Average Error: 2.1 → 0.3
Time: 15.6s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - a \cdot \frac{y - z}{\left(t - z\right) + 1}\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - a \cdot \frac{y - z}{\left(t - z\right) + 1}
double f(double x, double y, double z, double t, double a) {
        double r31517309 = x;
        double r31517310 = y;
        double r31517311 = z;
        double r31517312 = r31517310 - r31517311;
        double r31517313 = t;
        double r31517314 = r31517313 - r31517311;
        double r31517315 = 1.0;
        double r31517316 = r31517314 + r31517315;
        double r31517317 = a;
        double r31517318 = r31517316 / r31517317;
        double r31517319 = r31517312 / r31517318;
        double r31517320 = r31517309 - r31517319;
        return r31517320;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r31517321 = x;
        double r31517322 = a;
        double r31517323 = y;
        double r31517324 = z;
        double r31517325 = r31517323 - r31517324;
        double r31517326 = t;
        double r31517327 = r31517326 - r31517324;
        double r31517328 = 1.0;
        double r31517329 = r31517327 + r31517328;
        double r31517330 = r31517325 / r31517329;
        double r31517331 = r31517322 * r31517330;
        double r31517332 = r31517321 - r31517331;
        return r31517332;
}

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

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/0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2019192 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3"

  :herbie-target
  (- x (* (/ (- y z) (+ (- t z) 1.0)) a))

  (- x (/ (- y z) (/ (+ (- t z) 1.0) a))))