Average Error: 2.1 → 2.1
Time: 30.5s
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 r62978 = x;
        double r62979 = y;
        double r62980 = z;
        double r62981 = log(r62980);
        double r62982 = r62979 * r62981;
        double r62983 = t;
        double r62984 = 1.0;
        double r62985 = r62983 - r62984;
        double r62986 = a;
        double r62987 = log(r62986);
        double r62988 = r62985 * r62987;
        double r62989 = r62982 + r62988;
        double r62990 = b;
        double r62991 = r62989 - r62990;
        double r62992 = exp(r62991);
        double r62993 = r62978 * r62992;
        double r62994 = r62993 / r62979;
        return r62994;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r62995 = x;
        double r62996 = y;
        double r62997 = z;
        double r62998 = log(r62997);
        double r62999 = r62996 * r62998;
        double r63000 = t;
        double r63001 = 1.0;
        double r63002 = r63000 - r63001;
        double r63003 = a;
        double r63004 = log(r63003);
        double r63005 = r63002 * r63004;
        double r63006 = r62999 + r63005;
        double r63007 = b;
        double r63008 = r63006 - r63007;
        double r63009 = exp(r63008);
        double r63010 = r62995 * r63009;
        double r63011 = r63010 / r62996;
        return r63011;
}

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 2.1

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

  2. Final simplification2.1

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

Reproduce

herbie shell --seed 2019347 
(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))