Average Error: 1.8 → 0.2
Time: 11.8s
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 r29233292 = x;
        double r29233293 = y;
        double r29233294 = z;
        double r29233295 = r29233293 - r29233294;
        double r29233296 = t;
        double r29233297 = r29233296 - r29233294;
        double r29233298 = 1.0;
        double r29233299 = r29233297 + r29233298;
        double r29233300 = a;
        double r29233301 = r29233299 / r29233300;
        double r29233302 = r29233295 / r29233301;
        double r29233303 = r29233292 - r29233302;
        return r29233303;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r29233304 = x;
        double r29233305 = a;
        double r29233306 = y;
        double r29233307 = z;
        double r29233308 = r29233306 - r29233307;
        double r29233309 = t;
        double r29233310 = r29233309 - r29233307;
        double r29233311 = 1.0;
        double r29233312 = r29233310 + r29233311;
        double r29233313 = r29233308 / r29233312;
        double r29233314 = r29233305 * r29233313;
        double r29233315 = r29233304 - r29233314;
        return r29233315;
}

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))))