Average Error: 0.1 → 0.1
Time: 25.4s
Precision: 64
Internal Precision: 576
\[e^{\sqrt{a + b}}\]
\[{\left(e^{\sqrt{1}}\right)}^{\left(\sqrt{a + b}\right)}\]

Error

Bits error versus a

Bits error versus b

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[e^{\sqrt{a + b}}\]
  2. Using strategy rm
  3. Applied *-un-lft-identity0.1

    \[\leadsto e^{\sqrt{\color{blue}{1 \cdot \left(a + b\right)}}}\]
  4. Applied sqrt-prod0.1

    \[\leadsto e^{\color{blue}{\sqrt{1} \cdot \sqrt{a + b}}}\]
  5. Applied exp-prod0.1

    \[\leadsto \color{blue}{{\left(e^{\sqrt{1}}\right)}^{\left(\sqrt{a + b}\right)}}\]

Runtime

Time bar (total: 25.4s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (a b)
  :name "exp(sqrt(a+b))"
  (exp (sqrt (+ a b))))