Average Error: 28.3 → 28.3
Time: 30.6s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y\right) \cdot \frac{1}{i + y \cdot \left(\left(\left(a + y\right) \cdot y + b\right) \cdot y + c\right)}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\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}
↓
\left(t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\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 r4060993 = x;
        double r4060994 = y;
        double r4060995 = r4060993 * r4060994;
        double r4060996 = z;
        double r4060997 = r4060995 + r4060996;
        double r4060998 = r4060997 * r4060994;
        double r4060999 = 27464.7644705;
        double r4061000 = r4060998 + r4060999;
        double r4061001 = r4061000 * r4060994;
        double r4061002 = 230661.510616;
        double r4061003 = r4061001 + r4061002;
        double r4061004 = r4061003 * r4060994;
        double r4061005 = t;
        double r4061006 = r4061004 + r4061005;
        double r4061007 = a;
        double r4061008 = r4060994 + r4061007;
        double r4061009 = r4061008 * r4060994;
        double r4061010 = b;
        double r4061011 = r4061009 + r4061010;
        double r4061012 = r4061011 * r4060994;
        double r4061013 = c;
        double r4061014 = r4061012 + r4061013;
        double r4061015 = r4061014 * r4060994;
        double r4061016 = i;
        double r4061017 = r4061015 + r4061016;
        double r4061018 = r4061006 / r4061017;
        return r4061018;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4061019 = t;
        double r4061020 = y;
        double r4061021 = z;
        double r4061022 = x;
        double r4061023 = r4061022 * r4061020;
        double r4061024 = r4061021 + r4061023;
        double r4061025 = r4061020 * r4061024;
        double r4061026 = 27464.7644705;
        double r4061027 = r4061025 + r4061026;
        double r4061028 = r4061020 * r4061027;
        double r4061029 = 230661.510616;
        double r4061030 = r4061028 + r4061029;
        double r4061031 = r4061030 * r4061020;
        double r4061032 = r4061019 + r4061031;
        double r4061033 = 1.0;
        double r4061034 = i;
        double r4061035 = a;
        double r4061036 = r4061035 + r4061020;
        double r4061037 = r4061036 * r4061020;
        double r4061038 = b;
        double r4061039 = r4061037 + r4061038;
        double r4061040 = r4061039 * r4061020;
        double r4061041 = c;
        double r4061042 = r4061040 + r4061041;
        double r4061043 = r4061020 * r4061042;
        double r4061044 = r4061034 + r4061043;
        double r4061045 = r4061033 / r4061044;
        double r4061046 = r4061032 * r4061045;
        return r4061046;
}

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 28.3

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

  3. Applied div-inv28.3

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

  4. Final simplification28.3

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

Reproduce

herbie shell --seed 2019162 
(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)))