Average Error: 6.0 → 0.4
Time: 6.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (((double) (((double) (x - 0.5)) * ((double) log(x)))) - x)) + 0.91893853320467)) + ((double) (((double) (((double) (((double) (((double) (((double) (y + 0.0007936500793651)) * z)) - 0.0027777777777778)) * z)) + 0.083333333333333)) / x))));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if (((z <= -1.8860184916081755e+24) || !(z <= 3.529602132269039e+16))) {
		VAR = ((double) (((double) (((double) (((double) (((double) (x - 0.5)) * ((double) log(x)))) - x)) + 0.91893853320467)) + ((double) (((double) (((double) (z * ((double) (z / x)))) * ((double) (y + 0.0007936500793651)))) - ((double) (z * ((double) (0.0027777777777778 / x))))))));
	} else {
		VAR = ((double) (((double) (0.91893853320467 + ((double) (((double) (((double) (((double) (x - 0.5)) * ((double) (((double) log(((double) pow(x, 0.3333333333333333)))) * 2.0)))) + ((double) (((double) (x - 0.5)) * ((double) log(((double) cbrt(x)))))))) - x)))) + ((double) (((double) (((double) (z * ((double) (((double) (z * ((double) (y + 0.0007936500793651)))) - 0.0027777777777778)))) + 0.083333333333333)) / x))));
	}
	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
Original6.0
Target1.3
Herbie0.4
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  z  < -1.88601849160817548e24 or 35296021322690392 <  z 
    1. Initial program 22.7
      \[\]
    2. Taylor expanded around inf 23.1
      \[\leadsto \]
    3. Simplified0.7
      \[\leadsto \]
    if -1.88601849160817548e24 <  z  < 35296021322690392
    1. Initial program 0.3
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt0.3
      \[\leadsto \]
    4. Applied log-prod0.3
      \[\leadsto \]
    5. Applied distribute-lft-in0.3
      \[\leadsto \]
    6. Simplified0.3
      \[\leadsto \]
    7. Using strategy rm
    8. Applied pow1/30.3
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, B"
  :precision binary64

  :herbie-target
  (+ (+ (+ (* (- x 0.5) (log x)) (- 0.91893853320467 x)) (/ 0.083333333333333 x)) (* (/ z x) (- (* z (+ y 0.0007936500793651)) 0.0027777777777778)))

  (+ (+ (- (* (- x 0.5) (log x)) x) 0.91893853320467) (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)))