Average Error: 0 → 0
Time: 805.0ms
Precision: 64
\[\left(x \cdot 2.0\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 2.0\right)\]
\left(x \cdot 2.0\right) \cdot x
↓
x \cdot \left(x \cdot 2.0\right)
double f(double x) {
        double r21090368 = x;
        double r21090369 = 2.0;
        double r21090370 = r21090368 * r21090369;
        double r21090371 = r21090370 * r21090368;
        return r21090371;
}
↓
double f(double x) {
        double r21090372 = x;
        double r21090373 = 2.0;
        double r21090374 = r21090372 * r21090373;
        double r21090375 = r21090372 * r21090374;
        return r21090375;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Target

Original0
Target0
Herbie0
\[\left(2.0 \cdot x\right) \cdot x\]

Derivation

  1. Initial program 0

    \[\left(x \cdot 2.0\right) \cdot x\]

  2. Final simplification0

    \[\leadsto x \cdot \left(x \cdot 2.0\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

  :herbie-target
  (* (* 2.0 x) x)

  (* (* x 2.0) x))