Average Error: 29.0 → 29.0
Time: 27.4s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
↓
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r66702 = x;
        double r66703 = y;
        double r66704 = r66702 * r66703;
        double r66705 = z;
        double r66706 = r66704 + r66705;
        double r66707 = r66706 * r66703;
        double r66708 = 27464.7644705;
        double r66709 = r66707 + r66708;
        double r66710 = r66709 * r66703;
        double r66711 = 230661.510616;
        double r66712 = r66710 + r66711;
        double r66713 = r66712 * r66703;
        double r66714 = t;
        double r66715 = r66713 + r66714;
        double r66716 = a;
        double r66717 = r66703 + r66716;
        double r66718 = r66717 * r66703;
        double r66719 = b;
        double r66720 = r66718 + r66719;
        double r66721 = r66720 * r66703;
        double r66722 = c;
        double r66723 = r66721 + r66722;
        double r66724 = r66723 * r66703;
        double r66725 = i;
        double r66726 = r66724 + r66725;
        double r66727 = r66715 / r66726;
        return r66727;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r66728 = x;
        double r66729 = y;
        double r66730 = r66728 * r66729;
        double r66731 = z;
        double r66732 = r66730 + r66731;
        double r66733 = r66732 * r66729;
        double r66734 = 27464.7644705;
        double r66735 = r66733 + r66734;
        double r66736 = r66735 * r66729;
        double r66737 = 230661.510616;
        double r66738 = r66736 + r66737;
        double r66739 = r66738 * r66729;
        double r66740 = t;
        double r66741 = r66739 + r66740;
        double r66742 = a;
        double r66743 = r66729 + r66742;
        double r66744 = r66743 * r66729;
        double r66745 = b;
        double r66746 = r66744 + r66745;
        double r66747 = r66746 * r66729;
        double r66748 = c;
        double r66749 = r66747 + r66748;
        double r66750 = r66749 * r66729;
        double r66751 = i;
        double r66752 = r66750 + r66751;
        double r66753 = r66741 / r66752;
        return r66753;
}

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

Bits error versus c

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.0

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

  2. Final simplification29.0

    \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

Reproduce

herbie shell --seed 2019305 +o rules:numerics
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  :precision binary64
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.764470499998) y) 230661.510616000014) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))