Average Error: 0 → 0
Time: 1.2s
Precision: 64
\[\left(x \cdot 2\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 2\right)\]
\left(x \cdot 2\right) \cdot x
↓
x \cdot \left(x \cdot 2\right)
double f(double x) {
        double r18968709 = x;
        double r18968710 = 2.0;
        double r18968711 = r18968709 * r18968710;
        double r18968712 = r18968711 * r18968709;
        return r18968712;
}
↓
double f(double x) {
        double r18968713 = x;
        double r18968714 = 2.0;
        double r18968715 = r18968713 * r18968714;
        double r18968716 = r18968713 * r18968715;
        return r18968716;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Target

Original0
Target0
Herbie0
\[\left(2 \cdot x\right) \cdot x\]

Derivation

  1. Initial program 0

    \[\left(x \cdot 2\right) \cdot x\]

  2. Final simplification0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

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

  (* (* x 2.0) x))