Average Error: 1.8 → 1.8
Time: 20.5s
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 r29954854 = x;
        double r29954855 = y;
        double r29954856 = r29954855 - r29954854;
        double r29954857 = z;
        double r29954858 = t;
        double r29954859 = r29954857 / r29954858;
        double r29954860 = r29954856 * r29954859;
        double r29954861 = r29954854 + r29954860;
        return r29954861;
}
↓
double f(double x, double y, double z, double t) {
        double r29954862 = x;
        double r29954863 = y;
        double r29954864 = r29954863 - r29954862;
        double r29954865 = z;
        double r29954866 = t;
        double r29954867 = r29954865 / r29954866;
        double r29954868 = r29954864 * r29954867;
        double r29954869 = r29954862 + r29954868;
        return r29954869;
}

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

Original1.8
Target2.0
Herbie1.8
\[\begin{array}{l} \mathbf{if}\;\left(y - x\right) \cdot \frac{z}{t} \lt -1013646692435.8867:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \mathbf{elif}\;\left(y - x\right) \cdot \frac{z}{t} \lt -0.0:\\ \;\;\;\;x + \frac{\left(y - x\right) \cdot z}{t}\\ \mathbf{else}:\\ \;\;\;\;x + \frac{y - x}{\frac{t}{z}}\\ \end{array}\]

Derivation

  1. Initial program 1.8

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

  2. Final simplification1.8

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(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))))