Average Error: 0.4 → 0.4
Time: 4.5s
Precision: binary64
\[\cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)\]
↓
\[\cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)\]
\cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)
↓
\cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)
double code(double y, double x) {
	return ((double) (((double) (((double) cos(y)) * ((double) (((double) sin(x)) - ((double) cos(x)))))) - ((double) (((double) sin(y)) * ((double) (((double) sin(x)) + ((double) cos(x))))))));
}
↓
double code(double y, double x) {
	return ((double) (((double) (((double) cos(y)) * ((double) (((double) sin(x)) - ((double) cos(x)))))) - ((double) (((double) sin(y)) * ((double) (((double) sin(x)) + ((double) cos(x))))))));
}

Error

Bits error versus y

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)\]

  2. Final simplification0.4

    \[\leadsto \cos y \cdot \left(\sin x - \cos x\right) - \sin y \cdot \left(\sin x + \cos x\right)\]

Reproduce

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