Average Error: 0.8 → 0.8
Time: 1.9s
Precision: binary64
\[\sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}\]
↓
\[\sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}\]
\sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}
↓
\sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / 3.0)))) - ((double) sqrt(((double) (((double) (x / 7.0)) - 1.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x / 3.0)))) - ((double) sqrt(((double) (((double) (x / 7.0)) - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.8

    \[\sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}\]

  2. Final simplification0.8

    \[\leadsto \sqrt{\frac{x}{3}} - \sqrt{\frac{x}{7} - 1}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (sqrt (/ x 3)) (sqrt (- (/ x 7) 1)))"
  :precision binary64
  (- (sqrt (/ x 3.0)) (sqrt (- (/ x 7.0) 1.0))))