Average Error: 0.0 → 0.0
Time: 1.0s
Precision: binary64
\[\left(r \cdot r - b \cdot b\right) - 1\]
↓
\[\left(r \cdot r - b \cdot b\right) - 1\]
\left(r \cdot r - b \cdot b\right) - 1
↓
\left(r \cdot r - b \cdot b\right) - 1
double code(double r, double b) {
	return ((double) (((double) (((double) (r * r)) - ((double) (b * b)))) - 1.0));
}
↓
double code(double r, double b) {
	return ((double) (((double) (((double) (r * r)) - ((double) (b * b)))) - 1.0));
}

Error

Bits error versus r

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(r \cdot r - b \cdot b\right) - 1\]

  2. Final simplification0.0

    \[\leadsto \left(r \cdot r - b \cdot b\right) - 1\]

Reproduce

herbie shell --seed 2020152 
(FPCore (r b)
  :name "(- (- (* r r) (* b b)) 1)"
  :precision binary64
  (- (- (* r r) (* b b)) 1.0))