Average Error: 0.2 → 0.2
Time: 11.5s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
double f(double x) {
        double r514258 = x;
        double r514259 = r514258 * r514258;
        double r514260 = 3.0;
        double r514261 = 2.0;
        double r514262 = r514258 * r514261;
        double r514263 = r514260 - r514262;
        double r514264 = r514259 * r514263;
        return r514264;
}
↓
double f(double x) {
        double r514265 = x;
        double r514266 = r514265 * r514265;
        double r514267 = 3.0;
        double r514268 = 2.0;
        double r514269 = r514265 * r514268;
        double r514270 = r514267 - r514269;
        double r514271 = r514266 * r514270;
        return r514271;
}

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 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. Simplified0.1

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2019291 
(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))))