Average Error: 2.1 → 0.2
Time: 17.2s
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 r450291 = x;
        double r450292 = y;
        double r450293 = z;
        double r450294 = r450292 - r450293;
        double r450295 = t;
        double r450296 = r450295 - r450293;
        double r450297 = 1.0;
        double r450298 = r450296 + r450297;
        double r450299 = a;
        double r450300 = r450298 / r450299;
        double r450301 = r450294 / r450300;
        double r450302 = r450291 - r450301;
        return r450302;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r450303 = x;
        double r450304 = a;
        double r450305 = y;
        double r450306 = z;
        double r450307 = r450305 - r450306;
        double r450308 = t;
        double r450309 = r450308 - r450306;
        double r450310 = 1.0;
        double r450311 = r450309 + r450310;
        double r450312 = r450307 / r450311;
        double r450313 = r450304 * r450312;
        double r450314 = r450303 - r450313;
        return r450314;
}

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

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

Reproduce

herbie shell --seed 2019194 
(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))))