Average Error: 0.2 → 0.1
Time: 15.1s
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 r1285212 = x;
        double r1285213 = r1285212 * r1285212;
        double r1285214 = 3.0;
        double r1285215 = 2.0;
        double r1285216 = r1285212 * r1285215;
        double r1285217 = r1285214 - r1285216;
        double r1285218 = r1285213 * r1285217;
        return r1285218;
}
↓
double f(double x) {
        double r1285219 = 3.0;
        double r1285220 = x;
        double r1285221 = r1285220 * r1285220;
        double r1285222 = r1285219 * r1285221;
        double r1285223 = 2.0;
        double r1285224 = -r1285223;
        double r1285225 = 3.0;
        double r1285226 = pow(r1285220, r1285225);
        double r1285227 = r1285224 * r1285226;
        double r1285228 = r1285222 + r1285227;
        return r1285228;
}

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

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 2019199 
(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))))