Average Error: 0 → 0
Time: 1.1s
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 r353135 = x;
        double r353136 = 2.0;
        double r353137 = r353135 * r353136;
        double r353138 = r353137 * r353135;
        return r353138;
}

double f(double x) {
        double r353139 = x;
        double r353140 = 2.0;
        double r353141 = r353139 * r353140;
        double r353142 = r353141 * r353139;
        return r353142;
}

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

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

Reproduce

herbie shell --seed 2019199 +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))