Average Error: 1.0 → 1.0
Time: 636.0ms
Precision: binary64
\[2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}\]
↓
\[2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}\]
2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}
↓
2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}
double code() {
	return ((double) exp2(((double) exp2(((double) exp2(((double) sqrt(((double) sqrt(((double) sqrt(5.0))))))))))));
}
↓
double code() {
	return ((double) exp2(((double) exp2(((double) exp2(((double) sqrt(((double) sqrt(((double) sqrt(5.0))))))))))));
}

Error

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Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Derivation

    1. Initial program 1.0

      \[2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}\]

    2. Final simplification1.0

      \[\leadsto 2^{2^{2^{\sqrt{\sqrt{\sqrt{5}}}}}}\]

    Reproduce

    herbie shell --seed 2020152 
(FPCore ()
  :name "(exp2 (exp2 (exp2 (sqrt (sqrt (sqrt 5))))))"
  :precision binary64
  (exp2 (exp2 (exp2 (sqrt (sqrt (sqrt 5.0)))))))