Average Error: 5.9 → 0.1
Time: 17.7s
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 r41251416 = 1.0;
        double r41251417 = x;
        double r41251418 = r41251416 - r41251417;
        double r41251419 = 3.0;
        double r41251420 = r41251419 - r41251417;
        double r41251421 = r41251418 * r41251420;
        double r41251422 = y;
        double r41251423 = r41251422 * r41251419;
        double r41251424 = r41251421 / r41251423;
        return r41251424;
}
↓
double f(double x, double y) {
        double r41251425 = 1.0;
        double r41251426 = x;
        double r41251427 = r41251425 - r41251426;
        double r41251428 = y;
        double r41251429 = r41251427 / r41251428;
        double r41251430 = 3.0;
        double r41251431 = r41251430 - r41251426;
        double r41251432 = r41251431 / r41251430;
        double r41251433 = r41251429 * r41251432;
        return r41251433;
}

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 2019174 +o rules:numerics
(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)))