Average Error: 0.2 → 0.2
Time: 24.7s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3.0 - x \cdot 2.0\right)\]
↓
\[\left(\left(3.0 - x \cdot 2.0\right) \cdot x\right) \cdot x\]
\left(x \cdot x\right) \cdot \left(3.0 - x \cdot 2.0\right)
↓
\left(\left(3.0 - x \cdot 2.0\right) \cdot x\right) \cdot x
double f(double x) {
        double r35095909 = x;
        double r35095910 = r35095909 * r35095909;
        double r35095911 = 3.0;
        double r35095912 = 2.0;
        double r35095913 = r35095909 * r35095912;
        double r35095914 = r35095911 - r35095913;
        double r35095915 = r35095910 * r35095914;
        return r35095915;
}
↓
double f(double x) {
        double r35095916 = 3.0;
        double r35095917 = x;
        double r35095918 = 2.0;
        double r35095919 = r35095917 * r35095918;
        double r35095920 = r35095916 - r35095919;
        double r35095921 = r35095920 * r35095917;
        double r35095922 = r35095921 * r35095917;
        return r35095922;
}

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
\[x \cdot \left(x \cdot \left(3.0 - x \cdot 2.0\right)\right)\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot x\right) \cdot \left(3.0 - x \cdot 2.0\right)\]
  2. Using strategy rm

  3. Applied associate-*l*0.2

    \[\leadsto \color{blue}{x \cdot \left(x \cdot \left(3.0 - x \cdot 2.0\right)\right)}\]

  4. Final simplification0.2

    \[\leadsto \left(\left(3.0 - x \cdot 2.0\right) \cdot x\right) \cdot x\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x)
  :name "Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2"

  :herbie-target
  (* x (* x (- 3.0 (* x 2.0))))

  (* (* x x) (- 3.0 (* x 2.0))))