Average Error: 0.2 → 0.0
Time: 2.2s
Precision: 64
\[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]
↓
\[1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)\]
1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}
↓
1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)
double f(double x, double y, double z) {
        double r280080 = 1.0;
        double r280081 = 4.0;
        double r280082 = x;
        double r280083 = y;
        double r280084 = 0.75;
        double r280085 = r280083 * r280084;
        double r280086 = r280082 + r280085;
        double r280087 = z;
        double r280088 = r280086 - r280087;
        double r280089 = r280081 * r280088;
        double r280090 = r280089 / r280083;
        double r280091 = r280080 + r280090;
        return r280091;
}
↓
double f(double x, double y, double z) {
        double r280092 = 1.0;
        double r280093 = 4.0;
        double r280094 = 0.75;
        double r280095 = x;
        double r280096 = z;
        double r280097 = r280095 - r280096;
        double r280098 = y;
        double r280099 = r280097 / r280098;
        double r280100 = r280094 + r280099;
        double r280101 = r280093 * r280100;
        double r280102 = r280092 + r280101;
        return r280102;
}

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

Derivation

  1. Initial program 0.2

    \[1 + \frac{4 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)}\]

  3. Final simplification0.0

    \[\leadsto 1 + 4 \cdot \left(0.75 + \frac{x - z}{y}\right)\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A"
  :precision binary64
  (+ 1 (/ (* 4 (- (+ x (* y 0.75)) z)) y)))