Average Error: 0.0 → 0.0
Time: 700.0ms
Precision: binary64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673\]
↓
\[\left(y \cdot \left(x + -0.5\right) - x\right) + 0.918938533204673\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673
↓
\left(y \cdot \left(x + -0.5\right) - x\right) + 0.918938533204673
(FPCore (x y)
 :precision binary64
 (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
↓
(FPCore (x y) :precision binary64 (+ (- (* y (+ x -0.5)) x) 0.918938533204673))
double code(double x, double y) {
	return ((x * (y - 1.0)) - (y * 0.5)) + 0.918938533204673;
}
↓
double code(double x, double y) {
	return ((y * (x + -0.5)) - x) + 0.918938533204673;
}

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

    \[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(y \cdot \left(x + -0.5\right) - x\right) + 0.918938533204673}\]

  3. Final simplification0.0

    \[\leadsto \left(y \cdot \left(x + -0.5\right) - x\right) + 0.918938533204673\]

Reproduce

herbie shell --seed 2020224 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))