Average Error: 29.5 → 29.5
Time: 1.7s
Precision: binary64
\[\frac{b - \sqrt{{b}^{2} - 4 \cdot c}}{2}\]
↓
\[\frac{b - \sqrt{{b}^{2} - 4 \cdot c}}{2}\]
\frac{b - \sqrt{{b}^{2} - 4 \cdot c}}{2}
↓
\frac{b - \sqrt{{b}^{2} - 4 \cdot c}}{2}
double code(double b, double c) {
	return ((double) (((double) (b - ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (4.0 * c)))))))) / 2.0));
}
↓
double code(double b, double c) {
	return ((double) (((double) (b - ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (4.0 * c)))))))) / 2.0));
}

Error

Bits error versus b

Bits error versus c

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Your Program's Arguments

Results

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Derivation

  1. Initial program 29.5

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

  2. Final simplification29.5

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

Reproduce

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