Average Error: 34.7 → 34.7
Time: 1.6s
Precision: binary64
\[\frac{b - \sqrt{b \cdot b - a \cdot c}}{a}\]
↓
\[\frac{b - \sqrt{b \cdot b - a \cdot c}}{a}\]
\frac{b - \sqrt{b \cdot b - a \cdot c}}{a}
↓
\frac{b - \sqrt{b \cdot b - a \cdot c}}{a}
double code(double b, double a, double c) {
	return ((double) (((double) (b - ((double) sqrt(((double) (((double) (b * b)) - ((double) (a * c)))))))) / a));
}
↓
double code(double b, double a, double c) {
	return ((double) (((double) (b - ((double) sqrt(((double) (((double) (b * b)) - ((double) (a * c)))))))) / a));
}

Error

Bits error versus b

Bits error versus a

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 34.7

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

  2. Final simplification34.7

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

Reproduce

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