Average Error: 30.5 → 1.4
Time: 4.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) sqrt(((double) (((double) pow(x, 2.0)) + ((double) pow(x, 2.0))))));
}

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

Error
Bits error versus x
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Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 30.5
    \[\]
  2. Simplified30.5
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt31.1
    \[\leadsto \]
  5. Applied unpow-prod-down31.1
    \[\leadsto \]
  6. Applied associate-*l*31.1
    \[\leadsto \]
  7. Simplified31.1
    \[\leadsto \]
  8. Using strategy rm
  9. Applied sqrt-prod15.8
    \[\leadsto \]
  10. Using strategy rm
  11. Applied unpow-prod-down15.8
    \[\leadsto \]
  12. Applied rem-sqrt-square1.4
    \[\leadsto \]
  13. Final simplification1.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "sqrt E"
  :precision binary64
  (sqrt (+ (pow x 2.0) (pow x 2.0))))