Average Error: 15.5 → 1.1
Time: 2.3s
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)))) <= -1.5308798672395856e-89)) {
		VAR = ((double) (x * ((double) (2.0 * ((double) (y / ((double) (x - y))))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= -2.8490993144159397e-298)) {
			VAR_1 = ((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y))));
		} else {
			double VAR_2;
			if ((((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= 8.782540594268079e-306)) {
				VAR_2 = ((double) (((double) (x * 2.0)) / ((double) (((double) (x / y)) + -1.0))));
			} else {
				double VAR_3;
				if ((((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y)))) <= 7.876391799697498e-76)) {
					VAR_3 = ((double) (((double) (((double) (x * 2.0)) * y)) / ((double) (x - y))));
				} else {
					VAR_3 = ((double) (x * ((double) (2.0 * ((double) (y / ((double) (x - y))))))));
				}
				VAR_2 = VAR_3;
			}
			VAR_1 = VAR_2;
		}
		VAR = VAR_1;
	}
	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
Original15.5
Target0.3
Herbie1.1
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (/ (* (* x 2.0) y) (- x y))  < -1.5308798672395856e-89 or 7.87639179969749785e-76 <  (/ (* (* x 2.0) y) (- x y)) 
    1. Initial program 20.7
      \[\]
    2. Simplified1.1
      \[\leadsto \]
    if -1.5308798672395856e-89 <  (/ (* (* x 2.0) y) (- x y))  < -2.8490993144159397e-298 or 8.78254059426807896e-306 <  (/ (* (* x 2.0) y) (- x y))  < 7.87639179969749785e-76
    1. Initial program 0.8
      \[\]
    if -2.8490993144159397e-298 <  (/ (* (* x 2.0) y) (- x y))  < 8.78254059426807896e-306
    1. Initial program 54.5
      \[\]
    2. Simplified2.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num2.1
      \[\leadsto \]
    5. Simplified2.1
      \[\leadsto \]
    6. Using strategy rm
    7. Applied un-div-inv2.1
      \[\leadsto \]
    8. Applied associate-*r/2.0
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.1
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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)))