Details

Time bar (total: 4.3s)

sample225.0ms

Algorithm
intervals
Results
88.0ms382×body80valid
86.0ms702×body80nan

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01316
12916
25916
311916
431316
585316
6319616
done500116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
55×times-frac
49×*-un-lft-identity
46×add-exp-log
43×add-cube-cbrt
23×associate-*l* sqrt-prod
22×prod-exp
19×pow-unpow
16×add-cbrt-cube
15×pow1
pow-exp
associate-*r*
div-exp pow-prod-down associate-/r* unswap-sqr
cbrt-unprod sqr-pow
expm1-log1p-u log1p-expm1-u add-log-exp
pow-to-exp pow-pow div-sub div-inv associate-/l* distribute-lft-out-- pow-sub difference-of-squares
cbrt-undiv unpow-prod-down *-commutative
frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 157
Calls
4 calls:
49.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
39.0ms
(* (* 2.0 PI) n)
15.0ms
(/ 1.0 (sqrt k))
45.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series83.0ms