Average Error: 0 → 0
Time: 882.0ms
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 r17642114 = x;
        double r17642115 = 2.0;
        double r17642116 = r17642114 * r17642115;
        double r17642117 = r17642116 * r17642114;
        return r17642117;
}
↓
double f(double x) {
        double r17642118 = x;
        double r17642119 = 2.0;
        double r17642120 = r17642118 * r17642119;
        double r17642121 = r17642118 * r17642120;
        return r17642121;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

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 2019179 +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))