Details

Time bar (total: 3.6s)

sample141.0ms

Algorithm
intervals
Results
27.0ms249×body80nan
27.0ms120×body160valid
15.0ms136×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
01619
12919
25118
310818
427918
583518
6311618
done500018

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
65×times-frac
51×*-un-lft-identity
37×add-cube-cbrt
28×sqrt-prod difference-of-squares
27×unpow-prod-down
add-exp-log
associate-/l* sqr-pow
distribute-lft-out--
pow1 add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow associate-/r* div-inv
rem-sqrt-square div-exp pow-exp 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 → 134
Calls
4 calls:
7.0ms
(pow (/ Om Omc) 2.0)
79.0ms
(/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma 2.0 (pow (/ t l) 2.0) 1.0))
1.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma 2.0 (pow (/ t l) 2.0) 1.0))))
85.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (fma 2.0 (pow (/ t l) 2.0) 1.0)))

series5.0ms