Average Error: 2.7 → 0.7
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 (((((double) (x * ((double) (((double) sin(y)) / y)))) <= -6.242175176687251e-277) || !(((double) (x * ((double) (((double) sin(y)) / y)))) <= 1.6555289382660526e-247))) {
		VAR = ((double) (((double) (x * ((double) (((double) sin(y)) / y)))) / z));
	} else {
		VAR = ((double) (((double) sin(y)) * ((double) (x / ((double) (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

Original2.7
Target0.3
Herbie0.7
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (* x (/ (sin y) y)) < -6.2421751766872513e-277 or 1.65552893826605259e-247 < (* x (/ (sin y) y))

    1. Initial program 0.2

      \[\]

    if -6.2421751766872513e-277 < (* x (/ (sin y) y)) < 1.65552893826605259e-247

    1. Initial program 12.4

      \[\]
    2. Taylor expanded around inf 5.9

      \[\leadsto \]
    3. Simplified2.7

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(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))