Average Error: 5.7 → 0.8
Time: 5.6s
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 ((x <= 8.137335746669422e+97)) {
		VAR = ((double) (((double) (((double) (((double) (((double) (((double) log(x)) * ((double) (((double) (x * x)) - ((double) (0.5 * 0.5)))))) / ((double) (x + 0.5)))) - x)) + 0.91893853320467)) + ((double) (((double) (((double) (z * ((double) (((double) (((double) (y + 0.0007936500793651)) * z)) - 0.0027777777777778)))) + 0.083333333333333)) / x))));
	} else {
		VAR = ((double) (((double) (0.91893853320467 + ((double) (((double) (((double) (x - 0.5)) * ((double) log(((double) (((double) cbrt(x)) * ((double) cbrt(x)))))))) + ((double) (((double) (((double) (x - 0.5)) * ((double) log(((double) cbrt(x)))))) - x)))))) + ((double) (((double) (((double) (y + 0.0007936500793651)) * ((double) (z * ((double) (z / x)))))) - ((double) (0.0027777777777778 * ((double) (z / 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
Original5.7
Target1.1
Herbie0.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  x  < 8.1373357466694218e97
    1. Initial program 1.1
      \[\]
    2. Using strategy rm
    3. Applied flip--1.1
      \[\leadsto \]
    4. Applied associate-*l/1.1
      \[\leadsto \]
    5. Simplified1.1
      \[\leadsto \]
    if 8.1373357466694218e97 <  x 
    1. Initial program 12.3
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt12.3
      \[\leadsto \]
    4. Applied log-prod12.4
      \[\leadsto \]
    5. Applied distribute-lft-in12.4
      \[\leadsto \]
    6. Applied associate--l+12.3
      \[\leadsto \]
    7. Taylor expanded around inf 12.4
      \[\leadsto \]
    8. Simplified0.5
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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)))