Average Error: 21.7 → 21.7
Time: 3.1s
Precision: binary64
\[{a}^{4} - {\left(a - b\right)}^{4}\]
↓
\[{a}^{4} - {\left(a - b\right)}^{4}\]
{a}^{4} - {\left(a - b\right)}^{4}
↓
{a}^{4} - {\left(a - b\right)}^{4}
double code(double a, double b) {
	return ((double) (((double) pow(a, 4.0)) - ((double) pow(((double) (a - b)), 4.0))));
}
↓
double code(double a, double b) {
	return ((double) (((double) pow(a, 4.0)) - ((double) pow(((double) (a - b)), 4.0))));
}

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 21.7

    \[{a}^{4} - {\left(a - b\right)}^{4}\]

  2. Final simplification21.7

    \[\leadsto {a}^{4} - {\left(a - b\right)}^{4}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- (pow a 4) (pow (- a b) 4))"
  :precision binary64
  (- (pow a 4.0) (pow (- a b) 4.0)))