Average Error: 28.0 → 28.0
Time: 34.1s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y}{i + \left(c + y \cdot \left(b + \left(y + a\right) \cdot y\right)\right) \cdot y}\]
\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}
↓
\frac{t + \left(y \cdot \left(y \cdot \left(z + x \cdot y\right) + 27464.7644705\right) + 230661.510616\right) \cdot y}{i + \left(c + y \cdot \left(b + \left(y + a\right) \cdot y\right)\right) \cdot y}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4688240 = x;
        double r4688241 = y;
        double r4688242 = r4688240 * r4688241;
        double r4688243 = z;
        double r4688244 = r4688242 + r4688243;
        double r4688245 = r4688244 * r4688241;
        double r4688246 = 27464.7644705;
        double r4688247 = r4688245 + r4688246;
        double r4688248 = r4688247 * r4688241;
        double r4688249 = 230661.510616;
        double r4688250 = r4688248 + r4688249;
        double r4688251 = r4688250 * r4688241;
        double r4688252 = t;
        double r4688253 = r4688251 + r4688252;
        double r4688254 = a;
        double r4688255 = r4688241 + r4688254;
        double r4688256 = r4688255 * r4688241;
        double r4688257 = b;
        double r4688258 = r4688256 + r4688257;
        double r4688259 = r4688258 * r4688241;
        double r4688260 = c;
        double r4688261 = r4688259 + r4688260;
        double r4688262 = r4688261 * r4688241;
        double r4688263 = i;
        double r4688264 = r4688262 + r4688263;
        double r4688265 = r4688253 / r4688264;
        return r4688265;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r4688266 = t;
        double r4688267 = y;
        double r4688268 = z;
        double r4688269 = x;
        double r4688270 = r4688269 * r4688267;
        double r4688271 = r4688268 + r4688270;
        double r4688272 = r4688267 * r4688271;
        double r4688273 = 27464.7644705;
        double r4688274 = r4688272 + r4688273;
        double r4688275 = r4688267 * r4688274;
        double r4688276 = 230661.510616;
        double r4688277 = r4688275 + r4688276;
        double r4688278 = r4688277 * r4688267;
        double r4688279 = r4688266 + r4688278;
        double r4688280 = i;
        double r4688281 = c;
        double r4688282 = b;
        double r4688283 = a;
        double r4688284 = r4688267 + r4688283;
        double r4688285 = r4688284 * r4688267;
        double r4688286 = r4688282 + r4688285;
        double r4688287 = r4688267 * r4688286;
        double r4688288 = r4688281 + r4688287;
        double r4688289 = r4688288 * r4688267;
        double r4688290 = r4688280 + r4688289;
        double r4688291 = r4688279 / r4688290;
        return r4688291;
}

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 28.0

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

  2. Final simplification28.0

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

Reproduce

herbie shell --seed 2019164 
(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)))