Average Error: 0.1 → 0.0
Time: 9.6s
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 r11929392 = 1.0;
        double r11929393 = 4.0;
        double r11929394 = x;
        double r11929395 = y;
        double r11929396 = 0.25;
        double r11929397 = r11929395 * r11929396;
        double r11929398 = r11929394 + r11929397;
        double r11929399 = z;
        double r11929400 = r11929398 - r11929399;
        double r11929401 = r11929393 * r11929400;
        double r11929402 = r11929401 / r11929395;
        double r11929403 = r11929392 + r11929402;
        return r11929403;
}
↓
double f(double x, double y, double z) {
        double r11929404 = 0.25;
        double r11929405 = z;
        double r11929406 = x;
        double r11929407 = r11929405 - r11929406;
        double r11929408 = y;
        double r11929409 = r11929407 / r11929408;
        double r11929410 = r11929404 - r11929409;
        double r11929411 = 4.0;
        double r11929412 = r11929410 * r11929411;
        double r11929413 = 1.0;
        double r11929414 = r11929412 + r11929413;
        return r11929414;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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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)))