Average Error: 28.6 → 28.6
Time: 27.8s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\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 + 27464.764470499998\right) \cdot y + 230661.510616000014\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 r65211 = x;
        double r65212 = y;
        double r65213 = r65211 * r65212;
        double r65214 = z;
        double r65215 = r65213 + r65214;
        double r65216 = r65215 * r65212;
        double r65217 = 27464.7644705;
        double r65218 = r65216 + r65217;
        double r65219 = r65218 * r65212;
        double r65220 = 230661.510616;
        double r65221 = r65219 + r65220;
        double r65222 = r65221 * r65212;
        double r65223 = t;
        double r65224 = r65222 + r65223;
        double r65225 = a;
        double r65226 = r65212 + r65225;
        double r65227 = r65226 * r65212;
        double r65228 = b;
        double r65229 = r65227 + r65228;
        double r65230 = r65229 * r65212;
        double r65231 = c;
        double r65232 = r65230 + r65231;
        double r65233 = r65232 * r65212;
        double r65234 = i;
        double r65235 = r65233 + r65234;
        double r65236 = r65224 / r65235;
        return r65236;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r65237 = x;
        double r65238 = y;
        double r65239 = r65237 * r65238;
        double r65240 = z;
        double r65241 = r65239 + r65240;
        double r65242 = r65241 * r65238;
        double r65243 = 27464.7644705;
        double r65244 = r65242 + r65243;
        double r65245 = r65244 * r65238;
        double r65246 = 230661.510616;
        double r65247 = r65245 + r65246;
        double r65248 = r65247 * r65238;
        double r65249 = t;
        double r65250 = r65248 + r65249;
        double r65251 = a;
        double r65252 = r65238 + r65251;
        double r65253 = r65252 * r65238;
        double r65254 = b;
        double r65255 = r65253 + r65254;
        double r65256 = r65255 * r65238;
        double r65257 = c;
        double r65258 = r65256 + r65257;
        double r65259 = r65258 * r65238;
        double r65260 = i;
        double r65261 = r65259 + r65260;
        double r65262 = r65250 / r65261;
        return r65262;
}

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 28.6

    \[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

  2. Final simplification28.6

    \[\leadsto \frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.764470499998\right) \cdot y + 230661.510616000014\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

Reproduce

herbie shell --seed 2019195 
(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)))