Average Error: 0.2 → 0.2
Time: 2.0s
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 r787293 = x;
        double r787294 = r787293 * r787293;
        double r787295 = 3.0;
        double r787296 = 2.0;
        double r787297 = r787293 * r787296;
        double r787298 = r787295 - r787297;
        double r787299 = r787294 * r787298;
        return r787299;
}
↓
double f(double x) {
        double r787300 = x;
        double r787301 = 3.0;
        double r787302 = 2.0;
        double r787303 = r787300 * r787302;
        double r787304 = r787301 - r787303;
        double r787305 = r787300 * r787304;
        double r787306 = r787300 * r787305;
        return r787306;
}

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 2020049 
(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))))