Average Error: 0 → 0
Time: 1.0s
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 r20091218 = x;
        double r20091219 = 2.0;
        double r20091220 = r20091218 * r20091219;
        double r20091221 = r20091220 * r20091218;
        return r20091221;
}
↓
double f(double x) {
        double r20091222 = x;
        double r20091223 = 2.0;
        double r20091224 = r20091222 * r20091223;
        double r20091225 = r20091222 * r20091224;
        return r20091225;
}

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 2019192 
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

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

  (* (* x 2.0) x))