Average Error: 0.1 → 0.1
Time: 484.0ms
Precision: binary64
\[\frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}\]
↓
\[\frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}\]
\frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}
↓
\frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}
double code(double x) {
	return ((double) (((double) (4.0 * x)) / ((double) (1.0 + ((double) (x / 1.11))))));
}
↓
double code(double x) {
	return ((double) (((double) (4.0 * x)) / ((double) (1.0 + ((double) (x / 1.11))))));
}

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

    \[\frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}\]

  2. Final simplification0.1

    \[\leadsto \frac{4 \cdot x}{1 + \frac{x}{1.1100000000000001}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (* 4 x) (+ 1 (/ x 1.11)))"
  :precision binary64
  (/ (* 4.0 x) (+ 1.0 (/ x 1.11))))