Average Error: 15.2 → 3.3
Time: 4.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * y)) / ((double) (((double) (z * z)) * ((double) (z + 1.0))))));
}

↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) cbrt(y)) * ((double) (((double) (((double) cbrt(y)) / z)) * x)))) * ((double) (((double) cbrt(y)) / ((double) (z * ((double) (z + 1.0))))))));
}

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
Original15.2
Target4.0
Herbie3.3
\[\]
Derivation
  1. Initial program 15.2
    \[\]
  2. Simplified13.6
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt13.9
    \[\leadsto \]
  5. Applied times-frac8.6
    \[\leadsto \]
  6. Applied associate-*r*3.4
    \[\leadsto \]
  7. Simplified3.4
    \[\leadsto \]
  8. Using strategy rm
  9. Applied associate-*l*3.3
    \[\leadsto \]
  10. Final simplification3.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z)
  :name "Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (if (< z 249.6182814532307) (/ (* y (/ x z)) (+ z (* z z))) (/ (* (/ (/ y z) (+ 1.0 z)) x) z))

  (/ (* x y) (* (* z z) (+ z 1.0))))