Average Error: 26.3 → 26.3
Time: 1.3s
Precision: binary64
\[\sqrt{{b}^{2} - a \cdot c}\]
↓
\[\sqrt{{b}^{2} - a \cdot c}\]
\sqrt{{b}^{2} - a \cdot c}
↓
\sqrt{{b}^{2} - a \cdot c}
double code(double b, double a, double c) {
	return ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (a * c))))));
}
↓
double code(double b, double a, double c) {
	return ((double) sqrt(((double) (((double) pow(b, 2.0)) - ((double) (a * c))))));
}

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 26.3

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

  2. Final simplification26.3

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

Reproduce

herbie shell --seed 2020153 
(FPCore (b a c)
  :name "(sqrt (- (pow b 2) (* a c)))"
  :precision binary64
  (sqrt (- (pow b 2.0) (* a c))))