Average Error: 0.6 → 0.6
Time: 713.0ms
Precision: binary64
\[\frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}\]
↓
\[\frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}\]
\frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}
↓
\frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}
double code(double x) {
	return ((double) (((double) (20.0 * ((double) log(((double) fabs(x)))))) / ((double) log(10.0))));
}
↓
double code(double x) {
	return ((double) (((double) (20.0 * ((double) log(((double) fabs(x)))))) / ((double) log(10.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.6

    \[\frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}\]

  2. Final simplification0.6

    \[\leadsto \frac{20 \cdot \log \left(\left|x\right|\right)}{\log 10}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (* 20 (log (fabs x))) (log 10))"
  :precision binary64
  (/ (* 20.0 (log (fabs x))) (log 10.0)))