Average Error: 2.1 → 2.1
Time: 16.9s
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 r80735 = x;
        double r80736 = y;
        double r80737 = z;
        double r80738 = log(r80737);
        double r80739 = r80736 * r80738;
        double r80740 = t;
        double r80741 = 1.0;
        double r80742 = r80740 - r80741;
        double r80743 = a;
        double r80744 = log(r80743);
        double r80745 = r80742 * r80744;
        double r80746 = r80739 + r80745;
        double r80747 = b;
        double r80748 = r80746 - r80747;
        double r80749 = exp(r80748);
        double r80750 = r80735 * r80749;
        double r80751 = r80750 / r80736;
        return r80751;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r80752 = x;
        double r80753 = y;
        double r80754 = z;
        double r80755 = log(r80754);
        double r80756 = r80753 * r80755;
        double r80757 = t;
        double r80758 = 1.0;
        double r80759 = r80757 - r80758;
        double r80760 = a;
        double r80761 = log(r80760);
        double r80762 = r80759 * r80761;
        double r80763 = r80756 + r80762;
        double r80764 = b;
        double r80765 = r80763 - r80764;
        double r80766 = exp(r80765);
        double r80767 = r80752 * r80766;
        double r80768 = r80767 / r80753;
        return r80768;
}

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 2020043 
(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))