Average Error: 0.1 → 0.0
Time: 11.6s
Precision: 64
\[\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}\]
↓
\[4.0 \cdot \left(\frac{x - y}{z} - 0.5\right)\]
\frac{4.0 \cdot \left(\left(x - y\right) - z \cdot 0.5\right)}{z}
↓
4.0 \cdot \left(\frac{x - y}{z} - 0.5\right)
double f(double x, double y, double z) {
        double r42457133 = 4.0;
        double r42457134 = x;
        double r42457135 = y;
        double r42457136 = r42457134 - r42457135;
        double r42457137 = z;
        double r42457138 = 0.5;
        double r42457139 = r42457137 * r42457138;
        double r42457140 = r42457136 - r42457139;
        double r42457141 = r42457133 * r42457140;
        double r42457142 = r42457141 / r42457137;
        return r42457142;
}
↓
double f(double x, double y, double z) {
        double r42457143 = 4.0;
        double r42457144 = x;
        double r42457145 = y;
        double r42457146 = r42457144 - r42457145;
        double r42457147 = z;
        double r42457148 = r42457146 / r42457147;
        double r42457149 = 0.5;
        double r42457150 = r42457148 - r42457149;
        double r42457151 = r42457143 * r42457150;
        return r42457151;
}

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
\[4.0 \cdot \frac{x}{z} - \left(2.0 + 4.0 \cdot \frac{y}{z}\right)\]

Derivation

  1. Initial program 0.1

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019164 
(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))