Average Error: 20.6 → 20.6
Time: 764.0ms
Precision: binary64
\[\sqrt{b \cdot b - 4 \cdot c}\]
↓
\[\sqrt{b \cdot b - 4 \cdot c}\]
\sqrt{b \cdot b - 4 \cdot c}
↓
\sqrt{b \cdot b - 4 \cdot c}
double code(double b, double c) {
	return ((double) sqrt(((double) (((double) (b * b)) - ((double) (4.0 * c))))));
}
↓
double code(double b, double c) {
	return ((double) sqrt(((double) (((double) (b * b)) - ((double) (4.0 * 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 20.6

    \[\sqrt{b \cdot b - 4 \cdot c}\]

  2. Final simplification20.6

    \[\leadsto \sqrt{b \cdot b - 4 \cdot c}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b c)
  :name "(sqrt (- (* b b) (* 4 c)))"
  :precision binary64
  (sqrt (- (* b b) (* 4.0 c))))