Average Error: 0 → 0
Time: 926.0ms
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 r125176 = x;
        double r125177 = 2.0;
        double r125178 = r125176 * r125177;
        double r125179 = r125178 * r125176;
        return r125179;
}
↓
double f(double x) {
        double r125180 = x;
        double r125181 = 2.0;
        double r125182 = r125180 * r125181;
        double r125183 = r125180 * r125182;
        return r125183;
}

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 2019174 
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

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

  (* (* x 2.0) x))