Average Error: 19.8 → 1.2
Time: 4.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (x + ((double) (((double) (y * ((double) (((double) (((double) (((double) (z * 0.0692910599291889)) + 0.4917317610505968)) * z)) + 0.279195317918525)))) / ((double) (((double) (((double) (z + 6.012459259764103)) * z)) + 3.350343815022304))))));
}

↓
double code(double x, double y, double z) {
	double VAR;
	if ((((double) (((double) (y * ((double) (((double) (z * ((double) (((double) (z * 0.0692910599291889)) + 0.4917317610505968)))) + 0.279195317918525)))) / ((double) (((double) (z * ((double) (z + 6.012459259764103)))) + 3.350343815022304)))) <= 7.743482198600694e+272)) {
		VAR = ((double) (x + ((double) (y * ((double) (((double) sqrt(((double) (((double) (((double) (z * ((double) (((double) (z * 0.0692910599291889)) + 0.4917317610505968)))) + 0.279195317918525)) / ((double) (((double) (z * ((double) (z + 6.012459259764103)))) + 3.350343815022304)))))) * ((double) sqrt(((double) (((double) (((double) (z * ((double) (((double) (z * 0.0692910599291889)) + 0.4917317610505968)))) + 0.279195317918525)) / ((double) (((double) (z * ((double) (z + 6.012459259764103)))) + 3.350343815022304))))))))))));
	} else {
		VAR = ((double) (x + ((double) (y * ((double) (0.0692910599291889 + ((double) (((double) (0.07512208616047561 / z)) - ((double) (0.40462203869992125 / ((double) (z * z))))))))))));
	}
	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
Original19.8
Target0.2
Herbie1.2
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))  < 7.7434821986006942e272
    1. Initial program 3.0
      \[\]
    2. Simplified0.1
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-sqr-sqrt0.2
      \[\leadsto \]
    if 7.7434821986006942e272 <  (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) 
    1. Initial program 60.4
      \[\]
    2. Simplified53.7
      \[\leadsto \]
    3. Taylor expanded around inf 3.6
      \[\leadsto \]
    4. Simplified3.6
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B"
  :precision binary64

  :herbie-target
  (if (< z -8120153.652456675) (- (* (+ (/ 0.07512208616047561 z) 0.0692910599291889) y) (- (/ (* 0.40462203869992125 y) (* z z)) x)) (if (< z 6.576118972787377e+20) (+ x (* (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (/ 1.0 (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (- (* (+ (/ 0.07512208616047561 z) 0.0692910599291889) y) (- (/ (* 0.40462203869992125 y) (* z z)) x))))

  (+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))