Average Error: 0.1 → 0.1
Time: 10.0s
Precision: 64
Internal Precision: 320
\[\sqrt{\sqrt{sqrtx + 1}}\]
\[\sqrt{\sqrt{1 + sqrtx}}\]

Error

Bits error versus sqrtx

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\sqrt{\sqrt{sqrtx + 1}}\]
  2. Final simplification0.1

    \[\leadsto \sqrt{\sqrt{1 + sqrtx}}\]

Runtime

Time bar (total: 10.0s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (sqrtx)
  :name "sqrt(sqrt(sqrtx+1))"
  (sqrt (sqrt (+ sqrtx 1))))