Average Error: 0.2 → 0.0
Time: 9.6s
Precision: 64
\[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]
↓
\[\left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]
1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}
↓
\left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0
double f(double x, double y, double z) {
        double r15887423 = 1.0;
        double r15887424 = 4.0;
        double r15887425 = x;
        double r15887426 = y;
        double r15887427 = 0.75;
        double r15887428 = r15887426 * r15887427;
        double r15887429 = r15887425 + r15887428;
        double r15887430 = z;
        double r15887431 = r15887429 - r15887430;
        double r15887432 = r15887424 * r15887431;
        double r15887433 = r15887432 / r15887426;
        double r15887434 = r15887423 + r15887433;
        return r15887434;
}
↓
double f(double x, double y, double z) {
        double r15887435 = 0.75;
        double r15887436 = z;
        double r15887437 = x;
        double r15887438 = r15887436 - r15887437;
        double r15887439 = y;
        double r15887440 = r15887438 / r15887439;
        double r15887441 = r15887435 - r15887440;
        double r15887442 = 4.0;
        double r15887443 = r15887441 * r15887442;
        double r15887444 = 1.0;
        double r15887445 = r15887443 + r15887444;
        return r15887445;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[1.0 + \frac{4.0 \cdot \left(\left(x + y \cdot 0.75\right) - z\right)}{y}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{4.0 \cdot \left(0.75 - \frac{z - x}{y}\right) + 1.0}\]

  3. Final simplification0.0

    \[\leadsto \left(0.75 - \frac{z - x}{y}\right) \cdot 4.0 + 1.0\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, A"
  (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))