Average Error: 1.9 → 1.9
Time: 1.7m
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 r203416 = x;
        double r203417 = y;
        double r203418 = z;
        double r203419 = log(r203418);
        double r203420 = r203417 * r203419;
        double r203421 = t;
        double r203422 = 1.0;
        double r203423 = r203421 - r203422;
        double r203424 = a;
        double r203425 = log(r203424);
        double r203426 = r203423 * r203425;
        double r203427 = r203420 + r203426;
        double r203428 = b;
        double r203429 = r203427 - r203428;
        double r203430 = exp(r203429);
        double r203431 = r203416 * r203430;
        double r203432 = r203431 / r203417;
        return r203432;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r203433 = x;
        double r203434 = y;
        double r203435 = z;
        double r203436 = log(r203435);
        double r203437 = r203434 * r203436;
        double r203438 = t;
        double r203439 = 1.0;
        double r203440 = r203438 - r203439;
        double r203441 = a;
        double r203442 = log(r203441);
        double r203443 = r203440 * r203442;
        double r203444 = r203437 + r203443;
        double r203445 = b;
        double r203446 = r203444 - r203445;
        double r203447 = exp(r203446);
        double r203448 = r203433 * r203447;
        double r203449 = r203448 / r203434;
        return r203449;
}

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 2019304 +o rules:numerics
(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))