3.0 - x}{3.0} \cdot \frac{1.0 - x}{y}\]

C

double f(double x, double y) {
        double r37913545 = 1.0;
        double r37913546 = x;
        double r37913547 = r37913545 - r37913546;
        double r37913548 = 3.0;
        double r37913549 = r37913548 - r37913546;
        double r37913550 = r37913547 * r37913549;
        double r37913551 = y;
        double r37913552 = r37913551 * r37913548;
        double r37913553 = r37913550 / r37913552;
        return r37913553;
}

↓

double f(double x, double y) {
        double r37913554 = 3.0;
        double r37913555 = x;
        double r37913556 = r37913554 - r37913555;
        double r37913557 = r37913556 / r37913554;
        double r37913558 = 1.0;
        double r37913559 = r37913558 - r37913555;
        double r37913560 = y;
        double r37913561 = r37913559 / r37913560;
        double r37913562 = r37913557 * r37913561;
        return r37913562;
}

Error

Bits error versus x

Bits error versus y

Target

Original	5.1
Target	0.1
Herbie	0.1

\[\frac{1.0 - x}{y} \cdot \frac{3.0 - x}{3.0}\]

Derivation

1. Initial program 5.1

   \[\frac{\left(1.0 - x\right) \cdot \left(3.0 - x\right)}{y \cdot 3.0}\]
2. Using strategy rm

3. Applied times-frac 0.1

   \[\leadsto \color{blue}{\frac{1.0 - x}{y} \cdot \frac{3.0 - x}{3.0}}\]

4. Final simplification 0.1

   \[\leadsto \frac{3.0 - x}{3.0} \cdot \frac{1.0 - x}{y}\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3"

  :herbie-target
  (* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

  (/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0)))