Average Error: 0 → 0
Time: 859.0ms
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 r22461060 = x;
        double r22461061 = 2.0;
        double r22461062 = r22461060 * r22461061;
        double r22461063 = r22461062 * r22461060;
        return r22461063;
}
↓
double f(double x) {
        double r22461064 = x;
        double r22461065 = 2.0;
        double r22461066 = r22461064 * r22461065;
        double r22461067 = r22461064 * r22461066;
        return r22461067;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

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 2019162 +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))