Average Error: 25.9 → 0
Time: 2.6s
Precision: binary64
\[\left({x}^{2} + {y}^{2}\right) - {x}^{2}\]
↓
\[{y}^{2}\]
\left({x}^{2} + {y}^{2}\right) - {x}^{2}
↓
{y}^{2}
double code(double x, double y) {
	return ((double) (((double) (((double) pow(x, 2.0)) + ((double) pow(y, 2.0)))) - ((double) pow(x, 2.0))));
}
↓
double code(double x, double y) {
	return ((double) pow(y, 2.0));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 25.9

    \[\left({x}^{2} + {y}^{2}\right) - {x}^{2}\]

  2. Simplified0

    \[\leadsto \color{blue}{{y}^{2}}\]

  3. Final simplification0

    \[\leadsto {y}^{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- (+ (pow x 2) (pow y 2)) (pow x 2))"
  :precision binary64
  (- (+ (pow x 2.0) (pow y 2.0)) (pow x 2.0)))