Average Error: 0.2 → 0.2
Time: 814.0ms
Precision: binary64
\[\frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b\]
↓
\[\frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b\]
\frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b
↓
\frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b
double code(double a, double b) {
	return ((double) (((double) (a / ((double) sqrt(3.0)))) - ((double) (((double) sqrt(((double) (2.0 / 3.0)))) * b))));
}
↓
double code(double a, double b) {
	return ((double) (((double) (a / ((double) sqrt(3.0)))) - ((double) (((double) sqrt(((double) (2.0 / 3.0)))) * b))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b\]

  2. Final simplification0.2

    \[\leadsto \frac{a}{\sqrt{3}} - \sqrt{\frac{2}{3}} \cdot b\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- (/ a (sqrt 3.0)) (* (sqrt (/ 2.0 3.0)) b))"
  :precision binary64
  (- (/ a (sqrt 3.0)) (* (sqrt (/ 2.0 3.0)) b)))