Average Error: 16.1 → 16.1
Time: 902.0ms
Precision: binary64
\[\frac{a \cdot b + c \cdot d}{a + c}\]
↓
\[\frac{a \cdot b + c \cdot d}{a + c}\]
\frac{a \cdot b + c \cdot d}{a + c}
↓
\frac{a \cdot b + c \cdot d}{a + c}
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (a * b)) + ((double) (c * d)))) / ((double) (a + c))));
}
↓
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (a * b)) + ((double) (c * d)))) / ((double) (a + c))));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\frac{a \cdot b + c \cdot d}{a + c}\]

  2. Final simplification16.1

    \[\leadsto \frac{a \cdot b + c \cdot d}{a + c}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c d)
  :name "(/ (+ (* a b) (* c d)) (+ a c))"
  :precision binary64
  (/ (+ (* a b) (* c d)) (+ a c)))