Average Error: 15.5 → 0.4
Time: 6.7s
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) sin(b)) / ((double) (((double) (((double) cos(a)) * ((double) cos(b)))) - ((double) log(((double) pow(((double) exp(((double) sin(a)))), ((double) sin(b))))))))))));
}

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-sum0.4

    \[\leadsto \]
  4. Using strategy rm
  5. Applied *-un-lft-identity0.4

    \[\leadsto \]
  6. Applied times-frac0.3

    \[\leadsto \]
  7. Simplified0.3

    \[\leadsto \]
  8. Using strategy rm
  9. Applied add-log-exp0.4

    \[\leadsto \]
  10. Simplified0.4

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (r a b)
  :name "rsin A"
  :precision binary64
  (/ (* r (sin b)) (cos (+ a b))))