Average Error: 10.8 → 1.2
Time: 19.2s
Precision: 64
\[x + \frac{y \cdot \left(z - t\right)}{a - t}\]
↓
\[x + \frac{y}{\frac{a - t}{z - t}}\]
x + \frac{y \cdot \left(z - t\right)}{a - t}
↓
x + \frac{y}{\frac{a - t}{z - t}}
double f(double x, double y, double z, double t, double a) {
        double r26443075 = x;
        double r26443076 = y;
        double r26443077 = z;
        double r26443078 = t;
        double r26443079 = r26443077 - r26443078;
        double r26443080 = r26443076 * r26443079;
        double r26443081 = a;
        double r26443082 = r26443081 - r26443078;
        double r26443083 = r26443080 / r26443082;
        double r26443084 = r26443075 + r26443083;
        return r26443084;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r26443085 = x;
        double r26443086 = y;
        double r26443087 = a;
        double r26443088 = t;
        double r26443089 = r26443087 - r26443088;
        double r26443090 = z;
        double r26443091 = r26443090 - r26443088;
        double r26443092 = r26443089 / r26443091;
        double r26443093 = r26443086 / r26443092;
        double r26443094 = r26443085 + r26443093;
        return r26443094;
}

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

Original10.8
Target1.2
Herbie1.2
\[x + \frac{y}{\frac{a - t}{z - t}}\]

Derivation

  1. Initial program 10.8

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

  3. Applied associate-/l*1.2

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

  4. Final simplification1.2

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTicks from plot-0.2.3.4, B"

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

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