Average Error: 0.1 → 0.0
Time: 3.0s
Precision: 64
\[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}\]
↓
\[1 + 4 \cdot \left(0.25 + \frac{x - z}{y}\right)\]
1 + \frac{4 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}
↓
1 + 4 \cdot \left(0.25 + \frac{x - z}{y}\right)
double f(double x, double y, double z) {
        double r282547 = 1.0;
        double r282548 = 4.0;
        double r282549 = x;
        double r282550 = y;
        double r282551 = 0.25;
        double r282552 = r282550 * r282551;
        double r282553 = r282549 + r282552;
        double r282554 = z;
        double r282555 = r282553 - r282554;
        double r282556 = r282548 * r282555;
        double r282557 = r282556 / r282550;
        double r282558 = r282547 + r282557;
        return r282558;
}
↓
double f(double x, double y, double z) {
        double r282559 = 1.0;
        double r282560 = 4.0;
        double r282561 = 0.25;
        double r282562 = x;
        double r282563 = z;
        double r282564 = r282562 - r282563;
        double r282565 = y;
        double r282566 = r282564 / r282565;
        double r282567 = r282561 + r282566;
        double r282568 = r282560 * r282567;
        double r282569 = r282559 + r282568;
        return r282569;
}

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

    \[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.25\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{1 + 4 \cdot \left(0.25 + \frac{x - z}{y}\right)}\]

  3. Final simplification0.0

    \[\leadsto 1 + 4 \cdot \left(0.25 + \frac{x - z}{y}\right)\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, C"
  :precision binary64
  (+ 1 (/ (* 4 (- (+ x (* y 0.25)) z)) y)))