Average Error: 16.1 → 16.1
Time: 901.0ms
Precision: binary64
\[\frac{c \cdot x + s \cdot y}{c + s}\]
↓
\[\frac{c \cdot x + s \cdot y}{c + s}\]
\frac{c \cdot x + s \cdot y}{c + s}
↓
\frac{c \cdot x + s \cdot y}{c + s}
double code(double c, double x, double s, double y) {
	return ((double) (((double) (((double) (c * x)) + ((double) (s * y)))) / ((double) (c + s))));
}
↓
double code(double c, double x, double s, double y) {
	return ((double) (((double) (((double) (c * x)) + ((double) (s * y)))) / ((double) (c + s))));
}

Error

Bits error versus c

Bits error versus x

Bits error versus s

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\frac{c \cdot x + s \cdot y}{c + s}\]

  2. Final simplification16.1

    \[\leadsto \frac{c \cdot x + s \cdot y}{c + s}\]

Reproduce

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