Average Error: 30.3 → 30.3
Time: 1.4s
Precision: binary64
\[\frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}\]
↓
\[\frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}\]
\frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}
↓
\frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}
double code(double b, double c) {
	return ((double) (((double) (b + ((double) sqrt(((double) (((double) (b * b)) - ((double) (4.0 * c)))))))) / 2.0));
}
↓
double code(double b, double c) {
	return ((double) (((double) (b + ((double) sqrt(((double) (((double) (b * b)) - ((double) (4.0 * c)))))))) / 2.0));
}

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 30.3

    \[\frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}\]

  2. Final simplification30.3

    \[\leadsto \frac{b + \sqrt{b \cdot b - 4 \cdot c}}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (b c)
  :name "(/ (+ b (sqrt (- (* b b) (* 4 c)))) 2)"
  :precision binary64
  (/ (+ b (sqrt (- (* b b) (* 4.0 c)))) 2.0))