Average Error: 0 → 0
Time: 853.0ms
Precision: 64
\[\left(x \cdot 2\right) \cdot x\]
↓
\[\left(x \cdot 2\right) \cdot x\]
\left(x \cdot 2\right) \cdot x
↓
\left(x \cdot 2\right) \cdot x
double f(double x) {
        double r32686930 = x;
        double r32686931 = 2.0;
        double r32686932 = r32686930 * r32686931;
        double r32686933 = r32686932 * r32686930;
        return r32686933;
}
↓
double f(double x) {
        double r32686934 = x;
        double r32686935 = 2.0;
        double r32686936 = r32686934 * r32686935;
        double r32686937 = r32686936 * r32686934;
        return r32686937;
}

Error

Bits error versus x

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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

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

Reproduce

herbie shell --seed 2019174 +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))