Average Error: 2.7 → 0.2
Time: 4.9s
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)))) <= -6.433869501891082e-231) || !(((double) (x * ((double) (((double) sin(y)) / y)))) <= 4.4465908125712e-323))) {
		VAR = ((double) (((double) (x * ((double) (((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

Original2.7
Target0.4
Herbie0.2
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (* x (/ (sin y) y)) < -6.43386950189108172e-231 or 4.44659e-323 < (* x (/ (sin y) y))

    1. Initial program 0.3

      \[\]

    if -6.43386950189108172e-231 < (* x (/ (sin y) y)) < 4.44659e-323

    1. Initial program 12.6

      \[\]
    2. Using strategy rm
    3. Applied clear-num12.6

      \[\leadsto \]
    4. Using strategy rm
    5. Applied *-un-lft-identity12.6

      \[\leadsto \]
    6. Applied times-frac0.3

      \[\leadsto \]
    7. Simplified0.3

      \[\leadsto \]
    8. Simplified0.2

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

    \[\leadsto \]

Reproduce

herbie shell --seed 2020181 
(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))