Average Error: 1.9 → 0.2
Time: 4.8s
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 r592312 = x;
        double r592313 = y;
        double r592314 = z;
        double r592315 = r592313 - r592314;
        double r592316 = t;
        double r592317 = r592316 - r592314;
        double r592318 = 1.0;
        double r592319 = r592317 + r592318;
        double r592320 = a;
        double r592321 = r592319 / r592320;
        double r592322 = r592315 / r592321;
        double r592323 = r592312 - r592322;
        return r592323;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r592324 = x;
        double r592325 = y;
        double r592326 = z;
        double r592327 = r592325 - r592326;
        double r592328 = t;
        double r592329 = r592328 - r592326;
        double r592330 = 1.0;
        double r592331 = r592329 + r592330;
        double r592332 = r592327 / r592331;
        double r592333 = a;
        double r592334 = r592332 * r592333;
        double r592335 = r592324 - r592334;
        return r592335;
}

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

Original1.9
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 1.9

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  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 2020062 +o rules:numerics
(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))))