Average Error: 10.0 → 1.1
Time: 18.3s
Precision: 64
\[x + \frac{y \cdot \left(z - t\right)}{z - a}\]
↓
\[x + \frac{y}{\frac{z - a}{z - t}}\]
x + \frac{y \cdot \left(z - t\right)}{z - a}
↓
x + \frac{y}{\frac{z - a}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r30382171 = x;
        double r30382172 = y;
        double r30382173 = z;
        double r30382174 = t;
        double r30382175 = r30382173 - r30382174;
        double r30382176 = r30382172 * r30382175;
        double r30382177 = a;
        double r30382178 = r30382173 - r30382177;
        double r30382179 = r30382176 / r30382178;
        double r30382180 = r30382171 + r30382179;
        return r30382180;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r30382181 = x;
        double r30382182 = y;
        double r30382183 = z;
        double r30382184 = a;
        double r30382185 = r30382183 - r30382184;
        double r30382186 = t;
        double r30382187 = r30382183 - r30382186;
        double r30382188 = r30382185 / r30382187;
        double r30382189 = r30382182 / r30382188;
        double r30382190 = r30382181 + r30382189;
        return r30382190;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original10.0
Target1.1
Herbie1.1
\[x + \frac{y}{\frac{z - a}{z - t}}\]

Derivation

  1. Initial program 10.0

    \[x + \frac{y \cdot \left(z - t\right)}{z - a}\]
  2. Using strategy rm

  3. Applied associate-/l*1.1

    \[\leadsto x + \color{blue}{\frac{y}{\frac{z - a}{z - t}}}\]

  4. Final simplification1.1

    \[\leadsto x + \frac{y}{\frac{z - a}{z - t}}\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTicks from plot-0.2.3.4, A"

  :herbie-target
  (+ x (/ y (/ (- z a) (- z t))))

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