Average Error: 0.0 → 0.0
Time: 18.2s
Precision: 64
\[x + y \cdot \left(z - x\right)\]
↓
\[y \cdot \left(z - x\right) + x\]
x + y \cdot \left(z - x\right)
↓
y \cdot \left(z - x\right) + x
double f(double x, double y, double z) {
        double r15154 = x;
        double r15155 = y;
        double r15156 = z;
        double r15157 = r15156 - r15154;
        double r15158 = r15155 * r15157;
        double r15159 = r15154 + r15158;
        return r15159;
}
↓
double f(double x, double y, double z) {
        double r15160 = y;
        double r15161 = z;
        double r15162 = x;
        double r15163 = r15161 - r15162;
        double r15164 = r15160 * r15163;
        double r15165 = r15164 + r15162;
        return r15165;
}

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-rgt-in0.0

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

  5. Applied associate-+r+0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019291 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  :precision binary64
  (+ x (* y (- z x))))