Average Error: 0.1 → 0.1
Time: 2.0s
Precision: binary64
\[x + \left(r \cdot \sin lat\right) \cdot \cos lon\]
↓
\[x + \left(r \cdot \sin lat\right) \cdot \cos lon\]
x + \left(r \cdot \sin lat\right) \cdot \cos lon
↓
x + \left(r \cdot \sin lat\right) \cdot \cos lon
double code(double x, double r, double lat, double lon) {
	return ((double) (x + ((double) (((double) (r * ((double) sin(lat)))) * ((double) cos(lon))))));
}
↓
double code(double x, double r, double lat, double lon) {
	return ((double) (x + ((double) (((double) (r * ((double) sin(lat)))) * ((double) cos(lon))))));
}

Error

Bits error versus x

Bits error versus r

Bits error versus lat

Bits error versus lon

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x + \left(r \cdot \sin lat\right) \cdot \cos lon\]

  2. Final simplification0.1

    \[\leadsto x + \left(r \cdot \sin lat\right) \cdot \cos lon\]

Reproduce

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