Average Error: 8.9 → 8.9
Time: 994.0ms
Precision: binary64
\[\frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}\]
↓
\[\frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}\]
\frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}
↓
\frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}
double code(double b, double c, double a) {
	return ((double) (((double) (((double) (((double) (4.0 * b)) / c)) + 1.0)) / ((double) (((double) (((double) (2.0 * c)) + ((double) (a * c)))) - b))));
}
↓
double code(double b, double c, double a) {
	return ((double) (((double) (((double) (((double) (4.0 * b)) / c)) + 1.0)) / ((double) (((double) (((double) (2.0 * c)) + ((double) (a * c)))) - b))));
}

Error

Bits error versus b

Bits error versus c

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 8.9

    \[\frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}\]

  2. Final simplification8.9

    \[\leadsto \frac{\frac{4 \cdot b}{c} + 1}{\left(2 \cdot c + a \cdot c\right) - b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b c a)
  :name "(/ (+ (/ (* 4 b) c) 1) (- (+ (* 2 c) (* a c)) b))"
  :precision binary64
  (/ (+ (/ (* 4.0 b) c) 1.0) (- (+ (* 2.0 c) (* a c)) b)))