Average Error: 2.2 → 0.2
Time: 17.0s
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 r39606233 = x;
        double r39606234 = y;
        double r39606235 = z;
        double r39606236 = r39606234 - r39606235;
        double r39606237 = t;
        double r39606238 = r39606237 - r39606235;
        double r39606239 = 1.0;
        double r39606240 = r39606238 + r39606239;
        double r39606241 = a;
        double r39606242 = r39606240 / r39606241;
        double r39606243 = r39606236 / r39606242;
        double r39606244 = r39606233 - r39606243;
        return r39606244;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r39606245 = x;
        double r39606246 = a;
        double r39606247 = y;
        double r39606248 = z;
        double r39606249 = r39606247 - r39606248;
        double r39606250 = t;
        double r39606251 = r39606250 - r39606248;
        double r39606252 = 1.0;
        double r39606253 = r39606251 + r39606252;
        double r39606254 = r39606249 / r39606253;
        double r39606255 = r39606246 * r39606254;
        double r39606256 = r39606245 - r39606255;
        return r39606256;
}

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

Original2.2
Target0.2
Herbie0.2
\[x - \frac{y - z}{\left(t - z\right) + 1} \cdot a\]

Derivation

  1. Initial program 2.2

    \[x - \frac{y - z}{\frac{\left(t - z\right) + 1}{a}}\]
  2. Using strategy rm

  3. Applied associate-/r/0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019171 
(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))))