Average Error: 0.0 → 0.0
Time: 1.4s
Precision: binary64
\[{a}^{2} - {b}^{2}\]
↓
\[{a}^{2} - {b}^{2}\]
{a}^{2} - {b}^{2}
↓
{a}^{2} - {b}^{2}
double code(double a, double b) {
	return ((double) (((double) pow(a, 2.0)) - ((double) pow(b, 2.0))));
}
↓
double code(double a, double b) {
	return ((double) (((double) pow(a, 2.0)) - ((double) pow(b, 2.0))));
}

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 0.0

    \[{a}^{2} - {b}^{2}\]

  2. Final simplification0.0

    \[\leadsto {a}^{2} - {b}^{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(- (pow a 2) (pow b 2))"
  :precision binary64
  (- (pow a 2.0) (pow b 2.0)))