Average Error: 0.2 → 0.2
Time: 40.5s
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 r32823786 = x;
        double r32823787 = r32823786 * r32823786;
        double r32823788 = 3.0;
        double r32823789 = 2.0;
        double r32823790 = r32823786 * r32823789;
        double r32823791 = r32823788 - r32823790;
        double r32823792 = r32823787 * r32823791;
        return r32823792;
}
↓
double f(double x) {
        double r32823793 = 3.0;
        double r32823794 = x;
        double r32823795 = 2.0;
        double r32823796 = r32823794 * r32823795;
        double r32823797 = r32823793 - r32823796;
        double r32823798 = r32823797 * r32823794;
        double r32823799 = r32823798 * r32823794;
        return r32823799;
}

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 2019165 +o rules:numerics
(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))))