Average Error: 1.9 → 1.9
Time: 34.3s
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 r51616 = x;
        double r51617 = y;
        double r51618 = z;
        double r51619 = log(r51618);
        double r51620 = r51617 * r51619;
        double r51621 = t;
        double r51622 = 1.0;
        double r51623 = r51621 - r51622;
        double r51624 = a;
        double r51625 = log(r51624);
        double r51626 = r51623 * r51625;
        double r51627 = r51620 + r51626;
        double r51628 = b;
        double r51629 = r51627 - r51628;
        double r51630 = exp(r51629);
        double r51631 = r51616 * r51630;
        double r51632 = r51631 / r51617;
        return r51632;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r51633 = x;
        double r51634 = y;
        double r51635 = z;
        double r51636 = log(r51635);
        double r51637 = r51634 * r51636;
        double r51638 = t;
        double r51639 = 1.0;
        double r51640 = r51638 - r51639;
        double r51641 = a;
        double r51642 = log(r51641);
        double r51643 = r51640 * r51642;
        double r51644 = r51637 + r51643;
        double r51645 = b;
        double r51646 = r51644 - r51645;
        double r51647 = exp(r51646);
        double r51648 = r51633 * r51647;
        double r51649 = r51648 / r51634;
        return r51649;
}

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 2019326 
(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))