Average Error: 0.5 → 0.5
Time: 684.0ms
Precision: binary64
\[\frac{100 \cdot \left(a - b\right)}{a}\]
↓
\[\frac{100 \cdot \left(a - b\right)}{a}\]
\frac{100 \cdot \left(a - b\right)}{a}
↓
\frac{100 \cdot \left(a - b\right)}{a}
double code(double a, double b) {
	return ((double) (((double) (100.0 * ((double) (a - b)))) / a));
}
↓
double code(double a, double b) {
	return ((double) (((double) (100.0 * ((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 0.5

    \[\frac{100 \cdot \left(a - b\right)}{a}\]

  2. Final simplification0.5

    \[\leadsto \frac{100 \cdot \left(a - b\right)}{a}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(/ (* 100 (- a b)) a)"
  :precision binary64
  (/ (* 100.0 (- a b)) a))