Average Error: 28.8 → 29.0
Time: 32.7s
Precision: 64
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
↓
\[\frac{1}{\frac{1}{t + y \cdot \left(\left(\left(y \cdot x + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right)} \cdot \left(i + y \cdot \left(\left(b + \left(y + a\right) \cdot y\right) \cdot y + c\right)\right)}\]
\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}
↓
\frac{1}{\frac{1}{t + y \cdot \left(\left(\left(y \cdot x + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right)} \cdot \left(i + y \cdot \left(\left(b + \left(y + a\right) \cdot y\right) \cdot y + c\right)\right)}
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1368193 = x;
        double r1368194 = y;
        double r1368195 = r1368193 * r1368194;
        double r1368196 = z;
        double r1368197 = r1368195 + r1368196;
        double r1368198 = r1368197 * r1368194;
        double r1368199 = 27464.7644705;
        double r1368200 = r1368198 + r1368199;
        double r1368201 = r1368200 * r1368194;
        double r1368202 = 230661.510616;
        double r1368203 = r1368201 + r1368202;
        double r1368204 = r1368203 * r1368194;
        double r1368205 = t;
        double r1368206 = r1368204 + r1368205;
        double r1368207 = a;
        double r1368208 = r1368194 + r1368207;
        double r1368209 = r1368208 * r1368194;
        double r1368210 = b;
        double r1368211 = r1368209 + r1368210;
        double r1368212 = r1368211 * r1368194;
        double r1368213 = c;
        double r1368214 = r1368212 + r1368213;
        double r1368215 = r1368214 * r1368194;
        double r1368216 = i;
        double r1368217 = r1368215 + r1368216;
        double r1368218 = r1368206 / r1368217;
        return r1368218;
}
↓
double f(double x, double y, double z, double t, double a, double b, double c, double i) {
        double r1368219 = 1.0;
        double r1368220 = t;
        double r1368221 = y;
        double r1368222 = x;
        double r1368223 = r1368221 * r1368222;
        double r1368224 = z;
        double r1368225 = r1368223 + r1368224;
        double r1368226 = r1368225 * r1368221;
        double r1368227 = 27464.7644705;
        double r1368228 = r1368226 + r1368227;
        double r1368229 = r1368228 * r1368221;
        double r1368230 = 230661.510616;
        double r1368231 = r1368229 + r1368230;
        double r1368232 = r1368221 * r1368231;
        double r1368233 = r1368220 + r1368232;
        double r1368234 = r1368219 / r1368233;
        double r1368235 = i;
        double r1368236 = b;
        double r1368237 = a;
        double r1368238 = r1368221 + r1368237;
        double r1368239 = r1368238 * r1368221;
        double r1368240 = r1368236 + r1368239;
        double r1368241 = r1368240 * r1368221;
        double r1368242 = c;
        double r1368243 = r1368241 + r1368242;
        double r1368244 = r1368221 * r1368243;
        double r1368245 = r1368235 + r1368244;
        double r1368246 = r1368234 * r1368245;
        double r1368247 = r1368219 / r1368246;
        return r1368247;
}

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 clear-num29.0

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

  5. Applied div-inv29.0

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

  6. Final simplification29.0

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

Reproduce

herbie shell --seed 2019152 
(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)))