Average Error: 0.2 → 0.2
Time: 59.0s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[\left(\left(3 - x \cdot 2\right) \cdot x\right) \cdot x\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
\left(\left(3 - x \cdot 2\right) \cdot x\right) \cdot x
double f(double x) {
        double r40606701 = x;
        double r40606702 = r40606701 * r40606701;
        double r40606703 = 3.0;
        double r40606704 = 2.0;
        double r40606705 = r40606701 * r40606704;
        double r40606706 = r40606703 - r40606705;
        double r40606707 = r40606702 * r40606706;
        return r40606707;
}
↓
double f(double x) {
        double r40606708 = 3.0;
        double r40606709 = x;
        double r40606710 = 2.0;
        double r40606711 = r40606709 * r40606710;
        double r40606712 = r40606708 - r40606711;
        double r40606713 = r40606712 * r40606709;
        double r40606714 = r40606713 * r40606709;
        return r40606714;
}

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

    \[\leadsto \left(\left(3 - x \cdot 2\right) \cdot x\right) \cdot x\]

Reproduce

herbie shell --seed 2019168 
(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))))