Details

Time bar (total: 3.8s)

sample182.0ms

Algorithm
intervals
Results
70.0ms136×body80valid
38.0ms120×body160valid
35.0ms249×body80nan

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01619
12919
24919
310019
426519
579819
6301619
done500119

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ Om Omc) 2.0)
0.4b
(/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
0.4b
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
9.6b
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
65×times-frac
51×*-un-lft-identity
37×add-cube-cbrt
30×sqrt-prod
28×difference-of-squares
27×unpow-prod-down
add-exp-log
associate-/l* sqr-pow
distribute-lft-out--
pow1 add-cbrt-cube
associate-/r/ add-log-exp
pow-unpow associate-/r* div-inv
rem-sqrt-square flip3-+ div-exp pow-exp flip-+ associate-/l/
cbrt-undiv pow-to-exp asin-acos flip3-- pow-pow frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub clear-num flip--
Counts
4 → 130
Calls
4 calls:
9.0ms
(pow (/ Om Omc) 2.0)
82.0ms
(/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
1.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
83.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

series5.0ms