Average Error: 0.2 → 0.2
Time: 14.6s
Precision: 64
\[\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[4.0 \cdot \left(\frac{1}{\frac{z}{x - y}} - 0.5\right)\]
\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
4.0 \cdot \left(\frac{1}{\frac{z}{x - y}} - 0.5\right)
double f(double x, double y, double z) {
        double r48560449 = 4.0;
        double r48560450 = x;
        double r48560451 = y;
        double r48560452 = r48560450 - r48560451;
        double r48560453 = z;
        double r48560454 = 0.5;
        double r48560455 = r48560453 * r48560454;
        double r48560456 = r48560452 - r48560455;
        double r48560457 = r48560449 * r48560456;
        double r48560458 = r48560457 / r48560453;
        return r48560458;
}
↓
double f(double x, double y, double z) {
        double r48560459 = 4.0;
        double r48560460 = 1.0;
        double r48560461 = z;
        double r48560462 = x;
        double r48560463 = y;
        double r48560464 = r48560462 - r48560463;
        double r48560465 = r48560461 / r48560464;
        double r48560466 = r48560460 / r48560465;
        double r48560467 = 0.5;
        double r48560468 = r48560466 - r48560467;
        double r48560469 = r48560459 * r48560468;
        return r48560469;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.2
\[4.0 \cdot \frac{x}{z} - \left(2.0 + 4.0 \cdot \frac{y}{z}\right)\]

Derivation

  1. Initial program 0.2

    \[\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(\frac{x - y}{z} - 0.5\right) \cdot 4.0}\]
  3. Using strategy rm

  4. Applied clear-num0.2

    \[\leadsto \left(\color{blue}{\frac{1}{\frac{z}{x - y}}} - 0.5\right) \cdot 4.0\]

  5. Final simplification0.2

    \[\leadsto 4.0 \cdot \left(\frac{1}{\frac{z}{x - y}} - 0.5\right)\]

Reproduce

herbie shell --seed 2019158 
(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))