Average Error: 2.1 → 0.3
Time: 18.5s
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 r31482686 = x;
        double r31482687 = y;
        double r31482688 = z;
        double r31482689 = r31482687 - r31482688;
        double r31482690 = t;
        double r31482691 = r31482690 - r31482688;
        double r31482692 = 1.0;
        double r31482693 = r31482691 + r31482692;
        double r31482694 = a;
        double r31482695 = r31482693 / r31482694;
        double r31482696 = r31482689 / r31482695;
        double r31482697 = r31482686 - r31482696;
        return r31482697;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r31482698 = x;
        double r31482699 = a;
        double r31482700 = y;
        double r31482701 = z;
        double r31482702 = r31482700 - r31482701;
        double r31482703 = t;
        double r31482704 = r31482703 - r31482701;
        double r31482705 = 1.0;
        double r31482706 = r31482704 + r31482705;
        double r31482707 = r31482702 / r31482706;
        double r31482708 = r31482699 * r31482707;
        double r31482709 = r31482698 - r31482708;
        return r31482709;
}

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))))