Average Error: 16.8 → 16.8
Time: 3.2s
Precision: binary64
\[\sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|\]
↓
\[\sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|\]
\sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|
↓
\sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|
double code(double x) {
	return ((double) (((double) sin(((double) sqrt(x)))) + ((double) (((double) log(x)) * ((double) fabs(((double) (((double) sin(x)) * ((double) log(x))))))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) sqrt(x)))) + ((double) (((double) log(x)) * ((double) fabs(((double) (((double) sin(x)) * ((double) log(x))))))))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.8

    \[\sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|\]

  2. Final simplification16.8

    \[\leadsto \sin \left(\sqrt{x}\right) + \log x \cdot \left|\sin x \cdot \log x\right|\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (sin (sqrt x)) (* (log x) (fabs (* (sin x) (log x)))))"
  :precision binary64
  (+ (sin (sqrt x)) (* (log x) (fabs (* (sin x) (log x))))))