Average Error: 28.8 → 28.8
Time: 1.2s
Precision: binary64
\[\frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1\]
↓
\[\frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1\]
\frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1
↓
\frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1
double code(double a, double b) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a + b)) + 1.0)) * ((double) (((double) (a + b)) - 1.0)))) / a)) / b)) / 2.0)) - 1.0));
}
↓
double code(double a, double b) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a + b)) + 1.0)) * ((double) (((double) (a + b)) - 1.0)))) / a)) / b)) / 2.0)) - 1.0));
}

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 28.8

    \[\frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1\]

  2. Final simplification28.8

    \[\leadsto \frac{\frac{\frac{\left(\left(a + b\right) + 1\right) \cdot \left(\left(a + b\right) - 1\right)}{a}}{b}}{2} - 1\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- (/ (/ (/ (* (+ (+ a b) 1) (- (+ a b) 1)) a) b) 2) 1)"
  :precision binary64
  (- (/ (/ (/ (* (+ (+ a b) 1.0) (- (+ a b) 1.0)) a) b) 2.0) 1.0))