Average Error: 29.5 → 29.5
Time: 1.1s
Precision: binary64
\[b - \sqrt{b \cdot b - c}\]
↓
\[b - \sqrt{b \cdot b - c}\]
b - \sqrt{b \cdot b - c}
↓
b - \sqrt{b \cdot b - c}
double code(double b, double c) {
	return ((double) (b - ((double) sqrt(((double) (((double) (b * b)) - c))))));
}
↓
double code(double b, double c) {
	return ((double) (b - ((double) sqrt(((double) (((double) (b * b)) - c))))));
}

Error

Bits error versus b

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.5

    \[b - \sqrt{b \cdot b - c}\]

  2. Final simplification29.5

    \[\leadsto b - \sqrt{b \cdot b - c}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (b c)
  :name "(- b (sqrt (- (* b b) c)))"
  :precision binary64
  (- b (sqrt (- (* b b) c))))