Average Error: 2.1 → 0.3
Time: 19.3s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{1}{\frac{\left(1 + t\right) - z}{y - z}} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{1}{\frac{\left(1 + t\right) - z}{y - z}} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r466637 = x;
        double r466638 = y;
        double r466639 = z;
        double r466640 = r466638 - r466639;
        double r466641 = t;
        double r466642 = r466641 - r466639;
        double r466643 = 1.0;
        double r466644 = r466642 + r466643;
        double r466645 = a;
        double r466646 = r466644 / r466645;
        double r466647 = r466640 / r466646;
        double r466648 = r466637 - r466647;
        return r466648;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r466649 = x;
        double r466650 = 1.0;
        double r466651 = 1.0;
        double r466652 = t;
        double r466653 = r466651 + r466652;
        double r466654 = z;
        double r466655 = r466653 - r466654;
        double r466656 = y;
        double r466657 = r466656 - r466654;
        double r466658 = r466655 / r466657;
        double r466659 = r466650 / r466658;
        double r466660 = a;
        double r466661 = r466659 * r466660;
        double r466662 = r466649 - r466661;
        return r466662;
}

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. Simplified0.3

    \[\leadsto x - \color{blue}{\frac{y - z}{\left(1 + t\right) - z}} \cdot a\]
  5. Using strategy rm

  6. Applied clear-num0.3

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

  7. Final simplification0.3

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

Reproduce

herbie shell --seed 2019198 
(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))))