Average Error: 0.0 → 0.0
Time: 1.5s
Precision: binary64
\[\left(\frac{x}{2} + y \cdot x\right) + z\]
↓
\[\left(\frac{x}{2} + x \cdot y\right) + z\]
\left(\frac{x}{2} + y \cdot x\right) + z
↓
\left(\frac{x}{2} + x \cdot y\right) + z
(FPCore (x y z) :precision binary64 (+ (+ (/ x 2.0) (* y x)) z))
↓
(FPCore (x y z) :precision binary64 (+ (+ (/ x 2.0) (* x y)) z))
double code(double x, double y, double z) {
	return ((x / 2.0) + (y * x)) + z;
}
↓
double code(double x, double y, double z) {
	return ((x / 2.0) + (x * y)) + z;
}

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

    \[\left(\frac{x}{2} + y \cdot x\right) + z\]

  2. Final simplification0.0

    \[\leadsto \left(\frac{x}{2} + x \cdot y\right) + z\]

Reproduce

herbie shell --seed 2020233 
(FPCore (x y z)
  :name "Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1"
  :precision binary64
  (+ (+ (/ x 2.0) (* y x)) z))