Average Error: 7.8 → 7.8
Time: 799.0ms
Precision: binary64
\[\frac{\frac{1}{d} + \frac{1}{b}}{\frac{1}{b} \cdot \frac{1}{d} - 1}\]
↓
\[\frac{\frac{1}{d} + \frac{1}{b}}{\frac{1}{b} \cdot \frac{1}{d} - 1}\]
\frac{\frac{1}{d} + \frac{1}{b}}{\frac{1}{b} \cdot \frac{1}{d} - 1}
↓
\frac{\frac{1}{d} + \frac{1}{b}}{\frac{1}{b} \cdot \frac{1}{d} - 1}
double code(double d, double b) {
	return ((double) (((double) (((double) (1.0 / d)) + ((double) (1.0 / b)))) / ((double) (((double) (((double) (1.0 / b)) * ((double) (1.0 / d)))) - 1.0))));
}
↓
double code(double d, double b) {
	return ((double) (((double) (((double) (1.0 / d)) + ((double) (1.0 / b)))) / ((double) (((double) (((double) (1.0 / b)) * ((double) (1.0 / d)))) - 1.0))));
}

Error

Bits error versus d

Bits error versus b

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.8

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

  2. Final simplification7.8

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

Reproduce

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