Average Error: 0.3 → 0.3
Time: 660.0ms
Precision: binary64
\[\frac{100 \cdot a}{b} - 100\]
↓
\[\frac{100 \cdot a}{b} - 100\]
\frac{100 \cdot a}{b} - 100
↓
\frac{100 \cdot a}{b} - 100
double code(double a, double b) {
	return ((double) (((double) (((double) (100.0 * a)) / b)) - 100.0));
}
↓
double code(double a, double b) {
	return ((double) (((double) (((double) (100.0 * a)) / b)) - 100.0));
}

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 0.3

    \[\frac{100 \cdot a}{b} - 100\]

  2. Final simplification0.3

    \[\leadsto \frac{100 \cdot a}{b} - 100\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- (/ (* 100 a) b) 100)"
  :precision binary64
  (- (/ (* 100.0 a) b) 100.0))