Average Error: 2.3 → 0.2
Time: 4.5s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{y - z}{\left(t - z\right) + 1} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r616359 = x;
        double r616360 = y;
        double r616361 = z;
        double r616362 = r616360 - r616361;
        double r616363 = t;
        double r616364 = r616363 - r616361;
        double r616365 = 1.0;
        double r616366 = r616364 + r616365;
        double r616367 = a;
        double r616368 = r616366 / r616367;
        double r616369 = r616362 / r616368;
        double r616370 = r616359 - r616369;
        return r616370;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r616371 = x;
        double r616372 = y;
        double r616373 = z;
        double r616374 = r616372 - r616373;
        double r616375 = t;
        double r616376 = r616375 - r616373;
        double r616377 = 1.0;
        double r616378 = r616376 + r616377;
        double r616379 = r616374 / r616378;
        double r616380 = a;
        double r616381 = r616379 * r616380;
        double r616382 = r616371 - r616381;
        return r616382;
}

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

Original2.3
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 2.3

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  2. Using strategy rm

  3. Applied associate-/r/0.2

    \[\leadsto x - \color{blue}{\frac{y - z}{\left(t - z\right) + 1} \cdot a}\]

  4. Final simplification0.2

    \[\leadsto x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Reproduce

herbie shell --seed 2020003 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (- x (* (/ (- y z) (+ (- t z) 1)) a))

  (- x (/ (- y z) (/ (+ (- t z) 1) a))))