Average Error: 0.2 → 0.2
Time: 20.0s
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 r31102957 = x;
        double r31102958 = r31102957 * r31102957;
        double r31102959 = 3.0;
        double r31102960 = 2.0;
        double r31102961 = r31102957 * r31102960;
        double r31102962 = r31102959 - r31102961;
        double r31102963 = r31102958 * r31102962;
        return r31102963;
}
↓
double f(double x) {
        double r31102964 = 3.0;
        double r31102965 = x;
        double r31102966 = 2.0;
        double r31102967 = r31102965 * r31102966;
        double r31102968 = r31102964 - r31102967;
        double r31102969 = r31102968 * r31102965;
        double r31102970 = r31102969 * r31102965;
        return r31102970;
}

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 2019163 +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))))