Average Error: 30.5 → 0.4
Time: 4.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) sqrt(((double) (2.0 * ((double) pow(x, 2.0))))));
}

↓
double code(double x) {
	return ((double) (((double) sqrt(((double) sqrt(2.0)))) * ((double) (((double) sqrt(((double) sqrt(2.0)))) * ((double) fabs(((double) pow(x, ((double) (2.0 / 2.0))))))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 30.5
    \[\]
  2. Using strategy rm
  3. Applied add-sqr-sqrt30.7
    \[\leadsto \]
  4. Using strategy rm
  5. Applied sqrt-prod30.7
    \[\leadsto \]
  6. Applied sqrt-prod30.6
    \[\leadsto \]
  7. Using strategy rm
  8. Applied sqrt-prod30.6
    \[\leadsto \]
  9. Applied sqrt-prod30.7
    \[\leadsto \]
  10. Applied associate-*l*30.7
    \[\leadsto \]
  11. Simplified30.6
    \[\leadsto \]
  12. Using strategy rm
  13. Applied sqr-pow30.6
    \[\leadsto \]
  14. Applied rem-sqrt-square0.4
    \[\leadsto \]
  15. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "sqrt D"
  :precision binary64
  (sqrt (* 2.0 (pow x 2.0))))