Average Error: 2.0 → 2.0
Time: 10.4s
Precision: 64
\[x + \left(y - x\right) \cdot \frac{z}{t}\]
↓
\[x - \frac{z}{t} \cdot \left(x - y\right)\]
x + \left(y - x\right) \cdot \frac{z}{t}
↓
x - \frac{z}{t} \cdot \left(x - y\right)
double f(double x, double y, double z, double t) {
        double r375153 = x;
        double r375154 = y;
        double r375155 = r375154 - r375153;
        double r375156 = z;
        double r375157 = t;
        double r375158 = r375156 / r375157;
        double r375159 = r375155 * r375158;
        double r375160 = r375153 + r375159;
        return r375160;
}
↓
double f(double x, double y, double z, double t) {
        double r375161 = x;
        double r375162 = z;
        double r375163 = t;
        double r375164 = r375162 / r375163;
        double r375165 = y;
        double r375166 = r375161 - r375165;
        double r375167 = r375164 * r375166;
        double r375168 = r375161 - r375167;
        return r375168;
}

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
Target2.1
Herbie2.0
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.88671875:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

  1. Initial program 2.0

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

  2. Simplified2.0

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

  3. Final simplification2.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z t)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:tickPosition from plot-0.2.3.4"

  :herbie-target
  (if (< (* (- y x) (/ z t)) -1013646692435.8867) (+ 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))))