Average Error: 10.7 → 1.2
Time: 15.4s
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 r24275005 = x;
        double r24275006 = y;
        double r24275007 = z;
        double r24275008 = t;
        double r24275009 = r24275007 - r24275008;
        double r24275010 = r24275006 * r24275009;
        double r24275011 = a;
        double r24275012 = r24275011 - r24275008;
        double r24275013 = r24275010 / r24275012;
        double r24275014 = r24275005 + r24275013;
        return r24275014;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r24275015 = x;
        double r24275016 = y;
        double r24275017 = a;
        double r24275018 = t;
        double r24275019 = r24275017 - r24275018;
        double r24275020 = z;
        double r24275021 = r24275020 - r24275018;
        double r24275022 = r24275019 / r24275021;
        double r24275023 = r24275016 / r24275022;
        double r24275024 = r24275015 + r24275023;
        return r24275024;
}

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

Original10.7
Target1.2
Herbie1.2
\[x + \frac{y}{\frac{a - t}{z - t}}\]

Derivation

  1. Initial program 10.7

    \[x + \frac{y \cdot \left(z - t\right)}{a - t}\]
  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 2019165 
(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))))