Average Error: 29.0 → 29.1
Time: 33.9s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644704999984242022037506103515625\right) + 230661.5106160000141244381666183471679688\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}\]
\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}
↓
\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644704999984242022037506103515625\right) + 230661.5106160000141244381666183471679688\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3884916 = x;
        double r3884917 = y;
        double r3884918 = r3884916 * r3884917;
        double r3884919 = z;
        double r3884920 = r3884918 + r3884919;
        double r3884921 = r3884920 * r3884917;
        double r3884922 = 27464.7644705;
        double r3884923 = r3884921 + r3884922;
        double r3884924 = r3884923 * r3884917;
        double r3884925 = 230661.510616;
        double r3884926 = r3884924 + r3884925;
        double r3884927 = r3884926 * r3884917;
        double r3884928 = t;
        double r3884929 = r3884927 + r3884928;
        double r3884930 = a;
        double r3884931 = r3884917 + r3884930;
        double r3884932 = r3884931 * r3884917;
        double r3884933 = b;
        double r3884934 = r3884932 + r3884933;
        double r3884935 = r3884934 * r3884917;
        double r3884936 = c;
        double r3884937 = r3884935 + r3884936;
        double r3884938 = r3884937 * r3884917;
        double r3884939 = i;
        double r3884940 = r3884938 + r3884939;
        double r3884941 = r3884929 / r3884940;
        return r3884941;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r3884942 = t;
        double r3884943 = y;
        double r3884944 = z;
        double r3884945 = x;
        double r3884946 = r3884945 * r3884943;
        double r3884947 = r3884944 + r3884946;
        double r3884948 = r3884943 * r3884947;
        double r3884949 = 27464.7644705;
        double r3884950 = r3884948 + r3884949;
        double r3884951 = r3884943 * r3884950;
        double r3884952 = 230661.510616;
        double r3884953 = r3884951 + r3884952;
        double r3884954 = r3884953 * r3884943;
        double r3884955 = r3884942 + r3884954;
        double r3884956 = 1.0;
        double r3884957 = i;
        double r3884958 = a;
        double r3884959 = r3884958 + r3884943;
        double r3884960 = r3884959 * r3884943;
        double r3884961 = b;
        double r3884962 = r3884960 + r3884961;
        double r3884963 = r3884962 * r3884943;
        double r3884964 = c;
        double r3884965 = r3884963 + r3884964;
        double r3884966 = r3884943 * r3884965;
        double r3884967 = r3884957 + r3884966;
        double r3884968 = r3884956 / r3884967;
        double r3884969 = r3884955 * r3884968;
        return r3884969;
}

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. Using strategy rm

  3. Applied div-inv29.1

    \[\leadsto \color{blue}{\left(\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644704999984242022037506103515625\right) \cdot y + 230661.5106160000141244381666183471679688\right) \cdot y + t\right) \cdot \frac{1}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}}\]

  4. Final simplification29.1

    \[\leadsto \left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644704999984242022037506103515625\right) + 230661.5106160000141244381666183471679688\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}\]

Reproduce

herbie shell --seed 2019169 
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))