Average Error: 2.0 → 2.0
Time: 32.7s
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 r131742 = x;
        double r131743 = y;
        double r131744 = z;
        double r131745 = log(r131744);
        double r131746 = r131743 * r131745;
        double r131747 = t;
        double r131748 = 1.0;
        double r131749 = r131747 - r131748;
        double r131750 = a;
        double r131751 = log(r131750);
        double r131752 = r131749 * r131751;
        double r131753 = r131746 + r131752;
        double r131754 = b;
        double r131755 = r131753 - r131754;
        double r131756 = exp(r131755);
        double r131757 = r131742 * r131756;
        double r131758 = r131757 / r131743;
        return r131758;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r131759 = x;
        double r131760 = y;
        double r131761 = z;
        double r131762 = log(r131761);
        double r131763 = r131760 * r131762;
        double r131764 = t;
        double r131765 = 1.0;
        double r131766 = r131764 - r131765;
        double r131767 = a;
        double r131768 = log(r131767);
        double r131769 = r131766 * r131768;
        double r131770 = r131763 + r131769;
        double r131771 = b;
        double r131772 = r131770 - r131771;
        double r131773 = exp(r131772);
        double r131774 = r131759 * r131773;
        double r131775 = r131774 / r131760;
        return r131775;
}

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 2.0

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

  2. Final simplification2.0

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

Reproduce

herbie shell --seed 2020047 
(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))