Average Error: 0.2 → 0.0
Time: 9.7s
Precision: 64
\[\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[4 \cdot \left(\frac{x - y}{z} - 0.5\right)\]
\frac{4 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
4 \cdot \left(\frac{x - y}{z} - 0.5\right)
double f(double x, double y, double z) {
        double r862151 = 4.0;
        double r862152 = x;
        double r862153 = y;
        double r862154 = r862152 - r862153;
        double r862155 = z;
        double r862156 = 0.5;
        double r862157 = r862155 * r862156;
        double r862158 = r862154 - r862157;
        double r862159 = r862151 * r862158;
        double r862160 = r862159 / r862155;
        return r862160;
}
↓
double f(double x, double y, double z) {
        double r862161 = 4.0;
        double r862162 = x;
        double r862163 = y;
        double r862164 = r862162 - r862163;
        double r862165 = z;
        double r862166 = r862164 / r862165;
        double r862167 = 0.5;
        double r862168 = r862166 - r862167;
        double r862169 = r862161 * r862168;
        return r862169;
}

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

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

Derivation

  1. Initial program 0.2

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020042 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B"
  :precision binary64

  :herbie-target
  (- (* 4 (/ x z)) (+ 2 (* 4 (/ y z))))

  (/ (* 4 (- (- x y) (* z 0.5))) z))