Average Error: 10.7 → 0.0
Time: 1.3s
Precision: binary64
\[\left(e^{x} - \sqrt{x \cdot x}\right) - x\]
↓
\[e^{x} - \left(\left|x\right| + x\right)\]
\left(e^{x} - \sqrt{x \cdot x}\right) - x
↓
e^{x} - \left(\left|x\right| + x\right)
double code(double x) {
	return ((double) (((double) (((double) exp(x)) - ((double) sqrt(((double) (x * x)))))) - x));
}
↓
double code(double x) {
	return ((double) (((double) exp(x)) - ((double) (((double) fabs(x)) + x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 10.7

    \[\left(e^{x} - \sqrt{x \cdot x}\right) - x\]

  2. Simplified0.0

    \[\leadsto \color{blue}{e^{x} - \left(\left|x\right| + x\right)}\]

  3. Final simplification0.0

    \[\leadsto e^{x} - \left(\left|x\right| + x\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (- (exp x) (sqrt (* x x))) x)"
  :precision binary64
  (- (- (exp x) (sqrt (* x x))) x))