Average Error: 12.5 → 1.9
Time: 3.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (y + z)))) / z));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if (((((double) (((double) (x * ((double) (y + z)))) / z)) <= -1.0941573754303678e+301) || !(((double) (((double) (x * ((double) (y + z)))) / z)) <= -9.191605125197159e+72))) {
		VAR = ((double) (x + ((double) (x * ((double) (y / z))))));
	} else {
		VAR = ((double) (x + ((double) (((double) (x * y)) * ((double) (1.0 / z))))));
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original12.5
Target3.0
Herbie1.9
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (/ (* x (+ y z)) z)  < -1.0941573754303678e301 or -9.1916051251971588e72 <  (/ (* x (+ y z)) z) 
    1. Initial program 14.7
      \[\]
    2. Simplified2.2
      \[\leadsto \]
    if -1.0941573754303678e301 <  (/ (* x (+ y z)) z)  < -9.1916051251971588e72
    1. Initial program 0.2
      \[\]
    2. Simplified9.5
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv9.5
      \[\leadsto \]
    5. Applied associate-*r*0.2
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:choose from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (/ x (/ z (+ y z)))

  (/ (* x (+ y z)) z))