Average Error: 0.0 → 0.0
Time: 13.6s
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[x + \left(z \cdot y + y \cdot \left(-x\right)\right)\]
x + y \cdot \left(z - x\right)
↓
x + \left(z \cdot y + y \cdot \left(-x\right)\right)
double f(double x, double y, double z) {
        double r797262 = x;
        double r797263 = y;
        double r797264 = z;
        double r797265 = r797264 - r797262;
        double r797266 = r797263 * r797265;
        double r797267 = r797262 + r797266;
        return r797267;
}
↓
double f(double x, double y, double z) {
        double r797268 = x;
        double r797269 = z;
        double r797270 = y;
        double r797271 = r797269 * r797270;
        double r797272 = -r797268;
        double r797273 = r797270 * r797272;
        double r797274 = r797271 + r797273;
        double r797275 = r797268 + r797274;
        return r797275;
}

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 0.0

    \[x + y \cdot \left(z - x\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

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

  4. Applied distribute-lft-in0.0

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

  5. Final simplification0.0

    \[\leadsto x + \left(z \cdot y + y \cdot \left(-x\right)\right)\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  (+ x (* y (- z x))))