Average Error: 2.0 → 2.0
Time: 4.0s
Precision: 64
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
↓
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
x + \left(y - x\right) \cdot \frac{z}{t}
↓
x + \left(y - x\right) \cdot \frac{z}{t}
double f(double x, double y, double z, double t) {
        double r778337 = x;
        double r778338 = y;
        double r778339 = r778338 - r778337;
        double r778340 = z;
        double r778341 = t;
        double r778342 = r778340 / r778341;
        double r778343 = r778339 * r778342;
        double r778344 = r778337 + r778343;
        return r778344;
}
↓
double f(double x, double y, double z, double t) {
        double r778345 = x;
        double r778346 = y;
        double r778347 = r778346 - r778345;
        double r778348 = z;
        double r778349 = t;
        double r778350 = r778348 / r778349;
        double r778351 = r778347 * r778350;
        double r778352 = r778345 + r778351;
        return r778352;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.0
Target2.2
Herbie2.0
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.887:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

  1. Initial program 2.0

    \[x + \left(y - x\right) \cdot \frac{z}{t}\]

  2. Final simplification2.0

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

Reproduce

herbie shell --seed 2020057 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4"
  :precision binary64

  :herbie-target
  (if (< (* (- y x) (/ z t)) -1013646692435.887) (+ x (/ (- y x) (/ t z))) (if (< (* (- y x) (/ z t)) -0.0) (+ x (/ (* (- y x) z) t)) (+ x (/ (- y x) (/ t z)))))

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