Average Error: 0.1 → 0
Time: 12.2s
Precision: 64
\[\left(x \cdot x\right) \cdot x\]
↓
\[{x}^{3}\]
\left(x \cdot x\right) \cdot x
↓
{x}^{3}
double f(double x) {
        double r6613232 = x;
        double r6613233 = r6613232 * r6613232;
        double r6613234 = r6613233 * r6613232;
        return r6613234;
}
↓
double f(double x) {
        double r6613235 = x;
        double r6613236 = 3.0;
        double r6613237 = pow(r6613235, r6613236);
        return r6613237;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0
Herbie0
\[{x}^{3}\]

Derivation

  1. Initial program 0.1

    \[\left(x \cdot x\right) \cdot x\]
  2. Using strategy rm

  3. Applied pow30

    \[\leadsto \color{blue}{{x}^{3}}\]

  4. Final simplification0

    \[\leadsto {x}^{3}\]

Reproduce

herbie shell --seed 2019138 +o rules:numerics
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))