Average Error: 2.1 → 0.2
Time: 15.9s
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 r399218 = x;
        double r399219 = y;
        double r399220 = z;
        double r399221 = r399219 - r399220;
        double r399222 = t;
        double r399223 = r399222 - r399220;
        double r399224 = 1.0;
        double r399225 = r399223 + r399224;
        double r399226 = a;
        double r399227 = r399225 / r399226;
        double r399228 = r399221 / r399227;
        double r399229 = r399218 - r399228;
        return r399229;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r399230 = x;
        double r399231 = y;
        double r399232 = z;
        double r399233 = r399231 - r399232;
        double r399234 = t;
        double r399235 = r399234 - r399232;
        double r399236 = 1.0;
        double r399237 = r399235 + r399236;
        double r399238 = r399233 / r399237;
        double r399239 = a;
        double r399240 = r399238 * r399239;
        double r399241 = r399230 - r399240;
        return r399241;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019304 
(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))))