Average Error: 19.3 → 19.3
Time: 1.7s
Precision: binary64
\[\frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}\]
↓
\[\frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}\]
\frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}
↓
\frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}
double code(double ac, double b, double a) {
	return ((double) (((double) (((double) (3.0 * ac)) - ((double) pow(b, 2.0)))) / ((double) (3.0 * ((double) pow(a, 2.0))))));
}
↓
double code(double ac, double b, double a) {
	return ((double) (((double) (((double) (3.0 * ac)) - ((double) pow(b, 2.0)))) / ((double) (3.0 * ((double) pow(a, 2.0))))));
}

Error

Bits error versus ac

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 19.3

    \[\frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}\]

  2. Final simplification19.3

    \[\leadsto \frac{3 \cdot ac - {b}^{2}}{3 \cdot {a}^{2}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (ac b a)
  :name "(/ (- (* 3 ac) (pow b 2)) (* 3 (pow a 2)))"
  :precision binary64
  (/ (- (* 3.0 ac) (pow b 2.0)) (* 3.0 (pow a 2.0))))