Average Error: 8.2 → 8.2
Time: 904.0ms
Precision: binary64
\[\frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}\]
↓
\[\frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}\]
\frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}
↓
\frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}
double code() {
	return ((double) (((double) (((double) cos(((double) (((double) (2.0 * ((double) M_PI))) / 3.0)))) * ((double) (((double) M_E) - 2.7)))) / ((double) (((double) (((double) M_PI) - ((double) sqrt(2.0)))) - ((double) sqrt(3.0))))));
}
↓
double code() {
	return ((double) (((double) (((double) cos(((double) (((double) (2.0 * ((double) M_PI))) / 3.0)))) * ((double) (((double) M_E) - 2.7)))) / ((double) (((double) (((double) M_PI) - ((double) sqrt(2.0)))) - ((double) sqrt(3.0))))));
}

Error

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    Results

    Enter valid numbers for all inputs

    Derivation

    1. Initial program 8.2

      \[\frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}\]

    2. Final simplification8.2

      \[\leadsto \frac{\cos \left(\frac{2 \cdot \pi}{3}\right) \cdot \left(e - 2.7000000000000002\right)}{\left(\pi - \sqrt{2}\right) - \sqrt{3}}\]

    Reproduce

    herbie shell --seed 2020152 
(FPCore ()
  :name "(/ (* (cos (/ (* 2 PI) 3)) (- E 2.7)) (- (- PI (sqrt 2)) (sqrt 3)))"
  :precision binary64
  (/ (* (cos (/ (* 2.0 PI) 3.0)) (- E 2.7)) (- (- PI (sqrt 2.0)) (sqrt 3.0))))