Average Error: 1.9 → 0.3
Time: 16.8s
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 r27525990 = x;
        double r27525991 = y;
        double r27525992 = z;
        double r27525993 = r27525991 - r27525992;
        double r27525994 = t;
        double r27525995 = r27525994 - r27525992;
        double r27525996 = 1.0;
        double r27525997 = r27525995 + r27525996;
        double r27525998 = a;
        double r27525999 = r27525997 / r27525998;
        double r27526000 = r27525993 / r27525999;
        double r27526001 = r27525990 - r27526000;
        return r27526001;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r27526002 = x;
        double r27526003 = a;
        double r27526004 = y;
        double r27526005 = z;
        double r27526006 = r27526004 - r27526005;
        double r27526007 = t;
        double r27526008 = r27526007 - r27526005;
        double r27526009 = 1.0;
        double r27526010 = r27526008 + r27526009;
        double r27526011 = r27526006 / r27526010;
        double r27526012 = r27526003 * r27526011;
        double r27526013 = r27526002 - r27526012;
        return r27526013;
}

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

Original1.9
Target0.3
Herbie0.3
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 1.9

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  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 2019170 
(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))))