Average Error: 0.1 → 0
Time: 1.2s
Precision: binary64
\[\left(\sin x + 0.5\right) - \sin x\]
↓
\[0.5\]
\left(\sin x + 0.5\right) - \sin x
↓
0.5
double code(double x) {
	return ((double) (((double) (((double) sin(x)) + 0.5)) - ((double) sin(x))));
}
↓
double code(double x) {
	return 0.5;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\sin x + 0.5\right) - \sin x\]

  2. Simplified0

    \[\leadsto \color{blue}{0.5}\]

  3. Final simplification0

    \[\leadsto 0.5\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (+ (sin x) 0.5) (sin x))"
  :precision binary64
  (- (+ (sin x) 0.5) (sin x)))