Average Error: 11.1 → 2.2
Time: 13.4s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[x \cdot \frac{y - z}{t - z}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
x \cdot \frac{y - z}{t - z}
double f(double x, double y, double z, double t) {
        double r26553356 = x;
        double r26553357 = y;
        double r26553358 = z;
        double r26553359 = r26553357 - r26553358;
        double r26553360 = r26553356 * r26553359;
        double r26553361 = t;
        double r26553362 = r26553361 - r26553358;
        double r26553363 = r26553360 / r26553362;
        return r26553363;
}
↓
double f(double x, double y, double z, double t) {
        double r26553364 = x;
        double r26553365 = y;
        double r26553366 = z;
        double r26553367 = r26553365 - r26553366;
        double r26553368 = t;
        double r26553369 = r26553368 - r26553366;
        double r26553370 = r26553367 / r26553369;
        double r26553371 = r26553364 * r26553370;
        return r26553371;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.1
Target2.1
Herbie2.2
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.1

    \[\frac{x \cdot \left(y - z\right)}{t - z}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity11.1

    \[\leadsto \frac{x \cdot \left(y - z\right)}{\color{blue}{1 \cdot \left(t - z\right)}}\]

  4. Applied times-frac2.2

    \[\leadsto \color{blue}{\frac{x}{1} \cdot \frac{y - z}{t - z}}\]

  5. Simplified2.2

    \[\leadsto \color{blue}{x} \cdot \frac{y - z}{t - z}\]

  6. Final simplification2.2

    \[\leadsto x \cdot \frac{y - z}{t - z}\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"

  :herbie-target
  (/ x (/ (- t z) (- y z)))

  (/ (* x (- y z)) (- t z)))