Average Error: 0 → 0
Time: 871.0ms
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 r226104 = x;
        double r226105 = 2.0;
        double r226106 = r226104 * r226105;
        double r226107 = r226106 * r226104;
        return r226107;
}
↓
double f(double x) {
        double r226108 = x;
        double r226109 = 2.0;
        double r226110 = r226108 * r226109;
        double r226111 = r226108 * r226110;
        return r226111;
}

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. Simplified0

    \[\leadsto \color{blue}{x \cdot \left(x \cdot 2\right)}\]

  3. Final simplification0

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

Reproduce

herbie shell --seed 2019196 
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

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

  (* (* x 2.0) x))