Average Error: 29.5 → 29.5
Time: 3.3s
Precision: binary64
\[\frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}\]
↓
\[\frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}\]
\frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}
↓
\frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}
double code(double x, double y) {
	return ((double) (((double) (((double) sin(((double) (x + y)))) + ((double) sin(((double) (x - y)))))) / ((double) (2.0 * y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) sin(((double) (x + y)))) + ((double) sin(((double) (x - y)))))) / ((double) (2.0 * y))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.5

    \[\frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}\]

  2. Final simplification29.5

    \[\leadsto \frac{\sin \left(x + y\right) + \sin \left(x - y\right)}{2 \cdot y}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(/ (+ (sin (+ x y)) (sin (- x y))) (* 2 y))"
  :precision binary64
  (/ (+ (sin (+ x y)) (sin (- x y))) (* 2.0 y)))