Average Error: 6.1 → 0.3
Time: 6.0s
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 <= 5884704.858232215)) {
		VAR = ((double) (((double) (((double) (((double) sqrt(x)) + ((double) sqrt(0.5)))) * ((double) (((double) log(x)) * ((double) (((double) sqrt(x)) - ((double) sqrt(0.5)))))))) + ((double) (0.91893853320467 + ((double) (((double) (((double) (((double) (z * ((double) (((double) (z * ((double) (y + 0.0007936500793651)))) - 0.0027777777777778)))) + 0.083333333333333)) / x)) - x))))));
	} else {
		VAR = ((double) (((double) (((double) log(x)) * ((double) (x - 0.5)))) + ((double) (0.91893853320467 + ((double) (((double) (((double) (((double) (y + 0.0007936500793651)) * ((double) (z / ((double) (x / z)))))) - ((double) (0.0027777777777778 * ((double) (z / x)))))) - 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
Original6.1
Target1.3
Herbie0.3
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  x  < 5884704.858232215
    1. Initial program 0.1
      \[\]
    2. Simplified0.1
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-sqr-sqrt0.1
      \[\leadsto \]
    5. Applied add-sqr-sqrt0.1
      \[\leadsto \]
    6. Applied difference-of-squares0.1
      \[\leadsto \]
    7. Applied associate-*l*0.1
      \[\leadsto \]
    8. Simplified0.1
      \[\leadsto \]
    if 5884704.858232215 <  x 
    1. Initial program 10.4
      \[\]
    2. Simplified10.4
      \[\leadsto \]
    3. Taylor expanded around inf 10.5
      \[\leadsto \]
    4. Simplified0.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(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)))