Average Error: 0.5 → 0.5
Time: 7.0s
Precision: 64
Internal Precision: 576
\[\sqrt{x - 1} \cdot \sqrt{x}\]
↓
\[\sqrt{-1 + x} \cdot \sqrt{x}\]

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\sqrt{x - 1} \cdot \sqrt{x}\]

  2. Initial simplification0.5

    \[\leadsto \sqrt{x + -1} \cdot \sqrt{x}\]

  3. Final simplification0.5

    \[\leadsto \sqrt{-1 + x} \cdot \sqrt{x}\]

Runtime

Time bar (total: 7.0s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.50.50.00.50%
herbie shell --seed 2018297 +o rules:numerics
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))