Average Error: 27.9 → 2.6
Time: 9.0s
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) (1.0 / ((double) (x * ((double) pow(((double) (c * s)), ((double) (2.0 * 0.5)))))))) * ((double) (((double) cos(((double) (x * 2.0)))) / ((double) (x * ((double) pow(((double) (c * s)), ((double) (2.0 * 0.5))))))))));
}

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 27.9
    \[\]
  2. Simplified28.0
    \[\leadsto \]
  3. Using strategy rm
  4. Applied pow-prod-down13.3
    \[\leadsto \]
  5. Using strategy rm
  6. Applied sqr-pow13.3
    \[\leadsto \]
  7. Applied associate-*r*6.1
    \[\leadsto \]
  8. Simplified6.1
    \[\leadsto \]
  9. Using strategy rm
  10. Applied associate-/r*6.0
    \[\leadsto \]
  11. Simplified6.0
    \[\leadsto \]
  12. Using strategy rm
  13. Applied *-un-lft-identity6.0
    \[\leadsto \]
  14. Applied *-un-lft-identity6.0
    \[\leadsto \]
  15. Applied times-frac6.0
    \[\leadsto \]
  16. Applied times-frac2.6
    \[\leadsto \]
  17. Simplified2.6
    \[\leadsto \]
  18. Simplified2.6
    \[\leadsto \]
  19. Final simplification2.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x c s)
  :name "mixedcos"
  :precision binary64
  (/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x))))