Average Error: 41.0 → 0
Time: 1.7s
Precision: binary64
\[\left(\left(\left(\left(a + b\right) + c\right) - b\right) - a\right) - c\]
↓
\[0\]
\left(\left(\left(\left(a + b\right) + c\right) - b\right) - a\right) - c
↓
0
double code(double a, double b, double c) {
	return ((double) (((double) (((double) (((double) (((double) (a + b)) + c)) - b)) - a)) - c));
}
↓
double code(double a, double b, double c) {
	return 0.0;
}

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 41.0

    \[\left(\left(\left(\left(a + b\right) + c\right) - b\right) - a\right) - c\]

  2. Simplified0

    \[\leadsto \color{blue}{0}\]

  3. Final simplification0

    \[\leadsto 0\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b c)
  :name "(- (- (- (+ (+ a b) c) b) a) c)"
  :precision binary64
  (- (- (- (+ (+ a b) c) b) a) c))