Average Error: 2.2 → 0.2
Time: 21.9s
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 r33603318 = x;
        double r33603319 = y;
        double r33603320 = z;
        double r33603321 = r33603319 - r33603320;
        double r33603322 = t;
        double r33603323 = r33603322 - r33603320;
        double r33603324 = 1.0;
        double r33603325 = r33603323 + r33603324;
        double r33603326 = a;
        double r33603327 = r33603325 / r33603326;
        double r33603328 = r33603321 / r33603327;
        double r33603329 = r33603318 - r33603328;
        return r33603329;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r33603330 = x;
        double r33603331 = a;
        double r33603332 = y;
        double r33603333 = z;
        double r33603334 = r33603332 - r33603333;
        double r33603335 = t;
        double r33603336 = r33603335 - r33603333;
        double r33603337 = 1.0;
        double r33603338 = r33603336 + r33603337;
        double r33603339 = r33603334 / r33603338;
        double r33603340 = r33603331 * r33603339;
        double r33603341 = r33603330 - r33603340;
        return r33603341;
}

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

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

Derivation

  1. Initial program 2.2

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

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

Reproduce

herbie shell --seed 2019171 
(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))))