Average Error: 0.2 → 0.2
Time: 10.2s
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 r516304 = x;
        double r516305 = r516304 * r516304;
        double r516306 = 3.0;
        double r516307 = 2.0;
        double r516308 = r516304 * r516307;
        double r516309 = r516306 - r516308;
        double r516310 = r516305 * r516309;
        return r516310;
}
↓
double f(double x) {
        double r516311 = x;
        double r516312 = r516311 * r516311;
        double r516313 = 3.0;
        double r516314 = 2.0;
        double r516315 = r516311 * r516314;
        double r516316 = r516313 - r516315;
        double r516317 = r516312 * r516316;
        return r516317;
}

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 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. Using strategy rm

  7. Applied associate-*l*0.1

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

  8. Final simplification0.2

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

Reproduce

herbie shell --seed 2019298 
(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))))