Average Error: 21.3 → 21.3
Time: 1.1s
Precision: binary64
\[\frac{\frac{\frac{\left(\left(2 + b\right) + c\right) \cdot \left(\left(2 + b\right) - c\right)}{2}}{b}}{2} - 1\]
↓
\[\frac{\frac{\frac{\left(\left(2 + b\right) + c\right) \cdot \left(\left(2 + b\right) - c\right)}{2}}{b}}{2} - 1\]
\frac{\frac{\frac{\left(\left(2 + b\right) + c\right) \cdot \left(\left(2 + b\right) - c\right)}{2}}{b}}{2} - 1
↓
\frac{\frac{\frac{\left(\left(2 + b\right) + c\right) \cdot \left(\left(2 + b\right) - c\right)}{2}}{b}}{2} - 1
double code(double b, double c) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (2.0 + b)) + c)) * ((double) (((double) (2.0 + b)) - c)))) / 2.0)) / b)) / 2.0)) - 1.0));
}
↓
double code(double b, double c) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (2.0 + b)) + c)) * ((double) (((double) (2.0 + b)) - c)))) / 2.0)) / b)) / 2.0)) - 1.0));
}

Error

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 21.3

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

  2. Final simplification21.3

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

Reproduce

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