Average Error: 0.0 → 0.0
Time: 14.5s
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 r1034398 = x;
        double r1034399 = y;
        double r1034400 = z;
        double r1034401 = r1034400 - r1034398;
        double r1034402 = r1034399 * r1034401;
        double r1034403 = r1034398 + r1034402;
        return r1034403;
}
↓
double f(double x, double y, double z) {
        double r1034404 = x;
        double r1034405 = z;
        double r1034406 = y;
        double r1034407 = r1034405 * r1034406;
        double r1034408 = -r1034404;
        double r1034409 = r1034406 * r1034408;
        double r1034410 = r1034407 + r1034409;
        double r1034411 = r1034404 + r1034410;
        return r1034411;
}

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 2019179 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  (+ x (* y (- z x))))