Average Error: 0 → 0
Time: 1.0s
Precision: binary64
Cost: 576
\[\left(\left(\left(x + x\right) + x\right) + x\right) + x\]
↓
\[x + \left(x + \left(x + \left(x + x\right)\right)\right)\]
\left(\left(\left(x + x\right) + x\right) + x\right) + x
↓
x + \left(x + \left(x + \left(x + x\right)\right)\right)
(FPCore (x) :precision binary64 (+ (+ (+ (+ x x) x) x) x))
↓
(FPCore (x) :precision binary64 (+ x (+ x (+ x (+ x x)))))
double code(double x) {
	return (((x + x) + x) + x) + x;
}
↓
double code(double x) {
	return x + (x + (x + (x + x)));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Error0
Cost192
\[x \cdot 5\]
Alternative 2
Error61.7
Cost64
\[1\]
Alternative 3
Error61.6
Cost64
\[0\]
Alternative 4
Error61.8
Cost64
\[-1\]

Error

Derivation

  1. Initial program 0

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

  2. Simplified0

    \[\leadsto \color{blue}{x + \left(x + \left(x + \left(x + x\right)\right)\right)}\]

  3. Final simplification0

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

Reproduce

herbie shell --seed 2021042 
(FPCore (x)
  :name "Main:i from "
  :precision binary64
  (+ (+ (+ (+ x x) x) x) x))