Average Error: 57.3 → 57.3
Time: 3.2s
Precision: binary64
\[e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1\]
↓
\[e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1\]
e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1
↓
e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1
double code(double x) {
	return ((double) (((double) exp(((double) (((double) (((double) (((double) (x + 1.0)) * ((double) (x + 1.0)))) - ((double) (x * ((double) (x + 1.0)))))) - 1.0)))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) exp(((double) (((double) (((double) (((double) (x + 1.0)) * ((double) (x + 1.0)))) - ((double) (x * ((double) (x + 1.0)))))) - 1.0)))) - 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 57.3

    \[e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1\]

  2. Final simplification57.3

    \[\leadsto e^{\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1} - 1\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (exp (- (- (* (+ x 1) (+ x 1)) (* x (+ x 1))) 1)) 1)"
  :precision binary64
  (- (exp (- (- (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0))) 1.0)) 1.0))