Average Error: 11.4 → 2.0
Time: 3.4s
Precision: 64
\[\frac{x \cdot \left(y - z\right)}{t - z}\]
↓
\[\frac{x}{\frac{t - z}{y - z}}\]
\frac{x \cdot \left(y - z\right)}{t - z}
↓
\frac{x}{\frac{t - z}{y - z}}
double f(double x, double y, double z, double t) {
        double r886432 = x;
        double r886433 = y;
        double r886434 = z;
        double r886435 = r886433 - r886434;
        double r886436 = r886432 * r886435;
        double r886437 = t;
        double r886438 = r886437 - r886434;
        double r886439 = r886436 / r886438;
        return r886439;
}
↓
double f(double x, double y, double z, double t) {
        double r886440 = x;
        double r886441 = t;
        double r886442 = z;
        double r886443 = r886441 - r886442;
        double r886444 = y;
        double r886445 = r886444 - r886442;
        double r886446 = r886443 / r886445;
        double r886447 = r886440 / r886446;
        return r886447;
}

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

Original11.4
Target2.0
Herbie2.0
\[\frac{x}{\frac{t - z}{y - z}}\]

Derivation

  1. Initial program 11.4

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

  3. Applied associate-/l*2.0

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

  4. Final simplification2.0

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

Reproduce

herbie shell --seed 2020034 +o rules:numerics
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderAreaSpots4D from Chart-1.5.3"
  :precision binary64

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

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