Average Error: 0.2 → 0.1
Time: 12.1s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[x \cdot \left(x \cdot 3\right) + \left(-{x}^{3} \cdot 2\right)\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
x \cdot \left(x \cdot 3\right) + \left(-{x}^{3} \cdot 2\right)
double f(double x) {
        double r488731 = x;
        double r488732 = r488731 * r488731;
        double r488733 = 3.0;
        double r488734 = 2.0;
        double r488735 = r488731 * r488734;
        double r488736 = r488733 - r488735;
        double r488737 = r488732 * r488736;
        return r488737;
}
↓
double f(double x) {
        double r488738 = x;
        double r488739 = 3.0;
        double r488740 = r488738 * r488739;
        double r488741 = r488738 * r488740;
        double r488742 = 3.0;
        double r488743 = pow(r488738, r488742);
        double r488744 = 2.0;
        double r488745 = r488743 * r488744;
        double r488746 = -r488745;
        double r488747 = r488741 + r488746;
        return r488747;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.2
Herbie0.1
\[x \cdot \left(x \cdot \left(3 - x \cdot 2\right)\right)\]

Derivation

  1. Initial program 0.2

    \[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.2

    \[\leadsto \left(x \cdot x\right) \cdot \color{blue}{\left(3 + \left(-x \cdot 2\right)\right)}\]

  4. Applied distribute-lft-in0.2

    \[\leadsto \color{blue}{\left(x \cdot x\right) \cdot 3 + \left(x \cdot x\right) \cdot \left(-x \cdot 2\right)}\]

  5. Simplified0.2

    \[\leadsto \color{blue}{x \cdot \left(x \cdot 3\right)} + \left(x \cdot x\right) \cdot \left(-x \cdot 2\right)\]

  6. Simplified0.1

    \[\leadsto x \cdot \left(x \cdot 3\right) + \color{blue}{\left(-2 \cdot {x}^{3}\right)}\]

  7. Final simplification0.1

    \[\leadsto x \cdot \left(x \cdot 3\right) + \left(-{x}^{3} \cdot 2\right)\]

Reproduce

herbie shell --seed 2019196 
(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))))