Average Error: 0.1 → 0.1
Time: 779.0ms
Precision: binary64
\[\left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1\]
↓
\[\left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1\]
\left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1
↓
\left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1
double code(double x) {
	return ((double) (((double) (((double) (((double) (x * 3.0)) + ((double) (x * 2.0)))) + x)) + 1.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (x * 3.0)) + ((double) (x * 2.0)))) + x)) + 1.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1\]

  2. Final simplification0.1

    \[\leadsto \left(\left(x \cdot 3 + x \cdot 2\right) + x\right) + 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (+ (+ (* x 3) (* x 2)) x) 1)"
  :precision binary64
  (+ (+ (+ (* x 3.0) (* x 2.0)) x) 1.0))