Average Error: 0.2 → 0.0
Time: 9.5s
Precision: 64
\[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]
↓
\[\left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]
1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}
↓
\left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0
double f(double x, double y, double z) {
        double r15843224 = 1.0;
        double r15843225 = 4.0;
        double r15843226 = x;
        double r15843227 = y;
        double r15843228 = 0.75;
        double r15843229 = r15843227 * r15843228;
        double r15843230 = r15843226 + r15843229;
        double r15843231 = z;
        double r15843232 = r15843230 - r15843231;
        double r15843233 = r15843225 * r15843232;
        double r15843234 = r15843233 / r15843227;
        double r15843235 = r15843224 + r15843234;
        return r15843235;
}
↓
double f(double x, double y, double z) {
        double r15843236 = 0.75;
        double r15843237 = z;
        double r15843238 = x;
        double r15843239 = r15843237 - r15843238;
        double r15843240 = y;
        double r15843241 = r15843239 / r15843240;
        double r15843242 = r15843236 - r15843241;
        double r15843243 = 4.0;
        double r15843244 = r15843242 * r15843243;
        double r15843245 = 1.0;
        double r15843246 = r15843244 + r15843245;
        return r15843246;
}

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 0.2

    \[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{4.0 \cdot \left(0.75 - \frac{z - x}{y}\right) + 1.0}\]

  3. Final simplification0.0

    \[\leadsto \left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A"
  (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))