Average Error: 29.6 → 29.6
Time: 30.0s
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 r61824 = x;
        double r61825 = y;
        double r61826 = r61824 * r61825;
        double r61827 = z;
        double r61828 = r61826 + r61827;
        double r61829 = r61828 * r61825;
        double r61830 = 27464.7644705;
        double r61831 = r61829 + r61830;
        double r61832 = r61831 * r61825;
        double r61833 = 230661.510616;
        double r61834 = r61832 + r61833;
        double r61835 = r61834 * r61825;
        double r61836 = t;
        double r61837 = r61835 + r61836;
        double r61838 = a;
        double r61839 = r61825 + r61838;
        double r61840 = r61839 * r61825;
        double r61841 = b;
        double r61842 = r61840 + r61841;
        double r61843 = r61842 * r61825;
        double r61844 = c;
        double r61845 = r61843 + r61844;
        double r61846 = r61845 * r61825;
        double r61847 = i;
        double r61848 = r61846 + r61847;
        double r61849 = r61837 / r61848;
        return r61849;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r61850 = x;
        double r61851 = y;
        double r61852 = r61850 * r61851;
        double r61853 = z;
        double r61854 = r61852 + r61853;
        double r61855 = r61854 * r61851;
        double r61856 = 27464.7644705;
        double r61857 = r61855 + r61856;
        double r61858 = r61857 * r61851;
        double r61859 = 230661.510616;
        double r61860 = r61858 + r61859;
        double r61861 = r61860 * r61851;
        double r61862 = t;
        double r61863 = r61861 + r61862;
        double r61864 = a;
        double r61865 = r61851 + r61864;
        double r61866 = r61865 * r61851;
        double r61867 = b;
        double r61868 = r61866 + r61867;
        double r61869 = r61868 * r61851;
        double r61870 = c;
        double r61871 = r61869 + r61870;
        double r61872 = r61871 * r61851;
        double r61873 = i;
        double r61874 = r61872 + r61873;
        double r61875 = r61863 / r61874;
        return r61875;
}

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 29.6

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

  2. Final simplification29.6

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

Reproduce

herbie shell --seed 2019304 
(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)))