Average Error: 0.5 → 0.5
Time: 37.5s
Precision: 64
Internal Precision: 384
\[\sqrt{x - 1} \cdot \sqrt{x}\]
↓
\[\sqrt{x - 1} \cdot \sqrt{x}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.5

    \[\sqrt{x - 1} \cdot \sqrt{x}\]
  2. Removed slow pow expressions.

Runtime

Time bar (total: 37.5s)Debug log

herbie shell --seed '#(1567391828 2030694642 2833800258 828025724 3004380912 3532991858)' +o setup:early-exit +o reduce:binary-search
(FPCore (x)
  :name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))