Average Error: 1.9 → 1.9
Time: 37.5s
Precision: 64
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}\]
↓
\[\frac{x \cdot e^{\left(\log a \cdot \left(t - 1\right) + \log z \cdot y\right) - b}}{y}\]
\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1\right) \cdot \log a\right) - b}}{y}
↓
\frac{x \cdot e^{\left(\log a \cdot \left(t - 1\right) + \log z \cdot y\right) - b}}{y}
double f(double x, double y, double z, double t, double a, double b) {
        double r71579 = x;
        double r71580 = y;
        double r71581 = z;
        double r71582 = log(r71581);
        double r71583 = r71580 * r71582;
        double r71584 = t;
        double r71585 = 1.0;
        double r71586 = r71584 - r71585;
        double r71587 = a;
        double r71588 = log(r71587);
        double r71589 = r71586 * r71588;
        double r71590 = r71583 + r71589;
        double r71591 = b;
        double r71592 = r71590 - r71591;
        double r71593 = exp(r71592);
        double r71594 = r71579 * r71593;
        double r71595 = r71594 / r71580;
        return r71595;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r71596 = x;
        double r71597 = a;
        double r71598 = log(r71597);
        double r71599 = t;
        double r71600 = 1.0;
        double r71601 = r71599 - r71600;
        double r71602 = r71598 * r71601;
        double r71603 = z;
        double r71604 = log(r71603);
        double r71605 = y;
        double r71606 = r71604 * r71605;
        double r71607 = r71602 + r71606;
        double r71608 = b;
        double r71609 = r71607 - r71608;
        double r71610 = exp(r71609);
        double r71611 = r71596 * r71610;
        double r71612 = r71611 / r71605;
        return r71612;
}

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

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2"
  (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))