Average Error: 28.9 → 28.9
Time: 26.5s
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 r59850 = x;
        double r59851 = y;
        double r59852 = r59850 * r59851;
        double r59853 = z;
        double r59854 = r59852 + r59853;
        double r59855 = r59854 * r59851;
        double r59856 = 27464.7644705;
        double r59857 = r59855 + r59856;
        double r59858 = r59857 * r59851;
        double r59859 = 230661.510616;
        double r59860 = r59858 + r59859;
        double r59861 = r59860 * r59851;
        double r59862 = t;
        double r59863 = r59861 + r59862;
        double r59864 = a;
        double r59865 = r59851 + r59864;
        double r59866 = r59865 * r59851;
        double r59867 = b;
        double r59868 = r59866 + r59867;
        double r59869 = r59868 * r59851;
        double r59870 = c;
        double r59871 = r59869 + r59870;
        double r59872 = r59871 * r59851;
        double r59873 = i;
        double r59874 = r59872 + r59873;
        double r59875 = r59863 / r59874;
        return r59875;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r59876 = x;
        double r59877 = y;
        double r59878 = r59876 * r59877;
        double r59879 = z;
        double r59880 = r59878 + r59879;
        double r59881 = r59880 * r59877;
        double r59882 = 27464.7644705;
        double r59883 = r59881 + r59882;
        double r59884 = r59883 * r59877;
        double r59885 = 230661.510616;
        double r59886 = r59884 + r59885;
        double r59887 = r59886 * r59877;
        double r59888 = t;
        double r59889 = r59887 + r59888;
        double r59890 = a;
        double r59891 = r59877 + r59890;
        double r59892 = r59891 * r59877;
        double r59893 = b;
        double r59894 = r59892 + r59893;
        double r59895 = r59894 * r59877;
        double r59896 = c;
        double r59897 = r59895 + r59896;
        double r59898 = r59897 * r59877;
        double r59899 = i;
        double r59900 = r59898 + r59899;
        double r59901 = r59889 / r59900;
        return r59901;
}

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 28.9

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

  2. Final simplification28.9

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

Reproduce

herbie shell --seed 2019298 
(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)))