Average Error: 0.1 → 0.0
Time: 6.2s
Precision: 64
\[\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[\left(\frac{x - y}{z} - 0.5\right) \cdot 4\]
\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
\left(\frac{x - y}{z} - 0.5\right) \cdot 4
double f(double x, double y, double z) {
        double r631653 = 4.0;
        double r631654 = x;
        double r631655 = y;
        double r631656 = r631654 - r631655;
        double r631657 = z;
        double r631658 = 0.5;
        double r631659 = r631657 * r631658;
        double r631660 = r631656 - r631659;
        double r631661 = r631653 * r631660;
        double r631662 = r631661 / r631657;
        return r631662;
}
↓
double f(double x, double y, double z) {
        double r631663 = x;
        double r631664 = y;
        double r631665 = r631663 - r631664;
        double r631666 = z;
        double r631667 = r631665 / r631666;
        double r631668 = 0.5;
        double r631669 = r631667 - r631668;
        double r631670 = 4.0;
        double r631671 = r631669 * r631670;
        return r631671;
}

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
\[4 \cdot \frac{x}{z} - \left(2 + 4 \cdot \frac{y}{z}\right)\]

Derivation

  1. Initial program 0.1

    \[\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{4 \cdot \left(\frac{x - y}{z} - \frac{0.5}{1}\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\frac{x - y}{z} - 0.5\right) \cdot 4\]

Reproduce

herbie shell --seed 2019194 
(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))