Average Error: 0.1 → 0.1
Time: 700.0ms
Precision: binary64
\[\frac{x + y}{x - y} - 3 \cdot x\]
↓
\[\frac{x + y}{x - y} - 3 \cdot x\]
\frac{x + y}{x - y} - 3 \cdot x
↓
\frac{x + y}{x - y} - 3 \cdot x
double code(double x, double y) {
	return ((double) (((double) (((double) (x + y)) / ((double) (x - y)))) - ((double) (3.0 * x))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (x + y)) / ((double) (x - y)))) - ((double) (3.0 * x))));
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.1

    \[\frac{x + y}{x - y} - 3 \cdot x\]

  2. Final simplification0.1

    \[\leadsto \frac{x + y}{x - y} - 3 \cdot x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- (/ (+ x y) (- x y)) (* 3 x))"
  :precision binary64
  (- (/ (+ x y) (- x y)) (* 3.0 x)))