Average Error: 0.1 → 0.0
Time: 20.9s
Precision: 64
\[\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[4.0 \cdot \left(\frac{x - y}{z} - 0.5\right)\]
\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
4.0 \cdot \left(\frac{x - y}{z} - 0.5\right)
double f(double x, double y, double z) {
        double r39799830 = 4.0;
        double r39799831 = x;
        double r39799832 = y;
        double r39799833 = r39799831 - r39799832;
        double r39799834 = z;
        double r39799835 = 0.5;
        double r39799836 = r39799834 * r39799835;
        double r39799837 = r39799833 - r39799836;
        double r39799838 = r39799830 * r39799837;
        double r39799839 = r39799838 / r39799834;
        return r39799839;
}
↓
double f(double x, double y, double z) {
        double r39799840 = 4.0;
        double r39799841 = x;
        double r39799842 = y;
        double r39799843 = r39799841 - r39799842;
        double r39799844 = z;
        double r39799845 = r39799843 / r39799844;
        double r39799846 = 0.5;
        double r39799847 = r39799845 - r39799846;
        double r39799848 = r39799840 * r39799847;
        return r39799848;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.0
Herbie0.0
\[4.0 \cdot \frac{x}{z} - \left(2.0 + 4.0 \cdot \frac{y}{z}\right)\]

Derivation

  1. Initial program 0.1

    \[\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(\frac{x - y}{z} - 0.5\right) \cdot 4.0}\]

  3. Final simplification0.0

    \[\leadsto 4.0 \cdot \left(\frac{x - y}{z} - 0.5\right)\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B"

  :herbie-target
  (- (* 4.0 (/ x z)) (+ 2.0 (* 4.0 (/ y z))))

  (/ (* 4.0 (- (- x y) (* z 0.5))) z))