Average Error: 0.1 → 0.1
Time: 2.1s
Precision: binary64
\[x \cdot \cos a - y \cdot \sin a\]
↓
\[x \cdot \cos a - y \cdot \sin a\]
x \cdot \cos a - y \cdot \sin a
↓
x \cdot \cos a - y \cdot \sin a
double code(double x, double a, double y) {
	return ((double) (((double) (x * ((double) cos(a)))) - ((double) (y * ((double) sin(a))))));
}
↓
double code(double x, double a, double y) {
	return ((double) (((double) (x * ((double) cos(a)))) - ((double) (y * ((double) sin(a))))));
}

Error

Bits error versus x

Bits error versus a

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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