Average Error: 0 → 0
Time: 981.0ms
Precision: 64
\[\left(x \cdot 2\right) \cdot x\]
↓
\[\left(x \cdot 2\right) \cdot x\]
\left(x \cdot 2\right) \cdot x
↓
\left(x \cdot 2\right) \cdot x
double f(double x) {
        double r70841466 = x;
        double r70841467 = 2.0;
        double r70841468 = r70841466 * r70841467;
        double r70841469 = r70841468 * r70841466;
        return r70841469;
}
↓
double f(double x) {
        double r70841470 = x;
        double r70841471 = 2.0;
        double r70841472 = r70841470 * r70841471;
        double r70841473 = r70841472 * r70841470;
        return r70841473;
}

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

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

Reproduce

herbie shell --seed 2019173 +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))