Average Error: 0.1 → 0.1
Time: 12.7s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(x \cdot \log y - y\right) - z\]
\left(x \cdot \log y - z\right) - y
↓
\left(x \cdot \log y - y\right) - z
double f(double x, double y, double z) {
        double r27468 = x;
        double r27469 = y;
        double r27470 = log(r27469);
        double r27471 = r27468 * r27470;
        double r27472 = z;
        double r27473 = r27471 - r27472;
        double r27474 = r27473 - r27469;
        return r27474;
}
↓
double f(double x, double y, double z) {
        double r27475 = x;
        double r27476 = y;
        double r27477 = log(r27476);
        double r27478 = r27475 * r27477;
        double r27479 = r27478 - r27476;
        double r27480 = z;
        double r27481 = r27479 - r27480;
        return r27481;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(x \cdot \log y - z\right) - y\]

  2. Taylor expanded around 0 0.1

    \[\leadsto \color{blue}{x \cdot \log y - \left(z + y\right)}\]

  3. Simplified0.1

    \[\leadsto \color{blue}{\left(x \cdot \log y - y\right) - z}\]

  4. Final simplification0.1

    \[\leadsto \left(x \cdot \log y - y\right) - z\]

Reproduce

herbie shell --seed 2019298 
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2"
  :precision binary64
  (- (- (* x (log y)) z) y))