Average Error: 16.1 → 16.1
Time: 908.0ms
Precision: binary64
\[\frac{x \cdot s1 + y \cdot s2}{s1 + s2}\]
↓
\[\frac{x \cdot s1 + y \cdot s2}{s1 + s2}\]
\frac{x \cdot s1 + y \cdot s2}{s1 + s2}
↓
\frac{x \cdot s1 + y \cdot s2}{s1 + s2}
double code(double x, double s1, double y, double s2) {
	return ((double) (((double) (((double) (x * s1)) + ((double) (y * s2)))) / ((double) (s1 + s2))));
}
↓
double code(double x, double s1, double y, double s2) {
	return ((double) (((double) (((double) (x * s1)) + ((double) (y * s2)))) / ((double) (s1 + s2))));
}

Error

Bits error versus x

Bits error versus s1

Bits error versus y

Bits error versus s2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\frac{x \cdot s1 + y \cdot s2}{s1 + s2}\]

  2. Final simplification16.1

    \[\leadsto \frac{x \cdot s1 + y \cdot s2}{s1 + s2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x s1 y s2)
  :name "(/ (+ (* x s1) (* y s2)) (+ s1 s2))"
  :precision binary64
  (/ (+ (* x s1) (* y s2)) (+ s1 s2)))