Average Error: 0.2 → 0.0
Time: 6.7s
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 r40141938 = 4.0;
        double r40141939 = x;
        double r40141940 = y;
        double r40141941 = r40141939 - r40141940;
        double r40141942 = z;
        double r40141943 = 0.5;
        double r40141944 = r40141942 * r40141943;
        double r40141945 = r40141941 - r40141944;
        double r40141946 = r40141938 * r40141945;
        double r40141947 = r40141946 / r40141942;
        return r40141947;
}
↓
double f(double x, double y, double z) {
        double r40141948 = 4.0;
        double r40141949 = x;
        double r40141950 = y;
        double r40141951 = r40141949 - r40141950;
        double r40141952 = z;
        double r40141953 = r40141951 / r40141952;
        double r40141954 = 0.5;
        double r40141955 = r40141953 - r40141954;
        double r40141956 = r40141948 * r40141955;
        return r40141956;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

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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 2019170 
(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))