Average Error: 0.1 → 0.0
Time: 5.7s
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 r39454093 = 4.0;
        double r39454094 = x;
        double r39454095 = y;
        double r39454096 = r39454094 - r39454095;
        double r39454097 = z;
        double r39454098 = 0.5;
        double r39454099 = r39454097 * r39454098;
        double r39454100 = r39454096 - r39454099;
        double r39454101 = r39454093 * r39454100;
        double r39454102 = r39454101 / r39454097;
        return r39454102;
}
↓
double f(double x, double y, double z) {
        double r39454103 = 4.0;
        double r39454104 = x;
        double r39454105 = y;
        double r39454106 = r39454104 - r39454105;
        double r39454107 = z;
        double r39454108 = r39454106 / r39454107;
        double r39454109 = 0.5;
        double r39454110 = r39454108 - r39454109;
        double r39454111 = r39454103 * r39454110;
        return r39454111;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 
(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))