Average Error: 2.1 → 0.2
Time: 18.3s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{y - z}{\left(1 + t\right) - z} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{y - z}{\left(1 + t\right) - z} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r429282 = x;
        double r429283 = y;
        double r429284 = z;
        double r429285 = r429283 - r429284;
        double r429286 = t;
        double r429287 = r429286 - r429284;
        double r429288 = 1.0;
        double r429289 = r429287 + r429288;
        double r429290 = a;
        double r429291 = r429289 / r429290;
        double r429292 = r429285 / r429291;
        double r429293 = r429282 - r429292;
        return r429293;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r429294 = x;
        double r429295 = y;
        double r429296 = z;
        double r429297 = r429295 - r429296;
        double r429298 = 1.0;
        double r429299 = t;
        double r429300 = r429298 + r429299;
        double r429301 = r429300 - r429296;
        double r429302 = r429297 / r429301;
        double r429303 = a;
        double r429304 = r429302 * r429303;
        double r429305 = r429294 - r429304;
        return r429305;
}

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

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

Derivation

  1. Initial program 2.1

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  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. Simplified0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019305 
(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))))