Average Error: 26.7 → 0.5
Time: 6.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x - 2.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (((double) (((double) (x * 4.16438922228)) + 78.6994924154)) * x)) + 137.519416416)) * x)) + y)) * x)) + z)))) / ((double) (((double) (((double) (((double) (((double) (((double) (((double) (x + 43.3400022514)) * x)) + 263.505074721)) * x)) + 313.399215894)) * x)) + 47.066876606))));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if (((x <= -2.914220050300624e+68) || !(x <= 2.680569997672386e+61))) {
		VAR = ((double) (((double) (x - 2.0)) * ((double) (4.16438922228 + ((double) (((double) (y / ((double) pow(x, 3.0)))) - ((double) (101.7851458539211 / x))))))));
	} else {
		VAR = ((double) (((double) (x - 2.0)) * ((double) (((double) (((double) (x * ((double) (y + ((double) (x * ((double) (((double) (((double) (x * ((double) (((double) (x * ((double) (4.16438922228 * ((double) (x * 4.16438922228)))))) - ((double) (78.6994924154 * 78.6994924154)))))) / ((double) (((double) (x * 4.16438922228)) - 78.6994924154)))) + 137.519416416)))))))) + z)) / ((double) (((double) (x * ((double) (((double) (x * ((double) (((double) (x * ((double) (x + 43.3400022514)))) + 263.505074721)))) + 313.399215894)))) + 47.066876606))))));
	}
	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
Original26.7
Target0.5
Herbie0.5
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  x  < -2.91422005030062403e68 or 2.6805699976723859e61 <  x 
    1. Initial program 64.0
      \[\]
    2. Simplified61.0
      \[\leadsto \]
    3. Taylor expanded around inf 0.1
      \[\leadsto \]
    4. Simplified0.1
      \[\leadsto \]
    if -2.91422005030062403e68 <  x  < 2.6805699976723859e61
    1. Initial program 2.3
      \[\]
    2. Simplified0.7
      \[\leadsto \]
    3. Using strategy rm
    4. Applied flip-+0.7
      \[\leadsto \]
    5. Applied associate-*r/0.7
      \[\leadsto \]
    6. Simplified0.7
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, C"
  :precision binary64

  :herbie-target
  (if (< x -3.326128725870005e+62) (- (+ (/ y (* x x)) (* 4.16438922228 x)) 110.1139242984811) (if (< x 9.429991714554673e+55) (* (/ (- x 2.0) 1.0) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (+ (* 263.505074721 x) (+ (* 43.3400022514 (* x x)) (* x (* x x)))) 313.399215894) x) 47.066876606))) (- (+ (/ y (* x x)) (* 4.16438922228 x)) 110.1139242984811)))

  (/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))