Average Error: 0.2 → 0.0
Time: 11.3s
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 r41264278 = 4.0;
        double r41264279 = x;
        double r41264280 = y;
        double r41264281 = r41264279 - r41264280;
        double r41264282 = z;
        double r41264283 = 0.5;
        double r41264284 = r41264282 * r41264283;
        double r41264285 = r41264281 - r41264284;
        double r41264286 = r41264278 * r41264285;
        double r41264287 = r41264286 / r41264282;
        return r41264287;
}
↓
double f(double x, double y, double z) {
        double r41264288 = 4.0;
        double r41264289 = x;
        double r41264290 = y;
        double r41264291 = r41264289 - r41264290;
        double r41264292 = z;
        double r41264293 = r41264291 / r41264292;
        double r41264294 = 0.5;
        double r41264295 = r41264293 - r41264294;
        double r41264296 = r41264288 * r41264295;
        return r41264296;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 
(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))