Average Error: 0.1 → 0.0
Time: 4.4s
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 r647222 = 4.0;
        double r647223 = x;
        double r647224 = y;
        double r647225 = r647223 - r647224;
        double r647226 = z;
        double r647227 = 0.5;
        double r647228 = r647226 * r647227;
        double r647229 = r647225 - r647228;
        double r647230 = r647222 * r647229;
        double r647231 = r647230 / r647226;
        return r647231;
}
↓
double f(double x, double y, double z) {
        double r647232 = x;
        double r647233 = y;
        double r647234 = r647232 - r647233;
        double r647235 = z;
        double r647236 = r647234 / r647235;
        double r647237 = 0.5;
        double r647238 = r647236 - r647237;
        double r647239 = 4.0;
        double r647240 = r647238 * r647239;
        return r647240;
}

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 2019195 
(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))