Average Error: 0.2 → 0.2
Time: 10.3s
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 r799079 = x;
        double r799080 = r799079 * r799079;
        double r799081 = 3.0;
        double r799082 = 2.0;
        double r799083 = r799079 * r799082;
        double r799084 = r799081 - r799083;
        double r799085 = r799080 * r799084;
        return r799085;
}
↓
double f(double x) {
        double r799086 = x;
        double r799087 = 3.0;
        double r799088 = 2.0;
        double r799089 = r799086 * r799088;
        double r799090 = r799087 - r799089;
        double r799091 = r799086 * r799090;
        double r799092 = r799086 * r799091;
        return r799092;
}

Error

Bits error versus x

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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 2020045 +o rules:numerics
(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))))