Average Error: 0 → 0
Time: 840.0ms
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 r254587785 = x;
        double r254587786 = 2.0;
        double r254587787 = r254587785 * r254587786;
        double r254587788 = r254587787 * r254587785;
        return r254587788;
}
↓
double f(double x) {
        double r254587789 = x;
        double r254587790 = 2.0;
        double r254587791 = r254587789 * r254587790;
        double r254587792 = r254587791 * r254587789;
        return r254587792;
}

Error

Bits error versus x

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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 2019173 
(FPCore (x)
  :name "Numeric.Log:$cexpm1 from log-domain-0.10.2.1, A"

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

  (* (* x 2.0) x))