Average Error: 0.1 → 0.1
Time: 960.0ms
Precision: binary64
\[r \cdot x - \left(r \cdot x\right) \cdot x\]
↓
\[r \cdot x - \left(r \cdot x\right) \cdot x\]
r \cdot x - \left(r \cdot x\right) \cdot x
↓
r \cdot x - \left(r \cdot x\right) \cdot x
double code(double r, double x) {
	return ((double) (((double) (r * x)) - ((double) (((double) (r * x)) * x))));
}
↓
double code(double r, double x) {
	return ((double) (((double) (r * x)) - ((double) (((double) (r * x)) * 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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (r x)
  :name "(- (* r x) (* (* r x) x))"
  :precision binary64
  (- (* r x) (* (* r x) x)))