Average Error: 0.1 → 0
Time: 456.0ms
Precision: binary64
\[\left(x \cdot x\right) \cdot x\]
↓
\[{x}^{3}\]
\left(x \cdot x\right) \cdot x
↓
{x}^{3}
(FPCore (x) :precision binary64 (* (* x x) x))
↓
(FPCore (x) :precision binary64 (pow x 3.0))
double code(double x) {
	return (x * x) * x;
}
↓
double code(double x) {
	return pow(x, 3.0);
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Simplified0

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

  3. Final simplification0

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

Reproduce

herbie shell --seed 2020233 
(FPCore (x)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, C"
  :precision binary64
  (* (* x x) x))