Average Error: 30.3 → 30.3
Time: 1.9s
Precision: binary64
\[b + \sqrt{{b}^{2} - 4 \cdot a}\]
↓
\[b + \sqrt{{b}^{2} - 4 \cdot a}\]
b + \sqrt{{b}^{2} - 4 \cdot a}
↓
b + \sqrt{{b}^{2} - 4 \cdot a}
double code(double b, double a) {
	return ((double) (b + ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (4.0 * a))))))));
}
↓
double code(double b, double a) {
	return ((double) (b + ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (4.0 * a))))))));
}

Error

Bits error versus b

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.3

    \[b + \sqrt{{b}^{2} - 4 \cdot a}\]

  2. Final simplification30.3

    \[\leadsto b + \sqrt{{b}^{2} - 4 \cdot a}\]

Reproduce

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