Average Error: 29.2 → 1.2
Time: 9.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a, double b) {
	return ((double) (x + ((double) (((double) (y * ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (z * 3.13060547623)) + 11.1667541262)) * z)) + t)) * z)) + a)) * z)) + b)))) / ((double) (((double) (((double) (((double) (((double) (((double) (((double) (z + 15.234687407)) * z)) + 31.4690115749)) * z)) + 11.9400905721)) * z)) + 0.607771387771))))));
}

↓
double code(double x, double y, double z, double t, double a, double b) {
	double VAR;
	if (((z <= -2.0168192840175004e+37) || !(z <= 8.072798115929079e+20))) {
		VAR = ((double) (((double) (y * ((double) (((double) (t / ((double) (z * z)))) + 3.13060547623)))) + x));
	} else {
		VAR = ((double) (x + ((double) (y * ((double) (((double) (((double) (z * ((double) (((double) (z * ((double) (t + ((double) (z * ((double) (((double) (z * 3.13060547623)) + 11.1667541262)))))))) + a)))) + b)) / ((double) (((double) (z * ((double) (((double) (z * ((double) (((double) (z * ((double) (z + 15.234687407)))) + 31.4690115749)))) + 11.9400905721)))) + 0.607771387771))))))));
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Bits error versus a
Bits error versus b
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original29.2
Target1.2
Herbie1.2
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  z  < -2.0168192840175004e37 or 807279811592907920000 <  z 
    1. Initial program 58.5
      \[\]
    2. Simplified55.9
      \[\leadsto \]
    3. Taylor expanded around inf 9.6
      \[\leadsto \]
    4. Simplified1.9
      \[\leadsto \]
    5. Taylor expanded around inf 9.6
      \[\leadsto \]
    6. Simplified1.8
      \[\leadsto \]
    if -2.0168192840175004e37 <  z  < 807279811592907920000
    1. Initial program 1.2
      \[\]
    2. Simplified0.6
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, D"
  :precision binary64

  :herbie-target
  (if (< z -6.499344996252632e+53) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0))) (if (< z 7.066965436914287e+59) (+ x (/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))) (+ x (* (+ (- 3.13060547623 (/ 36.527041698806414 z)) (/ t (* z z))) (/ y 1.0)))))

  (+ x (/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))))