Average Error: 0.0 → 0.0
Time: 555.0ms
Precision: binary64
\[\left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6\]
↓
\[\left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6\]
\left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6
↓
\left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (1.0 + 2.0)) + 3.0)) + x)) + 4.0)) + 5.0)) + 6.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (1.0 + 2.0)) + 3.0)) + x)) + 4.0)) + 5.0)) + 6.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\left(\left(\left(1 + 2\right) + 3\right) + x\right) + 4\right) + 5\right) + 6\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (+ (+ (+ (+ (+ 1 2) 3) x) 4) 5) 6)"
  :precision binary64
  (+ (+ (+ (+ (+ (+ 1.0 2.0) 3.0) x) 4.0) 5.0) 6.0))