Average Error: 11.1 → 2.1
Time: 12.8s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[x \cdot \frac{y - z}{t - z}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
x \cdot \frac{y - z}{t - z}
double f(double x, double y, double z, double t) {
        double r28372087 = x;
        double r28372088 = y;
        double r28372089 = z;
        double r28372090 = r28372088 - r28372089;
        double r28372091 = r28372087 * r28372090;
        double r28372092 = t;
        double r28372093 = r28372092 - r28372089;
        double r28372094 = r28372091 / r28372093;
        return r28372094;
}
↓
double f(double x, double y, double z, double t) {
        double r28372095 = x;
        double r28372096 = y;
        double r28372097 = z;
        double r28372098 = r28372096 - r28372097;
        double r28372099 = t;
        double r28372100 = r28372099 - r28372097;
        double r28372101 = r28372098 / r28372100;
        double r28372102 = r28372095 * r28372101;
        return r28372102;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.1
Target2.1
Herbie2.1
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.1

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

  3. Applied *-un-lft-identity11.1

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

  4. Applied times-frac2.1

    \[\leadsto \color{blue}{\frac{x}{1} \cdot \frac{y - z}{t - z}}\]

  5. Simplified2.1

    \[\leadsto \color{blue}{x} \cdot \frac{y - z}{t - z}\]

  6. Final simplification2.1

    \[\leadsto x \cdot \frac{y - z}{t - z}\]

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"

  :herbie-target
  (/ x (/ (- t z) (- y z)))

  (/ (* x (- y z)) (- t z)))