Average Error: 14.8 → 0.4
Time: 6.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double r, double a, double b) {
	return ((double) (((double) (r * ((double) sin(b)))) / ((double) cos(((double) (a + b))))));
}

↓
double code(double r, double a, double b) {
	return ((double) (r / ((double) (((double) (((double) cos(b)) / ((double) (((double) sin(b)) / ((double) cos(a)))))) - ((double) sin(a))))));
}

Error
Bits error versus r
Bits error versus a
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 14.8
    \[\]
  2. Simplified14.8
    \[\leadsto \]
  3. Using strategy rm
  4. Applied cos-sum0.3
    \[\leadsto \]
  5. Using strategy rm
  6. Applied associate-*r/0.3
    \[\leadsto \]
  7. Simplified0.3
    \[\leadsto \]
  8. Taylor expanded around inf 0.3
    \[\leadsto \]
  9. Simplified0.4
    \[\leadsto \]
  10. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (r a b)
  :name "rsin A"
  :precision binary64
  (/ (* r (sin b)) (cos (+ a b))))