Average Error: 0.0 → 0.0
Time: 6.1s
Precision: binary64
\[x + y \cdot \left(z - x\right)\]
↓
\[x + y \cdot \left(z - x\right)\]
x + y \cdot \left(z - x\right)
↓
x + y \cdot \left(z - x\right)
(FPCore (x y z) :precision binary64 (+ x (* y (- z x))))
↓
(FPCore (x y z) :precision binary64 (+ x (* y (- z x))))
double code(double x, double y, double z) {
	return x + (y * (z - x));
}
↓
double code(double x, double y, double z) {
	return x + (y * (z - x));
}

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 *-un-lft-identity_binary64_780.0

    \[\leadsto x + y \cdot \color{blue}{\left(1 \cdot \left(z - x\right)\right)}\]

  4. Applied associate-*r*_binary64_180.0

    \[\leadsto x + \color{blue}{\left(y \cdot 1\right) \cdot \left(z - x\right)}\]

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2021076 
(FPCore (x y z)
  :name "SynthBasics:oscSampleBasedAux from YampaSynth-0.2"
  :precision binary64
  (+ x (* y (- z x))))