Average Error: 16.1 → 16.1
Time: 939.0ms
Precision: binary64
\[\frac{a \cdot x - b \cdot y}{x - y}\]
\[\frac{a \cdot x - b \cdot y}{x - y}\]
\frac{a \cdot x - b \cdot y}{x - y}
\frac{a \cdot x - b \cdot y}{x - y}
double code(double a, double x, double b, double y) {
	return ((double) (((double) (((double) (a * x)) - ((double) (b * y)))) / ((double) (x - y))));
}
double code(double a, double x, double b, double y) {
	return ((double) (((double) (((double) (a * x)) - ((double) (b * y)))) / ((double) (x - y))));
}

Error

Bits error versus a

Bits error versus x

Bits error versus b

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.1

    \[\frac{a \cdot x - b \cdot y}{x - y}\]
  2. Final simplification16.1

    \[\leadsto \frac{a \cdot x - b \cdot y}{x - y}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a x b y)
  :name "(/ (- (* a x) (* b y)) (- x y))"
  :precision binary64
  (/ (- (* a x) (* b y)) (- x y)))