Average Error: 0.0 → 0.0
Time: 2.4s
Precision: binary64
\[\left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x\]
↓
\[\left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x\]
\left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x
↓
\left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) pow(x, 2.0)) + ((double) (2.0 * x)))) + ((double) sqrt(x)))) - ((double) sqrt(((double) (x / 2.0)))))) - ((double) log(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (((double) pow(x, 2.0)) + ((double) (2.0 * x)))) + ((double) sqrt(x)))) - ((double) sqrt(((double) (x / 2.0)))))) - ((double) log(x))));
}

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

    \[\left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\left({x}^{2} + 2 \cdot x\right) + \sqrt{x}\right) - \sqrt{\frac{x}{2}}\right) - \log x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (- (+ (+ (pow x 2) (* 2 x)) (sqrt x)) (sqrt (/ x 2))) (log x))"
  :precision binary64
  (- (- (+ (+ (pow x 2.0) (* 2.0 x)) (sqrt x)) (sqrt (/ x 2.0))) (log x)))