Average Error: 0.0 → 0.0
Time: 1.7s
Precision: binary64
\[\left({x}^{2} - 2 \cdot xy\right) + {y}^{2}\]
↓
\[\left({x}^{2} - 2 \cdot xy\right) + {y}^{2}\]
\left({x}^{2} - 2 \cdot xy\right) + {y}^{2}
↓
\left({x}^{2} - 2 \cdot xy\right) + {y}^{2}
double code(double x, double xy, double y) {
	return ((double) (((double) (((double) pow(x, 2.0)) - ((double) (2.0 * xy)))) + ((double) pow(y, 2.0))));
}
↓
double code(double x, double xy, double y) {
	return ((double) (((double) (((double) pow(x, 2.0)) - ((double) (2.0 * xy)))) + ((double) pow(y, 2.0))));
}

Error

Bits error versus x

Bits error versus xy

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x xy y)
  :name "(+ (- (pow x 2) (* 2 xy)) (pow y 2))"
  :precision binary64
  (+ (- (pow x 2.0) (* 2.0 xy)) (pow y 2.0)))