Average Error: 28.8 → 28.9
Time: 2.1m
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 r13201204 = x;
        double r13201205 = y;
        double r13201206 = r13201204 * r13201205;
        double r13201207 = z;
        double r13201208 = r13201206 + r13201207;
        double r13201209 = r13201208 * r13201205;
        double r13201210 = 27464.7644705;
        double r13201211 = r13201209 + r13201210;
        double r13201212 = r13201211 * r13201205;
        double r13201213 = 230661.510616;
        double r13201214 = r13201212 + r13201213;
        double r13201215 = r13201214 * r13201205;
        double r13201216 = t;
        double r13201217 = r13201215 + r13201216;
        double r13201218 = a;
        double r13201219 = r13201205 + r13201218;
        double r13201220 = r13201219 * r13201205;
        double r13201221 = b;
        double r13201222 = r13201220 + r13201221;
        double r13201223 = r13201222 * r13201205;
        double r13201224 = c;
        double r13201225 = r13201223 + r13201224;
        double r13201226 = r13201225 * r13201205;
        double r13201227 = i;
        double r13201228 = r13201226 + r13201227;
        double r13201229 = r13201217 / r13201228;
        return r13201229;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r13201230 = t;
        double r13201231 = y;
        double r13201232 = z;
        double r13201233 = x;
        double r13201234 = r13201233 * r13201231;
        double r13201235 = r13201232 + r13201234;
        double r13201236 = r13201231 * r13201235;
        double r13201237 = 27464.7644705;
        double r13201238 = r13201236 + r13201237;
        double r13201239 = r13201231 * r13201238;
        double r13201240 = 230661.510616;
        double r13201241 = r13201239 + r13201240;
        double r13201242 = r13201241 * r13201231;
        double r13201243 = r13201230 + r13201242;
        double r13201244 = 1.0;
        double r13201245 = i;
        double r13201246 = a;
        double r13201247 = r13201246 + r13201231;
        double r13201248 = r13201247 * r13201231;
        double r13201249 = b;
        double r13201250 = r13201248 + r13201249;
        double r13201251 = r13201250 * r13201231;
        double r13201252 = c;
        double r13201253 = r13201251 + r13201252;
        double r13201254 = r13201231 * r13201253;
        double r13201255 = r13201245 + r13201254;
        double r13201256 = r13201244 / r13201255;
        double r13201257 = r13201243 * r13201256;
        return r13201257;
}

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 div-inv28.9

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

  4. Final simplification28.9

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

Reproduce

herbie shell --seed 2019104 
(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)))