Average Error: 1.8 → 1.8
Time: 19.3s
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 r34827401 = x;
        double r34827402 = y;
        double r34827403 = r34827402 - r34827401;
        double r34827404 = z;
        double r34827405 = t;
        double r34827406 = r34827404 / r34827405;
        double r34827407 = r34827403 * r34827406;
        double r34827408 = r34827401 + r34827407;
        return r34827408;
}
↓
double f(double x, double y, double z, double t) {
        double r34827409 = x;
        double r34827410 = y;
        double r34827411 = r34827410 - r34827409;
        double r34827412 = z;
        double r34827413 = t;
        double r34827414 = r34827412 / r34827413;
        double r34827415 = r34827411 * r34827414;
        double r34827416 = r34827409 + r34827415;
        return r34827416;
}

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

Derivation

  1. Initial program 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 2019171 
(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))))