Average Error: 2.0 → 0.3
Time: 40.3s
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 r30540895 = x;
        double r30540896 = y;
        double r30540897 = z;
        double r30540898 = r30540896 - r30540897;
        double r30540899 = t;
        double r30540900 = r30540899 - r30540897;
        double r30540901 = 1.0;
        double r30540902 = r30540900 + r30540901;
        double r30540903 = a;
        double r30540904 = r30540902 / r30540903;
        double r30540905 = r30540898 / r30540904;
        double r30540906 = r30540895 - r30540905;
        return r30540906;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r30540907 = x;
        double r30540908 = a;
        double r30540909 = y;
        double r30540910 = z;
        double r30540911 = r30540909 - r30540910;
        double r30540912 = t;
        double r30540913 = r30540912 - r30540910;
        double r30540914 = 1.0;
        double r30540915 = r30540913 + r30540914;
        double r30540916 = r30540911 / r30540915;
        double r30540917 = r30540908 * r30540916;
        double r30540918 = r30540907 - r30540917;
        return r30540918;
}

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

Original2.0
Target0.3
Herbie0.3
\[x - \frac{y - z}{\left(t - z\right) + 1.0} \cdot a\]

Derivation

  1. Initial program 2.0

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

  3. Applied associate-/r/0.3

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

  4. Final simplification0.3

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

Reproduce

herbie shell --seed 2019165 
(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))))