Average Error: 15.5 → 0.4
Time: 6.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double r, double a, double b) {
	return ((double) (r * ((double) (((double) sin(b)) / ((double) cos(((double) (a + b))))))));
}

↓
double code(double r, double a, double b) {
	return ((double) (r / ((double) (((double) (((double) cos(a)) / ((double) tan(b)))) - ((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 15.5
    \[\]
  2. Using strategy rm
  3. Applied cos-sum0.3
    \[\leadsto \]
  4. Using strategy rm
  5. Applied associate-*r/0.4
    \[\leadsto \]
  6. Simplified0.4
    \[\leadsto \]
  7. Taylor expanded around inf 0.4
    \[\leadsto \]
  8. Simplified0.4
    \[\leadsto \]
  9. Using strategy rm
  10. Applied quot-tan0.4
    \[\leadsto \]
  11. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (r a b)
  :name "rsin B"
  :precision binary64
  (* r (/ (sin b) (cos (+ a b)))))