Average Error: 7.5 → 7.5
Time: 656.0ms
Precision: binary64
\[\frac{1 + \frac{d}{b}}{\frac{1}{b} - d}\]
↓
\[\frac{1 + \frac{d}{b}}{\frac{1}{b} - d}\]
\frac{1 + \frac{d}{b}}{\frac{1}{b} - d}
↓
\frac{1 + \frac{d}{b}}{\frac{1}{b} - d}
double code(double d, double b) {
	return ((double) (((double) (1.0 + ((double) (d / b)))) / ((double) (((double) (1.0 / b)) - d))));
}
↓
double code(double d, double b) {
	return ((double) (((double) (1.0 + ((double) (d / b)))) / ((double) (((double) (1.0 / b)) - d))));
}

Error

Bits error versus d

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.5

    \[\frac{1 + \frac{d}{b}}{\frac{1}{b} - d}\]

  2. Final simplification7.5

    \[\leadsto \frac{1 + \frac{d}{b}}{\frac{1}{b} - d}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (d b)
  :name "(/ (+ 1 (/ d b)) (- (/ 1 b) d))"
  :precision binary64
  (/ (+ 1.0 (/ d b)) (- (/ 1.0 b) d)))