Average Error: 1.9 → 0.3
Time: 25.8s
Precision: 64
\[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
↓
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]
x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}
↓
x - \frac{y - z}{\left(t - z\right) + 1} \cdot a
double f(double x, double y, double z, double t, double a) {
        double r489237 = x;
        double r489238 = y;
        double r489239 = z;
        double r489240 = r489238 - r489239;
        double r489241 = t;
        double r489242 = r489241 - r489239;
        double r489243 = 1.0;
        double r489244 = r489242 + r489243;
        double r489245 = a;
        double r489246 = r489244 / r489245;
        double r489247 = r489240 / r489246;
        double r489248 = r489237 - r489247;
        return r489248;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r489249 = x;
        double r489250 = y;
        double r489251 = z;
        double r489252 = r489250 - r489251;
        double r489253 = t;
        double r489254 = r489253 - r489251;
        double r489255 = 1.0;
        double r489256 = r489254 + r489255;
        double r489257 = r489252 / r489256;
        double r489258 = a;
        double r489259 = r489257 * r489258;
        double r489260 = r489249 - r489259;
        return r489260;
}

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

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

Reproduce

herbie shell --seed 2019199 
(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))))