Average Error: 28.0 → 9.2
Time: 9.5s
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) cos(((double) (2.0 * x)))) / ((double) (((double) (x * ((double) pow(c, ((double) (2.0 / 2.0)))))) * ((double) (((double) (x * ((double) pow(s, ((double) (2.0 / 2.0)))))) * ((double) (((double) pow(c, ((double) (2.0 / 2.0)))) * ((double) pow(s, ((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 28.0
    \[\]
  2. Using strategy rm
  3. Applied sqr-pow28.0
    \[\leadsto \]
  4. Applied associate-*l*23.4
    \[\leadsto \]
  5. Simplified19.8
    \[\leadsto \]
  6. Using strategy rm
  7. Applied sqr-pow19.8
    \[\leadsto \]
  8. Applied associate-*r*13.6
    \[\leadsto \]
  9. Using strategy rm
  10. Applied associate-*l*9.7
    \[\leadsto \]
  11. Simplified9.7
    \[\leadsto \]
  12. Using strategy rm
  13. Applied associate-*r*9.2
    \[\leadsto \]
  14. Simplified9.2
    \[\leadsto \]
  15. Final simplification9.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x c s)
  :name "mixedcos"
  :precision binary64
  (/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x))))