Average Error: 0.2 → 0.0
Time: 993.0ms
Precision: 64
\[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]
↓
\[1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)\]
1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}
↓
1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)
double f(double x, double y, double z) {
        double r350042 = 1.0;
        double r350043 = 4.0;
        double r350044 = x;
        double r350045 = y;
        double r350046 = 0.75;
        double r350047 = r350045 * r350046;
        double r350048 = r350044 + r350047;
        double r350049 = z;
        double r350050 = r350048 - r350049;
        double r350051 = r350043 * r350050;
        double r350052 = r350051 / r350045;
        double r350053 = r350042 + r350052;
        return r350053;
}
↓
double f(double x, double y, double z) {
        double r350054 = 1.0;
        double r350055 = 4.0;
        double r350056 = 0.75;
        double r350057 = x;
        double r350058 = z;
        double r350059 = r350057 - r350058;
        double r350060 = y;
        double r350061 = r350059 / r350060;
        double r350062 = r350056 + r350061;
        double r350063 = r350055 * r350062;
        double r350064 = r350054 + r350063;
        return r350064;
}

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 0.2

    \[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)}\]

  3. Final simplification0.0

    \[\leadsto 1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)\]

Reproduce

herbie shell --seed 2020065 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A"
  :precision binary64
  (+ 1 (/ (* 4 (- (+ x (* y 0.75)) z)) y)))