Average Error: 0.1 → 0.0
Time: 9.4s
Precision: 64
\[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}\]
↓
\[\left(0.25 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]
1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}
↓
\left(0.25 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0
double f(double x, double y, double z) {
        double r17213805 = 1.0;
        double r17213806 = 4.0;
        double r17213807 = x;
        double r17213808 = y;
        double r17213809 = 0.25;
        double r17213810 = r17213808 * r17213809;
        double r17213811 = r17213807 + r17213810;
        double r17213812 = z;
        double r17213813 = r17213811 - r17213812;
        double r17213814 = r17213806 * r17213813;
        double r17213815 = r17213814 / r17213808;
        double r17213816 = r17213805 + r17213815;
        return r17213816;
}
↓
double f(double x, double y, double z) {
        double r17213817 = 0.25;
        double r17213818 = z;
        double r17213819 = x;
        double r17213820 = r17213818 - r17213819;
        double r17213821 = y;
        double r17213822 = r17213820 / r17213821;
        double r17213823 = r17213817 - r17213822;
        double r17213824 = 4.0;
        double r17213825 = r17213823 * r17213824;
        double r17213826 = 1.0;
        double r17213827 = r17213825 + r17213826;
        return r17213827;
}

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

Derivation

  1. Initial program 0.1

    \[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{4.0 \cdot \left(0.25 - \frac{z - x}{y}\right) + 1.0}\]

  3. Final simplification0.0

    \[\leadsto \left(0.25 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C"
  (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y)))