Average Error: 0.1 → 0.1
Time: 1.0s
Precision: binary64
\[r \cdot x - \left(r \cdot x\right) \cdot x\]
↓
\[x \cdot \left(r - r \cdot x\right)\]
r \cdot x - \left(r \cdot x\right) \cdot x
↓
x \cdot \left(r - r \cdot x\right)
double code(double r, double x) {
	return ((double) (((double) (r * x)) - ((double) (((double) (r * x)) * x))));
}
↓
double code(double r, double x) {
	return ((double) (x * ((double) (r - ((double) (r * x))))));
}

Error

Bits error versus r

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Simplified0.1

    \[\leadsto \color{blue}{x \cdot \left(r - r \cdot x\right)}\]

  3. Final simplification0.1

    \[\leadsto x \cdot \left(r - r \cdot x\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (r x)
  :name "(- (* r x) (* (* r x) x))"
  :precision binary64
  (- (* r x) (* (* r x) x)))