Average Error: 1.9 → 1.9
Time: 16.5s
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 r90565 = x;
        double r90566 = y;
        double r90567 = z;
        double r90568 = log(r90567);
        double r90569 = r90566 * r90568;
        double r90570 = t;
        double r90571 = 1.0;
        double r90572 = r90570 - r90571;
        double r90573 = a;
        double r90574 = log(r90573);
        double r90575 = r90572 * r90574;
        double r90576 = r90569 + r90575;
        double r90577 = b;
        double r90578 = r90576 - r90577;
        double r90579 = exp(r90578);
        double r90580 = r90565 * r90579;
        double r90581 = r90580 / r90566;
        return r90581;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r90582 = x;
        double r90583 = y;
        double r90584 = z;
        double r90585 = log(r90584);
        double r90586 = r90583 * r90585;
        double r90587 = t;
        double r90588 = 1.0;
        double r90589 = r90587 - r90588;
        double r90590 = a;
        double r90591 = log(r90590);
        double r90592 = r90589 * r90591;
        double r90593 = r90586 + r90592;
        double r90594 = b;
        double r90595 = r90593 - r90594;
        double r90596 = exp(r90595);
        double r90597 = r90582 * r90596;
        double r90598 = r90597 / r90583;
        return r90598;
}

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 2020046 
(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))