Average Error: 32.4 → 32.4
Time: 2.2s
Precision: binary64
\[\frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}\]
↓
\[\frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}\]
\frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}
↓
\frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}
double code(double f, double x) {
	return ((double) (((double) (((double) (((double) (1.4744991999999999e-18 * f)) * f)) * f)) / ((double) (((double) exp(((double) (0.047992375 / x)))) - 1.0))));
}
↓
double code(double f, double x) {
	return ((double) (((double) (((double) (((double) (1.4744991999999999e-18 * f)) * f)) * f)) / ((double) (((double) exp(((double) (0.047992375 / x)))) - 1.0))));
}

Error

Bits error versus f

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 32.4

    \[\frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}\]

  2. Final simplification32.4

    \[\leadsto \frac{\left(\left(1.4744991999999999 \cdot 10^{-18} \cdot f\right) \cdot f\right) \cdot f}{e^{\frac{0.0479923749999999968}{x}} - 1}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (f x)
  :name "(/ (* (* (* 1.4744991999999999e-18 f) f) f) (- (exp (/ 0.047992375 x)) 1))"
  :precision binary64
  (/ (* (* (* 1.4744991999999999e-18 f) f) f) (- (exp (/ 0.047992375 x)) 1.0)))