Average Error: 3.8 → 3.8
Time: 1.1s
Precision: binary64
\[\frac{x \cdot a + b}{c}\]
↓
\[\frac{x \cdot a + b}{c}\]
\frac{x \cdot a + b}{c}
↓
\frac{x \cdot a + b}{c}
double code(double x, double a, double b, double c) {
	return ((double) (((double) (((double) (x * a)) + b)) / c));
}
↓
double code(double x, double a, double b, double c) {
	return ((double) (((double) (((double) (x * a)) + b)) / c));
}

Error

Bits error versus x

Bits error versus a

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.8

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

  2. Final simplification3.8

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x a b c)
  :name "(/ (+ (* x a) b) c)"
  :precision binary64
  (/ (+ (* x a) b) c))