Average Error: 15.4 → 0.6
Time: 2.5s
Precision: binary64
\[\]
\[\]
double code(double x, double y) {
	return ((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y))));
}
double code(double x, double y) {
	double VAR;
	if (((((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= -5.99497389826133e+109) || !((((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= -5.256781878331156e-306) || (!(((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= -0.0) && (((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= 1.4978900967011268e-27))))) {
		VAR = ((double) (x * ((double) (2.0 * ((double) (y / ((double) (x - y))))))));
	} else {
		VAR = ((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y))));
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original15.4
Target0.3
Herbie0.6
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (/ (* (* x 2.0) y) (- x y)) < -5.99497389826132983e109 or -5.2567818783311559e-306 < (/ (* (* x 2.0) y) (- x y)) < -0.0 or 1.4978900967011268e-27 < (/ (* (* x 2.0) y) (- x y))

    1. Initial program 44.9

      \[\]
    2. Simplified0.4

      \[\leadsto \]

    if -5.99497389826132983e109 < (/ (* (* x 2.0) y) (- x y)) < -5.2567818783311559e-306 or -0.0 < (/ (* (* x 2.0) y) (- x y)) < 1.4978900967011268e-27

    1. Initial program 0.6

      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.6

    \[\leadsto \]

Reproduce

herbie shell --seed 2020181 
(FPCore (x y)
  :name "Linear.Projection:perspective from linear-1.19.1.3, B"
  :precision binary64

  :herbie-target
  (if (< x -1.7210442634149447e+81) (* (/ (* 2.0 x) (- x y)) y) (if (< x 8.364504563556443e+16) (/ (* x 2.0) (/ (- x y) y)) (* (/ (* 2.0 x) (- x y)) y)))

  (/ (* (* x 2.0) y) (- x y)))