Average Error: 26.7 → 26.7
Time: 1.1s
Precision: binary64
\[\sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}\]
↓
\[\sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}\]
\sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}
↓
\sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}
double code(double b, double a, double c) {
	return ((double) sqrt(((double) (((double) (((double) fabs(b)) * ((double) fabs(b)))) - ((double) (((double) (4.0 * a)) * c))))));
}
↓
double code(double b, double a, double c) {
	return ((double) sqrt(((double) (((double) (((double) fabs(b)) * ((double) fabs(b)))) - ((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

    \[\sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}\]

  2. Final simplification26.7

    \[\leadsto \sqrt{\left|b\right| \cdot \left|b\right| - \left(4 \cdot a\right) \cdot c}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (b a c)
  :name "(sqrt (- (* (fabs b) (fabs b)) (* (* 4 a) c)))"
  :precision binary64
  (sqrt (- (* (fabs b) (fabs b)) (* (* 4.0 a) c))))