Average Error: 28.8 → 29.0
Time: 35.6s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{1}{\frac{1}{t + y \cdot \left(\left(\left(y \cdot x + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right)} \cdot \left(i + y \cdot \left(\left(b + \left(y + a\right) \cdot y\right) \cdot y + c\right)\right)}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}
↓
\frac{1}{\frac{1}{t + y \cdot \left(\left(\left(y \cdot x + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right)} \cdot \left(i + y \cdot \left(\left(b + \left(y + a\right) \cdot y\right) \cdot y + c\right)\right)}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2286941 = x;
        double r2286942 = y;
        double r2286943 = r2286941 * r2286942;
        double r2286944 = z;
        double r2286945 = r2286943 + r2286944;
        double r2286946 = r2286945 * r2286942;
        double r2286947 = 27464.7644705;
        double r2286948 = r2286946 + r2286947;
        double r2286949 = r2286948 * r2286942;
        double r2286950 = 230661.510616;
        double r2286951 = r2286949 + r2286950;
        double r2286952 = r2286951 * r2286942;
        double r2286953 = t;
        double r2286954 = r2286952 + r2286953;
        double r2286955 = a;
        double r2286956 = r2286942 + r2286955;
        double r2286957 = r2286956 * r2286942;
        double r2286958 = b;
        double r2286959 = r2286957 + r2286958;
        double r2286960 = r2286959 * r2286942;
        double r2286961 = c;
        double r2286962 = r2286960 + r2286961;
        double r2286963 = r2286962 * r2286942;
        double r2286964 = i;
        double r2286965 = r2286963 + r2286964;
        double r2286966 = r2286954 / r2286965;
        return r2286966;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r2286967 = 1.0;
        double r2286968 = t;
        double r2286969 = y;
        double r2286970 = x;
        double r2286971 = r2286969 * r2286970;
        double r2286972 = z;
        double r2286973 = r2286971 + r2286972;
        double r2286974 = r2286973 * r2286969;
        double r2286975 = 27464.7644705;
        double r2286976 = r2286974 + r2286975;
        double r2286977 = r2286976 * r2286969;
        double r2286978 = 230661.510616;
        double r2286979 = r2286977 + r2286978;
        double r2286980 = r2286969 * r2286979;
        double r2286981 = r2286968 + r2286980;
        double r2286982 = r2286967 / r2286981;
        double r2286983 = i;
        double r2286984 = b;
        double r2286985 = a;
        double r2286986 = r2286969 + r2286985;
        double r2286987 = r2286986 * r2286969;
        double r2286988 = r2286984 + r2286987;
        double r2286989 = r2286988 * r2286969;
        double r2286990 = c;
        double r2286991 = r2286989 + r2286990;
        double r2286992 = r2286969 * r2286991;
        double r2286993 = r2286983 + r2286992;
        double r2286994 = r2286982 * r2286993;
        double r2286995 = r2286967 / r2286994;
        return r2286995;
}

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 28.8

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
  2. Using strategy rm

  3. Applied clear-num29.0

    \[\leadsto \color{blue}{\frac{1}{\frac{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}}}\]
  4. Using strategy rm

  5. Applied div-inv29.0

    \[\leadsto \frac{1}{\color{blue}{\left(\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i\right) \cdot \frac{1}{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}}}\]

  6. Final simplification29.0

    \[\leadsto \frac{1}{\frac{1}{t + y \cdot \left(\left(\left(y \cdot x + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right)} \cdot \left(i + y \cdot \left(\left(b + \left(y + a\right) \cdot y\right) \cdot y + c\right)\right)}\]

Reproduce

herbie shell --seed 2019152 
(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)))