Average Error: 29.5 → 26.8
Time: 1.3s
Precision: binary64
\[\frac{a \cdot a}{\left(a \cdot a\right) \cdot a - \left(b \cdot b\right) \cdot b}\]
↓
\[\frac{a}{\frac{{a}^{3}}{a} - \frac{{b}^{3}}{a}}\]
\frac{a \cdot a}{\left(a \cdot a\right) \cdot a - \left(b \cdot b\right) \cdot b}
↓
\frac{a}{\frac{{a}^{3}}{a} - \frac{{b}^{3}}{a}}
double code(double a, double b) {
	return ((double) (((double) (a * a)) / ((double) (((double) (((double) (a * a)) * a)) - ((double) (((double) (b * b)) * b))))));
}
↓
double code(double a, double b) {
	return ((double) (a / ((double) (((double) (((double) pow(a, 3.0)) / a)) - ((double) (((double) pow(b, 3.0)) / a))))));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.5

    \[\frac{a \cdot a}{\left(a \cdot a\right) \cdot a - \left(b \cdot b\right) \cdot b}\]

  2. Simplified26.8

    \[\leadsto \color{blue}{\frac{a}{\frac{{a}^{3}}{a} - \frac{{b}^{3}}{a}}}\]

  3. Final simplification26.8

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

Reproduce

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