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 r360085 = 1.0;
        double r360086 = 4.0;
        double r360087 = x;
        double r360088 = y;
        double r360089 = 0.75;
        double r360090 = r360088 * r360089;
        double r360091 = r360087 + r360090;
        double r360092 = z;
        double r360093 = r360091 - r360092;
        double r360094 = r360086 * r360093;
        double r360095 = r360094 / r360088;
        double r360096 = r360085 + r360095;
        return r360096;
}
↓
double f(double x, double y, double z) {
        double r360097 = 1.0;
        double r360098 = 4.0;
        double r360099 = 0.75;
        double r360100 = x;
        double r360101 = z;
        double r360102 = r360100 - r360101;
        double r360103 = y;
        double r360104 = r360102 / r360103;
        double r360105 = r360099 + r360104;
        double r360106 = r360098 * r360105;
        double r360107 = r360097 + r360106;
        return r360107;
}

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)))