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 r24756784 = x;
        double r24756785 = y;
        double r24756786 = r24756785 - r24756784;
        double r24756787 = z;
        double r24756788 = t;
        double r24756789 = r24756787 / r24756788;
        double r24756790 = r24756786 * r24756789;
        double r24756791 = r24756784 + r24756790;
        return r24756791;
}
↓
double f(double x, double y, double z, double t) {
        double r24756792 = x;
        double r24756793 = y;
        double r24756794 = r24756793 - r24756792;
        double r24756795 = z;
        double r24756796 = t;
        double r24756797 = r24756795 / r24756796;
        double r24756798 = r24756794 * r24756797;
        double r24756799 = r24756792 + r24756798;
        return r24756799;
}

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))))