Average Error: 14.8 → 1.7
Time: 3.7s
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) (((double) cbrt(((double) (((double) cbrt(y)) * ((double) cbrt(y)))))) / z)) * ((double) (((double) cbrt(y)) * ((double) (x * ((double) (((double) cbrt(y)) / z)))))))) * ((double) (((double) cbrt(((double) cbrt(y)))) / ((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
Original14.8
Target4.2
Herbie1.7
\[\]
Derivation
  1. Initial program 14.8
    \[\]
  2. Simplified13.6
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt13.9
    \[\leadsto \]
  5. Applied times-frac8.8
    \[\leadsto \]
  6. Applied associate-*r*3.1
    \[\leadsto \]
  7. Simplified3.1
    \[\leadsto \]
  8. Using strategy rm
  9. Applied add-cube-cbrt3.2
    \[\leadsto \]
  10. Applied cbrt-prod3.2
    \[\leadsto \]
  11. Applied times-frac2.3
    \[\leadsto \]
  12. Applied associate-*r*1.7
    \[\leadsto \]
  13. Simplified1.7
    \[\leadsto \]
  14. Final simplification1.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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))))