Details

Time bar (total: 4.4s)

sample189.0ms

Algorithm
intervals
Results
89.0ms702×body80nan
56.0ms382×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
12916
25916
311916
431316
584316
6322116
done500116

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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))

rewrite132.0ms

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
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 → 149
Calls
4 calls:
55.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms
(* (* 2.0 PI) n)
6.0ms
(/ 1.0 (sqrt k))
29.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series85.0ms