Average Error: 3.5 → 3.5
Time: 1.0s
Precision: binary64
\[\frac{a \cdot x + b}{d}\]
↓
\[\frac{a \cdot x + b}{d}\]
\frac{a \cdot x + b}{d}
↓
\frac{a \cdot x + b}{d}
double code(double a, double x, double b, double d) {
	return ((double) (((double) (((double) (a * x)) + b)) / d));
}
↓
double code(double a, double x, double b, double d) {
	return ((double) (((double) (((double) (a * x)) + b)) / d));
}

Error

Bits error versus a

Bits error versus x

Bits error versus b

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.5

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

  2. Final simplification3.5

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

Reproduce

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