Average Error: 0 → 0
Time: 449.0ms
Precision: binary64
\[1 + \frac{1}{2} \cdot x\]
↓
\[1 + \frac{1}{2} \cdot x\]
1 + \frac{1}{2} \cdot x
↓
1 + \frac{1}{2} \cdot x
double code(double x) {
	return ((double) (1.0 + ((double) (((double) (1.0 / 2.0)) * x))));
}
↓
double code(double x) {
	return ((double) (1.0 + ((double) (((double) (1.0 / 2.0)) * x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[1 + \frac{1}{2} \cdot x\]

  2. Final simplification0

    \[\leadsto 1 + \frac{1}{2} \cdot x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ 1 (* (/ 1 2) x))"
  :precision binary64
  (+ 1.0 (* (/ 1.0 2.0) x)))