Average Error: 0.5 → 0
Time: 660.0ms
Precision: binary64
\[\left(\left(\left(\left(\left(\left(x + x\right) + x\right) + x\right) + x\right) + x\right) + x\right) + x\]
↓
\[x \cdot 8\]
\left(\left(\left(\left(\left(\left(x + x\right) + x\right) + x\right) + x\right) + x\right) + x\right) + x
↓
x \cdot 8
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (x + x)) + x)) + x)) + x)) + x)) + x)) + x));
}
↓
double code(double x) {
	return ((double) (x * 8.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\left(\left(\left(\left(\left(\left(x + x\right) + x\right) + x\right) + x\right) + x\right) + x\right) + x\]

  2. Simplified0

    \[\leadsto \color{blue}{x \cdot 8}\]

  3. Final simplification0

    \[\leadsto x \cdot 8\]

Reproduce

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