Average Error: 3.1 → 0.2
Time: 1.6s
Precision: binary64
\[e^{3 \cdot \log x + 2}\]
↓
\[e^{2} \cdot {x}^{3}\]
e^{3 \cdot \log x + 2}
↓
e^{2} \cdot {x}^{3}
double code(double x) {
	return ((double) exp(((double) (((double) (3.0 * ((double) log(x)))) + 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) exp(2.0)) * ((double) pow(x, 3.0))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.1

    \[e^{3 \cdot \log x + 2}\]

  2. Simplified0.2

    \[\leadsto \color{blue}{e^{2} \cdot {x}^{3}}\]

  3. Final simplification0.2

    \[\leadsto e^{2} \cdot {x}^{3}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(exp (+ (* 3 (log x)) 2))"
  :precision binary64
  (exp (+ (* 3.0 (log x)) 2.0)))