Average Error: 2.1 → 0.3
Time: 18.3s
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 r29693398 = x;
        double r29693399 = y;
        double r29693400 = z;
        double r29693401 = r29693399 - r29693400;
        double r29693402 = t;
        double r29693403 = r29693402 - r29693400;
        double r29693404 = 1.0;
        double r29693405 = r29693403 + r29693404;
        double r29693406 = a;
        double r29693407 = r29693405 / r29693406;
        double r29693408 = r29693401 / r29693407;
        double r29693409 = r29693398 - r29693408;
        return r29693409;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r29693410 = x;
        double r29693411 = a;
        double r29693412 = y;
        double r29693413 = z;
        double r29693414 = r29693412 - r29693413;
        double r29693415 = t;
        double r29693416 = r29693415 - r29693413;
        double r29693417 = 1.0;
        double r29693418 = r29693416 + r29693417;
        double r29693419 = r29693414 / r29693418;
        double r29693420 = r29693411 * r29693419;
        double r29693421 = r29693410 - r29693420;
        return r29693421;
}

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 2019172 
(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))))