Average Error: 0.2 → 0.0
Time: 2.4s
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 r306777 = 1.0;
        double r306778 = 4.0;
        double r306779 = x;
        double r306780 = y;
        double r306781 = 0.75;
        double r306782 = r306780 * r306781;
        double r306783 = r306779 + r306782;
        double r306784 = z;
        double r306785 = r306783 - r306784;
        double r306786 = r306778 * r306785;
        double r306787 = r306786 / r306780;
        double r306788 = r306777 + r306787;
        return r306788;
}
↓
double f(double x, double y, double z) {
        double r306789 = 1.0;
        double r306790 = 4.0;
        double r306791 = 0.75;
        double r306792 = x;
        double r306793 = z;
        double r306794 = r306792 - r306793;
        double r306795 = y;
        double r306796 = r306794 / r306795;
        double r306797 = r306791 + r306796;
        double r306798 = r306790 * r306797;
        double r306799 = r306789 + r306798;
        return r306799;
}

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 2020089 
(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)))