Average Error: 15.1 → 0.4
Time: 9.1s
Precision: binary64
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\[\]
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) (((double) cos(b)) / ((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 15.1

    \[\]
  2. Using strategy rm
  3. Applied cos-sum0.3

    \[\leadsto \]
  4. Using strategy rm
  5. Applied associate-/l*0.4

    \[\leadsto \]
  6. Simplified0.4

    \[\leadsto \]
  7. Final simplification0.4

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (r a b)
  :name "rsin A"
  :precision binary64
  (/ (* r (sin b)) (cos (+ a b))))