Average Error: 0.1 → 0
Time: 492.0ms
Precision: binary64
\[\frac{\frac{x}{2} \cdot 5}{x}\]
↓
\[\frac{5}{2}\]
\frac{\frac{x}{2} \cdot 5}{x}
↓
\frac{5}{2}
double code(double x) {
	return ((double) (((double) (((double) (x / 2.0)) * 5.0)) / x));
}
↓
double code(double x) {
	return ((double) (5.0 / 2.0));
}

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

    \[\frac{\frac{x}{2} \cdot 5}{x}\]

  2. Simplified0

    \[\leadsto \color{blue}{\frac{5}{2}}\]

  3. Final simplification0

    \[\leadsto \frac{5}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (* (/ x 2) 5) x)"
  :precision binary64
  (/ (* (/ x 2.0) 5.0) x))