Average Error: 0.1 → 0.0
Time: 2.4s
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 r372145 = 1.0;
        double r372146 = 4.0;
        double r372147 = x;
        double r372148 = y;
        double r372149 = 0.25;
        double r372150 = r372148 * r372149;
        double r372151 = r372147 + r372150;
        double r372152 = z;
        double r372153 = r372151 - r372152;
        double r372154 = r372146 * r372153;
        double r372155 = r372154 / r372148;
        double r372156 = r372145 + r372155;
        return r372156;
}
↓
double f(double x, double y, double z) {
        double r372157 = 1.0;
        double r372158 = 4.0;
        double r372159 = 0.25;
        double r372160 = x;
        double r372161 = z;
        double r372162 = r372160 - r372161;
        double r372163 = y;
        double r372164 = r372162 / r372163;
        double r372165 = r372159 + r372164;
        double r372166 = r372158 * r372165;
        double r372167 = r372157 + r372166;
        return r372167;
}

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 2020046 
(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)))