Average Error: 0.2 → 0.2
Time: 975.0ms
Precision: binary64
\[\frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}\]
↓
\[\frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}\]
\frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}
↓
\frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a - ((double) (4.0 * b)))) + ((double) (3.0 * c)))) / ((double) (((double) (a - ((double) (2.0 * b)))) + c))));
}
↓
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (a - ((double) (4.0 * b)))) + ((double) (3.0 * c)))) / ((double) (((double) (a - ((double) (2.0 * b)))) + c))));
}

Error

Bits error versus a

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 0.2

    \[\frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}\]

  2. Final simplification0.2

    \[\leadsto \frac{\left(a - 4 \cdot b\right) + 3 \cdot c}{\left(a - 2 \cdot b\right) + c}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c)
  :name "(/ (+ (- a (* 4 b)) (* 3 c)) (+ (- a (* 2 b)) c))"
  :precision binary64
  (/ (+ (- a (* 4.0 b)) (* 3.0 c)) (+ (- a (* 2.0 b)) c)))