Average Error: 0.1 → 0.0
Time: 6.4s
Precision: 64
\[\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[\left(\frac{x - y}{z} - 0.5\right) \cdot 4\]
\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
\left(\frac{x - y}{z} - 0.5\right) \cdot 4
double f(double x, double y, double z) {
        double r678985 = 4.0;
        double r678986 = x;
        double r678987 = y;
        double r678988 = r678986 - r678987;
        double r678989 = z;
        double r678990 = 0.5;
        double r678991 = r678989 * r678990;
        double r678992 = r678988 - r678991;
        double r678993 = r678985 * r678992;
        double r678994 = r678993 / r678989;
        return r678994;
}
↓
double f(double x, double y, double z) {
        double r678995 = x;
        double r678996 = y;
        double r678997 = r678995 - r678996;
        double r678998 = z;
        double r678999 = r678997 / r678998;
        double r679000 = 0.5;
        double r679001 = r678999 - r679000;
        double r679002 = 4.0;
        double r679003 = r679001 * r679002;
        return r679003;
}

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

Target

Original0.1
Target0.0
Herbie0.0
\[4 \cdot \frac{x}{z} - \left(2 + 4 \cdot \frac{y}{z}\right)\]

Derivation

  1. Initial program 0.1

    \[\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{4 \cdot \left(\frac{x - y}{z} - \frac{0.5}{1}\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\frac{x - y}{z} - 0.5\right) \cdot 4\]

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B"

  :herbie-target
  (- (* 4.0 (/ x z)) (+ 2.0 (* 4.0 (/ y z))))

  (/ (* 4.0 (- (- x y) (* z 0.5))) z))