Average Error: 1.8 → 0.2
Time: 12.8s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1.0}{a}}\]
↓
\[x - a \cdot \frac{y - z}{\left(t - z\right) + 1.0}\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1.0}{a}}
↓
x - a \cdot \frac{y - z}{\left(t - z\right) + 1.0}
double f(double x, double y, double z, double t, double a) {
        double r31301038 = x;
        double r31301039 = y;
        double r31301040 = z;
        double r31301041 = r31301039 - r31301040;
        double r31301042 = t;
        double r31301043 = r31301042 - r31301040;
        double r31301044 = 1.0;
        double r31301045 = r31301043 + r31301044;
        double r31301046 = a;
        double r31301047 = r31301045 / r31301046;
        double r31301048 = r31301041 / r31301047;
        double r31301049 = r31301038 - r31301048;
        return r31301049;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r31301050 = x;
        double r31301051 = a;
        double r31301052 = y;
        double r31301053 = z;
        double r31301054 = r31301052 - r31301053;
        double r31301055 = t;
        double r31301056 = r31301055 - r31301053;
        double r31301057 = 1.0;
        double r31301058 = r31301056 + r31301057;
        double r31301059 = r31301054 / r31301058;
        double r31301060 = r31301051 * r31301059;
        double r31301061 = r31301050 - r31301060;
        return r31301061;
}

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

Original1.8
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1.0} \cdot a\]

Derivation

  1. Initial program 1.8

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1.0}{a}}\]
  2. Using strategy rm

  3. Applied associate-/r/0.2

    \[\leadsto x - \color{blue}{\frac{y - z}{\left(t - z\right) + 1.0} \cdot a}\]

  4. Final simplification0.2

    \[\leadsto x - a \cdot \frac{y - z}{\left(t - z\right) + 1.0}\]

Reproduce

herbie shell --seed 2019162 
(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))))