Average Error: 16.1 → 16.1
Time: 1.3s
Precision: binary64
\[\frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}\]
↓
\[\frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}\]
\frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}
↓
\frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}
double code(double l, double p, double a) {
	return ((double) (((double) (((double) (2.0 * l)) * p)) / ((double) pow(a, 2.0))));
}
↓
double code(double l, double p, double a) {
	return ((double) (((double) (((double) (2.0 * l)) * p)) / ((double) pow(a, 2.0))));
}

Error

Bits error versus l

Bits error versus p

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}\]

  2. Final simplification16.1

    \[\leadsto \frac{\left(2 \cdot \ell\right) \cdot p}{{a}^{2}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (l p a)
  :name "(/ (* (* 2 l) p) (pow a 2))"
  :precision binary64
  (/ (* (* 2.0 l) p) (pow a 2.0)))