Average Error: 28.4 → 2.8
Time: 7.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double c, double s) {
	return ((double) (((double) cos(((double) (2.0 * x)))) / ((double) (((double) pow(c, 2.0)) * ((double) (((double) (x * ((double) pow(s, 2.0)))) * x))))));
}

↓
double code(double x, double c, double s) {
	return ((double) (((double) (((double) cos(((double) (x * 2.0)))) / ((double) (x * ((double) (((double) pow(s, ((double) (2.0 / 2.0)))) * ((double) pow(c, ((double) (2.0 / 2.0)))))))))) / ((double) (x * ((double) (((double) pow(s, ((double) (2.0 / 2.0)))) * ((double) pow(c, ((double) (2.0 / 2.0))))))))));
}

Error
Bits error versus x
Bits error versus c
Bits error versus s
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 28.4
    \[\]
  2. Using strategy rm
  3. Applied sqr-pow28.4
    \[\leadsto \]
  4. Applied associate-*r*21.9
    \[\leadsto \]
  5. Using strategy rm
  6. Applied associate-*l*19.7
    \[\leadsto \]
  7. Simplified19.7
    \[\leadsto \]
  8. Using strategy rm
  9. Applied sqr-pow19.7
    \[\leadsto \]
  10. Applied unswap-sqr2.9
    \[\leadsto \]
  11. Simplified5.2
    \[\leadsto \]
  12. Simplified3.0
    \[\leadsto \]
  13. Using strategy rm
  14. Applied associate-/r*2.8
    \[\leadsto \]
  15. Simplified2.8
    \[\leadsto \]
  16. Final simplification2.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x c s)
  :name "mixedcos"
  :precision binary64
  (/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x))))