Average Error: 26.7 → 26.7
Time: 1.4s
Precision: binary64
\[\sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}\]
↓
\[\sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}\]
\sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}
↓
\sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}
double code(double B, double A, double C) {
	return ((double) sqrt(((double) (((double) pow(B, 2.0)) - ((double) (((double) (4.0 * A)) * C))))));
}
↓
double code(double B, double A, double C) {
	return ((double) sqrt(((double) (((double) pow(B, 2.0)) - ((double) (((double) (4.0 * 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 26.7

    \[\sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}\]

  2. Final simplification26.7

    \[\leadsto \sqrt{{B}^{2} - \left(4 \cdot A\right) \cdot C}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (B A C)
  :name "(sqrt (- (pow B 2) (* (* 4 A) C)))"
  :precision binary64
  (sqrt (- (pow B 2.0) (* (* 4.0 A) C))))