Average Error: 0.2 → 0.2
Time: 2.5s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)
double f(double x) {
        double r978879 = x;
        double r978880 = r978879 * r978879;
        double r978881 = 3.0;
        double r978882 = 2.0;
        double r978883 = r978879 * r978882;
        double r978884 = r978881 - r978883;
        double r978885 = r978880 * r978884;
        return r978885;
}
↓
double f(double x) {
        double r978886 = x;
        double r978887 = 3.0;
        double r978888 = 2.0;
        double r978889 = r978886 * r978888;
        double r978890 = r978887 - r978889;
        double r978891 = r978886 * r978890;
        double r978892 = r978886 * r978891;
        return r978892;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.2
\[x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto \color{blue}{x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)}\]

  4. Final simplification0.2

    \[\leadsto x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]

Reproduce

herbie shell --seed 2020034 
(FPCore (x)
  :name "Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2"
  :precision binary64

  :herbie-target
  (* x (* x (- 3 (* x 2))))

  (* (* x x) (- 3 (* x 2))))