Average Error: 0 → 0
Time: 1.0s
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 r7027966 = x;
        double r7027967 = 2.0;
        double r7027968 = r7027966 * r7027967;
        double r7027969 = r7027968 * r7027966;
        return r7027969;
}
↓
double f(double x) {
        double r7027970 = x;
        double r7027971 = 2.0;
        double r7027972 = r7027970 * r7027971;
        double r7027973 = r7027970 * r7027972;
        return r7027973;
}

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 2019156 +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))