Average Error: 30.4 → 30.4
Time: 1.8s
Precision: binary64
\[\sin x - \sin \left(x - 0.0100000000000000002\right)\]
↓
\[\sin x - \sin \left(x - 0.0100000000000000002\right)\]
\sin x - \sin \left(x - 0.0100000000000000002\right)
↓
\sin x - \sin \left(x - 0.0100000000000000002\right)
double code(double x) {
	return ((double) (((double) sin(x)) - ((double) sin(((double) (x - 0.01))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(x)) - ((double) sin(((double) (x - 0.01))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.4

    \[\sin x - \sin \left(x - 0.0100000000000000002\right)\]

  2. Final simplification30.4

    \[\leadsto \sin x - \sin \left(x - 0.0100000000000000002\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sin x) (sin (- x 0.01)))"
  :precision binary64
  (- (sin x) (sin (- x 0.01))))