Average Error: 0.0 → 0.0
Time: 657.0ms
Precision: binary64
\[\frac{\left|a - b\right|}{a}\]
↓
\[\frac{\left|a - b\right|}{a}\]
\frac{\left|a - b\right|}{a}
↓
\frac{\left|a - b\right|}{a}
double code(double a, double b) {
	return ((double) (((double) fabs(((double) (a - b)))) / a));
}
↓
double code(double a, double b) {
	return ((double) (((double) fabs(((double) (a - b)))) / a));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{\left|a - b\right|}{a}\]

  2. Final simplification0.0

    \[\leadsto \frac{\left|a - b\right|}{a}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(/ (fabs (- a b)) a)"
  :precision binary64
  (/ (fabs (- a b)) a))