Average Error: 0.1 → 0.1
Time: 1.3s
Precision: binary64
\[\sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)\]
↓
\[\sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)\]
\sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)
↓
\sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)
double code(double y) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) (5.0 * y)))))) - ((double) (8.0 * ((double) log(((double) (3.0 / y))))))));
}
↓
double code(double y) {
	return ((double) (((double) sqrt(((double) (1.0 + ((double) (5.0 * y)))))) - ((double) (8.0 * ((double) log(((double) (3.0 / y))))))));
}

Error

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)\]

  2. Final simplification0.1

    \[\leadsto \sqrt{1 + 5 \cdot y} - 8 \cdot \log \left(\frac{3}{y}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y)
  :name "(- (sqrt (+ 1 (* 5 y))) (* 8 (log (/ 3 y))))"
  :precision binary64
  (- (sqrt (+ 1.0 (* 5.0 y))) (* 8.0 (log (/ 3.0 y)))))