Average Error: 0.1 → 0.1
Time: 1.2s
Precision: binary64
\[\left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x\]
↓
\[\left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x\]
\left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x
↓
\left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x
double code(double x) {
	return ((double) (((double) (((double) log(10.0)) + ((double) (((double) (15.0 / 10.0)) * ((double) sqrt(((double) (x + 5.0)))))))) + ((double) sin(x))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) log(10.0)) + ((double) (((double) (15.0 / 10.0)) * ((double) sqrt(((double) (x + 5.0)))))))) + ((double) sin(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x\]

  2. Final simplification0.1

    \[\leadsto \left(\log 10 + \frac{15}{10} \cdot \sqrt{x + 5}\right) + \sin x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (+ (log 10) (* (/ 15 10) (sqrt (+ x 5)))) (sin x))"
  :precision binary64
  (+ (+ (log 10.0) (* (/ 15.0 10.0) (sqrt (+ x 5.0)))) (sin x)))