Average Error: 0.0 → 0.0
Time: 1.2s
Precision: binary64
\[\left(y - y \cdot x\right) + z \cdot x\]
↓
\[x \cdot \left(z - y\right) + y\]
\left(y - y \cdot x\right) + z \cdot x
↓
x \cdot \left(z - y\right) + y
double code(double y, double x, double z) {
	return ((double) (((double) (y - ((double) (y * x)))) + ((double) (z * x))));
}
↓
double code(double y, double x, double z) {
	return ((double) (((double) (x * ((double) (z - y)))) + y));
}

Error

Bits error versus y

Bits error versus x

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (y x z)
  :name "(+ (- y (* y x)) (* z x))"
  :precision binary64
  (+ (- y (* y x)) (* z x)))