Average Error: 0.2 → 0.2
Time: 3.6s
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 r434382 = x;
        double r434383 = r434382 * r434382;
        double r434384 = 3.0;
        double r434385 = 2.0;
        double r434386 = r434382 * r434385;
        double r434387 = r434384 - r434386;
        double r434388 = r434383 * r434387;
        return r434388;
}
↓
double f(double x) {
        double r434389 = x;
        double r434390 = 3.0;
        double r434391 = 2.0;
        double r434392 = r434389 * r434391;
        double r434393 = r434390 - r434392;
        double r434394 = r434389 * r434393;
        double r434395 = r434389 * r434394;
        return r434395;
}

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 2019304 
(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))))