Average Error: 11.0 → 4.9
Time: 6.1s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) exp(((double) (x * ((double) log(((double) (x / ((double) (x + y)))))))))) / x));
}

↓
double code(double x, double y) {
	double VAR;
	if (((y <= 710.9535870360606) || !((y <= 5.967650503494568e+51) || (!(y <= 3.164678549410275e+86) && (y <= 1.1647152521001902e+159))))) {
		VAR = ((double) (((double) (((double) exp(((double) (x * ((double) (((double) log(((double) (((double) cbrt(x)) / ((double) cbrt(((double) (y + x)))))))) * 2.0)))))) * ((double) pow(((double) (((double) cbrt(x)) / ((double) cbrt(((double) (y + x)))))), x)))) / x));
	} else {
		VAR = ((double) log(((double) exp(((double) (((double) pow(((double) (x / ((double) (y + x)))), x)) / x))))));
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original11.0
Target8.3
Herbie4.9
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  y  < 710.95358703606064 or 5.96765050349456811e51 <  y  < 3.16467854941027495e86 or 1.16471525210019018e159 <  y 
    1. Initial program 8.3
      \[\]
    2. Simplified8.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt28.4
      \[\leadsto \]
    5. Applied add-cube-cbrt8.3
      \[\leadsto \]
    6. Applied times-frac8.3
      \[\leadsto \]
    7. Applied unpow-prod-down4.3
      \[\leadsto \]
    8. Simplified4.3
      \[\leadsto \]
    9. Using strategy rm
    10. Applied add-exp-log46.4
      \[\leadsto \]
    11. Applied add-exp-log34.2
      \[\leadsto \]
    12. Applied div-exp34.2
      \[\leadsto \]
    13. Applied add-exp-log46.4
      \[\leadsto \]
    14. Applied add-exp-log34.2
      \[\leadsto \]
    15. Applied div-exp34.2
      \[\leadsto \]
    16. Applied prod-exp34.2
      \[\leadsto \]
    17. Applied pow-exp33.6
      \[\leadsto \]
    18. Simplified3.0
      \[\leadsto \]
    if 710.95358703606064 <  y  < 5.96765050349456811e51 or 3.16467854941027495e86 <  y  < 1.16471525210019018e159
    1. Initial program 36.0
      \[\]
    2. Simplified36.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-log-exp22.5
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification4.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, F"
  :precision binary64

  :herbie-target
  (if (< y -3.7311844206647956e+94) (/ (exp (/ -1.0 y)) x) (if (< y 2.817959242728288e+37) (/ (pow (/ x (+ y x)) x) x) (if (< y 2.347387415166998e+178) (log (exp (/ (pow (/ x (+ y x)) x) x))) (/ (exp (/ -1.0 y)) x))))

  (/ (exp (* x (log (/ x (+ x y))))) x))