Average Error: 2.7 → 0.5
Time: 4.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * ((double) (((double) sin(y)) / y)))) / z));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if ((x <= -8.52145976776694e+86)) {
		VAR = ((double) (((double) (x / ((double) (y / ((double) sin(y)))))) / z));
	} else {
		double VAR_1;
		if ((x <= 1.5499491361677228e+86)) {
			VAR_1 = ((double) (((double) (((double) sin(y)) / y)) * ((double) (x / z))));
		} else {
			VAR_1 = ((double) (((double) (((double) (x * ((double) sin(y)))) / y)) / z));
		}
		VAR = VAR_1;
	}
	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
Original2.7
Target0.3
Herbie0.5
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  x  < -8.52145976776693961e86
    1. Initial program 0.2
      \[\]
    2. Using strategy rm
    3. Applied clear-num0.2
      \[\leadsto \]
    4. Using strategy rm
    5. Applied un-div-inv0.2
      \[\leadsto \]
    if -8.52145976776693961e86 <  x  < 1.54994913616772279e86
    1. Initial program 3.7
      \[\]
    2. Using strategy rm
    3. Applied clear-num3.8
      \[\leadsto \]
    4. Using strategy rm
    5. Applied un-div-inv3.7
      \[\leadsto \]
    6. Taylor expanded around inf 11.8
      \[\leadsto \]
    7. Simplified0.6
      \[\leadsto \]
    if 1.54994913616772279e86 <  x 
    1. Initial program 0.2
      \[\]
    2. Using strategy rm
    3. Applied associate-*r/0.2
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(FPCore (x y z)
  :name "Linear.Quaternion:$ctanh from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< z -4.2173720203427147e-29) (/ (* x (/ 1.0 (/ y (sin y)))) z) (if (< z 4.446702369113811e+64) (/ x (* z (/ y (sin y)))) (/ (* x (/ 1.0 (/ y (sin y)))) z)))

  (/ (* x (/ (sin y) y)) z))