Average Error: 0.1 → 0.0
Time: 1.5s
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 r271794 = 1.0;
        double r271795 = 4.0;
        double r271796 = x;
        double r271797 = y;
        double r271798 = 0.75;
        double r271799 = r271797 * r271798;
        double r271800 = r271796 + r271799;
        double r271801 = z;
        double r271802 = r271800 - r271801;
        double r271803 = r271795 * r271802;
        double r271804 = r271803 / r271797;
        double r271805 = r271794 + r271804;
        return r271805;
}
↓
double f(double x, double y, double z) {
        double r271806 = 1.0;
        double r271807 = 4.0;
        double r271808 = 0.75;
        double r271809 = x;
        double r271810 = z;
        double r271811 = r271809 - r271810;
        double r271812 = y;
        double r271813 = r271811 / r271812;
        double r271814 = r271808 + r271813;
        double r271815 = r271807 * r271814;
        double r271816 = r271806 + r271815;
        return r271816;
}

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

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

  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 2019353 
(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)))