Average Error: 2.4 → 2.4
Time: 2.9s
Precision: binary64
\[\frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}\]
↓
\[\frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}\]
\frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}
↓
\frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}
double code(double x, double y) {
	return ((double) (((double) log(((double) (((double) exp(((double) (((double) (23.0 * x)) + y)))) * 2.0)))) / ((double) log(14.0))));
}
↓
double code(double x, double y) {
	return ((double) (((double) log(((double) (((double) exp(((double) (((double) (23.0 * x)) + y)))) * 2.0)))) / ((double) log(14.0))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.4

    \[\frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}\]

  2. Final simplification2.4

    \[\leadsto \frac{\log \left(e^{23 \cdot x + y} \cdot 2\right)}{\log 14}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(/ (log (* (exp (+ (* 23 x) y)) 2)) (log 14))"
  :precision binary64
  (/ (log (* (exp (+ (* 23.0 x) y)) 2.0)) (log 14.0)))