Average Error: 0.2 → 0.1
Time: 11.4s
Precision: 64
\[\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)\]
↓
\[3 \cdot \left(x \cdot x\right) + \left(-2\right) \cdot {x}^{3}\]
\left(x \cdot x\right) \cdot \left(3 - x \cdot 2\right)
↓
3 \cdot \left(x \cdot x\right) + \left(-2\right) \cdot {x}^{3}
double f(double x) {
        double r546101 = x;
        double r546102 = r546101 * r546101;
        double r546103 = 3.0;
        double r546104 = 2.0;
        double r546105 = r546101 * r546104;
        double r546106 = r546103 - r546105;
        double r546107 = r546102 * r546106;
        return r546107;
}
↓
double f(double x) {
        double r546108 = 3.0;
        double r546109 = x;
        double r546110 = r546109 * r546109;
        double r546111 = r546108 * r546110;
        double r546112 = 2.0;
        double r546113 = -r546112;
        double r546114 = 3.0;
        double r546115 = pow(r546109, r546114);
        double r546116 = r546113 * r546115;
        double r546117 = r546111 + r546116;
        return r546117;
}

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

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

  6. Simplified0.1

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

  7. Final simplification0.1

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

Reproduce

herbie shell --seed 2019212 
(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))))