Average Error: 0.0 → 0.0
Time: 1.0s
Precision: binary64
\[0.5 \cdot \left(x \cdot x - y\right)\]
↓
\[0.5 \cdot \left(x \cdot x - y\right)\]
0.5 \cdot \left(x \cdot x - y\right)
↓
0.5 \cdot \left(x \cdot x - y\right)
(FPCore (x y) :precision binary64 (* 0.5 (- (* x x) y)))
↓
(FPCore (x y) :precision binary64 (* 0.5 (- (* x x) y)))
double code(double x, double y) {
	return 0.5 * ((x * x) - y);
}
↓
double code(double x, double y) {
	return 0.5 * ((x * x) - y);
}

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 0.0

    \[0.5 \cdot \left(x \cdot x - y\right)\]

  2. Final simplification0.0

    \[\leadsto 0.5 \cdot \left(x \cdot x - y\right)\]

Reproduce

herbie shell --seed 2020232 
(FPCore (x y)
  :name "System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2"
  :precision binary64
  (* 0.5 (- (* x x) y)))