Average Error: 0.1 → 0.1
Time: 1.5s
Precision: binary64
\[\sin \left(2 \cdot \cos x\right)\]
↓
\[\sin \left(2 \cdot \cos x\right)\]
\sin \left(2 \cdot \cos x\right)
↓
\sin \left(2 \cdot \cos x\right)
double code(double x) {
	return ((double) sin(((double) (2.0 * ((double) cos(x))))));
}
↓
double code(double x) {
	return ((double) sin(((double) (2.0 * ((double) cos(x))))));
}

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

    \[\sin \left(2 \cdot \cos x\right)\]

  2. Final simplification0.1

    \[\leadsto \sin \left(2 \cdot \cos x\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sin (* 2 (cos x)))"
  :precision binary64
  (sin (* 2.0 (cos x))))