Average Error: 28.3 → 28.3
Time: 29.8s
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 r4613979 = x;
        double r4613980 = y;
        double r4613981 = r4613979 * r4613980;
        double r4613982 = z;
        double r4613983 = r4613981 + r4613982;
        double r4613984 = r4613983 * r4613980;
        double r4613985 = 27464.7644705;
        double r4613986 = r4613984 + r4613985;
        double r4613987 = r4613986 * r4613980;
        double r4613988 = 230661.510616;
        double r4613989 = r4613987 + r4613988;
        double r4613990 = r4613989 * r4613980;
        double r4613991 = t;
        double r4613992 = r4613990 + r4613991;
        double r4613993 = a;
        double r4613994 = r4613980 + r4613993;
        double r4613995 = r4613994 * r4613980;
        double r4613996 = b;
        double r4613997 = r4613995 + r4613996;
        double r4613998 = r4613997 * r4613980;
        double r4613999 = c;
        double r4614000 = r4613998 + r4613999;
        double r4614001 = r4614000 * r4613980;
        double r4614002 = i;
        double r4614003 = r4614001 + r4614002;
        double r4614004 = r4613992 / r4614003;
        return r4614004;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4614005 = t;
        double r4614006 = y;
        double r4614007 = z;
        double r4614008 = x;
        double r4614009 = r4614008 * r4614006;
        double r4614010 = r4614007 + r4614009;
        double r4614011 = r4614006 * r4614010;
        double r4614012 = 27464.7644705;
        double r4614013 = r4614011 + r4614012;
        double r4614014 = r4614006 * r4614013;
        double r4614015 = 230661.510616;
        double r4614016 = r4614014 + r4614015;
        double r4614017 = r4614016 * r4614006;
        double r4614018 = r4614005 + r4614017;
        double r4614019 = 1.0;
        double r4614020 = i;
        double r4614021 = a;
        double r4614022 = r4614021 + r4614006;
        double r4614023 = r4614022 * r4614006;
        double r4614024 = b;
        double r4614025 = r4614023 + r4614024;
        double r4614026 = r4614025 * r4614006;
        double r4614027 = c;
        double r4614028 = r4614026 + r4614027;
        double r4614029 = r4614006 * r4614028;
        double r4614030 = r4614020 + r4614029;
        double r4614031 = r4614019 / r4614030;
        double r4614032 = r4614018 * r4614031;
        return r4614032;
}

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)))