Average Error: 2.8 → 0.8
Time: 4.6s
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 <= -1.6892186854509905e-93) || !(x <= 1.4690454422901802e-60))) {
		VAR = ((double) (((double) (((double) (x * ((double) sin(y)))) / y)) / z));
	} else {
		VAR = ((double) (x * ((double) (((double) (((double) sin(y)) / y)) / 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
Original2.8
Target0.3
Herbie0.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  x  < -1.68921868545099045e-93 or 1.46904544229018019e-60 <  x 
    1. Initial program 0.5
      \[\]
    2. Using strategy rm
    3. Applied associate-*r/1.2
      \[\leadsto \]
    if -1.68921868545099045e-93 <  x  < 1.46904544229018019e-60
    1. Initial program 5.9
      \[\]
    2. Using strategy rm
    3. Applied clear-num5.9
      \[\leadsto \]
    4. Using strategy rm
    5. Applied *-un-lft-identity5.9
      \[\leadsto \]
    6. Applied times-frac0.2
      \[\leadsto \]
    7. Simplified0.2
      \[\leadsto \]
    8. Simplified0.2
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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))