Average Error: 16.4 → 16.4
Time: 894.0ms
Precision: binary64
\[3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}\]
↓
\[3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}\]
3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}
↓
3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}
double code(double x) {
	return ((double) (((double) (3.0 * x)) - ((double) (0.1 * ((double) sqrt(((double) (((double) (400.0 * ((double) pow(x, 2.0)))) + 80.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) (3.0 * x)) - ((double) (0.1 * ((double) sqrt(((double) (((double) (400.0 * ((double) pow(x, 2.0)))) + 80.0))))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

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Derivation

  1. Initial program 16.4

    \[3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}\]

  2. Final simplification16.4

    \[\leadsto 3 \cdot x - 0.10000000000000001 \cdot \sqrt{400 \cdot {x}^{2} + 80}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (* 3 x) (* 0.1 (sqrt (+ (* 400 (pow x 2)) 80))))"
  :precision binary64
  (- (* 3.0 x) (* 0.1 (sqrt (+ (* 400.0 (pow x 2.0)) 80.0)))))