Average Error: 0.0 → 0.0
Time: 688.0ms
Precision: binary64
\[\frac{1 \cdot \left|x\right|}{y} + 0.5\]
↓
\[\frac{1 \cdot \left|x\right|}{y} + 0.5\]
\frac{1 \cdot \left|x\right|}{y} + 0.5
↓
\frac{1 \cdot \left|x\right|}{y} + 0.5
double code(double x, double y) {
	return ((double) (((double) (((double) (1.0 * ((double) fabs(x)))) / y)) + 0.5));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (1.0 * ((double) fabs(x)))) / y)) + 0.5));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{1 \cdot \left|x\right|}{y} + 0.5\]

  2. Final simplification0.0

    \[\leadsto \frac{1 \cdot \left|x\right|}{y} + 0.5\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (/ (* 1 (fabs x)) y) 0.5)"
  :precision binary64
  (+ (/ (* 1.0 (fabs x)) y) 0.5))