Average Error: 0.5 → 0.5
Time: 1.9s
Precision: binary64
\[\sin x \cdot \sin x - \cos x \cdot \cos x\]
↓
\[\sin x \cdot \sin x - \cos x \cdot \cos x\]
\sin x \cdot \sin x - \cos x \cdot \cos x
↓
\sin x \cdot \sin x - \cos x \cdot \cos x
double code(double x) {
	return ((double) (((double) (((double) sin(x)) * ((double) sin(x)))) - ((double) (((double) cos(x)) * ((double) cos(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) sin(x)) * ((double) sin(x)))) - ((double) (((double) cos(x)) * ((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 0.5

    \[\sin x \cdot \sin x - \cos x \cdot \cos x\]

  2. Final simplification0.5

    \[\leadsto \sin x \cdot \sin x - \cos x \cdot \cos x\]

Reproduce

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