Average Error: 1.9 → 1.9
Time: 43.3s
Precision: 64
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}\]
↓
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}\]
\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}
↓
\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}
double f(double x, double y, double z, double t, double a, double b) {
        double r77987 = x;
        double r77988 = y;
        double r77989 = z;
        double r77990 = log(r77989);
        double r77991 = r77988 * r77990;
        double r77992 = t;
        double r77993 = 1.0;
        double r77994 = r77992 - r77993;
        double r77995 = a;
        double r77996 = log(r77995);
        double r77997 = r77994 * r77996;
        double r77998 = r77991 + r77997;
        double r77999 = b;
        double r78000 = r77998 - r77999;
        double r78001 = exp(r78000);
        double r78002 = r77987 * r78001;
        double r78003 = r78002 / r77988;
        return r78003;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r78004 = x;
        double r78005 = y;
        double r78006 = z;
        double r78007 = log(r78006);
        double r78008 = r78005 * r78007;
        double r78009 = t;
        double r78010 = 1.0;
        double r78011 = r78009 - r78010;
        double r78012 = a;
        double r78013 = log(r78012);
        double r78014 = r78011 * r78013;
        double r78015 = r78008 + r78014;
        double r78016 = b;
        double r78017 = r78015 - r78016;
        double r78018 = exp(r78017);
        double r78019 = r78004 * r78018;
        double r78020 = r78019 / r78005;
        return r78020;
}

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

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.9

    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}\]

  2. Final simplification1.9

    \[\leadsto \frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}\]

Reproduce

herbie shell --seed 2019306 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2"
  :precision binary64
  (/ (* x (exp (- (+ (* y (log z)) (* (- t 1) (log a))) b))) y))