Average Error: 29.6 → 1.1
Time: 8.2s
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 <= -4.903689950629846e+30) || !(z <= 4.64337809782387e+58))) {
		VAR = ((double) (x + ((double) (((double) (3.13060547623 * y)) + ((double) (((double) (y / z)) * ((double) (((double) (t / z)) - 36.527041698806414))))))));
	} else {
		VAR = ((double) (x + ((double) (y * ((double) (1.0 / ((double) (((double) (((double) (z * ((double) (((double) (z * ((double) (((double) (z * ((double) (z + 15.234687407)))) + 31.4690115749)))) + 11.9400905721)))) + 0.607771387771)) / ((double) (((double) (z * ((double) (((double) (z * ((double) (t + ((double) (z * ((double) (((double) (z * 3.13060547623)) + 11.1667541262)))))))) + a)))) + b))))))))));
	}
	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

Original29.6
Target1.1
Herbie1.1
\[\]

Derivation

  1. Split input into 2 regimes
  2. if z < -4.90368995062984573e30 or 4.64337809782386976e58 < z

    1. Initial program 60.4

      \[\]
    2. Simplified58.3

      \[\leadsto \]
    3. Taylor expanded around inf 8.5

      \[\leadsto \]
    4. Simplified1.2

      \[\leadsto \]

    if -4.90368995062984573e30 < z < 4.64337809782386976e58

    1. Initial program 2.1

      \[\]
    2. Simplified1.0

      \[\leadsto \]
    3. Using strategy rm
    4. Applied clear-num1.0

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(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))))