Average Error: 33.8 → 33.8
Time: 2.2s
Precision: binary64
\[\sin \left(\sqrt{x \cdot x + y \cdot y}\right)\]
↓
\[\sin \left(\sqrt{x \cdot x + y \cdot y}\right)\]
\sin \left(\sqrt{x \cdot x + y \cdot y}\right)
↓
\sin \left(\sqrt{x \cdot x + y \cdot y}\right)
double code(double x, double y) {
	return ((double) sin(((double) sqrt(((double) (((double) (x * x)) + ((double) (y * y))))))));
}
↓
double code(double x, double y) {
	return ((double) sin(((double) sqrt(((double) (((double) (x * x)) + ((double) (y * y))))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 33.8

    \[\sin \left(\sqrt{x \cdot x + y \cdot y}\right)\]

  2. Final simplification33.8

    \[\leadsto \sin \left(\sqrt{x \cdot x + y \cdot y}\right)\]

Reproduce

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