Average Error: 0.5 → 0.5
Time: 3.2s
Precision: binary64
\[\log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)\]
↓
\[\log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)\]
\log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)
↓
\log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)
double code(double s, double x) {
	return ((double) log(((double) (((double) (100.0 * ((double) exp(((double) (((double) sqrt(s)) * x)))))) + 1.0))));
}
↓
double code(double s, double x) {
	return ((double) log(((double) (((double) (100.0 * ((double) exp(((double) (((double) sqrt(s)) * x)))))) + 1.0))));
}

Error

Bits error versus s

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)\]

  2. Final simplification0.5

    \[\leadsto \log \left(100 \cdot e^{\sqrt{s} \cdot x} + 1\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (s x)
  :name "(log (+ (* 100 (exp (* (sqrt s) x))) 1))"
  :precision binary64
  (log (+ (* 100.0 (exp (* (sqrt s) x))) 1.0)))